{"id":11554,"date":"2022-04-05T13:06:30","date_gmt":"2022-04-05T07:36:30","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=11554"},"modified":"2022-04-07T11:32:07","modified_gmt":"2022-04-07T06:02:07","slug":"big-ideas-math-answers-grade-3-chapter-8","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-3-chapter-8\/","title":{"rendered":"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers"},"content":{"rendered":"<p>Are you searching for the solutions of <a href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-3\/\">Big Ideas Math Grade 3<\/a> Chapter 8 Add and Subtract Multi-Digit Numbers questions? If yes, then you are at the correct place. We are giving the solution and explanation for each and every question mentioned at BIM 3rd Grade 8th Chapter Add and Subtract Multi-Digit Numbers Book. Students who want to complete their homework in time can download the Big Ideas Math\u00a0 Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers Solutions PDF.<\/p>\n<h2>Big Ideas Math Book 3rd Grade Answer Key Chapter 8 Add and Subtract Multi-Digit Numbers<\/h2>\n<p>BIM 3rd Grade 8th Chapter Add and Subtract Multi-Digit Numbers Answers are not only useful for the children but also for teachers and parents. If parents or teachers find any question difficult to solve, then they can refer to Big Ideas Math Book Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers Solution Key.<\/p>\n<p>The topics included in the answer key are Identify Addition Properties, Use Number Lines to Addition, Use Mental Math to Add, Use Partial Sums to Add, Add Three-Digit Numbers, Add Three or More Numbers, Use Number Lines to Subtract, Use Mental Math to Subtract, Subtract Three-Digit Numbers, Relate Addition and Subtraction. The problem solving or performance task sections mentioned after these lessons are helpful to check skills.<\/p>\n<p><strong>Lesson 1 &#8211; Identify Addition Properties<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.1_Identify_Addition_Properties\">Lesson 8.1 Identify Addition Properties<\/a><\/li>\n<li><a href=\"#Identify_Addition_Properties_Homework_&amp;_Practice_8.1\">Identify Addition Properties Homework &amp; Practice 8.1<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 2 &#8211; Use Number Lines to Addition<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.2 _Use_Number_Lines_to_Addition\">Lesson 8.2 Use Number Lines to Addition<\/a><\/li>\n<li><a href=\"#Use_Number_Lines_to_Addition_Homework_&amp;_Practice_8.2\">Use Number Lines to Addition Homework &amp; Practice 8.2<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 3 &#8211;\u00a0 Use Mental Math to Add<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.3_Use_Mental_Math_to_Add\">Lesson 8.3 Use Mental Math to Add<\/a><\/li>\n<li><a href=\"#Use_Mental_Math_to_Add_Homework_&amp;_Practice_8.3\">Use Mental Math to Add Homework &amp; Practice 8.3<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 4 &#8211; Use Partial Sums to Add<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.4_Use_Partial_Sums_to_Add\">Lesson 8.4 Use Partial Sums to Add<\/a><\/li>\n<li><a href=\"#Use_Partial_Sums_to_Add_Homework_&amp;_Practice_8.4\">Use Partial Sums to Add Homework &amp; Practice 8.4<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 5 &#8211; Add Three-Digit Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.5_Add_Three_Digit_Numbers\">Lesson 8.5 Add Three-Digit Numbers<\/a><\/li>\n<li><a href=\"#Add_Three_Digit_Numbers_Homework_&amp;_Practice_8.5\">Add Three-Digit Numbers Homework &amp; Practice 8.5<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 6 &#8211; Add Three or More Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.6_Add_Three_or_More_Numbers\">Lesson 8.6 Add Three or More Numbers<\/a><\/li>\n<li><a href=\"#Add_Three_or_More_Numbers_Homework_&amp;_Practice_8.6\">Add Three or More Numbers Homework &amp; Practice 8.6<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 7 &#8211; Use Number Lines to Subtract<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.7_Use_Number_Lines_to_Subtract\">Lesson 8.7 Use Number Lines to Subtract<\/a><\/li>\n<li><a href=\"#Use_Number_Lines_to_Subtract_Homework_&amp;_Practice_8.7\">Use Number Lines to Subtract Homework &amp; Practice 8.7<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 8 &#8211; Use Mental Math to Subtract<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.8_Use_Mental_Math_to_Subtract\">Lesson 8.8 Use Mental Math to Subtract<\/a><\/li>\n<li><a href=\"#Use_Mental_Math_to_Subtract_Homework_&amp;_Practice_8.8\">Use Mental Math to Subtract Homework &amp; Practice 8.8<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 9 &#8211; Subtract Three-Digit Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.9_Subtract_Three_Digit_Numbers\">Lesson 8.9 Subtract Three-Digit Numbers<\/a><\/li>\n<li><a href=\"#Subtract_Three_Digit_Numbers_Homework_&amp;_Practice_8.9\">Subtract Three-Digit Numbers Homework &amp; Practice 8.9<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 10 &#8211; Relate Addition and Subtraction<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.10_Relate_Addition_and_Subtraction\">Lesson 8.10 Relate Addition and Subtraction<\/a><\/li>\n<li><a href=\"#Relate_Addition_and_Subtraction_Homework_&amp;_Practice_8.10\">Relate Addition and Subtraction Homework &amp; Practice 8.10<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 11 &#8211; Problem Solving: Addition and Subtraction<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_8.11_Problem_Solving:_Addition_and_Subtraction\">Lesson 8.11 Problem Solving: Addition and Subtraction<\/a><\/li>\n<li><a href=\"#Problem Solving: Addition and Subtraction Homework &amp; Practice 8.11\">Problem Solving: Addition and Subtraction Homework &amp; Practice 8.11<\/a><\/li>\n<\/ul>\n<p><strong>Performance Task<\/strong><\/p>\n<ul>\n<li><a href=\"#Add_and_Subtract_Multi_Digit_Numbers_Performance_Task\">Add and Subtract Multi-Digit Numbers Performance Task<\/a><\/li>\n<li><a href=\"#Add_and_Subtract_Multi_Digit_Numbers_activity\">Add and Subtract Multi-Digit Numbers Activity<\/a><\/li>\n<li><a href=\"#Add_and_Subtract_Multi_Digit_Numbers_Chapter_Practice\">Add and Subtract Multi-Digit Numbers Chapter Practice<\/a><\/li>\n<li><a href=\"#Add_and_Subtract_Multi_Digit_Numbers_Cumulative_Practice_1_8\">Add and Subtract Multi-Digit Numbers Cumulative Practice 1 &#8211; 8<\/a><\/li>\n<li><a href=\"#Add_and_Subtract_Multi_Digit_Numbers_Performance_Task_1_8\">Add and Subtract Multi-Digit Numbers Steam Performance Task 1-8<\/a><\/li>\n<\/ul>\n<h3><a id=\"Lesson_8.1_Identify_Addition_Properties\"><\/a>Lesson 8.1 Identify Addition Properties<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use the addition table to write all of the addition equations that have a sum of 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11770\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-1.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 1\" width=\"490\" height=\"305\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-1.png 490w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-1-300x187.png 300w\" sizes=\"(max-width: 490px) 100vw, 490px\" \/><br \/>\nWhat do you notice now?<br \/>\nAnswer:<br \/>\nBy adding a vertical number and the horizontal number we can find the sum of 13.<br \/>\n0 + 0 = 0<br \/>\n0 + 1 = 0<br \/>\nAdd blue line and yellow line.<br \/>\nAdd 10 in the blue column and 3 in the yellow column.<br \/>\n10 + 3 = 13<br \/>\nThus the addition equation has the sum of 13.<\/p>\n<p><strong>Structure<\/strong><br \/>\nUse the addition table to write all of the equations that have a sum of 12. What do you notice?<\/p>\n<p>Answer:<br \/>\nAdd blue line and yellow line.<br \/>\nAdd 10 in the blue column and 2 in the yellow column.<br \/>\n10 + 2 = 12<br \/>\nThus the addition equation has the sum of 12.<\/p>\n<p><strong>Think and Grow: Addition Properties<\/strong><br \/>\nChanging the order of addends does not change the sum.<br \/>\n3 + 5 = 5 + 3<br \/>\nAssociative Property of Addition<br \/>\nChanging the grouping of addends does not change the sum.<br \/>\n(7 + 6) + 4 = 7 + (6 + 4)<br \/>\nAddition Property of Zero<br \/>\nThe sum of any number and 0 is that number.<br \/>\n9 + 0 = 9<br \/>\n<strong>Example<\/strong><br \/>\nIdentify the property.<br \/>\n56 + 0 = ___<br \/>\n12 + 29 = 29 + 12 _____<br \/>\n(24 + 17) + 23 = 24 + (17 + 23) ____<\/p>\n<p>Answer:<br \/>\n56 + 0 = 56<br \/>\nIt shows Addition Property of Zero. The Addition Property of Zero defines the sum of any number and 0 is that number.<br \/>\n12 + 29 = 29 + 12<br \/>\nChanging the order of addends does not change the sum.<br \/>\n(24 + 17) + 23 = 24 + (17 + 23)<br \/>\nIt satisfies the Associative Property of Addition. It is defined as changing the grouping of addends does not change the sum.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Identify the property.<\/p>\n<p>Question 1.<br \/>\n16 + (14 + 19) = (16 + 14) + 19<\/p>\n<p>Answer:<br \/>\nIt satisfies the Associative Property of Addition. It is defined as changing the grouping of addends does not change the sum.<\/p>\n<p>Question 2.<br \/>\n11 + 54 = 54 + 11<\/p>\n<p>Answer:<br \/>\nAssociative Property of Addition defines the changing the order of addends does not change the sum.<\/p>\n<p>Question 3.<br \/>\n0 + 43 = 43<\/p>\n<p>Answer: Addition Property of Zero<br \/>\nThe Addition Property of Zero defines the sum of any number and 0 is that number.<\/p>\n<p>Question 4.<br \/>\n(27 + 18) + 22 = 27 + (18 + 22)<\/p>\n<p>Answer:<br \/>\nIt satisfies the Associative Property of Addition. It is defined as changing the grouping of addends does not change the sum.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Identify the property.<\/p>\n<p>Question 5.<br \/>\n(28 + 16) + 14 = 28 + (16 + 14)<\/p>\n<p>Answer:<br \/>\nIt satisfies the Associative Property of Addition. It is defined as changing the grouping of addends does not change the sum.<\/p>\n<p>Question 6.<br \/>\n12 + 35 = 35 + 12<\/p>\n<p>Answer:<br \/>\nAssociative Property of Addition defines the changing the order of addends does not change the sum.<\/p>\n<p>Question 7.<br \/>\n36 + 0 = 36<\/p>\n<p>Answer:<br \/>\nThe Addition Property of Zero defines the sum of any number and 0 is that number.<\/p>\n<p>Question 8.<br \/>\n11 + (9 + 57) = (11 + 9) + 57<\/p>\n<p>Answer:<br \/>\nIt satisfies the Associative Property of Addition. It is defined as changing the grouping of addends does not change the sum.<\/p>\n<p>Find the missing number.<\/p>\n<p>Question 9.<br \/>\n23 + 45 = 45 + ___<\/p>\n<p>Answer: 23<\/p>\n<p>Explanation:<br \/>\nLet the missing number be x.<br \/>\nBy using the Associative Property of Addition property we can find the missing number.<br \/>\n23 + 45 = 45 + x<br \/>\n23 + 45 = 45 + 23<br \/>\nThus the missing number is 23.<\/p>\n<p>Question 10.<br \/>\n(13 + 12) + __ = 13 + (12 + 45)<\/p>\n<p>Answer: 45<\/p>\n<p>Explanation:<br \/>\nLet the missing number be x.<br \/>\nBy using the Associative Property of Addition property we can find the missing number.<br \/>\n(13 + 12) + x = 13 + (12 + 45)<br \/>\nThus the missing number is 45.<\/p>\n<p>Question 11.<br \/>\n4 + (76 + 10) = (___ + 76) + 10<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<br \/>\nLet the missing number be x.<br \/>\nBy using the Associative Property of Addition property we can find the missing number.<br \/>\n4 + (76 + 10) = (x + 76) + 10<br \/>\n4 + (76 + 10) = (4 + 76) + 10<br \/>\nThus the missing number is 4.<\/p>\n<p>Question 12.<br \/>\n98 + ___ = 98<\/p>\n<p>Answer: 0<\/p>\n<p>Explanation:<br \/>\nLet the missing number be x.<br \/>\nThe Addition Property of Zero defines the sum of any number and 0 is that number.<br \/>\n98 + x = 98<br \/>\nx = 98 &#8211; 98<br \/>\nx = 0<br \/>\nThus the missing number is 0.<\/p>\n<p>Question 13.<br \/>\n(___ + 0) + 32 = 6 + 32<\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\nLet the missing number be x.<br \/>\nBy using the Associative Property of Addition property we can find the missing number.<br \/>\n(x + 0) + 32 = 6 + 32<br \/>\nx + 32 = 38<br \/>\nx = 38 &#8211; 32<br \/>\nx = 6<br \/>\nThus the missing number is 6.<\/p>\n<p>Question 14.<br \/>\n64 + (5 + 23) = (23 + ___) + 64<\/p>\n<p>Answer: 5<\/p>\n<p>Explanation:<br \/>\nLet the missing number be x.<br \/>\nBy using the Associative Property of Addition property we can find the missing number.<br \/>\n64 + (5 + 23) = (23 + x) + 64<br \/>\n64 + 28 = 23 + x + 64<br \/>\n82 = x + 87<br \/>\nx = 87 &#8211; 82<br \/>\nx = 5<br \/>\nThus the missing number is 5.<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nUse the numbers 24, 54, and 11 to write an equation that shows the Associative Property of Addition.<\/p>\n<p>Answer:<br \/>\nWe can write the equation by using the Associative Property of Addition.<br \/>\n24 + (54 + 11) = (24 + 54) + 11<\/p>\n<p><strong>Writing<\/strong><br \/>\nUse a property to find the sum. Which property did you use? Why?<\/p>\n<p>Question 16.<br \/>\n54 + 0 = __<\/p>\n<p>Answer: 54<\/p>\n<p>Explanation:<br \/>\nWe can find the sum of the 54 + 0 by using the addition property of zero.<br \/>\nThe Addition Property of Zero defines the sum of any number and 0 is that number.<br \/>\n54 + 0 = 54<\/p>\n<p>Question 17.<br \/>\n(46 + 17) + 33 = ___<\/p>\n<p>Answer: 96<\/p>\n<p>Explanation:<br \/>\nWe can find the sum of the (46 + 17) + 33 by using the Associative Property of Addition.<br \/>\n(46 + 17) + 33 = 96<\/p>\n<p>Question 8.<br \/>\n20 + 63 = ___<\/p>\n<p>Answer: 83<\/p>\n<p>Explanation:<br \/>\nWe can find the sum of the Associative Property of Addition.<br \/>\n20 + 63 = 83<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-11771\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-2.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 2\" width=\"172\" height=\"261\" \/><br \/>\nA tourist visits 13 museums, 19 memorials, and 11 monuments. Explain how to use a property to find the total number of sites the tourist visits.<br \/>\n(13 + 19) + 11 = ?<br \/>\nExplain:<br \/>\nThe tourist visits ___ sites.<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA tourist visits 13 museums, 19 memorials, and 11 monuments.<br \/>\nWe can find the total number of sites the tourist visits.<br \/>\n(13 + 19) + 11 = 13 + (19 + 11) = 43<br \/>\nThus the tourist visits 43 sites.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 19.<br \/>\nA farmer sells 34 cucumbers, 48 ears of corn, and 26 bell peppers at a farmer\u2019s market. Explain how to use properties to find the total number of vegetables the farmer sells.<br \/>\n(34 + 48) + 26 = ?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA farmer sells 34 cucumbers, 48 ears of corn, and 26 bell peppers at a farmer\u2019s market.<br \/>\nWe can find the sum of the Associative Property of Addition.<br \/>\n(34 + 48) + 26 = 34 + (48 + 26)<br \/>\n34 + 48 + 26 = 108<br \/>\nThus the total number of vegetables the farmer sells is 108.<\/p>\n<p>Question 20.<br \/>\nHow many people go on the field trip?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11772\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-3.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 3\" width=\"251\" height=\"186\" \/><\/p>\n<p>Answer:<br \/>\nThe number of adults = 20<br \/>\nThe number of grade 2 students = 47<br \/>\nThe number of grade 3 students = 53<br \/>\n20 + 47 + 53 = 120<br \/>\nThus 120 people go on the field trip.<\/p>\n<p><strong>DIG DEEPER!<\/strong><br \/>\nThe Grade 2 and Grade 3 students are divided into 10 equal groups. How many students are in each group? Explain.<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nThe Grade 2 and Grade 3 students are divided into 10 equal groups.<br \/>\nThe number of grade 2 students = 47<br \/>\nThe number of grade 3 students = 53<br \/>\n47 + 53 = 100<br \/>\n100\/10 = 10<br \/>\nThus there are 10 students in each group.<\/p>\n<h3><a id=\"Identify_Addition_Properties_Homework_&amp;_Practice_8.1\"><\/a>Identify Addition Properties Homework &amp; Practice 8.1<\/h3>\n<p>Identify the property.<\/p>\n<p>Question 1.<br \/>\n(79 + 12) + 13 = 79 + (12 + 13)<\/p>\n<p>Answer: Associative property of addition<br \/>\nIt satisfies the Associative Property of Addition. It is defined as changing the grouping of addends does not change the sum.<\/p>\n<p>Question 2.<br \/>\n24 + 63 = 63 + 24<\/p>\n<p>Answer: Associative property of addition<br \/>\nIt satisfies the Associative Property of Addition. It is defined as changing the grouping of addends does not change the sum.<\/p>\n<p>Question 3.<br \/>\n0 + 64 = 64<\/p>\n<p>Answer: Associative property of zero<br \/>\nThe Addition Property of Zero defines the sum of any number and 0 is that number.<\/p>\n<p>Question 4.<br \/>\n37 + (43 + 19) = (37 + 43) + 19<\/p>\n<p>Answer: Associative property of addition<br \/>\nIt satisfies the Associative Property of Addition. It is defined as changing the grouping of addends does not change the sum.<\/p>\n<p>Question 5.<br \/>\n17 + 38 = 38 + 17<\/p>\n<p>Answer: Associative property of addition<br \/>\nIt satisfies the Associative Property of Addition. It is defined as changing the grouping of addends does not change the sum.<\/p>\n<p>Question 6.<br \/>\n18 + 48 = 48 + 18<\/p>\n<p>Answer: Associative property of addition<br \/>\nIt satisfies the Associative Property of Addition. It is defined as changing the grouping of addends does not change the sum.<\/p>\n<p>Find the missing number.<\/p>\n<p>Question 7.<br \/>\n36 + __ = 36<\/p>\n<p>Answer: 0<\/p>\n<p>Explanation:<br \/>\nLet the missing number be x.<br \/>\n36 + x = 36<br \/>\nx = 36 &#8211; 36<br \/>\nx = 0<br \/>\nThus the missing number is 0.<\/p>\n<p>Question 8.<br \/>\n25 + __ + 11 = 25 + 11<\/p>\n<p>Answer: 0<\/p>\n<p>Explanation:<br \/>\nLet the missing number be y.<br \/>\n25 + y + 11 = 25 + 11<br \/>\ny + 36 = 36<br \/>\ny = 36 &#8211; 36<br \/>\ny = 0<br \/>\nThus the missing number is 0.<\/p>\n<p>Question 9.<br \/>\n0 + 43 = __ + 0<\/p>\n<p>Answer: 43<\/p>\n<p>Explanation:<br \/>\nLet the missing number be t.<br \/>\n0 + 43 = t + 0<br \/>\n43 = t<br \/>\nThus the missing number is 43.<\/p>\n<p>Question 10.<br \/>\n(22 + 19) + 28 = 19 + (___ + 28)<\/p>\n<p>Answer: 22<\/p>\n<p>Explanation:<br \/>\nLet the missing number be p.<br \/>\n22 + 19 + 28 = 19 + p + 28<br \/>\n69 = 47 + p<br \/>\np = 69 &#8211; 47<br \/>\np = 22<br \/>\nThus the missing number is 22.<\/p>\n<p>Question 11.<br \/>\n<strong>Number Sense<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11773\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-4.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 4\" width=\"265\" height=\"170\" \/><br \/>\nNewton uses two properties. Identify the properties he uses.<\/p>\n<p>Answer:<br \/>\nGiven the expression (18 + 27) + 12 = 27 + (18 + 12)<br \/>\nBy seeing the above expression we can say that Newton used Associative Property of Addition and Commutative Property of Addition.<\/p>\n<p>Question 12.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nWrite an equation that shows the Commutative Property of Addition.<\/p>\n<p>Answer: 4 + 2 = 2 + 4<br \/>\nCommutative property of addition: Changing the order of addends does not change the sum.<\/p>\n<p>Question 13.<br \/>\n<strong>Structure<\/strong><br \/>\nExplain how the Associative Property of Addition and the Associative Property of Multiplication are alike and how they are different.<\/p>\n<p>Answer:<br \/>\nAssociative property explains that addition and multiplication of numbers are possible regardless of how they are grouped.<br \/>\nExample:<br \/>\n2 \u00d7 (3 \u00d7 5) = (2 \u00d7 3) \u00d7 5<br \/>\n2 + (3 + 5) = (2 + 3) + 5<br \/>\nThe method is same but the solution for both the equations are different.<\/p>\n<p>Question 14.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA florist uses 11 roses, 12 lilies, and 19 daisies to make bouquets. How many flowers does he use?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA florist uses 11 roses, 12 lilies, and 19 daisies to make bouquets.<br \/>\nAdd all the flowers to find the total number of flowers he used.<br \/>\n11 + 12 + 19 = 42<br \/>\nThus he used 42 flowers.<\/p>\n<p><strong>DIG DEEPER!<\/strong><br \/>\nThe florist uses 6 flowers for each bouquet. How many bouquets does he make? Explain.<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nThe florist uses 6 flowers for each bouquet.<br \/>\nTotal flowers = 42<br \/>\nDivide the total number of flowers by the number of flowers in each bouquet<br \/>\n42\/6 = 7<br \/>\nThus he made 7 bouquets.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Find the product.<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11839\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-400.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 400\" width=\"67\" height=\"68\" \/><\/p>\n<p>Answer:<br \/>\nMultiply the two numbers 0 and 3.<br \/>\n0 \u00d7 3 = 0<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11774\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-5.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 5\" width=\"63\" height=\"62\" \/><\/p>\n<p>Answer:<br \/>\nMultiply the two numbers 7 and 7.<br \/>\n7 \u00d7 7 = 49<\/p>\n<p>Question 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11775\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-6.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 6\" width=\"65\" height=\"62\" \/><\/p>\n<p>Answer:<br \/>\nMultiply the two numbers 10 and 4.<br \/>\n10 \u00d7 4 = 40<\/p>\n<p>Question 18<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11776\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-7.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 7\" width=\"72\" height=\"69\" \/><\/p>\n<p>Answer:<br \/>\nMultiply the two numbers 7 and 6.<br \/>\n7 \u00d7 6 = 42<\/p>\n<h3><a id=\"Lesson_8.2 _Use_Number_Lines_to_Addition\"><\/a>Lesson 8.2 Use Number Lines to Addition<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Color to find 33 + 25. Then model your jumps on the number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11777\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-8.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 8\" width=\"514\" height=\"433\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-8.png 514w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-8-300x253.png 300w\" sizes=\"(max-width: 514px) 100vw, 514px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-16718\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-8-300x253.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-8\" width=\"300\" height=\"253\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-8-300x253.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-8.jpg 514w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nFirst, you have to color the two numbers 33 and 25.<br \/>\nNow add 33 and 25<br \/>\n33 + 25 = 58<br \/>\nNow try to solve the problem by using the number line.<br \/>\nStart at 33. Count by twenties, then by 5s.<br \/>\n33 + 20 + 5 = 58<\/p>\n<p><strong>Reasoning<\/strong><\/p>\n<p>How can finding 33 + 25 help you find 533 + 25?<\/p>\n<p>Answer:<br \/>\nWe can find the sum of 533 and 25 with the help of the above problem.<br \/>\n33 + 25 = 58<br \/>\n533+ 25 = 538<br \/>\nJust add 5 on the left side to get the sum.<\/p>\n<p><strong>Think and Grow: Adding on a Number Line<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 245 + 38<br \/>\n<strong>One Way:<\/strong> Use the count on strategy. Start at 245. Count on by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11778\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-9.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 9\" width=\"386\" height=\"153\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-9.png 386w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-9-300x119.png 300w\" sizes=\"(max-width: 386px) 100vw, 386px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-16719\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-9-300x119.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-9\" width=\"300\" height=\"119\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-9-300x119.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-9.jpg 386w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Another Way:<\/strong> Use the make a ten strategy. Start at 245. Count on to the nearest ten. Then count on by tens and by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11779\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-10.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 10\" width=\"579\" height=\"231\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-10.png 579w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-10-300x120.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-16720\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-10-1-300x120.png\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-10\" width=\"300\" height=\"120\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-10-1-300x120.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-10-1.png 579w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nUse the count on strategy to find 368 + 24.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11780\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-11.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 11\" width=\"606\" height=\"78\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-11.png 606w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-11-300x39.png 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<p>Answer: 392<br \/>\nUse the count on strategy. Start at 368. Count on by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-16722\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-11-300x43.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-11\" width=\"300\" height=\"43\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-11-300x43.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-11.jpg 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n368 + 10 + 10 + 2 + 2 = 392<\/p>\n<p>Question 2.<br \/>\nUse the count on strategy to find 57 + 179.<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-11781 size-full\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-12.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 12\" width=\"618\" height=\"89\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-12.png 618w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-12-300x43.png 300w\" sizes=\"(max-width: 618px) 100vw, 618px\" \/><\/p>\n<p>Answer: 236<br \/>\nUse the count on strategy. Start at 57. Count on by hundreds, tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-16724\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-12-300x43.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-12\" width=\"300\" height=\"43\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-12-300x43.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-12.jpg 618w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Question 3.<br \/>\nUse the count on strategy to find 47 + 216.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11782\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-13.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 13\" width=\"615\" height=\"90\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-13.png 615w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-13-300x44.png 300w\" sizes=\"(max-width: 615px) 100vw, 615px\" \/><\/p>\n<p>Answer: 263<br \/>\nUse the count on strategy. Start at 47. Count on by hundreds, tens, then by ones.<br \/>\n47 + 100 + 100 + 10 + 6 = 263<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-16726\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-13-300x44.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-13\" width=\"300\" height=\"44\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-13-300x44.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-13.jpg 615w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 4.<br \/>\nUse the make a ten strategy to find 478 + 64.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11783\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-14.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 14\" width=\"622\" height=\"84\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-14.png 622w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-14-300x41.png 300w\" sizes=\"(max-width: 622px) 100vw, 622px\" \/><\/p>\n<p>Answer: 542<br \/>\nUse the count on strategy. Start at 478. Count on by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-16729\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-14-300x41.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-14\" width=\"300\" height=\"41\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-14-300x41.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-14.jpg 622w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Find the sum<\/p>\n<p>Question 5.<br \/>\n395 + 85 = ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11784\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-15.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 15\" width=\"301\" height=\"42\" \/><\/p>\n<p>Answer: 480<br \/>\nUse the count on strategy. Start at 395. Count on by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16732\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-15.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-15\" width=\"301\" height=\"98\" \/><\/p>\n<p>Question 6.<br \/>\n653 + 109 = ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11785\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-16.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 16\" width=\"299\" height=\"47\" \/><\/p>\n<p>Answer: 762<br \/>\nUse the count on strategy. Start at 353. Count on by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16735\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-15-1.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-15\" width=\"301\" height=\"76\" \/><\/p>\n<p>Question 7.<br \/>\nHumans have 24 rib bones and 182 other types of bones. How many bones do humans have in all?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11786\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-17.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 17\" width=\"140\" height=\"162\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nHumans have 24 rib bones and 182 other types of bones.<br \/>\n182 + 24 = 206<br \/>\nThus Humans have 206 bones.<\/p>\n<p>Question 8.<br \/>\n<strong>Structure<\/strong><br \/>\nWrite the equation shown by the number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11787\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-18.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 18\" width=\"301\" height=\"110\" \/><\/p>\n<p>Answer:<br \/>\n436 + 4 + 20 + 4<br \/>\n440 + 20 + 4 = 464<\/p>\n<p>Question 9.<br \/>\n<strong>Structure<\/strong><br \/>\nShow two different ways to find 225 + 39 using a number line.<\/p>\n<p>Answer:<br \/>\nUse the count on strategy. Start at 225. Count on by tens, then by ones.<br \/>\n225 + 30 + 9 = 264<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16737\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-15-2.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-15\" width=\"301\" height=\"98\" \/><\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-11788\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-19.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 19\" width=\"146\" height=\"335\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-19.png 146w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-19-131x300.png 131w\" sizes=\"(max-width: 146px) 100vw, 146px\" \/><br \/>\nThe Leaning Tower of Pisa has 294 steps. A visitor climbs 156 steps, takes a break, and then climbs 78 more steps. Does the visitor reach the top of the tower?<br \/>\n<strong>Addition equation:<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11642\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-20.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 20\" width=\"362\" height=\"49\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-20.png 362w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-20-300x41.png 300w\" sizes=\"(max-width: 362px) 100vw, 362px\" \/><br \/>\nThe visitor ___ reach the top of the tower.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16738\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-16.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-16\" width=\"301\" height=\"98\" \/><br \/>\n156 + 78 = 234<br \/>\n294 &#8211; 234 = 60<br \/>\nThus the visitor does not reach the top of the tower.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 10.<br \/>\nA book has 216 pages. You have already read 167 pages. You read 49 more pages. Do you finish reading the book?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA book has 216 pages. You have already read 167 pages. You read 49 more pages.<br \/>\n167 + 49 = 216 pages<br \/>\n216 &#8211; 216 = 0<br \/>\nThus you finish reading the book.<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11643\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-21.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 21\" width=\"167\" height=\"184\" \/><br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA puzzle has 350 pieces. You put 95 pieces together. Your friend puts 185 pieces together. Do you and your friend complete the puzzle? If not, how many pieces are left?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA puzzle has 350 pieces. You put 95 pieces together. Your friend puts 185 pieces together.<br \/>\n95 + 185 = 280 pages<br \/>\n350 &#8211; 280 = 70 pages<br \/>\nNo you and your friend do not complete the puzzle.<br \/>\n70 pieces are left to complete the puzzle.<\/p>\n<p>Question 12.<br \/>\nA music library has 483 songs. You listen to162 different songs one week and 171 more songs the next week. How many songs are left?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA music library has 483 songs.<br \/>\nYou listen to162 different songs one week and 171 more songs the next week.<br \/>\n162 + 171 = 333 songs<br \/>\n483 &#8211; 333 = 150 songs<br \/>\nThus 150 songs are left.<\/p>\n<h3><a id=\"Use_Number_Lines_to_Addition_Homework_&amp;_Practice_8.2\"><\/a>Use Number Lines to Addition Homework &amp; Practice 8.2<\/h3>\n<p>Question 1.<br \/>\nUse the count on strategy to find 402 + 39.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11644\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-22.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 22\" width=\"616\" height=\"89\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-22.png 616w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-22-300x43.png 300w\" sizes=\"(max-width: 616px) 100vw, 616px\" \/><\/p>\n<p>Answer:<br \/>\nUse the count on strategy. Start at 402. Count on by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-16744\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-22-300x43.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-22\" width=\"300\" height=\"43\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-22-300x43.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-22.jpg 616w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 2.<br \/>\nUse the make a ten strategy to find 81 + 647.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11645\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-23.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 23\" width=\"617\" height=\"89\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-23.png 617w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-23-300x43.png 300w\" sizes=\"(max-width: 617px) 100vw, 617px\" \/><\/p>\n<p>Answer:<br \/>\nUse the count on strategy. Start at 81. Count on by hundreds, tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-16745\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-23-300x43.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-23\" width=\"300\" height=\"43\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-23-300x43.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-23.jpg 617w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 3.<br \/>\nFind the sum.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11646\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-24.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 24\" width=\"305\" height=\"38\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-24.png 305w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-24-300x37.png 300w\" sizes=\"(max-width: 305px) 100vw, 305px\" \/><\/p>\n<p>Answer:<\/p>\n<p>Question 4.<br \/>\n718 + 226 = __<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11647\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-25.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 25\" width=\"291\" height=\"44\" \/><\/p>\n<p>Answer:<br \/>\nUse the count on strategy. Start at 718. Count on by hundreds, tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16748\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-25.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-25\" width=\"291\" height=\"75\" \/><br \/>\n718 + 226 = 944<\/p>\n<p>Question 5.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend uses a number line to find 435 + 27. Is your friend correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11648\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-26.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 26\" width=\"306\" height=\"145\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-26.png 306w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-26-300x142.png 300w\" sizes=\"(max-width: 306px) 100vw, 306px\" \/><\/p>\n<p>Answer:<br \/>\nYour friend uses a number line to find 435 + 27.<br \/>\n435 + 27 = 462<br \/>\nYour friend is not correct.<\/p>\n<p>Question 6.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says she can find 64 + 691 by starting at 691 on a number line because of the Associative Property of Addition. Is your friend correct? Explain.<\/p>\n<p>Answer:<br \/>\nYour friend says she can find 64 + 691 by starting at 691 on a number line because of the Associative Property of Addition.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16750\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-25-1.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-25\" width=\"291\" height=\"75\" \/><br \/>\nYes, your friend is correct.<\/p>\n<p>Question 7.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYour cousin needs to write a 400-word essay. She writes 318 words during class. She finishes her essay by writing 94 words at home. Does your cousin\u2019s essay have enough words?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11694\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-401.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 401\" width=\"325\" height=\"212\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-401.png 325w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-401-300x196.png 300w\" sizes=\"(max-width: 325px) 100vw, 325px\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYour cousin needs to write a 400-word essay.<br \/>\nShe writes 318 words during class. She finishes her essay by writing 94 words at home.<br \/>\n318 + 94 = 412<br \/>\n412 &#8211; 400 = 12<br \/>\nYes your cousin&#8217;s essay have enough words.<\/p>\n<p>Question 8.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThere are 275 apartments in an apartment building. There are 203 two-bedroom apartments rented, and 56 one-bedroom not apartments rented. How many apartments are rented?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nThere are 275 apartments in an apartment building.<br \/>\nThere are 203 two-bedroom apartments rented, and 56 one-bedroom not apartments rented.<br \/>\n203 + 56 = 259<br \/>\nThus 259 apartments are rented.<\/p>\n<p>Find the quotient<\/p>\n<p>Question 9.<br \/>\n18 \u00f7 6 = ___<\/p>\n<p>Answer: 3<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 18 and 6.<br \/>\n18\/6 = 3<br \/>\nThus the quotient is 3.<\/p>\n<p>Question 10.<br \/>\n32 \u00f7 8 = ___<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 32 and 8.<br \/>\n32\/4 = 4<br \/>\nThus the quotient is 4.<\/p>\n<p>Question 11.<br \/>\n72 \u00f7 9 = __<\/p>\n<p>Answer: 8<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 72 and 9.<br \/>\n72\/9 = 8<br \/>\nThus the quotient is 8.<\/p>\n<h3><a id=\"Lesson_8.3_Use_Mental_Math_to_Add\"><\/a>Lesson 8.3 Use Mental Math to Add<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>What addition problem is shown? How can you find the sum?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11649\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-27.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 27\" width=\"447\" height=\"203\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-27.png 447w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-27-300x136.png 300w\" sizes=\"(max-width: 447px) 100vw, 447px\" \/><\/p>\n<p>Answer: 366 + 504 = 870<\/p>\n<p>Explanation:<br \/>\nBy seeing the above figure we can find the sum.<br \/>\nFirst count the number of blocks<br \/>\nThere are 100 blocks in each figure<br \/>\nThere are three 100 blocks, six 10 blocks, and 6 blocks.<br \/>\n300 + 60 + 6 = 366<br \/>\nThere are five 100 blocks and 4 blocks.<br \/>\n500 + 4 = 504<br \/>\nNow add both<br \/>\n366 + 504 = 870<\/p>\n<p>Reasoning<br \/>\nShow how to find 402 + 248.<\/p>\n<p>Answer:<br \/>\nYou can find the sum of 402 and 248 by using the above arrays.<br \/>\nTake 10 \u00d7 10 block<br \/>\n402 &#8211; Four 10 \u00d7 10 blocks, 2 blocks<br \/>\n248 &#8211; Two 10 \u00d7 10 blocks, Four 10 blocks, and eight blocks<br \/>\n402 + 248 = 650<\/p>\n<p><strong>Think and Grow: Mental Math Strategies for Addition<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 247 + 328.<br \/>\nUse compensation to add.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11650\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-28.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 28\" width=\"260\" height=\"140\" \/><\/p>\n<p>Answer:<br \/>\nYou can find the sum of 247 and 328 by using mental math strategies.<br \/>\n247 + 3 = 250<br \/>\n328 &#8211; 3 = 325<br \/>\n250<br \/>\n<span style=\"text-decoration: underline;\">+325<\/span><br \/>\n575<br \/>\nThus the sum of 247 and 328 is 575.<\/p>\n<p><strong>Example<\/strong><br \/>\nFind 119 + 163.<br \/>\nMake a ten and count on to add.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11651\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-29.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 29\" width=\"321\" height=\"225\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-29.png 321w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-29-300x210.png 300w\" sizes=\"(max-width: 321px) 100vw, 321px\" \/><\/p>\n<p>Answer:<br \/>\n119 + 163 = 119 + (1 + 100 + 60 + 2)<br \/>\n(119 + 1) + 100 + 60 + 2<br \/>\n120 + 100 + 60 + 2<br \/>\n382<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nUse compensation to find 322 + 158.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11652\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-30.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 30\" width=\"599\" height=\"138\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-30.png 599w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-30-300x69.png 300w\" sizes=\"(max-width: 599px) 100vw, 599px\" \/><\/p>\n<p>Answer:<br \/>\n322 &#8211; 2 = 320<br \/>\n158 + 2 = 160<br \/>\n320<br \/>\n<span style=\"text-decoration: underline;\">+160<\/span><br \/>\n480<br \/>\nSo, 322 + 158 = 480<\/p>\n<p>Question 2.<br \/>\nMake a ten and count on to find 695 + 187.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11653\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 31\" width=\"316\" height=\"197\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31.png 316w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-31-300x187.png 300w\" sizes=\"(max-width: 316px) 100vw, 316px\" \/><\/p>\n<p>Answer:<br \/>\n695 + 187 = 695 + (5 + 100 + 80 + 2)<br \/>\n(695 + 5) + (100 + 80 + 2)<br \/>\n700 + 100 + 80 + 2<br \/>\n882<br \/>\nSo, 695 + 187 = 882<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Question 3.<br \/>\nUse compensation to find the sum.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11654\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-32.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 32\" width=\"310\" height=\"147\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-32.png 310w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-32-300x142.png 300w\" sizes=\"(max-width: 310px) 100vw, 310px\" \/><\/p>\n<p>Answer:<br \/>\n604 &#8211; 4 = 600<br \/>\n275 + 4\u00a0 = 279<br \/>\n600<br \/>\n<span style=\"text-decoration: underline;\">+279<\/span><br \/>\n879<\/p>\n<p>Question 4.<br \/>\nMake a ten and count on to find the sum.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11655\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-33.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 33\" width=\"287\" height=\"197\" \/><\/p>\n<p>Answer:<br \/>\n359 + 1 = 360<br \/>\n360 + 300 = 660<br \/>\n660 + 17 = 677<br \/>\nSo, 359 + 318 = 677<\/p>\n<p>Use mental math to find the sum.<\/p>\n<p>Question 5.<br \/>\n436 + 248 = __<\/p>\n<p>Answer:<br \/>\n436 + 248 = 436 + (8 + 40 + 200)<br \/>\n436 + (4 + 4 + 40 + 200)<br \/>\n(436 + 4) + 4 + 40 + 200<br \/>\n440 + 244<br \/>\n684<br \/>\nSo, 436 + 248 = 684<\/p>\n<p>Question 6.<br \/>\n795 + 102 = ___<\/p>\n<p>Answer:<br \/>\n102 &#8211; 2 = 100<br \/>\n795 + 2 = 797<br \/>\n797<br \/>\n<span style=\"text-decoration: underline;\">+100<\/span><br \/>\n897<br \/>\nSo, 795 + 102 = 897<\/p>\n<p>Question 7.<br \/>\n503 + 71 = ___<\/p>\n<p>Answer:<br \/>\n503 &#8211; 3 = 500<br \/>\n71 + 3 = 74<br \/>\n500<br \/>\n<span style=\"text-decoration: underline;\">+74<\/span><br \/>\n574<br \/>\nSo, 503 + 71 = 574<\/p>\n<p>Question 8.<br \/>\n589 + 407 = ___<\/p>\n<p>Answer:<br \/>\n589 + 1 = 590<br \/>\n407 &#8211; 1 = 406<br \/>\n590<br \/>\n<span style=\"text-decoration: underline;\">+406<\/span><br \/>\n996<\/p>\n<p>Question 9.<br \/>\n734 + 97 = ___<\/p>\n<p>Answer:<br \/>\n734 &#8211; 3 = 731<br \/>\n97 + 3 = 100<br \/>\n731<br \/>\n<span style=\"text-decoration: underline;\">+100<\/span><br \/>\n831<\/p>\n<p>Question 10.<br \/>\n352 + 164 = ___<\/p>\n<p>Answer:<br \/>\n352 &#8211; 2 = 350<br \/>\n164 + 2 = 166<br \/>\n350<br \/>\n<span style=\"text-decoration: underline;\">+166<\/span><br \/>\n516<\/p>\n<p>Question 11.<br \/>\n297 + 211 = ___<\/p>\n<p>Answer:<br \/>\n297 + 3 = 300<br \/>\n211 &#8211; 3 = 208<br \/>\n300<br \/>\n<span style=\"text-decoration: underline;\">+208<\/span><br \/>\n508<\/p>\n<p>Question 12.<br \/>\n426 + 364 = ___<\/p>\n<p>Answer:<br \/>\n426 + 4 = 430<br \/>\n364 &#8211; 4 = 360<br \/>\n430<br \/>\n<span style=\"text-decoration: underline;\">+360<\/span><br \/>\n790<\/p>\n<p>Question 13.<br \/>\n159 + 104 = ___<\/p>\n<p>Answer:<br \/>\n159 + 1 = 160<br \/>\n104 &#8211; 1 = 103<br \/>\n160<br \/>\n<span style=\"text-decoration: underline;\">+103<\/span><br \/>\n263<\/p>\n<p>Question 14.<br \/>\nA community shelter collects 101 shirts and 109 pairs of pants from a clothing drive. How many clothing items does the community shelter collect?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA community shelter collects 101 shirts and 109 pairs of pants from a clothing drive.<br \/>\n101 &#8211; 1 = 100<br \/>\n109 + 1 = 110<br \/>\n100<br \/>\n<span style=\"text-decoration: underline;\">+110<\/span><br \/>\n210<br \/>\nThus the community shelter collect 210 clothing items.<\/p>\n<p>Question 15.<br \/>\n<strong>Number Sense<\/strong><br \/>\nDescartes wants to use compensation to find 238 + 127. Which numbers could he use?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11656\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-34.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 34\" width=\"411\" height=\"36\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-34.png 411w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-34-300x26.png 300w\" sizes=\"(max-width: 411px) 100vw, 411px\" \/><\/p>\n<p>Answer:<br \/>\nDescartes wants to use compensation to find 238 + 127.<br \/>\nThe number near 238 is 240, 127 is 130.<br \/>\nThus he could use 240 and 130<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>A company manager has $900. Does he have enough money to buy the laptop and the cell phone?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11657\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-35.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 35\" width=\"307\" height=\"194\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-35.png 307w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-35-300x190.png 300w\" sizes=\"(max-width: 307px) 100vw, 307px\" \/><br \/>\n<strong>Addition equation:<\/strong><br \/>\n<strong>Compare:<\/strong><br \/>\nThe manager ___ have enough money.<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA company manager has $900.<br \/>\nThe cost of the laptop is $595<br \/>\nThe cost of the mobile is $249.<br \/>\n595 + 5 = 600<br \/>\n249 &#8211; 5 = 244<br \/>\n600<br \/>\n<span style=\"text-decoration: underline;\">+244<\/span><br \/>\n844<br \/>\n900 &#8211; 844 = 56<br \/>\nThus the manager does not have enough money.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 16.<br \/>\nA USB drive holds 600 photos. You have 279 photos on a digital camera and 337 photos on a cell phone. Can the USB drive hold all of your photos?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA USB drive holds 600 photos. You have 279 photos on a digital camera and 337 photos on a cell phone.<br \/>\n279 + 1 = 280<br \/>\n337 &#8211; 1 = 336<br \/>\n280<br \/>\n<span style=\"text-decoration: underline;\">+336<\/span><br \/>\n616<br \/>\nYes the USB drive can hold all of your photos<\/p>\n<p>Question 17.<br \/>\nA school board president has $1,000. Which two items can she buy?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11658\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-36.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 36\" width=\"620\" height=\"172\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-36.png 620w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-36-300x83.png 300w\" sizes=\"(max-width: 620px) 100vw, 620px\" \/><\/p>\n<p><strong>DIG DEEPER!<\/strong><br \/>\nThe president buys the two items. How much money does she have left?<\/p>\n<p>Answer:<br \/>\nA school board president has $1,000.<br \/>\nThe cost of a swing set is $648<br \/>\nThe cost of the seesaw is $372<br \/>\nThe cost of a Dome Climber is $498<br \/>\n498<br \/>\n<span style=\"text-decoration: underline;\">+372<\/span><br \/>\n870<br \/>\n1000 &#8211; 870 = 130<br \/>\nThus she has left $130.<\/p>\n<h3><a id=\"Use_Mental_Math_to_Add_Homework_&amp;_Practice_8.3\"><\/a>Use Mental Math to Add Homework &amp; Practice 8.3<\/h3>\n<p>Use compensation to find the sum.<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11659\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-37.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 37\" width=\"292\" height=\"145\" \/><\/p>\n<p>Answer:<br \/>\n248 + 2 = 250<br \/>\n137 &#8211; 2 = 135<br \/>\n250<br \/>\n<span style=\"text-decoration: underline;\">+135<\/span><br \/>\n385<br \/>\nSo, 248 + 137 = 385<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11660\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-38.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 38\" width=\"276\" height=\"146\" \/><\/p>\n<p>Answer:<br \/>\n401 &#8211; 1 = 400<br \/>\n165 + 1 = 166<br \/>\n400<br \/>\n<span style=\"text-decoration: underline;\">+166<\/span><br \/>\n566<\/p>\n<p>Make a ten and count on to find the sum<\/p>\n<p>Question 3.<br \/>\n506 + 369 = ?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11661\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-39.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 39\" width=\"328\" height=\"229\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-39.png 328w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-39-300x209.png 300w\" sizes=\"(max-width: 328px) 100vw, 328px\" \/><\/p>\n<p>Answer:<br \/>\n506 + 369 = 506 + (4 + 300 + 60 + 5)<br \/>\n(506 + 4) + 300 + 60 + 5<br \/>\n510 + 365<br \/>\n875<br \/>\nSo, 506 + 369 = 875<\/p>\n<p>Question 4.<br \/>\n617 + 348 = ?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11662\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-40.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 40\" width=\"313\" height=\"225\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-40.png 313w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-40-300x216.png 300w\" sizes=\"(max-width: 313px) 100vw, 313px\" \/><\/p>\n<p>Answer:<br \/>\n617 + 348 = 617 + (3 + 300 + 40 + 5)<br \/>\n(617 + 3) + 300 + 40 + 5<br \/>\n620 + 345<br \/>\n965<br \/>\n617 + 348 = 965<\/p>\n<p>Use mental math to find the sum.<\/p>\n<p>Question 5.<br \/>\n478 + 219 = ___<\/p>\n<p>Answer:<br \/>\n478 + 2 = 480<br \/>\n219 &#8211; 2 = 217<br \/>\n480<br \/>\n<span style=\"text-decoration: underline;\">+217<\/span><br \/>\n697<\/p>\n<p>Question 6.<br \/>\n503 + 64 = ___<\/p>\n<p>Answer:<br \/>\n503 &#8211; 3 = 500<br \/>\n64 + 3 = 67<br \/>\n500<br \/>\n<span style=\"text-decoration: underline;\">+67<\/span><br \/>\n567<\/p>\n<p>Question 7.<br \/>\n288 + 242 = ___<\/p>\n<p>Answer:<br \/>\n288 + 2 = 290<br \/>\n242 &#8211; 2 = 240<br \/>\n290<br \/>\n<span style=\"text-decoration: underline;\">+240<\/span><br \/>\n530<\/p>\n<p>Question 8.<br \/>\nStructure<br \/>\nExplain how to make a ten to find the sum.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11663\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-41.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 41\" width=\"90\" height=\"79\" \/><\/p>\n<p>Answer:<br \/>\n738 + 126 = 738 + (6 + 20 + 100)<br \/>\n(738 + 2) + 4 + 20 + 100<br \/>\n740 + 124<br \/>\n864<\/p>\n<p>Question 9.<br \/>\n<strong>Writing<\/strong><br \/>\nHow is compensation make a ten similar to the strategy? How is it different?<\/p>\n<p>Answer:<br \/>\nCompensation is a mental math strategy for multi-digit addition that involves adjusting one of the addends to make the equation easier to solve. The methods are different but the solutions are the same.<\/p>\n<p>Question 10.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA binder holds 250 sheets of paper. You have 107 science papers and 142 math papers. Can the binder hold all of your papers?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA binder holds 250 sheets of paper. You have 107 science papers and 142 math papers.<br \/>\n107 &#8211; 2 = 105<br \/>\n142 + 2 = 144<br \/>\n105 + 144 = 249<br \/>\nYes, the binder can hold all of your papers.<\/p>\n<p>Question 11.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA school nurse has $450. Which two items can she buy?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11664\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-42.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 42\" width=\"608\" height=\"221\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-42.png 608w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-42-300x109.png 300w\" sizes=\"(max-width: 608px) 100vw, 608px\" \/><\/p>\n<p><strong>DIG DEEPER!<\/strong><br \/>\nThe school nurse buys the two items. How much money does she have left?<\/p>\n<p>Answer:<br \/>\nA school nurse has $450.<br \/>\nThe cost of a Stethoscope = $119<br \/>\nThe cost of thermometer = $ 308<br \/>\n119 + 1 = 120<br \/>\n308 &#8211; 1 = 307<br \/>\n120<br \/>\n<span style=\"text-decoration: underline;\">+307<\/span><br \/>\n427<br \/>\n450 &#8211; 427 = 23<br \/>\nShe has left $23<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 12.<br \/>\nIt costs $1 to get into each football game. Newton buys a chicken wrap for $2 and a drink for $1 each game. How much money does Newton spend in 4 games?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nIt costs $1 to get into each football game. Newton buys a chicken wrap for $2 and a drink for $1 each game.<br \/>\n1 + 2 + 1 = 4<br \/>\n4 \u00d7 $4 = $8<br \/>\nThus Newton spent $8 for 4 games.<\/p>\n<h3><a id=\"Lesson_8.4_Use_Partial_Sums_to_Add\"><\/a>Lesson 8.4 Use Partial Sums to Add<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Model each number. Draw to show each model.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11665\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-43.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 43\" width=\"569\" height=\"295\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-43.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-43-300x156.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><br \/>\nHow can you use the models to find 341 + 227?<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17074\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-43-300x156.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-43\" width=\"300\" height=\"156\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-43-300x156.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-43.jpg 569w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nYou can find the sum of 341 and 227 is<\/p>\n<p>300 + 40 + 1<br \/>\n<span style=\"text-decoration: underline;\">200 + 20 + 7<\/span><br \/>\n500 + 60 + 8 = 568<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nHow can breaking apart addends help you add three-digit numbers?<\/p>\n<p>Answer: Breaking apart addends helps you add three-digit numbers easily. Mind math is possible with this breaking apart addends.<\/p>\n<p><strong>Think and Grow: Use Partials Sums to Add<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 356 + 408.<br \/>\n<strong>Step 1:<\/strong> Write each number in expanded form.<br \/>\n<strong>Step 2:<\/strong> Find the partial sums.<br \/>\n<strong>Step 3:<\/strong> Add the partial sums.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11666\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-44.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 44\" width=\"342\" height=\"160\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-44.png 342w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-44-300x140.png 300w\" sizes=\"(max-width: 342px) 100vw, 342px\" \/><\/p>\n<p>Answer: 764<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Use partial sums to add.<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11667\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-45.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 45\" width=\"590\" height=\"118\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-45.png 590w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-45-300x60.png 300w\" sizes=\"(max-width: 590px) 100vw, 590px\" \/><\/p>\n<p>Answer:<br \/>\n319 = 300 + 10 + 9<br \/>\n<span style=\"text-decoration: underline;\">234 = 200 + 30 + 4<\/span><br \/>\n553 = 500 + 40 + 13<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11668\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-46.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 46\" width=\"596\" height=\"120\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-46.png 596w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-46-300x60.png 300w\" sizes=\"(max-width: 596px) 100vw, 596px\" \/><\/p>\n<p>Answer:<br \/>\n568 = 500 + 60 + 8<br \/>\n<span style=\"text-decoration: underline;\">173 = 100 + 70 + 3<\/span><br \/>\n741 = 600 + 130 + 11<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11669\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-47.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 47\" width=\"77\" height=\"57\" \/><\/p>\n<p>Answer:<br \/>\n424 = 400 + 20 + 4<br \/>\n<span style=\"text-decoration: underline;\">450 = 400 + 50 + 0<\/span><br \/>\n874 = 800 + 70 + 4<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11670\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-48.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 48\" width=\"65\" height=\"63\" \/><\/p>\n<p>Answer:<br \/>\n281 = 200 + 80 + 1<br \/>\n<span style=\"text-decoration: underline;\">365 = 300 + 60 + 5<\/span><br \/>\n646 = 500 + 140 + 6<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11671\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-49.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 49\" width=\"67\" height=\"57\" \/><\/p>\n<p>Answer:<br \/>\n127 = 100 + 20 + 7<br \/>\n<span style=\"text-decoration: underline;\">609 = 600 + 0 + 9<\/span><br \/>\n736 = 700 + 20 + 16<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11672\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-50.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 50\" width=\"69\" height=\"63\" \/><\/p>\n<p>Answer:<br \/>\n276 = 200 + 70 + 6<br \/>\n<span style=\"text-decoration: underline;\">39 =\u00a0 000 + 30 + 9<\/span><br \/>\n315 = 200 + 100 + 15<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11673\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-51.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 51\" width=\"72\" height=\"61\" \/><\/p>\n<p>Answer:<br \/>\n759 = 700 + 50 + 9<br \/>\n<span style=\"text-decoration: underline;\">202 = 200 + 00 + 2<\/span><br \/>\n961 = 900 + 50 + 11<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11674\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-52.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 52\" width=\"82\" height=\"76\" \/><\/p>\n<p>Answer:<br \/>\n864 = 800 + 60 + 4<br \/>\n<span style=\"text-decoration: underline;\">131 = 100 + 30 + 1<\/span><br \/>\n995 = 900 + 90 + 5<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11675\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-53.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 53\" width=\"71\" height=\"54\" \/><\/p>\n<p>Answer:<br \/>\n387 = 300 + 80 + 7<br \/>\n<span style=\"text-decoration: underline;\">94 = 000 + 90 + 4<\/span><br \/>\n481 = 300 + 170 + 11<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11676\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-54.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 54\" width=\"74\" height=\"62\" \/><\/p>\n<p>Answer:<br \/>\n560 = 500 + 60 + 0<br \/>\n<span style=\"text-decoration: underline;\">273 = 200 + 70 + 3<\/span><br \/>\n833 = 700 + 130 + 3<\/p>\n<p>Question 11.<br \/>\n498 + 375 = ___<\/p>\n<p>Answer:<br \/>\n498 = 400 + 90 + 8<br \/>\n<span style=\"text-decoration: underline;\">375 = 300 + 70 + 5<\/span><br \/>\n873 = 700 + 160 + 13<\/p>\n<p>Question 12.<br \/>\n209 + 158 = ___<\/p>\n<p>Answer:<br \/>\n209 = 200 + 00 + 9<br \/>\n<span style=\"text-decoration: underline;\">158 = 100 + 50 + 8<\/span><br \/>\n367 = 300 + 50 + 17<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>A giant panda weighs 696 pounds less than a polar bear. How much does the polar bear weigh?<br \/>\nAddition equation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11677\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-55.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 55\" width=\"348\" height=\"239\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-55.png 348w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-55-300x206.png 300w\" sizes=\"(max-width: 348px) 100vw, 348px\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA giant panda weighs 696 pounds less than a polar bear.<br \/>\n696 &#8211; 263 = 433<br \/>\nThus the polar bear weighs 433 pounds.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-11678\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-56.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 56\" width=\"258\" height=\"162\" \/><br \/>\nQuestion 15.<br \/>\nA herd of wildebeests has 258 fewer members than a herd of zebras has. There are 335 wildebeests in the herd. How many zebras are in their herd?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA herd of wildebeests has 258 fewer members than a herd of zebras has. There are 335 wildebeests in the herd.<br \/>\n335 &#8211; 258 = 77<br \/>\nTherefore there are 77 zebras in their herd.<\/p>\n<p>Question 16.<br \/>\nThere are three candidates in an election. Candidate A receives 184 fewer votes than Candidate B. Who wins the election?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11679\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-57.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 57\" width=\"280\" height=\"148\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nThere are three candidates in an election. Candidate A receives 184 fewer votes than Candidate B.<br \/>\nNumber of votes candidate A receives = 347<br \/>\n347 + 184 = 631<br \/>\nThus Candidate B wins the election.<\/p>\n<p>Question 17.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou, your friend, and your cousin play a video game. Your friend scores 161 fewer points than you. Your cousin scores 213 more points than your friend. What is each player\u2019s score? Who wins?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11680\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-58.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 58\" width=\"157\" height=\"141\" \/><\/p>\n<p>Answer:<br \/>\nYour friend score is 579<br \/>\nYour friend scores 161 fewer points than you.<br \/>\n579 + 161 = 740<br \/>\nYour score is 740<br \/>\nYour cousin scores 213 more points than your friend.<br \/>\n213 + 579 = 592<br \/>\nYour cousin&#8217;s score is the highest among all three.<br \/>\nSo, your cousin wins the game.<\/p>\n<h3><a id=\"Use_Partial_Sums_to_Add_Homework_&amp;_Practice_8.4\"><\/a>Use Partial Sums to Add Homework &amp; Practice 8.4<\/h3>\n<p>Use partials sums to add<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11729\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-59.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 59\" width=\"645\" height=\"119\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-59.png 645w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-59-300x55.png 300w\" sizes=\"(max-width: 645px) 100vw, 645px\" \/><\/p>\n<p>Answer:<br \/>\nWe can find the sum by using the partial sum model.<br \/>\n479 = 400 + 70 + 9<br \/>\n<span style=\"text-decoration: underline;\">356 = 300 + 50 + 6<\/span><br \/>\n835 = 700 + 120 + 15<br \/>\nSo, 479 + 356 = 835<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11730\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-60.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 60\" width=\"67\" height=\"61\" \/><\/p>\n<p>Answer:<br \/>\nWe can find the sum by using the partial sum model.<br \/>\n674 = 600 + 70 + 4<br \/>\n<span style=\"text-decoration: underline;\">321 = 300 + 20 + 1<\/span><br \/>\n995 = 900 + 90 + 5<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11731\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-61.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 61\" width=\"70\" height=\"68\" \/><\/p>\n<p>Answer:<br \/>\nWe can find the sum by using the partial sum model.<br \/>\n396 = 300 + 90 + 6<br \/>\n<span style=\"text-decoration: underline;\">278 = 200 + 70 + 8<\/span><br \/>\n674 = 500 + 160 + 14<\/p>\n<p>Question 4.<br \/>\n564 + 218 = ___<\/p>\n<p>Answer:<br \/>\nWe can find the sum by using the partial sum model.<br \/>\n564 = 500 + 60 + 4<br \/>\n<span style=\"text-decoration: underline;\">218 = 200 + 10 + 8<\/span><br \/>\n782 = 700 + 70 + 12<\/p>\n<p>Question 5.<br \/>\n190 + 123 = ___<\/p>\n<p>Answer:<br \/>\nWe can find the sum by using the partial sum model.<br \/>\n190 = 100 + 90 + 0<br \/>\n<span style=\"text-decoration: underline;\">123 = 100 + 20 + 3\u00a0<\/span><br \/>\n313 = 200 + 110 + 3<\/p>\n<p>Question 6.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend uses partial sums to find 205 + 124. Is your friend correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11732\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-62.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 62\" width=\"258\" height=\"93\" \/><\/p>\n<p>Answer: Your friend is incorrect.<br \/>\n205 = 200 + 00 + 5<br \/>\n<span style=\"text-decoration: underline;\">124 = 100 + 20 + 4<\/span><br \/>\n329 = 300 + 20 + 9<br \/>\nThe sum of 205 + 124 = 329<\/p>\n<p>Question 7.<br \/>\nPatterns<br \/>\nWrite and solve the next problem in the pattern.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11733\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-63.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 63\" width=\"455\" height=\"104\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-63.png 455w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-63-300x69.png 300w\" sizes=\"(max-width: 455px) 100vw, 455px\" \/><\/p>\n<p>Answer:<br \/>\nThe addend is increased by 100.<br \/>\nSo, the next pattern is<br \/>\n516<br \/>\n<span style=\"text-decoration: underline;\">+178<\/span><br \/>\n694<\/p>\n<p>Question 8.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThere are worker bees and drone bees in a beehive. A hive has 268 fewer drones than workers. There are 351 drone bees. How many worker bees are there?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11734\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-64.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 64\" width=\"217\" height=\"160\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nThere are worker bees and drone bees in a beehive. A hive has 268 fewer drones than workers. There are 351 drone bees.<br \/>\n351<br \/>\n<span style=\"text-decoration: underline;\">-268<\/span><br \/>\n83<br \/>\nTherefore there are 83 worker bees.<\/p>\n<p>Question 9.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThree athletes compete in Olympic weight lifting. Weight lifter A lifts 104 fewer pounds than Weight lifter B. Who lifts the most weight?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11735\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-65.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 65\" width=\"266\" height=\"169\" \/><\/p>\n<p>Answer:<br \/>\nThree athletes compete in Olympic weight lifting. Weight lifter A lifts 104 fewer pounds than Weight lifter B.<br \/>\nWeight lifter A lifts 368 pounds<br \/>\n368 + 104 = 472<br \/>\nTherefore, Weight Lifter B lifts the most weight.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Circle the value of the underlined digit.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11736\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-66.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 66\" width=\"474\" height=\"34\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-66.png 474w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-66-300x22.png 300w\" sizes=\"(max-width: 474px) 100vw, 474px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17081\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-66-300x22.jpg\" alt=\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-66\" width=\"300\" height=\"22\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-66-300x22.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-66.jpg 474w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nIn the given value 2 is in the ones place so the answer is 2.<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11737\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-67.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 67\" width=\"483\" height=\"28\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-67.png 483w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-67-300x17.png 300w\" sizes=\"(max-width: 483px) 100vw, 483px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17082\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-67-300x17.jpg\" alt=\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-67\" width=\"300\" height=\"17\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-67-300x17.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-67.jpg 483w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nIn the given value 4 is in the hundreds place so the answer is 400.<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11738\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-68.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 68\" width=\"470\" height=\"33\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-68.png 470w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-68-300x21.png 300w\" sizes=\"(max-width: 470px) 100vw, 470px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17083\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-68-300x21.jpg\" alt=\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-68\" width=\"300\" height=\"21\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-68-300x21.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-68.jpg 470w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nIn the given value 0 is in tens place so the answer is 0.<\/p>\n<h3><a id=\"Lesson_8.5_Add_Three_Digit_Numbers\"><\/a>Lesson 8.5 Add Three-Digit Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Model the equation. Draw your model. Then find the sum.<br \/>\n195 + 308 = ___<\/p>\n<p>Answer:<br \/>\n195 = 100 + 90 + 5<br \/>\n<span style=\"text-decoration: underline;\">308 = 300 + 00 + 8<\/span><br \/>\n503 = 400 + 90 + 13<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nHow can you use an estimate to check whether your answer reasonable?<\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n195 = 200<br \/>\n308 = 300<br \/>\n200<br \/>\n<span style=\"text-decoration: underline;\">+300<\/span><br \/>\n500<br \/>\nThs sum is about 500.<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n195<br \/>\n<span style=\"text-decoration: underline;\">+308<\/span><br \/>\n503<br \/>\n503 is close to 500. So, the answer is reasonable.<\/p>\n<p><strong>Think and Grow: Add Three-Digit Numbers<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 236 + 378. Check whether your answer is reasonable.<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11739\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-69.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 69\" width=\"627\" height=\"360\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-69.png 627w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-69-300x172.png 300w\" sizes=\"(max-width: 627px) 100vw, 627px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Find the sum. Check whether your answer is reasonable.<\/p>\n<p>Question 11.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11740\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-70.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 70\" width=\"73\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n457 &#8211; 500<br \/>\n133 &#8211; 100<br \/>\n500<br \/>\n<span style=\"text-decoration: underline;\">+100<\/span><br \/>\n600<br \/>\nThe sum is about 600.<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n457<br \/>\n<span style=\"text-decoration: underline;\">+133\u00a0<\/span><br \/>\n590<br \/>\n590 is close to 600. So, the answer is reasonable.<\/p>\n<p>Question 2.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11741\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-71.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 71\" width=\"80\" height=\"59\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n269 &#8211; 300<br \/>\n354 &#8211; 300<br \/>\n300<br \/>\n<span style=\"text-decoration: underline;\">+300<\/span><br \/>\n300<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n269<br \/>\n<span style=\"text-decoration: underline;\">+354<\/span><br \/>\n623<br \/>\n623 is close to 600. So, the answer is reasonable.<\/p>\n<p>Question 3.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11742\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-72.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 72\" width=\"71\" height=\"58\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n560 &#8211; 600<br \/>\n274 &#8211; 300<br \/>\n600<br \/>\n<span style=\"text-decoration: underline;\">+300<\/span><br \/>\n900<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n560<br \/>\n<span style=\"text-decoration: underline;\">+274\u00a0<\/span><br \/>\n834<br \/>\n834 is close to 900. So, the answer is reasonable.<\/p>\n<p>Question 4.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11743\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-73.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 73\" width=\"75\" height=\"62\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n345 &#8211; 300<br \/>\n286 &#8211; 300<br \/>\n300<br \/>\n<span style=\"text-decoration: underline;\">+300<\/span><br \/>\n600<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n345<br \/>\n<span style=\"text-decoration: underline;\">+286<\/span><br \/>\n631<br \/>\n631 is close to 600. So, the answer is reasonable.<\/p>\n<p>Question 5.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11744\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-74.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 74\" width=\"69\" height=\"55\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n129 &#8211; 100<br \/>\n668 &#8211; 700<br \/>\n100<br \/>\n<span style=\"text-decoration: underline;\">+700<\/span><br \/>\n800<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n129<br \/>\n<span style=\"text-decoration: underline;\">+668<\/span><br \/>\n797<br \/>\n797 is close to 800. So, the answer is reasonable.<\/p>\n<p>Question 6.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11745\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-75.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 75\" width=\"65\" height=\"59\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n383 &#8211; 400<br \/>\n539 &#8211; 500<br \/>\n400<br \/>\n<span style=\"text-decoration: underline;\">+500<\/span><br \/>\n900<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n383<br \/>\n<span style=\"text-decoration: underline;\">+539<\/span><br \/>\n922<br \/>\n922 is close to 900. So, the answer is reasonable.<\/p>\n<p><strong>Apply and Grow: practice<\/strong><\/p>\n<p>Find the sum. Check whether your answer is reasonable.<\/p>\n<p>Question 7.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11746\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-76.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 76\" width=\"76\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n803 &#8211; 800<br \/>\n179 &#8211; 200<br \/>\n800<br \/>\n<span style=\"text-decoration: underline;\">+200<\/span><br \/>\n1000<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n803<br \/>\n<span style=\"text-decoration: underline;\">+179 <\/span><br \/>\n982<br \/>\n982 is close to 1000. So, the answer is reasonable.<\/p>\n<p>Question 8.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11747\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-77.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 77\" width=\"69\" height=\"70\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n608 &#8211; 600<br \/>\n239 &#8211; 200<br \/>\n600<br \/>\n<span style=\"text-decoration: underline;\">+200<\/span><br \/>\n800<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n608<br \/>\n<span style=\"text-decoration: underline;\">+239<\/span><br \/>\n847<br \/>\n847 is close to 800. So, the answer is reasonable.<\/p>\n<p>Question 9.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11748\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-78.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 78\" width=\"74\" height=\"66\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n427 &#8211; 400<br \/>\n385 &#8211; 400<br \/>\n400<br \/>\n<span style=\"text-decoration: underline;\">+400<\/span><br \/>\n800<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n427<br \/>\n<span style=\"text-decoration: underline;\">+385 <\/span><br \/>\n812<br \/>\n812 is close to 800. So, the answer is reasonable.<\/p>\n<p>Question 10.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11749\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-79.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 79\" width=\"70\" height=\"61\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n401 &#8211; 400<br \/>\n109 &#8211; 100<br \/>\n400<br \/>\n<span style=\"text-decoration: underline;\">+100<\/span><br \/>\n500<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n401<br \/>\n<span style=\"text-decoration: underline;\">+109<\/span><br \/>\n510<br \/>\n510 is close to 500. So, the answer is reasonable.<\/p>\n<p>Question 11.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11750\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-80.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 80\" width=\"82\" height=\"63\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n265 &#8211; 300<br \/>\n157 &#8211; 100<br \/>\n300<br \/>\n<span style=\"text-decoration: underline;\">+100<\/span><br \/>\n400<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n265<br \/>\n<span style=\"text-decoration: underline;\">+157<\/span><br \/>\n422<br \/>\n422 is close to 400. So, the answer is reasonable.<\/p>\n<p>Question 12.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11751\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-81.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 81\" width=\"79\" height=\"63\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n375 &#8211; 400<br \/>\n64 &#8211; 100<br \/>\n400<br \/>\n<span style=\"text-decoration: underline;\">+100<\/span><br \/>\n500<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n375<br \/>\n<span style=\"text-decoration: underline;\">+64<\/span><br \/>\n439<br \/>\n439 is close to 500. So, the answer is reasonable.<\/p>\n<p>Question 13.<br \/>\nEstimate: ___<br \/>\n469 + 284 = ___<\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n469 &#8211; 500<br \/>\n284 &#8211; 300<br \/>\n500<br \/>\n<span style=\"text-decoration: underline;\">+300<\/span><br \/>\n800<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n469<br \/>\n<span style=\"text-decoration: underline;\">+284\u00a0<\/span><br \/>\n753<br \/>\n753 is close to 800. So, the answer is reasonable.<\/p>\n<p>Question 14.<br \/>\nEstimate: ___<br \/>\n580 + 246 = __<\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n580 &#8211; 600<br \/>\n246 &#8211; 200<br \/>\n600<br \/>\n<span style=\"text-decoration: underline;\">+200<\/span><br \/>\n800<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n580<br \/>\n<span style=\"text-decoration: underline;\">+246<\/span><br \/>\n826<br \/>\n826 is close to 800. So, the answer is reasonable.<\/p>\n<p>Question 15.<br \/>\nEstimate: ___<br \/>\n796 + 135 = ___<\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest hundred.<br \/>\n796 &#8211; 800<br \/>\n135 &#8211; 100<br \/>\n800<br \/>\n<span style=\"text-decoration: underline;\">+100<\/span><br \/>\n900<br \/>\n<strong>Step 2:<\/strong> Find the sum. Add the ones, tens, then the hundreds.<br \/>\n796<br \/>\n<span style=\"text-decoration: underline;\">+135<\/span><br \/>\n931<br \/>\n931 is close to 900. So, the answer is reasonable.<\/p>\n<p>Question 16.<br \/>\nA truck driver travels 428 miles on Monday. He travels 473 miles on Tuesday. How many miles does he travel in all on Monday and Tuesday?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA truck driver travels 428 miles on Monday. He travels 473 miles on Tuesday.<br \/>\n428<br \/>\n<span style=\"text-decoration: underline;\">+473<\/span><br \/>\n901<br \/>\nThus he travels 901 miles on Monday and Tuesday.<\/p>\n<p>Question 17.<br \/>\n<strong>Reasoning<\/strong><br \/>\nYour friend finds a sum. Is her answer reasonable? If not, describe her mistake.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11752\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-85.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 85\" width=\"71\" height=\"94\" \/><\/p>\n<p>Answer:<br \/>\n119<br \/>\n<span style=\"text-decoration: underline;\">+ 187<\/span><br \/>\n306<br \/>\nYour answer is not reasonable.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>A construction team builds an 825-meter-long boardwalk on a beach. The team builds 408 meters one week and 377 meters the next week. Is the boardwalk complete?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11753\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-86.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 86\" width=\"392\" height=\"244\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-86.png 392w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-86-300x187.png 300w\" sizes=\"(max-width: 392px) 100vw, 392px\" \/><br \/>\n<strong>Addition equation:<\/strong><br \/>\nThe boardwalk ___ complete.<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA construction team builds an 825-meter-long boardwalk on a beach. The team builds 408 meters one week and 377 meters the next week.<br \/>\n408<br \/>\n<span style=\"text-decoration: underline;\">+377<\/span><br \/>\n785<br \/>\nThe boardwalk did not complete.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 18.<br \/>\nA road crew repaves the road on a 547-meter-long bridge. The crew repaves 318 meters the \ufb01rst day and 229 meters the second day. Is the road on the bridge completely repaved?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA road crew repaves the road on a 547-meter-long bridge.<br \/>\nThe crew repaves 318 meters on the \ufb01rst day and 229 meters on the second day.<br \/>\n318<br \/>\n<span style=\"text-decoration: underline;\">+229<\/span><br \/>\n547<br \/>\nYes, the road on the bridge completely repaved.<\/p>\n<p>Question 19.<br \/>\nA family drives from St. Louis to Orlando for a vacation. The family drives 363 miles the first day and 386 miles the second day. How many miles does the family have left to drive?<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-11754\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-87.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 87\" width=\"167\" height=\"180\" \/><br \/>\nAnswer:<br \/>\nGiven,<br \/>\nA family drives from St. Louis to Orlando for a vacation. The family drives 363 miles the first day and 386 miles the second day.<br \/>\n363 + 386 = 749 miles<br \/>\n922 miles &#8211; 749 miles = 173 miles<br \/>\n173 miles the family have left to drive.<\/p>\n<p>Question 20.<br \/>\nWhich booth had more visitors in all?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11755\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-88.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 88\" width=\"339\" height=\"148\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-88.png 339w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-88-300x131.png 300w\" sizes=\"(max-width: 339px) 100vw, 339px\" \/><\/p>\n<p>Answer:<br \/>\nDay 1 &#8211; 468 + 527 = 995<br \/>\nDay 2 &#8211; 416 + 374 = 790<br \/>\n995 &#8211; 790 = 205<br \/>\nThus day 1 has more visitors in all.<\/p>\n<h3><a id=\"Add_Three_Digit_Numbers_Homework_&amp;_Practice_8.5\"><\/a>Add Three-Digit Numbers Homework &amp; Practice 8.5<\/h3>\n<p>Find the sum. Check whether your answer is answerable.<\/p>\n<p>Question 1.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11756\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-89.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 89\" width=\"70\" height=\"56\" \/><\/p>\n<p>Answer: 630<\/p>\n<p>Explanation:<br \/>\nThe estimated number of 493 is 490<br \/>\nThe estimated number of 142 is 140.<br \/>\n490<br \/>\n<span style=\"text-decoration: underline;\">+ 140<\/span><br \/>\n630<\/p>\n<p>Question 2.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11757\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-90.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 90\" width=\"81\" height=\"67\" \/><\/p>\n<p>Answer: 820<\/p>\n<p>Explanation:<br \/>\nThe estimated number of 763 is 760.<br \/>\nThe estimated number of 58 is 60.<br \/>\n760<br \/>\n<span style=\"text-decoration: underline;\">+ 60<\/span><br \/>\n820<\/p>\n<p>Question 3.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11758\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-91.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 91\" width=\"75\" height=\"72\" \/><\/p>\n<p>Answer: 580<\/p>\n<p>Explanation:<br \/>\nThe estimated number of 308 is 310<br \/>\nThe estimated number of 273 is 270<br \/>\n310<br \/>\n<span style=\"text-decoration: underline;\">+270<\/span><br \/>\n580<\/p>\n<p>Question 4.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11759\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-92.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 92\" width=\"79\" height=\"61\" \/><\/p>\n<p>Answer: 420<\/p>\n<p>Explanation:<br \/>\nThe estimated number of 276 is 280<br \/>\nThe estimated number of 138 is 140<br \/>\n280<br \/>\n<span style=\"text-decoration: underline;\">+ 140<\/span><br \/>\n420<\/p>\n<p>Question 5.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11760\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-93.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 93\" width=\"69\" height=\"59\" \/><\/p>\n<p>Answer: 700<\/p>\n<p>Explanation:<br \/>\nThe estimated number of 532 is 530<br \/>\nThe estimated number of 167 is 170.<br \/>\n530<br \/>\n<span style=\"text-decoration: underline;\">+170<\/span><br \/>\n700<\/p>\n<p>Question 6.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11761\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-94.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 94\" width=\"83\" height=\"66\" \/><\/p>\n<p>Answer: 980<\/p>\n<p>Explanation:<br \/>\nThe estimated number of 680<br \/>\nThe estimated number of 296 is 300.<br \/>\n680<br \/>\n<span style=\"text-decoration: underline;\">+300<\/span><br \/>\n980<\/p>\n<p>Question 7.<br \/>\nEstimate: ___<br \/>\n595 + 280 = ___<\/p>\n<p>Answer: 880<\/p>\n<p>Explanation:<br \/>\nThe estimated number of 595 is 600<br \/>\nThe estimated number of 280<br \/>\n600<br \/>\n<span style=\"text-decoration: underline;\">+ 280<\/span><br \/>\n880<\/p>\n<p>Question 8.<br \/>\nEstimate: ___<br \/>\n419 + 295<\/p>\n<p>Answer: 720<\/p>\n<p>Explanation:<br \/>\nThe estimated number of 419\u00a0 is 420<br \/>\nThe estimated number of 295 is 300<br \/>\n420<br \/>\n<span style=\"text-decoration: underline;\">+ 300<\/span><br \/>\n720<\/p>\n<p>Question 9.<br \/>\nEstimate: ___<br \/>\n498 + 305 = ___<\/p>\n<p>Answer: 800<\/p>\n<p>Explanation:<br \/>\nThe estimated number of 498 is 500<br \/>\nThe estimated number of 305 is 300<br \/>\n500<br \/>\n<span style=\"text-decoration: underline;\">+300<\/span><br \/>\n800<\/p>\n<p>Question 10.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nComplete the addends so you need to regroup to add. Then find the sums.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11762\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-95.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 95\" width=\"261\" height=\"114\" \/><\/p>\n<p>Answer:<br \/>\nLet the addend be 3<br \/>\n479<br \/>\n<span style=\"text-decoration: underline;\">+283<\/span><br \/>\n762<br \/>\nIf you take 3 as addend then you need to regroup to find the sum.<br \/>\nLet the addend be 9<br \/>\n697<br \/>\n<span style=\"text-decoration: underline;\">+135<\/span><br \/>\n832<br \/>\nIf you take 9 as addend then you need to regroup to find the sum.<\/p>\n<p>Question 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nFind the missing digits.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11763\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-96.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 96\" width=\"647\" height=\"110\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-96.png 647w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-96-300x51.png 300w\" sizes=\"(max-width: 647px) 100vw, 647px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-16656\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-96-1-300x51.jpg\" alt=\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-96\" width=\"300\" height=\"51\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-96-1-300x51.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-96-1.jpg 647w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nYou will get 466 if you add 107 and 359.<br \/>\nYou will get 982 if you add 748 and 234<br \/>\nYou will get 962 if you add 670 and 292.<br \/>\nYou will get 982 if you add 809 and 173.<\/p>\n<p>Question 12.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nNewton wants to complete a 770-mile hike in 2 months. He hikes 423 miles the first month and 347 miles the second month. Does he complete the hike?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nNewton wants to complete a 770-mile hike in 2 months.<br \/>\nHe hikes 423 miles the first month and 347 miles the second month<br \/>\n423<br \/>\n<span style=\"text-decoration: underline;\">+347<\/span><br \/>\n770<br \/>\nThus he Newton completed the hike.<\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou ship a package 750 miles from San Diego to Salt Lake City. The package is now in Las Vegas. How many miles are left until your package is delivered?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11764\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-97.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 97\" width=\"254\" height=\"226\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYou ship a package 750 miles from San Diego to Salt Lake City. The package is now in Las Vegas.<br \/>\n121 + 270 = 391 miles until Las Vegas.<br \/>\n750 &#8211; 391 = 359 miles<br \/>\nTherefore 359 miles are left until your package is delivered.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Find the quotient.<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11765\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-98.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 98\" width=\"89\" height=\"69\" \/><\/p>\n<p>Answer: 10<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 100 and 10.<br \/>\n100\/10 = 10<br \/>\nThus the quotient is 10.<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11766\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-99.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 99\" width=\"58\" height=\"65\" \/><\/p>\n<p>Answer: 9<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 45 and 5.<br \/>\n45\/5 = 9<br \/>\nThus the quotient is 9.<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11767\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-100.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 100\" width=\"63\" height=\"70\" \/><\/p>\n<p>Answer: 7<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 14 and 7.<br \/>\n14\/2 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p>Question 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11768\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-101.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 101\" width=\"70\" height=\"64\" \/><\/p>\n<p>Answer: 8<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 10 and 80.<br \/>\n80\/10 = 8<br \/>\nThus the quotient is 8.<\/p>\n<p>Question 18.<br \/>\nDivide 25 by 5.<\/p>\n<p>Answer: 5<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 5 and 25.<br \/>\n25\/5 = 5<br \/>\nThus the quotient is 5.<\/p>\n<p>Question 19.<br \/>\nDivide 30 by 10.<\/p>\n<p>Answer: 3<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 10 and 30.<br \/>\n30\/10 = 3<br \/>\nThus the quotient is 3.<\/p>\n<p>Question 20.<br \/>\nDivide 8 by 2.<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 8 and 2.<br \/>\n8\/2 = 4<br \/>\nThus the quotient is 4.<\/p>\n<h3><a id=\"Lesson_8.6_Add_Three_or_More_Numbers\"><\/a>Lesson 8.6 Add Three or More Numbers<\/h3>\n<p>Find the sum of the numbers. Which two numbers should you add first?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11769\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-102.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 8 Add and Subtract Multi-Digit Numbers 102\" width=\"420\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-102.png 420w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-102-300x214.png 300w\" sizes=\"(max-width: 420px) 100vw, 420px\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n348 = 350<br \/>\n478 = 480<br \/>\n152 = 150<br \/>\n350 + 480 + 150 = 980<br \/>\nThe sum is about 980.<br \/>\n517 = 520<br \/>\n117 = 120<br \/>\n283 = 280<br \/>\n520 + 120 + 280 = 920<br \/>\nThe sum is about 920<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n348<br \/>\n+478<br \/>\n<span style=\"text-decoration: underline;\">+152<\/span><br \/>\n978<br \/>\n978 is close to 980. So, the answer is reasonable.<br \/>\n517<br \/>\n+117<br \/>\n<span style=\"text-decoration: underline;\">+283<\/span><br \/>\n917<br \/>\n917 is close to 920, So, the answer is reasonable.<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nWhy did you choose those numbers? Compare your strategy to your partner&#8217;s strategy.<\/p>\n<p>Answer:<br \/>\n348 = 350<br \/>\n478 = 480<br \/>\n152 = 150<br \/>\nI choose these numbers because they are nearest to ten. This strategy will help to improve the mental math. After solving the problem you can verify the answer with the actual sum.<\/p>\n<p><strong>Think and Grow: Add Three or More Numbers<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 138 + 221 + 176 + 92. Check whether your answer is reasonable.<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11789\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-103.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 103\" width=\"645\" height=\"296\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-103.png 645w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-103-300x138.png 300w\" sizes=\"(max-width: 645px) 100vw, 645px\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n140 + 220 + 180 + 90 = 630<br \/>\nThe sum is about 630.<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n138<br \/>\n+221<br \/>\n+176<br \/>\n<span style=\"text-decoration: underline;\">+92<\/span><br \/>\n627<br \/>\n627 is close to 630. So, the answer is reasonable.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Find the sum. Check whether your answer is reasonable.<\/p>\n<p>Question 1.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11790\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-104.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 104\" width=\"84\" height=\"87\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n342 = 340<br \/>\n73 = 70<br \/>\n267 = 270<br \/>\n340 + 70 + 270 = 680<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n342<br \/>\n+73<br \/>\n<span style=\"text-decoration: underline;\">+267<\/span><br \/>\n682<br \/>\n682 is close to 680. So, the answer is reasonable.<\/p>\n<p>Question 2.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11791\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-105.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 105\" width=\"79\" height=\"86\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n191 = 190<br \/>\n452 = 450<br \/>\n206 = 210<br \/>\n190 + 450 + 210 = 850<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11791\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-105.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 105\" width=\"79\" height=\"86\" \/><br \/>\n849<br \/>\n849 is close to 850. So, the answer is reasonable.<\/p>\n<p>Question 3.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11792\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-106.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 106\" width=\"74\" height=\"85\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n65 = 60<br \/>\n98 = 100<br \/>\n637 = 640<br \/>\n640<br \/>\n+100<br \/>\n<span style=\"text-decoration: underline;\">+60<\/span><br \/>\n800<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n637<br \/>\n+98<br \/>\n<span style=\"text-decoration: underline;\">+65<\/span><br \/>\n800<br \/>\n800 is close to 800. So, the answer is reasonable.<\/p>\n<p>Question 4.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11793\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-107.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 107\" width=\"83\" height=\"109\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n241 = 240<br \/>\n394 = 390<br \/>\n85 = 80<br \/>\n193 = 190<br \/>\n390<br \/>\n240<br \/>\n190<br \/>\n<span style=\"text-decoration: underline;\">+80<\/span><br \/>\n900<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11793\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-107.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 107\" width=\"83\" height=\"109\" \/><br \/>\n913<br \/>\n913 is close to 900. So, the answer is reasonable.<\/p>\n<p>Question 5.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11794\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-108.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 108\" width=\"77\" height=\"117\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n136 = 140<br \/>\n51 = 50<br \/>\n64 = 60<br \/>\n410 = 410<br \/>\n140<br \/>\n410<br \/>\n+60<br \/>\n<span style=\"text-decoration: underline;\">+50<br \/>\n<\/span>660<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11794\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-108.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 108\" width=\"77\" height=\"117\" \/><br \/>\n661<br \/>\n661 is close to 660. So, the answer is reasonable.<\/p>\n<p>Question 6.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11795\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-109.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 109\" width=\"77\" height=\"106\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n105 = 100<br \/>\n113 = 110<br \/>\n222 = 220<br \/>\n307 = 310<br \/>\n100 + 110 + 220 + 310 = 740<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11795\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-109.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 109\" width=\"77\" height=\"106\" \/><br \/>\n747<br \/>\n747 is close to 740. So, the answer is reasonable.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Find the sum. Check whether your answer is answerable.<\/p>\n<p>Question 7.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11796\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-110.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 110\" width=\"77\" height=\"80\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n557 = 560<br \/>\n79 = 80<br \/>\n283 = 280<br \/>\n560 + 80 + 280 = 920<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11796\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-110.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 110\" width=\"77\" height=\"80\" \/><br \/>\n919<br \/>\n919 is close to 920. So, the answer is reasonable.<\/p>\n<p>Question 8.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11797\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-111.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 111\" width=\"84\" height=\"80\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n382 = 380<br \/>\n357 = 360<br \/>\n160 + 380 + 360 = 900<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n160<br \/>\n382<br \/>\n<span style=\"text-decoration: underline;\">357<\/span><br \/>\n899<br \/>\n899 is close to 900. So, the answer is reasonable.<\/p>\n<p>Question 9.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11798\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-112.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 112\" width=\"83\" height=\"78\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n35 = 30<br \/>\n68 = 70<br \/>\n827 = 830<br \/>\n30 + 70 + 830 = 930<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n35 + 68 + 827 = 930<br \/>\n930 is close to 930. So, the answer is reasonable.<\/p>\n<p>Question 10.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11799\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-113.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 113\" width=\"93\" height=\"113\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n153 = 150<br \/>\n235 = 230<br \/>\n458 = 460<br \/>\n67 = 70<br \/>\n150 + 230 + 460 + 70 = 910<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n153 + 235 + 458 + 67 = 913<br \/>\n913 is close to 910. So, the answer is reasonable.<\/p>\n<p>Question 11.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11800\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-114.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 114\" width=\"87\" height=\"107\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n108 = 110<br \/>\n172 = 170<br \/>\n200 = 200<br \/>\n263 = 260<br \/>\n110 + 170 + 200 + 260 = 740<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n108 + 172 + 200 + 263 = 743<br \/>\n743 is close to 740. So, the answer is reasonable.<\/p>\n<p>Question 12.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11801\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-115.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 115\" width=\"87\" height=\"120\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n181 = 180<br \/>\n629 = 630<br \/>\n140 = 140<br \/>\n23 = 20<br \/>\n180 + 630 + 140 + 20 = 970<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n181 + 629 + 140 + 23 = 973<br \/>\n973 is close to 970. So, the answer is reasonable.<\/p>\n<p>Question 13.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11802\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-116.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 116\" width=\"85\" height=\"101\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n213 = 210<br \/>\n208 = 210<br \/>\n462 = 460<br \/>\n111 = 110<br \/>\n210 + 210 + 460 + 110 = 990<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11802\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-116.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 116\" width=\"85\" height=\"101\" \/><br \/>\n994<br \/>\n994 is close to 990. So, the answer is reasonable.<\/p>\n<p>Question 14.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11803\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-117.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 117\" width=\"80\" height=\"101\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n108 = 110<br \/>\n172 = 170<br \/>\n200 = 200<br \/>\n263 = 260<br \/>\n110 + 170 + 200 + 260 = 740<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11803\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-117.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 117\" width=\"80\" height=\"101\" \/><br \/>\n743<br \/>\n743 is close to 740. So, the answer is reasonable.<\/p>\n<p>Question 15.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11804\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-118.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 118\" width=\"86\" height=\"106\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each addend to the nearest ten.<br \/>\n259 = 260<br \/>\n233 = 230<br \/>\n223 = 220<br \/>\n147 = 150<br \/>\n260 + 230 + 220 + 150 = 860<br \/>\n<strong>Step 2:<\/strong> Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11804\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-118.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 118\" width=\"86\" height=\"106\" \/><br \/>\n862<br \/>\n862 is close to 860. So, the answer is reasonable.<\/p>\n<p>Question 16.<br \/>\n<strong>Number Sense<\/strong><br \/>\nUse the Associative Property of Addition to find (345 + 234) + 206.<\/p>\n<p>Answer:<br \/>\nWe can find the (345 + 234) + 206 by using the Associative Property of Addition.<br \/>\n(a + b) + c = a + (b + c)<br \/>\n(345 + 234) + 206 = 345 + (234 + 206)<br \/>\n345 + 440 = 785<\/p>\n<p>Question 17.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend finds 364 + 109 + 27. Is your friend correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11805\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-119.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 119\" width=\"88\" height=\"124\" \/><\/p>\n<p>Answer:<br \/>\nYour friend is incorrect. The order of the sum is wrong. 27 is placed in the wrong pattern. 2 and 7 must be places on tens place and ones place.<br \/>\n364<br \/>\n109<br \/>\n<span style=\"text-decoration: underline;\">+27<\/span><br \/>\n503<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>An elevator has a weight limit of 1,000 pounds. A 186-pound man has three 265-pound boxes to deliver. Can he bring all 3 boxes on the elevator at once?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11806\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-120.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 120\" width=\"247\" height=\"227\" \/><\/p>\n<p><strong>Understand the problem:<\/strong><br \/>\n<strong>Make a plan:<\/strong><br \/>\n<strong>Solve:<\/strong><br \/>\nHe ___ bring all 3 boxes on the elevator at once.<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nAn elevator has a weight limit of 1,000 pounds.<br \/>\nA 186-pound man has three 265-pound boxes to deliver.<br \/>\n265 + 265 + 265 + 186 = 981<br \/>\n1000 &#8211; 981 = 19 pounds<br \/>\nThus he can bring all 3 boxes on the elevator at once.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 18.<br \/>\nAn auditorium has 650 seats. 175 students from each of 3 schools compete in a math competition. 68 teachers assist. Are there enough seats for all of the students and teachers?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nAn auditorium has 650 seats. 175 students from each of 3 schools compete in a math competition. 68 teachers assist.<br \/>\n175 + 175 + 175 + 68 = 593<br \/>\nThus the seats are enough for all of the students and teachers.<\/p>\n<p>Question 19.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nFour students at a school organize a petition for more lunch food options. They need 500 signatures. How many more signatures do they need?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11807\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-121.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 121\" width=\"216\" height=\"198\" \/><\/p>\n<p>Answer:<br \/>\nAdd the number of signatures of all the students<br \/>\nA\u00a0 + B + C + D = 77 + 108 + 112 + 96 = 393<br \/>\n500 &#8211; 393 = 107<br \/>\nThus they need 107 signatures more.<\/p>\n<h3><a id=\"Add_Three_or_More_Numbers_Homework_&amp;_Practice_8.6\"><\/a>Add Three or More Numbers Homework &amp; Practice 8.6<\/h3>\n<p>Find the sum. Check whether your answer is reasonable<\/p>\n<p>Question 1.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11808\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-122.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 122\" width=\"75\" height=\"86\" \/><\/p>\n<p>Answer:<br \/>\nStep 1: Estimate. Round each addend to the nearest ten.<br \/>\nStep 2: Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n862 is close to 860. So, the answer is reasonable.<\/p>\n<p>Question 2.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11809\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-123.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 123\" width=\"78\" height=\"79\" \/><\/p>\n<p>Answer:<br \/>\nStep 1: Estimate. Round each addend to the nearest ten.<br \/>\n65 = 60<br \/>\n41 = 40<br \/>\n786 = 790<br \/>\n60 + 40 + 790 = 890<br \/>\nStep 2: Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11809\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-123.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 123\" width=\"78\" height=\"79\" \/><br \/>\n892<br \/>\n892 is close to 890. So, the answer is reasonable.<\/p>\n<p>Question 3.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11810\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-124.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 124\" width=\"83\" height=\"91\" \/><\/p>\n<p>Answer:<br \/>\nStep 1: Estimate. Round each addend to the nearest ten.<br \/>\n409 = 410<br \/>\n87 = 90<br \/>\n463 = 460<br \/>\n410 + 90 + 460 = 960<br \/>\nStep 2: Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11810\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-124.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 124\" width=\"83\" height=\"91\" \/><br \/>\n959<br \/>\n959 is close to 960. So, the answer is reasonable.<\/p>\n<p>Question 4.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11811\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-125.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 125\" width=\"77\" height=\"100\" \/><\/p>\n<p>Answer:<br \/>\nStep 1: Estimate. Round each addend to the nearest ten.<br \/>\n302 = 300<br \/>\n253 = 250<br \/>\n169 = 170<br \/>\n18 = 20<br \/>\n300 + 250 + 170 + 20 = 740<br \/>\nStep 2: Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11811\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-125.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 125\" width=\"77\" height=\"100\" \/><br \/>\n742<br \/>\n742 is close to 740. So, the answer is reasonable.<\/p>\n<p>Question 5.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11812\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-126.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 126\" width=\"81\" height=\"107\" \/><\/p>\n<p>Answer:<br \/>\nStep 1: Estimate. Round each addend to the nearest ten.<br \/>\n353 = 350<br \/>\n121 = 120<br \/>\n154 = 150<br \/>\n116 = 120<br \/>\n350 + 120 + 150 + 120 = 740<br \/>\nStep 2: Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11812\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-126.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 126\" width=\"81\" height=\"107\" \/><br \/>\n744<br \/>\n744 is close to 740. So, the answer is reasonable.<\/p>\n<p>Question 6.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11813\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-127.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 127\" width=\"91\" height=\"108\" \/><\/p>\n<p>Answer:<br \/>\nStep 1: Estimate. Round each addend to the nearest ten.<br \/>\n213 = 210<br \/>\n251 = 250<br \/>\n139 = 140<br \/>\n210 + 270 + 250 + 140 = 870<br \/>\nStep 2: Find the sum, add the ones, then the tens, then the hundreds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11813\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-127.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 127\" width=\"91\" height=\"108\" \/><br \/>\n873<br \/>\n873 is close to 870. So, the answer is reasonable.<\/p>\n<p>Question 7.<br \/>\nStructure<br \/>\nWhich problem can you solve without regrouping?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11814\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-128.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 128\" width=\"555\" height=\"90\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-128.png 555w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-128-300x49.png 300w\" sizes=\"(max-width: 555px) 100vw, 555px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17233\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-128-300x64.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-128\" width=\"300\" height=\"64\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-128-300x64.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-128.jpg 555w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 8.<br \/>\n<strong>Reasoning<\/strong><br \/>\nYou add 602 + 125 + 231. Your friend adds 231 + 602 + 125. Do you both get the same answer? Use an additional property to explain.<\/p>\n<p>Answer:<br \/>\nThere are four mathematical properties that involve addition. The properties are the commutative, associative, additive identity and distributive properties. Additive Identity Property: The sum of any number and zero is the original number.<br \/>\n602 + 125 + 231 = 958<br \/>\n231 + 602 + 125 = 958<br \/>\nThe sum will be the same irrespective of the change of order.<\/p>\n<p>Question 9.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA firefighter\u2019s ladder has a weight limit of 750 pounds. One firefighter weighs 196 pounds. Another firefighter weighs 243 pounds. They each have67 pounds of gear. If both firefighters wear their gear, can they climb the ladder at the same time?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11815\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-129.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 129\" width=\"157\" height=\"188\" \/><\/p>\n<p>Answer:<br \/>\nA firefighter\u2019s ladder has a weight limit of 750 pounds.<br \/>\nOne firefighter weighs 196 pounds. Another firefighter weighs 243 pounds. They each have 67 pounds of gear.<br \/>\n196 + 243 + 67 + 67 = 573<br \/>\n750 &#8211; 573 = 177 pounds<br \/>\nIf both firefighters wear their gear, they can climb the ladder at the same time.<\/p>\n<p>Question 10.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYour principal agrees to make a lip-sync video if the school\u2019s social media page reaches 1,000 likes in 5 days. How many more likes does the school\u2019s page need?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11816\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-130.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 130\" width=\"182\" height=\"195\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYour principal agrees to make a lip-sync video if the school\u2019s social media page reaches 1,000 likes in 5 days.<br \/>\nAdd all the number of likes<br \/>\n573 + 168 + 201 + 47 = 989<br \/>\n1000 &#8211; 989 = 19 likes<br \/>\nThus the school&#8217;s page needs 19 likes more.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 11.<br \/>\nFind the area of the shape<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11817\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-131.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 131\" width=\"578\" height=\"135\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-131.png 578w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-131-300x70.png 300w\" sizes=\"(max-width: 578px) 100vw, 578px\" \/><\/p>\n<p>Answer:<br \/>\nFrom the figure, we can observe that each block = 1 sq. cm<br \/>\nWe have to find the area of the shaded part.<br \/>\nThe shaded region is in the form of a rectangle.<br \/>\nSo, we have to find the area of the rectangle.<br \/>\nA = l \u00d7 b<br \/>\nA = 7 \u00d7 3<br \/>\nA = 21 sq.cm<br \/>\nThus the area of the shape is 21 sq. cm<\/p>\n<h3><a id=\"Lesson_8.7_Use_Number_Lines_to_Subtract\"><\/a>Lesson 8.7 Use Number Lines to Subtract<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Color to find 79 &#8211; 47. Then model your jumps on the number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11818\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-132.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 132\" width=\"513\" height=\"455\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-132.png 513w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-132-300x266.png 300w\" sizes=\"(max-width: 513px) 100vw, 513px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19468\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-132-1-300x266.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-132 (1)\" width=\"300\" height=\"266\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-132-1-300x266.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-132-1.jpg 513w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Reasoning<\/strong><br \/>\nHow can finding 79 &#8211; 47 help you find 379 &#8211; 47?<\/p>\n<p>Answer:<br \/>\nYou can subtract 47 from 79 by using the number line.<br \/>\n79 &#8211; 47 = 32<br \/>\nJust add 300 to 79 or add 3 to the left and subtract 47 from 379.<br \/>\n379 &#8211; 47 = 332<\/p>\n<p><strong>Think and Grow: Subtracting on a Number Line<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 358 &#8211; 82.<br \/>\n<strong>One Way:<\/strong><br \/>\nUse the count back strategy. Start at 358. Count back by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11819\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-133.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 133\" width=\"394\" height=\"156\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-133.png 394w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-133-300x119.png 300w\" sizes=\"(max-width: 394px) 100vw, 394px\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-17527\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-133-300x119.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-133\" width=\"300\" height=\"119\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-133-300x119.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-133.jpg 394w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Another Key:<\/strong><br \/>\nUse the count on strategy. Start at 82. Count on until you reach 358.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11820\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-134.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 134\" width=\"439\" height=\"159\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-134.png 439w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-134-300x109.png 300w\" sizes=\"(max-width: 439px) 100vw, 439px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17531\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-134-300x109.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-134\" width=\"300\" height=\"109\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-134-300x109.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-134.jpg 439w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nUse the count back strategy to find 273 &#8211; 36.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11821\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-135.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 135\" width=\"598\" height=\"88\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-135.png 598w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-135-300x44.png 300w\" sizes=\"(max-width: 598px) 100vw, 598px\" \/><\/p>\n<p>Answer:<br \/>\nUse the count back strategy. Start at 273. Count back by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17532\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-135-300x44.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-135\" width=\"300\" height=\"44\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-135-300x44.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-135.jpg 598w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 2.<br \/>\nUse the strategy to find 124 &#8211; 45.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11822\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-136.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 136\" width=\"598\" height=\"95\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-136.png 598w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-136-300x48.png 300w\" sizes=\"(max-width: 598px) 100vw, 598px\" \/><\/p>\n<p>Answer:<br \/>\nUse the count on strategy. Start at 45. Count on until you reach 124.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17535\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-136-300x48.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-136\" width=\"300\" height=\"48\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-136-300x48.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-136.jpg 598w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Question 3.<br \/>\nUse the count back strategy to find 961 &#8211; 38.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11823\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-137.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 137\" width=\"621\" height=\"85\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-137.png 621w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-137-300x41.png 300w\" sizes=\"(max-width: 621px) 100vw, 621px\" \/><\/p>\n<p>Answer:<br \/>\nUse the count back strategy. Start at 961. Count back by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17536\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-137-300x41.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-137\" width=\"300\" height=\"41\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-137-300x41.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-137.jpg 621w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 4.<br \/>\nUse the count back strategy to find 853 &#8211; 77.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11824\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-138.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 138\" width=\"617\" height=\"78\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-138.png 617w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-138-300x38.png 300w\" sizes=\"(max-width: 617px) 100vw, 617px\" \/><\/p>\n<p>Answer:<br \/>\nUse the count back strategy. Start at 853. Count back by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17539\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-138-300x38.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-138\" width=\"300\" height=\"38\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-138-300x38.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-138.jpg 617w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Find the difference.<\/p>\n<p>Question 5.<br \/>\n316 &#8211; 24 = ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11825\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 139\" width=\"310\" height=\"57\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139.png 310w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139-300x55.png 300w\" sizes=\"(max-width: 310px) 100vw, 310px\" \/><\/p>\n<p>Answer:<br \/>\nUse the count back strategy. Start at 316. Count back by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17541\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139-300x115.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139\" width=\"300\" height=\"115\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139-300x115.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-139.jpg 310w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 6.<br \/>\n548 &#8211; 113 = ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11826\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-140.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 140\" width=\"297\" height=\"38\" \/><\/p>\n<p>Answer:<br \/>\nUse the count back strategy. Start at 548. Count back by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17542\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-140.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-140\" width=\"297\" height=\"118\" \/><\/p>\n<p>Question 7.<br \/>\nYour friend knows 154 words in Italian. You want to know just as many words as your friend. So far, you have learned 73 words. How many words do you have left to learn?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYour friend knows 154 words in Italian. You want to know just as many words as your friend. So far, you have learned 73 words.<br \/>\n154 &#8211; 73 = 81<br \/>\nThus 81 words are left to learn.<\/p>\n<p>Question 8.<br \/>\n<strong>Structure<\/strong><br \/>\nWrite the equation shown by the number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11827\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-141.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 141\" width=\"391\" height=\"162\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-141.png 391w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-141-300x124.png 300w\" sizes=\"(max-width: 391px) 100vw, 391px\" \/><\/p>\n<p>Answer:<br \/>\nBy seeing the above number line we can find the subtraction equation.<br \/>\nUse the count on strategy. Start at 36. Count on until you reach 407.<br \/>\n407 &#8211; 36 = 371<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>Each member of a marching band and a football team is awarded a ribbon. The marching band has 123 members. The football team has 66 members. How many more ribbons are needed for the marching band than for the football team?<br \/>\n<strong>Subtraction equation:<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11828\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-142.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 142\" width=\"638\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-142.png 638w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-142-300x28.png 300w\" sizes=\"(max-width: 638px) 100vw, 638px\" \/><br \/>\n___ more ribbons are needed for the marching band.<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nEach member of a marching band and a football team is awarded a ribbon. The marching band has 123 members. The football team has 66 members.<br \/>\n123 &#8211; 66 = 57<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17545\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-142-300x45.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-142\" width=\"300\" height=\"45\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-142-300x45.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-142.jpg 638w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nThus 57 ribbons are needed for the marching band than for the football team.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 9.<br \/>\nA marine biologist feeds 435 pounds of fish to an orca and 50 pounds of fish to a sea lion. How many more pounds did the orca eat than the sea lion?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11829\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-143.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 143\" width=\"131\" height=\"372\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-143.png 131w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-143-106x300.png 106w\" sizes=\"(max-width: 131px) 100vw, 131px\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA marine biologist feeds 435 pounds of fish to an orca and 50 pounds of fish to a sea lion.<br \/>\n435 &#8211; 50 = 385<br \/>\nThus 385 more pounds the orca eat than the sea lion.<\/p>\n<p>Question 10.<br \/>\nThere are 620 paper lanterns for a festival. Some are let go. There are 42 left. How many paper lanterns were let go?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nThere are 620 paper lanterns for a festival. Some are let go. There are 42 left.<br \/>\n620 &#8211; 42 = 578<br \/>\nTherefore 578 paper lanterns were let go.<\/p>\n<p>Question 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThere are some guests at an amusement park. 387 of them leave when it rains. 474 of them stay. How many guests were there before it rained?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nThere are some guests at an amusement park. 387 of them leave when it rains. 474 of them stay.<br \/>\n387 + 474 = 861<br \/>\nThus 861 guests were there before it rained.<\/p>\n<h3><a id=\"Use_Number_Lines_to_Subtract_Homework_&amp;_Practice_8.7\"><\/a>Use Number Lines to Subtract Homework &amp; Practice 8.7<\/h3>\n<p>Question 1.<br \/>\nUse the count back strategy to find 232 &#8211; 53.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11830\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-144.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 144\" width=\"623\" height=\"80\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-144.png 623w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-144-300x39.png 300w\" sizes=\"(max-width: 623px) 100vw, 623px\" \/><\/p>\n<p>Answer:<br \/>\nUse the count back strategy. Start at 232. Count back by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17739\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-144-300x39.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-144\" width=\"300\" height=\"39\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-144-300x39.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-144.jpg 623w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 2.<br \/>\nUse the count back strategy to find 796 &#8211; 81.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11831\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-145.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 145\" width=\"624\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-145.png 624w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-145-300x39.png 300w\" sizes=\"(max-width: 624px) 100vw, 624px\" \/><\/p>\n<p>Answer:<br \/>\nUse the count back strategy. Start at 796. Count back by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17742\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-145-300x39.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-145\" width=\"300\" height=\"39\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-145-300x39.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-145.jpg 624w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Find the difference<\/p>\n<p>Question 3.<br \/>\n474 &#8211; 19 = ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11832\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 146\" width=\"316\" height=\"37\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146.png 316w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146-300x35.png 300w\" sizes=\"(max-width: 316px) 100vw, 316px\" \/><\/p>\n<p>Answer:<br \/>\nUse the count back strategy. Start at 474. Count back by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17743\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146-300x59.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146\" width=\"300\" height=\"59\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146-300x59.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146.jpg 316w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 4.<br \/>\n615 &#8211; 204 = ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11833\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-147.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 147\" width=\"305\" height=\"32\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-147.png 305w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-147-300x31.png 300w\" sizes=\"(max-width: 305px) 100vw, 305px\" \/><\/p>\n<p>Answer:<br \/>\nUse the count back strategy. Start at 615. Count back by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17744\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-147-300x55.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-147\" width=\"300\" height=\"55\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-147-300x55.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-147.jpg 305w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 5.<br \/>\n<strong>Writing<\/strong><br \/>\nWrite and solve a subtraction word problem using 995 and 238.<\/p>\n<p>Answer:<br \/>\nThere are 995 guests at an amusement park. 238 of them leave when it rains. How many guests were there before it rained?<br \/>\n995 &#8211; 238<br \/>\nWe can solve the problem by using the number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17745\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146-1-300x100.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146\" width=\"300\" height=\"100\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146-1-300x100.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-146-1.jpg 316w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 6.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWhich number lines can you use to find 734 &#8211; 308?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11834\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-148.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 148\" width=\"636\" height=\"241\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-148.png 636w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-148-300x114.png 300w\" sizes=\"(max-width: 636px) 100vw, 636px\" \/><\/p>\n<p>Answer:<br \/>\nAmong all the number lines option ii is used to find 734 &#8211; 308.<\/p>\n<p>Question 7.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou take 107 pictures on a field trip to a zoo. Your friend takes 73 pictures. How many more pictures do you take than your friend?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11835\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-149.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 149\" width=\"245\" height=\"277\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou take 107 pictures on a field trip to a zoo. Your friend takes 73 pictures.<br \/>\n107 &#8211; 73 = 34<br \/>\nYou take 34 pictures than your friend.<\/p>\n<p>Question 8.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nAn author has 350 copies, not of her book. Some are signed. 115 copies are signed. How many copies are signed?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nAn author has 350 copies, not of her book. Some are signed. 115 copies are signed.<br \/>\n350 &#8211; 115 = 235 copies<br \/>\nTherefore 235 copies are to be signed.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Find the quotient.<\/p>\n<p>Question 9.<br \/>\nDivide 25 by 5.<\/p>\n<p>Answer: 5<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 25 and 5.<br \/>\n25\/5 = 5<br \/>\nThus the quotient is 5.<\/p>\n<p>Question 10.<br \/>\nDivide 40 by 4.<\/p>\n<p>Answer: 10<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 40 and 4.<br \/>\n40\/4 = 10<br \/>\nThus the quotient is 10.<\/p>\n<p>Question 11.<br \/>\nDivide 72 by 8.<\/p>\n<p>Answer: 9<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 72 and 8.<br \/>\n72\/8 = 9<br \/>\nThus the quotient is 9.<\/p>\n<h3><a id=\"Lesson_8.8_Use_Mental_Math_to_Subtract\"><\/a>Lesson 8.8 Use Mental Math to Subtract<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>750 &#8211; 300 = ___<br \/>\n650 &#8211; 200 = ____<br \/>\n750 &#8211; 300 = ___<br \/>\n700 &#8211; 250 = ____<br \/>\n750 &#8211; 300 = ___<br \/>\n740 &#8211; 290 = ____<\/p>\n<p>What patterns do you notice? Explain.<\/p>\n<p>Answer:<br \/>\n750 &#8211; 300 = 450<br \/>\n650 &#8211; 200 = 450<br \/>\n750 &#8211; 300 = 450<br \/>\n700 &#8211; 250 = 450<br \/>\n750 &#8211; 300 = 450<br \/>\n740 &#8211; 290 = 450<br \/>\nHere you notice that all the answers are 450 for different patterns.<\/p>\n<p><strong>Think and Grow: Mental Math Strategies for Subtraction<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 433 &#8211; 198.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11836\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-150.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 150\" width=\"186\" height=\"240\" \/><br \/>\n<strong>One Way:<\/strong> Use compensation to change both numbers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11837\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-151.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 151\" width=\"314\" height=\"151\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-151.png 314w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-151-300x144.png 300w\" sizes=\"(max-width: 314px) 100vw, 314px\" \/><br \/>\n433 + 2 = 435<br \/>\n198 + 2 = 200<br \/>\n435<br \/>\n<span style=\"text-decoration: underline;\">-200<\/span><br \/>\n235<br \/>\nSo, 433 &#8211; 198 = 235<\/p>\n<p><strong>Another Way: <\/strong>Use compensation to change one number.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11838\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-152.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 152\" width=\"655\" height=\"242\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-152.png 655w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-152-300x111.png 300w\" sizes=\"(max-width: 655px) 100vw, 655px\" \/><br \/>\n198 is close to 200 and it is easier to subtract 200.<br \/>\n433<br \/>\n<span style=\"text-decoration: underline;\">-198 + 2 = 200<\/span><br \/>\n233<br \/>\n233 + 2 = 235<br \/>\nSo, 433 &#8211; 198 = 235<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Use compensation to find the difference<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11840\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-153.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 153\" width=\"278\" height=\"136\" \/><\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 4 to both numbers and use mental math strategy.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19481\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-153.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-153\" width=\"278\" height=\"136\" \/><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11841\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-154.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 154\" width=\"300\" height=\"133\" \/><\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 5 to both numbers and use mental math strategy.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19485\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-154.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-154\" width=\"300\" height=\"133\" \/><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11842\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-155.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 155\" width=\"599\" height=\"112\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-155.png 599w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-155-300x56.png 300w\" sizes=\"(max-width: 599px) 100vw, 599px\" \/><\/p>\n<p>Answer:<br \/>\nUse compensation to change one number.<br \/>\n219 is close to 220 and it is easier to subtract 220.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19490\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-155-300x56.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-155\" width=\"300\" height=\"56\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-155-300x56.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-155.jpg 599w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Use compensation to find the difference<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11843\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-156.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 156\" width=\"261\" height=\"141\" \/><\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 1 to both numbers and use mental math strategy.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19493\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-156.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-156\" width=\"261\" height=\"141\" \/><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11844\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-157.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 157\" width=\"340\" height=\"142\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-157.png 340w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-157-300x125.png 300w\" sizes=\"(max-width: 340px) 100vw, 340px\" \/><\/p>\n<p>Answer:<br \/>\n117 is close to 120. So it is easier to subtract 120.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19497\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-157-300x125.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-157\" width=\"300\" height=\"125\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-157-300x125.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-157.jpg 340w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Use mental math to find the difference<\/p>\n<p>Question 6.<br \/>\n643 &#8211; 115 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 5 to both numbers and use mental math strategy.<br \/>\n643 + 5 = 648<br \/>\n115 + 5 = 120<br \/>\n648<br \/>\n<span style=\"text-decoration: underline;\">-120<\/span><br \/>\n528<br \/>\nSo, 643 &#8211; 115 = 528<\/p>\n<p>Question 7.<br \/>\n863 &#8211; 257 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 3 to both numbers and use mental math strategy.<br \/>\n863 + 3 = 866<br \/>\n257 + 3 = 260<br \/>\n866<br \/>\n<span style=\"text-decoration: underline;\">-260<\/span><br \/>\n606<\/p>\n<p>Question 8.<br \/>\n768 &#8211; 543 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 2 to both numbers and use mental math strategy.<br \/>\n768 + 2 = 770<br \/>\n543 + 2 = 545<br \/>\n770<br \/>\n<span style=\"text-decoration: underline;\">-545<\/span><br \/>\n225<\/p>\n<p>Question 9.<br \/>\n688 &#8211; 414 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 1 to both numbers and use mental math strategy.<br \/>\n688 + 1 = 689<br \/>\n414 + 1 = 415<br \/>\n689<br \/>\n<span style=\"text-decoration: underline;\">-415<\/span><br \/>\n274<\/p>\n<p>Question 10.<br \/>\n499 &#8211; 106 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 4 to both numbers and use mental math strategy.<br \/>\n499 + 4 = 503<br \/>\n106 + 4 = 110<br \/>\n503<br \/>\n<span style=\"text-decoration: underline;\">-110<\/span><br \/>\n393<\/p>\n<p>Question 11.<br \/>\n495 &#8211; 162 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 3 to both numbers and use mental math strategy.<br \/>\n495 + 3 = 498<br \/>\n162 + 3 = 165<br \/>\n498<br \/>\n<span style=\"text-decoration: underline;\">-165<\/span><br \/>\n333<\/p>\n<p>Question 12.<br \/>\n874 &#8211; 515 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 5 to both numbers and use mental math strategy.<br \/>\n874 + 5 = 879<br \/>\n515 + 5 = 520<br \/>\n879<br \/>\n<span style=\"text-decoration: underline;\">-520<\/span><br \/>\n359<\/p>\n<p>Question 13.<br \/>\n637 &#8211; 228 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 2 to both numbers and use mental math strategy.<br \/>\n637 + 2 = 639<br \/>\n228 + 2 = 230<br \/>\n639<br \/>\n<span style=\"text-decoration: underline;\">-230<\/span><br \/>\n409<\/p>\n<p>Question 14.<br \/>\n986 &#8211; 432 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 3 to both numbers and use mental math strategy.<br \/>\n986 + 3 = 989<br \/>\n432 + 3 = 435<br \/>\n989<br \/>\n<span style=\"text-decoration: underline;\">-435<\/span><br \/>\n554<\/p>\n<p>Question 15.<br \/>\nA movie theater has 225 seats. 108 seats are not taken. How many seats are not taken?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11845\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-158.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 158\" width=\"285\" height=\"174\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA movie theater has 225 seats. 108 seats are not taken.<br \/>\n225 &#8211; 108 = 117<br \/>\nTherefore 117 seats are not taken.<\/p>\n<p>Question 16.<br \/>\n<strong>Reasoning<\/strong><br \/>\nYour friend starts to \ufb01nd 741 &#8211; 295. What is the next step? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11846\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-159.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 159\" width=\"235\" height=\"99\" \/><\/p>\n<p>Answer:<br \/>\nThe next step is to subtract the original numbers.<br \/>\n741<br \/>\n<span style=\"text-decoration: underline;\">-295<\/span><br \/>\n446<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>A softball coach has $325 for new equipment. She buys the catching gear. Does she have enough money left to buy the bat?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11868\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-402.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 402\" width=\"288\" height=\"241\" \/><\/p>\n<p>Subtraction equation:<br \/>\nCompare:<br \/>\nThe coach ___ has enough money to buy the bat.<\/p>\n<p>Answer:<br \/>\nGiven A softball coach has $325 for new equipment. She buys the catching gear.<br \/>\n325 + 1 = 326<br \/>\n219 + 1 = 220<br \/>\n326<br \/>\n<span style=\"text-decoration: underline;\">-220<\/span><br \/>\n106<br \/>\nThe cost of the bat is $109.<br \/>\nThus she does not have enough money.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 17.<br \/>\nA store owner has 550 T-shirts. He sells 333 of them. Then he receives an order for 168 T-shirts. Does he have enough T-shirts to complete the order?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA store owner has 550 T-shirts. He sells 333 of them.<br \/>\n550 &#8211; 333 = 217<br \/>\nThen he receives an order for 168 T-shirts.<br \/>\n217 &#8211; 168 = 49<br \/>\nYes, he has enough T-shirts to complete the order.<\/p>\n<p>Question 18.<br \/>\nThe manager of a gaming center has $700 for new electronics. She buys the game system. Does she have enough money left for either of the other two items? If so, which one?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11847\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-160.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 160\" width=\"607\" height=\"166\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-160.png 607w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-160-300x82.png 300w\" sizes=\"(max-width: 607px) 100vw, 607px\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nThe manager of a gaming center has $700 for new electronics. She buys the game system.<br \/>\n$399 + $169 = $568<br \/>\n700 &#8211; 568 = $132<br \/>\nThus she has enough money left for either of the other two items.<br \/>\nShe can buy the game system and a bundle of games.<\/p>\n<p><strong>DIG DEEPER!<\/strong><br \/>\nHow much more money does the manager need to buy both the television and the bundle of games?<\/p>\n<p>Answer:<br \/>\nThe cost of television is $379<br \/>\nThe cost of the bundle of games = $169<br \/>\n379 + 169 = 548<br \/>\nThus the manager need $548 to buy both the television and the bundle of games<\/p>\n<h3><a id=\"Use_Mental_Math_to_Subtract_Homework_&amp;_Practice_8.8\"><\/a>Use Mental Math to Subtract Homework &amp; Practice 8.8<\/h3>\n<p>Use compensation to find the difference.<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11848\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-161.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 161\" width=\"266\" height=\"140\" \/><\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 3 to both numbers and use mental math strategy.<br \/>\n596 + 3 = 599<br \/>\n317 + 3 = 320<br \/>\n599<br \/>\n<span style=\"text-decoration: underline;\">-320<\/span><br \/>\n279<br \/>\nSo, 596 &#8211; 317 = 279<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11849\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-162.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 162\" width=\"343\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-162.png 343w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-162-300x125.png 300w\" sizes=\"(max-width: 343px) 100vw, 343px\" \/><\/p>\n<p>Answer:<br \/>\nAdd 6 to 214 to make the subtraction easier.<br \/>\n685<br \/>\n-214 + 6 = 220<br \/>\n685<br \/>\n<span style=\"text-decoration: underline;\">-220<\/span><br \/>\n465<br \/>\nSo, 685 &#8211; 214 = 465<\/p>\n<p>Use mental math to find the difference.<\/p>\n<p>Question 3.<br \/>\n782 &#8211; 489 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 1 to both numbers and use mental math strategy.<br \/>\n782 + 1 = 783<br \/>\n489 + 1 = 490<br \/>\n783<br \/>\n<span style=\"text-decoration: underline;\">-490<\/span><br \/>\n293<br \/>\nSo, 782 &#8211; 489 = 293<\/p>\n<p>Question 4.<br \/>\n672 &#8211; 266 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 4 to both numbers and use mental math strategy.<br \/>\n672 + 4 = 676<br \/>\n266 + 4 = 270<br \/>\n676<br \/>\n<span style=\"text-decoration: underline;\">-270<\/span><br \/>\n406<br \/>\nSo, 672 &#8211; 266 = 406<\/p>\n<p>Question 5.<br \/>\n983 &#8211; 155 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 5 to both numbers and use mental math strategy.<br \/>\n983 + 5 = 988<br \/>\n155 + 5 = 160<br \/>\n988<br \/>\n<span style=\"text-decoration: underline;\">-160<\/span><br \/>\n820<br \/>\nSo, 983 &#8211; 155 = 820<\/p>\n<p>Question 6.<br \/>\n744 &#8211; 125 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 5 to both numbers and use mental math strategy.<br \/>\n744 + 5 = 749<br \/>\n125 + 5 = 130<br \/>\n749<br \/>\n&#8211;<span style=\"text-decoration: underline;\">130<\/span><br \/>\n619<br \/>\nSo, 744 &#8211; 125 = 619<\/p>\n<p>Question 7.<br \/>\n967 &#8211; 619 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 1 to both numbers and use mental math strategy.<br \/>\n967 + 1 = 968<br \/>\n619 + 1 = 620<br \/>\n968<br \/>\n<span style=\"text-decoration: underline;\">-620<\/span><br \/>\n348<br \/>\nSo, 967 &#8211; 619 = 348<\/p>\n<p>Question 8.<br \/>\n854 &#8211; 517 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 3 to both numbers and use mental math strategy.<br \/>\n854 + 3 = 857<br \/>\n517 + 3 = 520<br \/>\n857<br \/>\n<span style=\"text-decoration: underline;\">-520<\/span><br \/>\n337<br \/>\nSo, 854 &#8211; 517 = 337<\/p>\n<p>Question 9.<br \/>\n472 &#8211; 215 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 5 to both numbers and use mental math strategy.<br \/>\n472 + 5 = 479<br \/>\n215 + 5 = 220<br \/>\n479<br \/>\n&#8211;<span style=\"text-decoration: underline;\">220<\/span><br \/>\n259<br \/>\nSo, 472 &#8211; 215 = 259<\/p>\n<p>Question 10.<br \/>\n883 &#8211; 335 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 5 to both numbers and use mental math strategy.<br \/>\n883 + 5 = 888<br \/>\n335 + 5 = 340<br \/>\n888<br \/>\n<span style=\"text-decoration: underline;\">-340<\/span><br \/>\n548<br \/>\nSo, 883 &#8211; 335 = 548<\/p>\n<p>Question 11.<br \/>\n575 &#8211; 198 = ___<\/p>\n<p>Answer:<br \/>\nUse compensation to change both numbers.<br \/>\nAdd 2 to both numbers and use mental math strategy.<br \/>\n575 + 2 = 577<br \/>\n198 + 2 = 200<br \/>\n577<br \/>\n<span style=\"text-decoration: underline;\">-200<\/span><br \/>\n377<br \/>\nSo, 575 &#8211; 198 = 377<\/p>\n<p>Question 12.<br \/>\nReasoning<br \/>\nTo find 765 &#8211; 246, Newton adds 5 to each number and then subtracts. To find the difference, Descartes adds 4 to each number, and then subtracts. Will they both get the correct answer? Explain.<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nTo find 765 &#8211; 246, Newton adds 5 to each number and then subtracts.<br \/>\n765 + 5 = 770<br \/>\n246 + 5 = 251<br \/>\n770 &#8211; 251 = 519<br \/>\nTo find the difference, Descartes adds 4 to each number, and then subtracts.<br \/>\n765 + 4 = 769<br \/>\n246 + 4 = 250<br \/>\n769 &#8211; 250 = 519<br \/>\nYes they both get the correct answer.<\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA custodian has 350 desks to clean. She cleans 124 desks on the first floor and 147 desks on the second floor. Does she clean all of the desks?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA custodian has 350 desks to clean.<br \/>\nShe cleans 124 desks on the first floor and 147 desks on the second floor.<br \/>\n124 + 147 = 271<br \/>\n350<br \/>\n<span style=\"text-decoration: underline;\">-271<\/span><br \/>\n79<br \/>\nNo, she did not clean all of the desks.<\/p>\n<p>Question 14.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA fashion designer has $ 725 to spend on new supplies. She buys the sewing machine. Does she have enough money left for either of the other two items? If so, which one?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11850\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-163.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 163\" width=\"630\" height=\"179\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-163.png 630w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-163-300x85.png 300w\" sizes=\"(max-width: 630px) 100vw, 630px\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA fashion designer has $ 725 to spend on new supplies. She buys the sewing machine.<br \/>\n725 &#8211; 495 = 230<br \/>\nYes she has enough money left for either of the other two items<br \/>\nShe can buy a Mannequin.<\/p>\n<p><strong>DIG DEEPER!<\/strong><br \/>\nHow much more money does the fashion designer need to buy both the mannequin and the fashion design software?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nThe cost of the Mannequin is $129<br \/>\nThe cost of the fashion design software is $329<br \/>\n129 + 329 = 458<br \/>\n458 &#8211; 230 = 228<br \/>\nThus she needs 228 to buy both the mannequin and the fashion design software.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Draw equal groups. Then complete the equations.<\/p>\n<p>Question 15.<br \/>\n3 groups of 6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11851\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-164.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 164\" width=\"252\" height=\"74\" \/><\/p>\n<p>Answer:<br \/>\n3 groups of 6 means 3 times 6.<br \/>\n6 + 6 + 6 = 18<br \/>\n3 \u00d7 6 = 18<\/p>\n<p>Question 16.<br \/>\n4 groups of 9<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11852\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-165.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 165\" width=\"290\" height=\"75\" \/><\/p>\n<p>Answer:<br \/>\n4 groups of 9 means 4 times 9.<br \/>\n9 + 9 + 9 + 9 = 36<br \/>\n4 \u00d7 9 = 36<\/p>\n<h3><a id=\"Lesson_8.9_Subtract_Three_Digit_Numbers\"><\/a>Lesson 8.9 Subtract Three-Digit Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Model the equation. Draw to show your model. Then find the difference.<br \/>\n694 &#8211; 418 = ___<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nHow can you use an estimate to check whether your answer is reasonable?<\/p>\n<p>Answer:<br \/>\nFind 694 &#8211; 418. Check whether your answer is reasonable.<br \/>\n694 = 700<br \/>\n418 = 400<br \/>\n700<br \/>\n<span style=\"text-decoration: underline;\">-400<\/span><br \/>\n300<br \/>\nThe difference is about 300.<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17472\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-answers-grade-3-chapter-8-img-1-238x300.jpg\" alt=\"Big-ideas-math-answers-grade-3-chapter-8-img-1\" width=\"238\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-answers-grade-3-chapter-8-img-1-238x300.jpg 238w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-answers-grade-3-chapter-8-img-1.jpg 718w\" sizes=\"(max-width: 238px) 100vw, 238px\" \/><br \/>\nStep 3: Check 276 is close to 300, so the answer is reasonable.<\/p>\n<p><strong>Think and Grow: Subtract Three-Digit Numbers<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 604 &#8211; 215. Check whether your answer is reasonable.<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11853\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-166.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 166\" width=\"478\" height=\"99\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-166.png 478w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-166-300x62.png 300w\" sizes=\"(max-width: 478px) 100vw, 478px\" \/><br \/>\n600<br \/>\n<span style=\"text-decoration: underline;\">-200<\/span><br \/>\n400<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11854\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-167.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 167\" width=\"481\" height=\"156\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-167.png 481w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-167-300x97.png 300w\" sizes=\"(max-width: 481px) 100vw, 481px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17474\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-167-300x99.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-167\" width=\"300\" height=\"99\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-167-300x99.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-167.jpg 481w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nStep 3: Check 389 is close to 400, so the answer is reasonable.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Find the difference. Check whether your answer is reasonable.<\/p>\n<p>Question 1.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11855\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-168.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 168\" width=\"79\" height=\"62\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n300<br \/>\n<span style=\"text-decoration: underline;\">200<\/span><br \/>\n100<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17479\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Grade-3-Chapter-8-Add-and-subtract-digit-numbers-img-2-211x300.jpg\" alt=\"BIM-Grade-3-Chapter-8-Add-and-subtract-digit-numbers-img-2\" width=\"211\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Grade-3-Chapter-8-Add-and-subtract-digit-numbers-img-2-211x300.jpg 211w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Grade-3-Chapter-8-Add-and-subtract-digit-numbers-img-2-720x1024.jpg 720w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Grade-3-Chapter-8-Add-and-subtract-digit-numbers-img-2.jpg 749w\" sizes=\"(max-width: 211px) 100vw, 211px\" \/><br \/>\nStep 3: Check 136 is close to 100, so the answer is reasonable.<\/p>\n<p>Question 2.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11856\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-169.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 169\" width=\"83\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n538 = 500<br \/>\n371 = 400<br \/>\n500 &#8211; 400 = 100<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17481\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-img-3-232x300.jpg\" alt=\"BIM Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers img-3\" width=\"232\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-img-3-232x300.jpg 232w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Answers-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-img-3.jpg 657w\" sizes=\"(max-width: 232px) 100vw, 232px\" \/><br \/>\nStep 3: Check 167 is close to 100, so the answer is reasonable.<\/p>\n<p>Question 3.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11857\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-170.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 170\" width=\"72\" height=\"69\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n500 &#8211; 300 = 200<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17482\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Bigideas-math-answer-key-3rd-grade-chapter-8-add-and-subtract-multi-digit-numbers-img-4-242x300.jpg\" alt=\"Bigideas-math-answer-key-3rd-grade-chapter-8-add-and-subtract-multi-digit-numbers-img-4\" width=\"242\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Bigideas-math-answer-key-3rd-grade-chapter-8-add-and-subtract-multi-digit-numbers-img-4-242x300.jpg 242w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Bigideas-math-answer-key-3rd-grade-chapter-8-add-and-subtract-multi-digit-numbers-img-4-826x1024.jpg 826w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Bigideas-math-answer-key-3rd-grade-chapter-8-add-and-subtract-multi-digit-numbers-img-4-768x952.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Bigideas-math-answer-key-3rd-grade-chapter-8-add-and-subtract-multi-digit-numbers-img-4.jpg 870w\" sizes=\"(max-width: 242px) 100vw, 242px\" \/><br \/>\nStep 3: Check 238 is close to 200, so the answer is reasonable.<\/p>\n<p>Question 4.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11858\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-171.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 171\" width=\"79\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n963 = 1000<br \/>\n429 = 400<br \/>\n1000 &#8211; 400 = 600<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17483\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-answers-3rd-grade-chapter-8-add-and-subtract-multi-digit-numbers-img-5-233x300.jpg\" alt=\"Big-ideas-math-answers-3rd-grade-chapter-8-add-and-subtract-multi-digit-numbers-img-5\" width=\"233\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-answers-3rd-grade-chapter-8-add-and-subtract-multi-digit-numbers-img-5-233x300.jpg 233w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-answers-3rd-grade-chapter-8-add-and-subtract-multi-digit-numbers-img-5.jpg 713w\" sizes=\"(max-width: 233px) 100vw, 233px\" \/><br \/>\nStep 3: Check 534 is close to 600, so the answer is reasonable.<\/p>\n<p>Question 5.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11859\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-172.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 172\" width=\"74\" height=\"71\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n641 = 600<br \/>\n287 = 300<br \/>\n600 &#8211; 300 = 300<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17485\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Book-Grade-3-chapter-8-add-and-subtract-multi-digit-numbers-img-6-208x300.jpg\" alt=\"BIM-Book-Grade-3-chapter-8-add-and-subtract-multi-digit-numbers-img-6\" width=\"208\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Book-Grade-3-chapter-8-add-and-subtract-multi-digit-numbers-img-6-208x300.jpg 208w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Book-Grade-3-chapter-8-add-and-subtract-multi-digit-numbers-img-6.jpg 652w\" sizes=\"(max-width: 208px) 100vw, 208px\" \/><br \/>\nStep 3: Check 354 is close to 300, so the answer is reasonable.<\/p>\n<p>Question 6.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11860\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-173.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 173\" width=\"77\" height=\"67\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n832 = 800<br \/>\n359 = 300<br \/>\n800 &#8211; 300 = 500<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17487\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-answers-3rd-grade-chapter-8-img-7-208x300.jpg\" alt=\"Big-ideas-math-book-answers-3rd-grade-chapter-8-img-7\" width=\"208\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-answers-3rd-grade-chapter-8-img-7-208x300.jpg 208w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-answers-3rd-grade-chapter-8-img-7-711x1024.jpg 711w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-answers-3rd-grade-chapter-8-img-7.jpg 756w\" sizes=\"(max-width: 208px) 100vw, 208px\" \/><br \/>\nStep 3: Check 473 is close to 500, so the answer is reasonable.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Find the difference. Check whether your answer is reasonable.<\/p>\n<p>Question 7.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11861\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-174.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 174\" width=\"69\" height=\"59\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n518 = 500<br \/>\n232 = 200<br \/>\n500 &#8211; 200 = 300<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17506\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-14-229x300.jpg\" alt=\"Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-14\" width=\"229\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-14-229x300.jpg 229w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-14.jpg 757w\" sizes=\"(max-width: 229px) 100vw, 229px\" \/><br \/>\nStep 3: Check 286 is close to 300, so the answer is reasonable.<\/p>\n<p>Question 8.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11862\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-175.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 175\" width=\"76\" height=\"76\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n971 = 1000<br \/>\n320 = 300<br \/>\n1000 &#8211; 300 = 700<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17508\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-15-281x300.jpg\" alt=\"Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-15\" width=\"281\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-15-281x300.jpg 281w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-15.jpg 756w\" sizes=\"(max-width: 281px) 100vw, 281px\" \/><br \/>\nStep 3: Check 651 is close to 700, so the answer is reasonable.<\/p>\n<p>Question 9.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11863\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-176.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 176\" width=\"86\" height=\"66\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n565 = 600<br \/>\n289 = 300<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17510\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-16-205x300.jpg\" alt=\"Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-16\" width=\"205\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-16-205x300.jpg 205w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-16-700x1024.jpg 700w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-16-768x1123.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-16.jpg 907w\" sizes=\"(max-width: 205px) 100vw, 205px\" \/><br \/>\nStep 3: Check 276 is close to 300, so the answer is reasonable.<\/p>\n<p>Question 10.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11864\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-177.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 177\" width=\"97\" height=\"65\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n546 = 500<br \/>\n341 = 300<br \/>\n500 &#8211; 300 = 200<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17512\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-17-287x300.jpg\" alt=\"Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-17\" width=\"287\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-17-287x300.jpg 287w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-17-768x803.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-17.jpg 817w\" sizes=\"(max-width: 287px) 100vw, 287px\" \/><br \/>\nStep 3: Check 205 is close to 200, so the answer is reasonable.<\/p>\n<p>Question 11.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11865\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-178.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 178\" width=\"81\" height=\"66\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n707 = 700<br \/>\n453 = 400<br \/>\n700 &#8211; 400 = 300<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17513\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-18-241x300.jpg\" alt=\"Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-18\" width=\"241\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-18-241x300.jpg 241w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-18-821x1024.jpg 821w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-18-768x958.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-amswers-chapter-8-add-and-subtract-multi-digit-numbers-img-18.jpg 837w\" sizes=\"(max-width: 241px) 100vw, 241px\" \/><br \/>\nStep 3: Check 254 is close to 300, so the answer is reasonable.<\/p>\n<p>Question 12.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11866\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-179.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 179\" width=\"76\" height=\"61\" \/><\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n406 = 400<br \/>\n77 = 100<br \/>\n400 &#8211; 100 = 300<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17514\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-19-207x300.jpg\" alt=\"Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-19\" width=\"207\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-19-207x300.jpg 207w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-19.jpg 645w\" sizes=\"(max-width: 207px) 100vw, 207px\" \/><br \/>\nStep 3: Check 329 is close to 300, so the answer is reasonable.<\/p>\n<p>Question 13.<br \/>\nEstimate: ____<br \/>\n552 &#8211; 381 = ___<\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n552 = 600<br \/>\n381 = 400<br \/>\n600 &#8211; 400 = 200<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17515\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-20-236x300.jpg\" alt=\"Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-20\" width=\"236\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-20-236x300.jpg 236w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-20-805x1024.jpg 805w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-20-768x977.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-20.jpg 833w\" sizes=\"(max-width: 236px) 100vw, 236px\" \/><br \/>\nStep 3: Check 171 is close to 200, so the answer is reasonable.<\/p>\n<p>Question 14.<br \/>\nEstimate: ___<br \/>\n725 &#8211; 146 = ____<\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n725 = 700<br \/>\n146 = 100<br \/>\n700 &#8211; 100 = 600<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17516\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-21-209x300.jpg\" alt=\"Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-21\" width=\"209\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-21-209x300.jpg 209w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-21-714x1024.jpg 714w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-21-768x1101.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-21.jpg 880w\" sizes=\"(max-width: 209px) 100vw, 209px\" \/><br \/>\nStep 3: Check 579 is close to 600, so the answer is reasonable.<\/p>\n<p>Question 15.<br \/>\nEstimate: ___<br \/>\n800 &#8211; 486 = ___<\/p>\n<p>Answer:<br \/>\n<strong>Step 1:<\/strong> Estimate. Round each number to the nearest hundred.<br \/>\n486 = 500<br \/>\n800 &#8211; 500 = 300<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17518\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-22-209x300.jpg\" alt=\"Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-22\" width=\"209\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-22-209x300.jpg 209w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-22-713x1024.jpg 713w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-22-768x1103.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-book-grade-3-answers-chapter-8-add-and-subtract-multi-digit-numbers-img-22.jpg 794w\" sizes=\"(max-width: 209px) 100vw, 209px\" \/><br \/>\nStep 3: Check 314 is close to 300, so the answer is reasonable.<\/p>\n<p>Question 16.<br \/>\nThe number of rings on a tree is equal to its age. A redwood tree has 473 rings. A bristlecone pine tree has 806 rings. How much older is the bristlecone pine tree than the redwood tree?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11867\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-180.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 180\" width=\"212\" height=\"199\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nThe number of rings on a tree is equal to its age. A redwood tree has 473 rings. A bristlecone pine tree has 806 rings<br \/>\n806<br \/>\n<span style=\"text-decoration: underline;\">-473<\/span><br \/>\n333<br \/>\nThus 333 older is the bristlecone pine tree than the redwood tree.<\/p>\n<p>Question 17.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain how to regroup 408 to subtract 259.<\/p>\n<p>Answer:<br \/>\nWorking each column from right to left<br \/>\n9 is greater than 8 so you must regroup:<br \/>\nTake 1 from 4, so 4 becomes 3.<br \/>\nAdd 10 to 0, so 0 becomes 10.<br \/>\nTake 1 from 10, so 10 becomes 9.<br \/>\nAdd 10 to 8, so 8 becomes 18.<br \/>\n18 minus 9 is 9.<br \/>\n9 minus 5 is 4.<br \/>\n3 minus 2 is 1.<br \/>\n408<br \/>\n<span style=\"text-decoration: underline;\">-259<\/span><br \/>\n<span style=\"text-decoration: underline;\">149<\/span><\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>How many more pennies does the class need to reach the goal?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11869\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-500.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 500\" width=\"155\" height=\"201\" \/><br \/>\n<strong>Subtraction equation:<\/strong><br \/>\nThe class needs to collect ___ more pennies.<\/p>\n<p>Answer:<br \/>\n800<br \/>\n<span style=\"text-decoration: underline;\">-444<\/span><br \/>\n356<br \/>\nThe class needs to collect 356 more pennies.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 18.<br \/>\nHow many more campers can attend the summer camp?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11870\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-501.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 501\" width=\"229\" height=\"111\" \/><\/p>\n<p>Answer:<br \/>\nTotal summer camp openings = 405<br \/>\nFilled = 316<br \/>\n400 &#8211; 316 = 84<br \/>\n84 more campers can attend the summer camp.<\/p>\n<p>Question 19.<br \/>\nA musician wants to buy a set of speakers that costs $672. She saves $224 each month for 2 months. How much money does she still need to save?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA musician wants to buy a set of speakers that costs $672.<br \/>\nShe saves $224 each month for 2 months.<br \/>\n224 + 224 = 448<br \/>\n672 &#8211; 448 = 224<br \/>\nThus she still need to save $224.<\/p>\n<p>Question 20.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nNewton has 442 packages to deliver. Descartes has 464. Newton delivers 174 packages, and Descartes delivers 188. Who is closer to finishing his deliveries?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11871\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-502.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 502\" width=\"194\" height=\"143\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nNewton has 442 packages to deliver. Descartes has 464. Newton delivers 174 packages, and Descartes delivers 188.<br \/>\n442 &#8211; 174 = 268<br \/>\n464 &#8211; 188 = 276<br \/>\nThus Newton is closer to finishing his deliveries.<\/p>\n<h3><a id=\"Subtract_Three_Digit_Numbers_Homework_&amp;_Practice_8.9\"><\/a>Subtract Three-Digit Numbers Homework &amp; Practice 8.9<\/h3>\n<p>Find the difference. Check whether your answer is reasonable.<\/p>\n<p>Question 1.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11872\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-503.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 503\" width=\"82\" height=\"71\" \/><\/p>\n<p>Answer:<br \/>\nThe estimated number for 571 is 600.<br \/>\nThe estimated number for 220 is 200.<br \/>\n600<br \/>\n<span style=\"text-decoration: underline;\">-200<\/span><br \/>\n400<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17495\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Grade-3-Answer-Key-Chapter-8-Add-Subtract-Multi-Digit-Numbers-img-8-278x300.jpg\" alt=\"BIM-Grade-3-Answer-Key-Chapter-8-Add-&amp;-Subtract-Multi-Digit-Numbers-img-8\" width=\"278\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Grade-3-Answer-Key-Chapter-8-Add-Subtract-Multi-Digit-Numbers-img-8-278x300.jpg 278w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Grade-3-Answer-Key-Chapter-8-Add-Subtract-Multi-Digit-Numbers-img-8.jpg 721w\" sizes=\"(max-width: 278px) 100vw, 278px\" \/><br \/>\n352 is close to 400. So the answer is reasonable.<\/p>\n<p>Question 2.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11873\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-504.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 504\" width=\"81\" height=\"71\" \/><\/p>\n<p>Answer:<br \/>\nThe estimated number for 421 is 400.<br \/>\nThe estimated number for 277 is 300.<br \/>\n400<br \/>\n<span style=\"text-decoration: underline;\">-300<\/span><br \/>\n100<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17497\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-3rd-Grade-Solutions-Chapter-8-Add-and-subtract-multi-digit-numbers-img-9-206x300.jpg\" alt=\"BIM-3rd-Grade-Solutions-Chapter-8-Add-and-subtract-multi-digit-numbers-img-9\" width=\"206\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-3rd-Grade-Solutions-Chapter-8-Add-and-subtract-multi-digit-numbers-img-9-206x300.jpg 206w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-3rd-Grade-Solutions-Chapter-8-Add-and-subtract-multi-digit-numbers-img-9-703x1024.jpg 703w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-3rd-Grade-Solutions-Chapter-8-Add-and-subtract-multi-digit-numbers-img-9.jpg 755w\" sizes=\"(max-width: 206px) 100vw, 206px\" \/><br \/>\n144 is close to 100. So the answer is reasonable.<\/p>\n<p>Question 3.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11874\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-505.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 505\" width=\"79\" height=\"68\" \/><\/p>\n<p>Answer:<br \/>\nThe estimated number for 534 is 500.<br \/>\nThe estimated number for 186 is 200<br \/>\n500<br \/>\n<span style=\"text-decoration: underline;\">-200<\/span><br \/>\n300<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17500\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Bigideas-math-answers-3rd-grade-chapter-8-img-10-207x300.jpg\" alt=\"Bigideas-math-answers-3rd-grade-chapter-8-img-10\" width=\"207\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Bigideas-math-answers-3rd-grade-chapter-8-img-10-207x300.jpg 207w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Bigideas-math-answers-3rd-grade-chapter-8-img-10-707x1024.jpg 707w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Bigideas-math-answers-3rd-grade-chapter-8-img-10-768x1113.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Bigideas-math-answers-3rd-grade-chapter-8-img-10.jpg 771w\" sizes=\"(max-width: 207px) 100vw, 207px\" \/><br \/>\n348 is close to 300. So the answer is reasonable.<\/p>\n<p>Question 4.<br \/>\nEstimate: ___<br \/>\n690 &#8211; 298 = ___<\/p>\n<p>Answer:<br \/>\nThe estimated number for 690 is 700<br \/>\nThe estimated number for 298 is 300.<br \/>\n700<br \/>\n<span style=\"text-decoration: underline;\">-300<\/span><br \/>\n400<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17501\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-grade-3-solution-key-chapter-8-add-and-subtract-multi-digit-numbers-img-11-205x300.jpg\" alt=\"BIM-grade-3-solution-key-chapter-8-add-and-subtract-multi-digit-numbers-img-11\" width=\"205\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-grade-3-solution-key-chapter-8-add-and-subtract-multi-digit-numbers-img-11-205x300.jpg 205w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-grade-3-solution-key-chapter-8-add-and-subtract-multi-digit-numbers-img-11.jpg 646w\" sizes=\"(max-width: 205px) 100vw, 205px\" \/><br \/>\n392 is close to 400. So the answer is reasonable.<\/p>\n<p>Question 5.<br \/>\nEstimate: ___<br \/>\n613 &#8211; 472 = ___<\/p>\n<p>Answer:<br \/>\nThe estimated number for 613 is 600.<br \/>\nThe estimated number for 472 is 500<br \/>\n600<br \/>\n<span style=\"text-decoration: underline;\">-500<\/span><br \/>\n100<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17502\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-answer-key-grade-3-8th-chapter-add-subtract-multi-digit-numbers-img-12-234x300.jpg\" alt=\"Big-ideas-math-answer-key-grade-3-8th-chapter-add-&amp;-subtract-multi-digit-numbers-img-12\" width=\"234\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-answer-key-grade-3-8th-chapter-add-subtract-multi-digit-numbers-img-12-234x300.jpg 234w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-answer-key-grade-3-8th-chapter-add-subtract-multi-digit-numbers-img-12.jpg 696w\" sizes=\"(max-width: 234px) 100vw, 234px\" \/><br \/>\n141 is close to 100. So the answer is reasonable.<\/p>\n<p>Question 6.<br \/>\nEstimate: ___<br \/>\n835 &#8211; 189 = ___<\/p>\n<p>Answer:<br \/>\nThe estimated number for 835 is 800.<br \/>\nThe estimated number for 189 is 200.<br \/>\n800<br \/>\n<span style=\"text-decoration: underline;\">-200<\/span><br \/>\n600<br \/>\n<strong>Step 2:<\/strong> Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17504\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Solution-Key-Grade-3-Chapter-8-img-13-207x300.jpg\" alt=\"BIM-Solution-Key-Grade-3-Chapter-8-img-13\" width=\"207\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Solution-Key-Grade-3-Chapter-8-img-13-207x300.jpg 207w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Solution-Key-Grade-3-Chapter-8-img-13.jpg 605w\" sizes=\"(max-width: 207px) 100vw, 207px\" \/><br \/>\n646 is close to 600. So the answer is reasonable.<\/p>\n<p>Question 7.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says you have to regroup every time you subtract from a number that has a zero. Is your friend correct? Explain.<\/p>\n<p>Answer:<br \/>\nYour friend says you have to regroup every time you subtract from a number that has a zero.<br \/>\nYes, your friend is correct. Because whenever you subtract a number from 0 you have to regroup.<\/p>\n<p>Question 8.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nHow many more soup can labels does the school need to reach the goal?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11875\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-506.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 506\" width=\"667\" height=\"211\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-506.png 667w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-506-300x95.png 300w\" sizes=\"(max-width: 667px) 100vw, 667px\" \/><\/p>\n<p>Answer:<br \/>\nTo find how many more soup can label does the school need to reach the goal you have to subtract label collected from school soup.<br \/>\n1000 &#8211; 638 = 362<\/p>\n<p>Question 9.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nNewton wants to buy a couch that costs $594. He saves $198 each month for 2 months. How much money does he still need to save?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nNewton wants to buy a couch that costs $594. He saves $198 each month for 2 months.<br \/>\n198 \u00d7 2 = $396<br \/>\n594 &#8211; 396 = -198<br \/>\nTherefore Newton need to save $198 to buy the couch.<\/p>\n<p>Question 10.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nFind the missing digits.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11876\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-507.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 507\" width=\"618\" height=\"111\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-507.png 618w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-507-300x54.png 300w\" sizes=\"(max-width: 618px) 100vw, 618px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17069\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-507-300x54.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-507\" width=\"300\" height=\"54\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-507-300x54.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-507.jpg 618w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Round the number to the nearest ten and to the nearest hundred.<\/p>\n<p>Question 11.<br \/>\n64<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11877\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-508.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 508\" width=\"204\" height=\"78\" \/><\/p>\n<p>Answer:<br \/>\nThe number 64 nearest ten is 60.<br \/>\nThe number nearest hundred to 64 is 60.<\/p>\n<p>Question 12.<br \/>\n411<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11878\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-509.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 509\" width=\"205\" height=\"75\" \/><\/p>\n<p>Answer:<br \/>\nThe number 411 nearest ten is 410<br \/>\nThe number nearest hundred to 411 is 400.<\/p>\n<h3><a id=\"Lesson_8.10_Relate_Addition_and_Subtraction\"><\/a>Lesson 8.10 Relate Addition and Subtraction<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>How can you find the missing number? How do you know you are correct?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11695\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-510.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 510\" width=\"274\" height=\"148\" \/><\/p>\n<p><strong>Reasoning<\/strong><br \/>\nHow are addition and subtraction related?<\/p>\n<p>Answer:<br \/>\n497 &#8211; 358 = 136<br \/>\nCheck the answer by using the addition model.<br \/>\n136<br \/>\n<span style=\"text-decoration: underline;\">+358<\/span><br \/>\n497<br \/>\nSo, the answer is reasonable.<\/p>\n<p><strong>Think and Grow: Relate Addition and Subtraction<\/strong><\/p>\n<p>Inverse operations are operations that \u201cundo\u201d each other. Addition and subtraction are inverse operations.<br \/>\n<strong>Example<\/strong><br \/>\nFind 846 &#8211; 283. Use the inverse operation to check.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11696\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-511.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 511\" width=\"522\" height=\"105\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-511.png 522w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-511-300x60.png 300w\" sizes=\"(max-width: 522px) 100vw, 522px\" \/><\/p>\n<p>Answer:<br \/>\nFirst, subtract 283 from 846 and then use the inverse operation to check the solution.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19522\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-511-300x60.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-511\" width=\"300\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-511-300x60.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-511.jpg 522w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 355 + 437. Use the inverse operation to check.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11697\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-512.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 512\" width=\"546\" height=\"102\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-512.png 546w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-512-300x56.png 300w\" sizes=\"(max-width: 546px) 100vw, 546px\" \/><\/p>\n<p>Answer:<br \/>\nFirst, add 355 from 437 and then use the inverse operation to check the solution.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19523\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-512-300x56.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-512\" width=\"300\" height=\"56\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-512-300x56.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-512.jpg 546w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Find the sum or difference. Use the inverse operation to check.<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11681\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-183.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 183\" width=\"269\" height=\"101\" \/><\/p>\n<p>Answer:<br \/>\nFirst, subtract 682 from 419 and then use the inverse operation to check the solution.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19524\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-183.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-183\" width=\"269\" height=\"101\" \/><br \/>\nSo, the answer is reasonable.<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11682\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-184.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 184\" width=\"273\" height=\"109\" \/><\/p>\n<p>Answer:<br \/>\nFirst, add 169 from 745 and then use the inverse operation to check the solution.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19525\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-184.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-184\" width=\"273\" height=\"109\" \/><br \/>\nSo, the answer is reasonable.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11698\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-513.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 513\" width=\"267\" height=\"101\" \/><\/p>\n<p>Answer:<br \/>\nFirst, add 376 from 238 and then use the inverse operation to check the solution.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19526\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-513.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-513\" width=\"267\" height=\"101\" \/><br \/>\nSo, the answer is reasonable.<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11699\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-514.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 514\" width=\"267\" height=\"95\" \/><\/p>\n<p>Answer:<br \/>\nFirst, subtract 547 from 285 and then use the inverse operation to check the solution.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19527\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-514.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-514\" width=\"267\" height=\"95\" \/><br \/>\nSo, the answer is reasonable.<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11700\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-515.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 515\" width=\"78\" height=\"70\" \/><\/p>\n<p>Answer:<br \/>\nFirst, add 463 from 349 and then use the inverse operation to check the solution.<br \/>\n463<br \/>\n<span style=\"text-decoration: underline;\">+349<\/span><br \/>\n812<br \/>\nUse the inverse operation to check the solution<br \/>\n812<br \/>\n<span style=\"text-decoration: underline;\">-349<\/span><br \/>\n463<br \/>\nSo, the answer is reasonable.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11701\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-516.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 516\" width=\"74\" height=\"65\" \/><\/p>\n<p>Answer:<br \/>\nFirst, subtract 790 from 317 and then use the inverse operation to check the solution.<br \/>\n790<br \/>\n<span style=\"text-decoration: underline;\">-317<\/span><br \/>\n473<br \/>\nUse the inverse operation to check the solution<br \/>\n473<br \/>\n<span style=\"text-decoration: underline;\">+317<\/span><br \/>\n790<br \/>\nSo, the answer is reasonable.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Find the sum or difference. Use the inverse operation to check.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11702\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-517.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 517\" width=\"96\" height=\"74\" \/><\/p>\n<p>Answer:<br \/>\nFirst, subtract 857 from 567 and then use the inverse operation to check the solution.<br \/>\n857<br \/>\n<span style=\"text-decoration: underline;\">-567<\/span><br \/>\n290<br \/>\nUse the inverse operation to check the solution<br \/>\n290<br \/>\n<span style=\"text-decoration: underline;\">+567<\/span><br \/>\n857<br \/>\nSo, the answer is reasonable.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11703\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-518.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 518\" width=\"78\" height=\"75\" \/><\/p>\n<p>Answer:<br \/>\nFirst, add 762 from 143 and then use the inverse operation to check the solution.<br \/>\n762<br \/>\n<span style=\"text-decoration: underline;\">+143<\/span><br \/>\n905<br \/>\nUse the inverse operation to check the solution<br \/>\n905<br \/>\n<span style=\"text-decoration: underline;\">-143<\/span><br \/>\n762<br \/>\nSo, the answer is reasonable.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11704\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-519.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 519\" width=\"76\" height=\"71\" \/><\/p>\n<p>Answer:<br \/>\nFirst, add 653 from 217 and then use the inverse operation to check the solution.<br \/>\n653<br \/>\n<span style=\"text-decoration: underline;\">+217<\/span><br \/>\n870<br \/>\nUse the inverse operation to check the solution<br \/>\n870<br \/>\n<span style=\"text-decoration: underline;\">-217<\/span><br \/>\n653<br \/>\nSo, the answer is reasonable.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11705\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-520.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 520\" width=\"72\" height=\"65\" \/><\/p>\n<p>Answer:<br \/>\nFirst, subtract 294 from 156 and then use the inverse operation to check the solution.<br \/>\n294<br \/>\n<span style=\"text-decoration: underline;\">-156<\/span><br \/>\n138<br \/>\nUse the inverse operation to check the solution<br \/>\n138<br \/>\n<span style=\"text-decoration: underline;\">+156<\/span><br \/>\n294<br \/>\nSo, the answer is reasonable.<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11706\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-521.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 521\" width=\"75\" height=\"65\" \/><\/p>\n<p>Answer:<br \/>\nFirst, add 475 from 438 and then use the inverse operation to check the solution.<br \/>\n475<br \/>\n<span style=\"text-decoration: underline;\">+438<\/span><br \/>\n913<br \/>\nUse the inverse operation to check the solution<br \/>\n913<br \/>\n<span style=\"text-decoration: underline;\">-438<\/span><br \/>\n475<br \/>\nSo, the answer is reasonable.<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11707\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-522.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 522\" width=\"72\" height=\"66\" \/><\/p>\n<p>Answer:<br \/>\nFirst, subtract 514 from 386 and then use the inverse operation to check the solution.<br \/>\n514<br \/>\n<span style=\"text-decoration: underline;\">-386<\/span><br \/>\n128<br \/>\nUse the inverse operation to check the solution<br \/>\n128<br \/>\n<span style=\"text-decoration: underline;\">+386<\/span><br \/>\n514<br \/>\nSo, the answer is reasonable.<\/p>\n<p>Question 13.<br \/>\nWhich one Doesn&#8217;t Belong? Which equation does not belong with the other three?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11708\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-523.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 523\" width=\"357\" height=\"79\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-523.png 357w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-523-300x66.png 300w\" sizes=\"(max-width: 357px) 100vw, 357px\" \/><\/p>\n<p>Answer:<br \/>\nThe fourth equation does not belong with the other three. Because it is not using the inverse operation of addition and subtraction.<\/p>\n<p>Question 14.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nWrite a subtraction equation that has a difference of 381.<\/p>\n<p>Answer: 901 &#8211; 520 = 381<br \/>\nTake the number on your own and write the subtraction equation with the difference of 381.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>A kayak costs $321. A customer pays $196 for the kayak after using a gift card. How much money is the gift card worth?<br \/>\nThe gift card is worth $___.<br \/>\nCheck:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11709\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-524.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 524\" width=\"325\" height=\"167\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-524.png 325w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-524-300x154.png 300w\" sizes=\"(max-width: 325px) 100vw, 325px\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA kayak costs $321. A customer pays $196 for the kayak after using a gift card.<br \/>\n321 &#8211; 196 = 125<br \/>\nThus the gift card worth $125.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 15.<br \/>\nYou print 600 flyers for an event. You hand out some of them. There are 237 left. How many flyers did you hand out?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou print 600 flyers for an event. You hand out some of them. There are 237 left.<br \/>\n600 &#8211; 237 = 363<br \/>\nThus you hand out 363 flyers.<br \/>\n363 + 237 = 600<\/p>\n<p>Question 16.<br \/>\nA building has 163 floors. You start on the 28th floor. You go up in the elevator 126 floors. Then you go down 145 floors. On which floor do you end?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA building has 163 floors. You start on the 28th floor. You go up in the elevator 126 floors. Then you go down 145 floors.<br \/>\n126 &#8211; 28 = 98 floors<br \/>\n145 &#8211; 98 = 47<br \/>\nThus you end at 47th floor.<\/p>\n<p>Question 17.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA bus travels from Boston to Washington, D.C. On the way back, the bus stops in New York City. How many miles has the bus traveled in all? How many miles does the bus have left to travel?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11710\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-525.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 525\" width=\"220\" height=\"176\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA bus travels from Boston to Washington, D.C. On the way back, the bus stops in New York City.<br \/>\nWe have to find How many miles has the bus traveled in all<br \/>\n441 + 225 = 666 miles<br \/>\nThus a bus travels 666 miles.<br \/>\n666 &#8211; 225 = 441 miles<\/p>\n<h3><a id=\"Relate_Addition_and_Subtraction_Homework_&amp;_Practice_8.10\"><\/a>Relate Addition and Subtraction Homework &amp; Practice 8.10<\/h3>\n<p>Find the sum or difference. Use the inverse operation to check.<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11711\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-526.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 526\" width=\"267\" height=\"111\" \/><\/p>\n<p>Answer:<br \/>\n931<br \/>\n<span style=\"text-decoration: underline;\">-544<\/span><br \/>\n387<br \/>\nNow you have to do the inverse operation.<br \/>\n387<br \/>\n<span style=\"text-decoration: underline;\">+544<\/span><br \/>\n931<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11712\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-527.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 527\" width=\"272\" height=\"113\" \/><\/p>\n<p>Answer:<br \/>\n623<br \/>\n<span style=\"text-decoration: underline;\">+285<\/span><br \/>\n908<br \/>\nNow you have to do the inverse operation.<br \/>\n908<br \/>\n<span style=\"text-decoration: underline;\">-285<\/span><br \/>\n623<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11713\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-528.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 528\" width=\"80\" height=\"69\" \/><\/p>\n<p>Answer:<br \/>\n523<br \/>\n<span style=\"text-decoration: underline;\">+237<\/span><br \/>\n760<br \/>\nNow you have to do the inverse operation.<br \/>\n760<br \/>\n<span style=\"text-decoration: underline;\">-237<\/span><br \/>\n523<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11714\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-529.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 529\" width=\"80\" height=\"68\" \/><\/p>\n<p>Answer:<br \/>\n403<br \/>\n<span style=\"text-decoration: underline;\">-252<\/span><br \/>\n151<br \/>\nNow you have to do the inverse operation.<br \/>\n151<br \/>\n<span style=\"text-decoration: underline;\">+252<\/span><br \/>\n403<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11715\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-530.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 530\" width=\"86\" height=\"78\" \/><\/p>\n<p>Answer:<br \/>\n612<br \/>\n<span style=\"text-decoration: underline;\">+387<\/span><br \/>\n999<br \/>\nNow you have to do the inverse operation.<br \/>\n999<br \/>\n<span style=\"text-decoration: underline;\">-387<\/span><br \/>\n612<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11716\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-531.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 531\" width=\"79\" height=\"68\" \/><\/p>\n<p>Answer:<br \/>\n511<br \/>\n<span style=\"text-decoration: underline;\">-371<\/span><br \/>\n140<br \/>\nNow you have to do the inverse operation.<br \/>\n140<br \/>\n<span style=\"text-decoration: underline;\">+371<\/span><br \/>\n511<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11717\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-532.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 532\" width=\"78\" height=\"68\" \/><\/p>\n<p>Answer:<br \/>\n437<br \/>\n<span style=\"text-decoration: underline;\">+156<\/span><br \/>\n593<br \/>\nNow you have to do the inverse operation.<br \/>\n593<br \/>\n<span style=\"text-decoration: underline;\">-156<\/span><br \/>\n437<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11718\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-533.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 533\" width=\"91\" height=\"72\" \/><\/p>\n<p>Answer:<br \/>\n726<br \/>\n<span style=\"text-decoration: underline;\">-362<\/span><br \/>\n364<br \/>\nNow you have to do the inverse operation.<br \/>\n364<br \/>\n<span style=\"text-decoration: underline;\">+362<\/span><br \/>\n726<\/p>\n<p>Question 9.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend uses an inverse operation to check her answer. Is your friend correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11888\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-510.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 510\" width=\"163\" height=\"105\" \/><\/p>\n<p>Answer:<br \/>\nNo, your friend is incorrect.<br \/>\n380<br \/>\n<span style=\"text-decoration: underline;\">-159<\/span><br \/>\n221<br \/>\nNow you have to do the inverse operation.<br \/>\n221<br \/>\n<span style=\"text-decoration: underline;\">+159<\/span><br \/>\n380<\/p>\n<p>Question 10.<br \/>\nWhich One Doesn\u2019t Belong? Which does not belong with the other three?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11720\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-535.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 535\" width=\"477\" height=\"148\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-535.png 477w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-535-300x93.png 300w\" sizes=\"(max-width: 477px) 100vw, 477px\" \/><\/p>\n<p>Answer:<br \/>\n208 + 475 = 683<br \/>\nNow you have to do the inverse operation.<br \/>\n683 &#8211; 475 = 208<br \/>\nThe second figure does not belong to the other three expressions.<\/p>\n<p>Question 11.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA telescope costs $169. A customer pays $119 for the telescope after using a gift card. How much money is the gift card worth?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA telescope costs $169. A customer pays $119 for the telescope after using a gift card.<br \/>\n169<br \/>\n<span style=\"text-decoration: underline;\">-119<\/span><br \/>\n50<br \/>\nThe cost of the gift card is $50.<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA train travels from Dallas to San Antonio. On the way back, the train stops in Austin. How many miles has the train travel? How many miles does the train have left to travel?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11721\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-536.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 536\" width=\"230\" height=\"158\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA train travels from Dallas to San Antonio. On the way back, the train stops in Austin.<br \/>\n274 &#8211; 79 = 195 miles<br \/>\nThe train has traveled 195 miles.<br \/>\n79 miles left to travel from Austin to San Antonio.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 13.<br \/>\nUse the Distributive Propertyto\ufb01nd the area of the rectangle.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11722\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-537.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 537\" width=\"579\" height=\"183\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-537.png 579w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-537-300x95.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><\/p>\n<p>Answer:<br \/>\n4 \u00d7 8 = 4 \u00d7 (4 + 4)<br \/>\n4 \u00d7 8 = (4 \u00d7 4) + (4 \u00d7 4)<br \/>\n4 \u00d7 8 = 16 +16<br \/>\n4 \u00d7 8 = 32<br \/>\nThus the area of the rectangle = 32 square foot.<\/p>\n<h3><a id=\"Lesson_8.11_Problem_Solving:_Addition_and_Subtraction\"><\/a>Lesson 8.11 Problem Solving: Addition and Subtraction<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>You read 150 pages in three weeks.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11723\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-538.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 538\" width=\"286\" height=\"153\" \/><\/p>\n<p>what does p represent?<br \/>\np = ___<\/p>\n<p>Answer:<br \/>\nLet 9 be the number of pages read<br \/>\n56 + 47 + p = 150<br \/>\n103 + p = 150<br \/>\np = 150 &#8211; 103<br \/>\np = 47<\/p>\n<p><strong>Construct Arguments<\/strong><br \/>\nExplain to your partner how to find what n represents.<br \/>\n250 + n = 580<\/p>\n<p>Answer:<br \/>\nGiven the expression 250 + n = 580<br \/>\nn = 580 &#8211; 250<br \/>\nn = 330<\/p>\n<p><strong>Think and Grow: Using the Problem-Solving Plan<\/strong><br \/>\n<strong>Example<\/strong><br \/>\nNewton has 368 baseball cards. He gives away 139 of them. He buys 26 more. How many cards does he have now?<\/p>\n<p><strong>Understand the Problem<\/strong><\/p>\n<ul>\n<li>Newton has ___ cards.<\/li>\n<li>He gives away of them.<\/li>\n<li>He buys ___ more.<\/li>\n<li>You need to find how many ___ he has now.<\/li>\n<\/ul>\n<p>Answer:<\/p>\n<ul>\n<li>Newton has <span style=\"text-decoration: underline;\">368<\/span> cards.<\/li>\n<li>He gives away of them.<\/li>\n<li>He buys <span style=\"text-decoration: underline;\">26<\/span>\u00a0more.<\/li>\n<li>You need to find how many <span style=\"text-decoration: underline;\">cards<\/span> he has now.<\/li>\n<\/ul>\n<p><strong>Make a Plan<\/strong><\/p>\n<p>How will you solve?<\/p>\n<ul>\n<li>Subtract ___ from ___ to find how many ___ he has left after he gives some away.<\/li>\n<li>Then add ___ to the difference to find how many he has now.<\/li>\n<\/ul>\n<p>Answer:<\/p>\n<ul>\n<li>Subtract <u>139 <\/u>from <span style=\"text-decoration: underline;\">368<\/span> to find how many <span style=\"text-decoration: underline;\">cards<\/span> he has left after he gives some away.<\/li>\n<li>Then add <span style=\"text-decoration: underline;\">26<\/span> to the difference to find how many he has now.<\/li>\n<\/ul>\n<p><strong>Solve<\/strong><br \/>\nDraw a part-part-whole model and write an equation.<br \/>\nUse a letter to represent the unknown number.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11724\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-539.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 539\" width=\"562\" height=\"275\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-539.png 562w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-539-300x147.png 300w\" sizes=\"(max-width: 562px) 100vw, 562px\" \/><\/p>\n<p>Newton has __ cards now.<\/p>\n<p>Answer:<br \/>\nStep 1:<br \/>\nc is the unknown difference.<br \/>\n368 &#8211; 139 = c<br \/>\nc = 229<br \/>\nStep 2:<br \/>\nc = 229<br \/>\n229 + 26 = n<br \/>\nn = 225<br \/>\nThus the unknown sum is 225.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nExplain how you can check whether your answer above is reasonable.<\/p>\n<p>Answer:<br \/>\nYou can check the answer by using addition and subtraction.<br \/>\n368<br \/>\n<span style=\"text-decoration: underline;\">-139<\/span><br \/>\n229<br \/>\nNow check whether the answer is correct or not.<br \/>\n229<br \/>\n<span style=\"text-decoration: underline;\">+139<\/span><br \/>\n368<br \/>\nSo, the answer is reasonable.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Write equations to solve. Use letters to represent the unknown numbers. Check whether your answer is reasonable.<\/p>\n<p>Question 2.<br \/>\nA baker makes 476 muffins. He sells 218 of them. Then he makes 390 more. How many muffins does the baker have now?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA baker makes 476 muffins. He sells 218 of them.<br \/>\n476<br \/>\n<span style=\"text-decoration: underline;\">-218<\/span><br \/>\n258<br \/>\nThen he makes 390 more.<br \/>\n390<br \/>\n<span style=\"text-decoration: underline;\">+258<\/span><br \/>\n648<br \/>\nThus the baker has 348 muffins now.<\/p>\n<p>Question 3.<br \/>\nNewton knocks down 146 pins in his first bowling game. He knocks down 19 more pins in his second game than in his first game. How many pins does he knock down in all?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nNewton knocks down 146 pins in his first bowling game. He knocks down 19 more pins in his second game than in his first game.<br \/>\n146<br \/>\n<span style=\"text-decoration: underline;\">+19<\/span><br \/>\n165<br \/>\nHe knocks down 165 pins in his second game.<br \/>\nTo find the total number of pins we have to the points in the first game and second game.<br \/>\n146<br \/>\n<span style=\"text-decoration: underline;\">+165<\/span><br \/>\n311<br \/>\nThus he knockdowns 311 pins in all.<\/p>\n<p>Question 4.<br \/>\nYou are traveling to a campground that is 243 miles away. You travel 155 miles in the morning and 59 miles in the afternoon. How many more miles do you need to travel before you get to the campground?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nYou are traveling to a campground that is 243 miles away.<br \/>\nYou travel 155 miles in the morning and 59 miles in the afternoon.<br \/>\n155<br \/>\n<span style=\"text-decoration: underline;\">+59<\/span><br \/>\n214<br \/>\n243<br \/>\n<span style=\"text-decoration: underline;\">-214<\/span><br \/>\n029<br \/>\nThus you need to travel 29 miles to get to the campground.<\/p>\n<p>Question 5.<br \/>\nThere are 205 lawn tickets and 585 bleacher tickets sold for a concert. There are 680 fewer VIP tickets sold than lawn and bleacher tickets combined. How many VIP tickets are sold?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nThere are 205 lawn tickets and 585 bleacher tickets sold for a concert.<br \/>\n205 + 585 = 790<br \/>\nThere are 680 fewer VIP tickets sold than lawn and bleacher tickets combined.<br \/>\n790<br \/>\n<span style=\"text-decoration: underline;\">-680<\/span><br \/>\n110<br \/>\nThus 110 VIP tickets are sold.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>How many more people went to see the movie on Friday than on Thursday and Saturday combined?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11725\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-542.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 542\" width=\"280\" height=\"184\" \/><br \/>\n<strong>Understand the problem:<\/strong><br \/>\n<strong>Make a plan:<\/strong><br \/>\n<strong>Solve:<\/strong><br \/>\n__ more people went to see the movie on Friday than on Thursday and Saturday combined.<\/p>\n<p>Answer:<br \/>\nThursday &#8211; 346 people<br \/>\nSaturday &#8211; 512 people<br \/>\n346 + 512 = 858 people<br \/>\n897<br \/>\n<span style=\"text-decoration: underline;\">-858<\/span><br \/>\n39<br \/>\n39 more people went to see the movie on Friday than on Thursday and Saturday combined.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 6.<br \/>\nHow many more people used the ferry on Friday than on Saturday and Sunday combined?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11726\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-543.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 543\" width=\"208\" height=\"203\" \/><br \/>\nExplain how you can check whether your answer is reasonable.<\/p>\n<p>Answer:<br \/>\nFriday &#8211; 903 passengers<br \/>\nSaturday &#8211; 624 passengers<br \/>\nSunday &#8211; 255 passengers<br \/>\n624<br \/>\n<span style=\"text-decoration: underline;\">+255<\/span><br \/>\n879<br \/>\nNow subtract 879 from 903.<br \/>\n903<br \/>\n<span style=\"text-decoration: underline;\">-879<\/span><br \/>\n024<\/p>\n<h3><a id=\"Problem Solving: Addition and Subtraction Homework &amp; Practice 8.11\"><\/a>Problem Solving: Addition and Subtraction Homework &amp; Practice 8.11<\/h3>\n<p>Write equations to solve. Use letters to represent the unknown numbers. Check whether your answer is reasonable.<\/p>\n<p>Question 1.<br \/>\nNewton has 387 tokens, and Descartes has 295. They use a total of 461 tokens. How many tokens do they have now?<\/p>\n<p>Answer: 222 tokens<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nNewton has 387 tokens, and Descartes has 295.<br \/>\n387 + 295 = 682<br \/>\nThey use a total of 461 tokens.<br \/>\n682 &#8211; 461 = 222 tokens<br \/>\nThus they have 222 tokens now.<\/p>\n<p>Question 2.<br \/>\nThere are 125-second graders and 118 third graders at a museum. There are 249 more adults than students at the museum. How many adults are at the museum?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nThere are 125-second graders and 118 third graders at a museum.<br \/>\n125 + 118 = 243 graders<br \/>\nThere are 249 more adults than students at the museum.<br \/>\n243 + 249 = 492<br \/>\nTherefore 492 adults are at the museum.<\/p>\n<p>Question 3.<br \/>\nYou received 171 votes in a coloring contest. Your friend received 24 fewer votes than you. How many people voted for you and your friend in all?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYou received 171 votes in a coloring contest. Your friend received 24 fewer votes than you.<br \/>\n171 + 24 = 195 votes<br \/>\nThe number of votes for your friend is 195.<br \/>\n171+ 195 = 366 votes<br \/>\nThus 366 people voted for you and your friend.<\/p>\n<p>Question 4.<br \/>\n<strong>Writing<\/strong><br \/>\nWrite and solve a two-step problem that can be solved using addition or subtraction.<\/p>\n<p>Answer:<br \/>\nYou bought 10 packs of sketches and your friend bought 4 packs less than you. Each pack contains 10 sketches. Find how many sketches you and your friend bought in all.<br \/>\nSol: You bought 10 packs of sketches and your friend bought 4 packs less than you.<br \/>\n10 &#8211; 4 = 6 packs<br \/>\nYour friend bought 6 packs.<br \/>\nEach pack contains 10 sketches.<br \/>\n10 + 6 = 16<br \/>\n16 \u00d7 10 = 160<br \/>\nThus you and your friend bought 160 sketches.<\/p>\n<p>Question 5.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nHow many more fish were caught on Sunday than on Friday and Saturday combined?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11727\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-544.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 544\" width=\"217\" height=\"199\" \/><br \/>\nExplain how you can check whether your answer is reasonable.<\/p>\n<p>Answer:<br \/>\nNumber of fish caught on Friday and Saturday = 127 + 244 = 371<br \/>\nNumber of fish caught on Sunday = 564<br \/>\n564 &#8211; 371 = 193<br \/>\n193 more fish were caught on Sunday than on Friday and Saturday combined.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 6.<br \/>\nUse the multiplication table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-545.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 545\" width=\"209\" height=\"185\" \/><br \/>\nDescribe the pattern in the shaded row and column.<br \/>\nWhat property explains this pattern?<\/p>\n<p>Answer: The pattern shows that it is the multiple of 5.<br \/>\n5 \u00d7 1 = 5<br \/>\n5 \u00d7 2 = 10<br \/>\n5 \u00d7 3 = 15<br \/>\n5 \u00d7 4 = 20<br \/>\n5 \u00d7 5 = 25<\/p>\n<h3><a id=\"Add_and_Subtract_Multi_Digit_Numbers_Performance_Task\"><\/a>Add and Subtract Multi-Digit Numbers Performance Task<\/h3>\n<p>Your school holds a talent show.<\/p>\n<p>Question 1.<br \/>\nYou and your friend hand out programs to guests before the show. You each start with 250 programs. There are 114 programs left. How many programs did you and your friend hand out?<\/p>\n<p>Answer:<br \/>\n250 &#8211; 114 = 136 programs<br \/>\nThus you and your friend hand out 136 programs.<br \/>\n136 + 114 = 250 programs<\/p>\n<p>Question 2.<br \/>\n75 students wait backstage to perform in the show. There are 336 children, 125 adults, and 14 teachers in the audience.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11683\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-216.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 216\" width=\"255\" height=\"184\" \/><br \/>\na. How many people are at the talent show in all? Explain how to use addition properties to find the sum.<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\n75 students wait backstage to perform in the show. There are 336 children, 125 adults, and 14 teachers in the audience.<br \/>\n75 + 336 + 125 + 14 = 550<br \/>\nThus there are 550 people are in the talent show.<\/p>\n<p>b. Four students perform in each of the \ufb01rst 4 acts. How many students still need to perform?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11684\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-217.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 217\" width=\"179\" height=\"276\" \/><\/p>\n<p>Answer: 16 students<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nFour students perform in each of the \ufb01rst 4 acts.<br \/>\n4 \u00d7 4 = 16<br \/>\nThus 16 students need to perform.<\/p>\n<p>c. Each performer is given a juice box backstage. Juice boxes come in packages of 10. How many packages did the teachers buy? How many juice boxes are left?<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nEach performer is given a juice box backstage. Juice boxes come in packages of 10.<br \/>\n1 box &#8211; 10 packages<br \/>\n16 \u00d7 1 = 16 boxes<br \/>\n16 \u00d7 10 = 160 packages<\/p>\n<h3><a id=\"Add_and_Subtract_Multi_Digit_Numbers_activity\"><\/a>Add and Subtract Multi-Digit Numbers Activity<\/h3>\n<p><strong>Three in a Row: Addition and Subtraction<\/strong><\/p>\n<p><strong>Directions:<\/strong><br \/>\n1. Players take turns.<br \/>\n2. On your turn, spin both spinners. Add or subtract the two numbers. Cover the sum or difference.<br \/>\n3. If the sum or difference is already covered, then you lose your turn.<br \/>\n4. The first player to get three counters in a row, horizontally, vertically, or diagonally, wins!<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11685\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-218.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 218\" width=\"611\" height=\"613\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-218.png 611w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-218-300x300.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-218-150x150.png 150w\" sizes=\"(max-width: 611px) 100vw, 611px\" \/><\/p>\n<p>Answer:<br \/>\nSums:<br \/>\n547 + 107 = 654<br \/>\n547 + 338 = 885<br \/>\n547 + 262 = 809<br \/>\nI got the three counters vertically.<\/p>\n<h3><a id=\"Add_and_Subtract_Multi_Digit_Numbers_Chapter_Practice\"><\/a>Add and Subtract Multi-Digit Numbers Chapter Practice<\/h3>\n<p><strong>8.1 Identify Addition Properties<\/strong><\/p>\n<p>Identify the property.<\/p>\n<p>Question 1.<br \/>\n59 + 0 = 59<\/p>\n<p>Answer:<br \/>\nIt shows the Addition Property of Zero. The Addition Property of Zero defines the sum of any number and 0 is that number.<\/p>\n<p>Question 2.<br \/>\n(14 + 32) + 6 = 14 + (32 + 6)<\/p>\n<p>Answer:<br \/>\nIt satisfies the Associative Property of Addition. It is defined as changing the grouping of addends does not change the sum.<\/p>\n<p>Question 3.<br \/>\n27 + 51 = 51 + 27<\/p>\n<p>Answer:<br \/>\nCommutative Property of addition Changing the grouping of addends does not change the sum.<\/p>\n<p>Question 4.<br \/>\nStructure<br \/>\nWhich equations show the Commutative Property of Addition?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11686\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-219.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 219\" width=\"520\" height=\"55\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-219.png 520w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-219-300x32.png 300w\" sizes=\"(max-width: 520px) 100vw, 520px\" \/><\/p>\n<p>Answer:<br \/>\n64 + 12 = 12 + 64 &#8211; Commutative Property of addition changing the grouping of addends does not change the sum.<br \/>\n71 + 0 = 71 &#8211; It shows the Addition Property of Zero. The Addition Property of Zero defines the sum of any number and 0 is that number.<br \/>\n(56 + 21) + 34 = 56 + (21 + 34) &#8211; It satisfies the Associative Property of Addition. It is defined as changing the grouping of addends does not change the sum.<br \/>\n26 + (41 + 4) = 4 + (26 + 41) &#8211; It satisfies the Associative Property of Addition. It is defined as changing the grouping of addends does not change the sum.<\/p>\n<p><strong>8.2 Use Number Lines to Add<\/strong><\/p>\n<p>Question 5.<br \/>\nFind 648 + 37.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11687\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-220.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 220\" width=\"557\" height=\"73\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-220.png 557w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-220-300x39.png 300w\" sizes=\"(max-width: 557px) 100vw, 557px\" \/><\/p>\n<p>Answer:<br \/>\nUse the count on strategy. Start at 648. Count on by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17754\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-220-300x39.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-220\" width=\"300\" height=\"39\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-220-300x39.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-220.jpg 557w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>8.3 Use Mental Math to Add<\/strong><\/p>\n<p>Use mental math to find the sum.<\/p>\n<p>Question 6.<br \/>\n192 + 107 = ___<\/p>\n<p>Answer:<br \/>\nYou can find the sum of 192 and 107 by using mental math strategies.<br \/>\n192 &#8211; 2 = 190<br \/>\n107 + 2 = 109<br \/>\n190<br \/>\n<span style=\"text-decoration: underline;\">+109<\/span><br \/>\n299<\/p>\n<p>Question 7.<br \/>\n676 + 114 = ___<\/p>\n<p>Answer:<br \/>\nYou can find the sum of 676 and 114 by using mental math strategies.<br \/>\n676 + 4 = 680<br \/>\n114 &#8211; 4 = 110<br \/>\n680<br \/>\n<span style=\"text-decoration: underline;\">+110<\/span><br \/>\n790<\/p>\n<p>Question 8.<br \/>\n716 + 279 = ___<\/p>\n<p>Answer:<br \/>\nYou can find the sum of 716 and 279 by using mental math strategies.<br \/>\n716 &#8211; 1 = 715<br \/>\n279 + 1 = 280<br \/>\n715<br \/>\n<span style=\"text-decoration: underline;\">+280<\/span><br \/>\n995<\/p>\n<p>Question 9.<br \/>\n501 + 468 = ___<\/p>\n<p>Answer:<br \/>\nYou can find the sum of 501 and 468 by using mental math strategies.<br \/>\n501 &#8211; 1 = 500<br \/>\n468 + 1 = 469<br \/>\n500<br \/>\n<span style=\"text-decoration: underline;\">+469<\/span><br \/>\n969<\/p>\n<p>Question 10.<br \/>\n527 + 343 = ___<\/p>\n<p>Answer:<br \/>\nYou can find the sum of 527 and 343 by using mental math strategies.<br \/>\n527 + 3 = 530<br \/>\n343 &#8211; 3 = 340<br \/>\n530<br \/>\n<span style=\"text-decoration: underline;\">+340<\/span><br \/>\n870<\/p>\n<p>Question 11.<br \/>\n441 + 189 = ___<\/p>\n<p>Answer:<br \/>\nYou can find the sum of 441 and 189 by using mental math strategies.<br \/>\n441 &#8211; 1 = 440<br \/>\n189 + 1 = 190<br \/>\n440<br \/>\n<span style=\"text-decoration: underline;\">+190<\/span><br \/>\n630<\/p>\n<p><strong>8.4 Use Partial Sums to Add<\/strong><\/p>\n<p>Use partial sums to add.<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11688\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-221.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 221\" width=\"68\" height=\"51\" \/><\/p>\n<p>Answer:<br \/>\n586 = 500 + 80 + 6<br \/>\n<span style=\"text-decoration: underline;\">107 = 100 + 00 + 7<\/span><br \/>\n693 = 600 + 80 + 13<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11689\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-222.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 222\" width=\"67\" height=\"74\" \/><\/p>\n<p>Answer:<br \/>\n647 = 600 + 40 + 7<br \/>\n<span style=\"text-decoration: underline;\">293 = 200 + 90 + 3<\/span><br \/>\n940 = 800 + 130 + 10<\/p>\n<p>Question 14.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nOn Earth, your cousin weighs 207 pounds less than he would on Jupiter. Your cousin weighs 135 pounds on Earth. How much would he weigh on Jupiter?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11690\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-223.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 223\" width=\"95\" height=\"92\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nOn Earth, your cousin weighs 207 pounds less than he would on Jupiter. Your cousin weighs 135 pounds on Earth.<br \/>\n207 + 135 = 342<br \/>\nThus your cousin would weigh 342 pounds on Jupiter.<\/p>\n<p><strong>8.5 Add Three-Digit Numbers<\/strong><\/p>\n<p>Find the sum. Check whether your answer is reasonable.<\/p>\n<p>Question 15.<br \/>\nEstimate: ___<br \/>\n326 + 490 = ___<\/p>\n<p>Answer:<br \/>\nStep 1: Estimate. Round each addend to the nearest hundred.<br \/>\n326 = 300<br \/>\n490 = 500<br \/>\n300 + 500 = 800<br \/>\nThe sum is about 800.<br \/>\nStep 2: Find the sum. Add the ones, tens, then the hundreds.<br \/>\n326<br \/>\n<span style=\"text-decoration: underline;\">+490<\/span><br \/>\n816<br \/>\n816 is close to 800. So, the answer is reasonable.<\/p>\n<p>Question 16.<br \/>\nEstimate: ___<br \/>\n657 + 189 = ___<\/p>\n<p>Answer:<br \/>\nStep 1: Estimate. Round each addend to the nearest hundred.<br \/>\n657 = 700<br \/>\n189 = 200<br \/>\n600 + 200 = 800<br \/>\nThe sum is about 800.<br \/>\nStep 2: Find the sum. Add the ones, tens, then the hundreds.<br \/>\n657 + 189 = 846<br \/>\n846 is close to 800. So, the answer is reasonable.<\/p>\n<p>Question 17.<br \/>\nEstimate: ___<br \/>\n543 + 261 = ___<\/p>\n<p>Answer:<br \/>\nStep 1: Estimate. Round each addend to the nearest hundred.<br \/>\n543 = 500<br \/>\n261 = 300<br \/>\n500 + 300 = 800<br \/>\nThe sum is about 800.<br \/>\nStep 2: Find the sum. Add the ones, tens, then the hundreds.<br \/>\n543 + 261 = 804<br \/>\n804 is close to 800. So, the answer is reasonable.<\/p>\n<p><strong>8.6 Add Three or More Numbers<\/strong><\/p>\n<p>Question 18.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11691\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-224.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 224\" width=\"73\" height=\"87\" \/><\/p>\n<p>Answer:<br \/>\nStep 1: Estimate. Round each addend to the nearest hundred.<br \/>\n78 = 100<br \/>\n433 = 400<br \/>\n367 = 400<br \/>\n100 + 400 + 400 = 900<br \/>\nThe sum is about 900.<\/p>\n<p>Question 19.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11692\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-225.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 225\" width=\"103\" height=\"107\" \/><\/p>\n<p>Answer:<br \/>\nStep 1: Estimate. Round each addend to the nearest hundred.<br \/>\n194 = 200<br \/>\n151 = 200<br \/>\n244 = 200<br \/>\n231 = 200<br \/>\n200 + 200 + 200 + 200 = 800<br \/>\nThe sum is about 800.<\/p>\n<p>Question 20.<br \/>\nEstimate: ___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11693\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-226.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 226\" width=\"85\" height=\"112\" \/><\/p>\n<p>Answer:<br \/>\nStep 1: Estimate. Round each addend to the nearest hundred.<br \/>\n373 = 400<br \/>\n329 = 300<br \/>\n118 = 100<br \/>\n61 = 100<br \/>\n400 + 300 + 100 + 100 = 900<br \/>\nThe sum is about 900.<\/p>\n<p><strong>8.7 Use Number Lines to Subtract<\/strong><\/p>\n<p>Question 21.<br \/>\nFind 856 &#8211; 29.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11889\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-511.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 511\" width=\"491\" height=\"83\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-511.png 491w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-511-300x51.png 300w\" sizes=\"(max-width: 491px) 100vw, 491px\" \/><\/p>\n<p>Answer:<br \/>\nUse the count back strategy. Start at 856. Count back by tens, then by ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17759\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-511-300x51.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-511\" width=\"300\" height=\"51\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-511-300x51.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-511.jpg 491w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 22.<br \/>\nStructure<br \/>\nWrite the equation shown by the number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11890\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-512.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 512\" width=\"295\" height=\"140\" \/><\/p>\n<p>Answer:<br \/>\nBy seeing the above number we can find the subtraction equation.<br \/>\n764 &#8211; 50 = 714<br \/>\n714 &#8211; 4 = 710<br \/>\n710 &#8211; 3 = 707<br \/>\nThe subtraction equation is 764 &#8211; 57 = 707<\/p>\n<p><strong>8.8 Use Mental Math to Subtract<\/strong><\/p>\n<p>Use mental math to find the difference.<\/p>\n<p>Question 23.<br \/>\n957 &#8211; 619 = ___<\/p>\n<p>Answer:<br \/>\n957 &#8211; 7 = 950<br \/>\n619 + 7 = 626<br \/>\n950<br \/>\n<span style=\"text-decoration: underline;\">-626<\/span><br \/>\n324<br \/>\nThe difference is 324.<\/p>\n<p>Question 24.<br \/>\n831 &#8211; 415 = ___<\/p>\n<p>Answer:<br \/>\n831 &#8211; 1 = 830<br \/>\n415 + 1 = 416<br \/>\n830<br \/>\n<span style=\"text-decoration: underline;\">-416<\/span><br \/>\n414<br \/>\nThe difference is 414.<\/p>\n<p>Question 25.<br \/>\n876 &#8211; 366 = ___<\/p>\n<p>Answer:<br \/>\n876 &#8211; 6 = 870<br \/>\n366 + 6 = 372<br \/>\n870 &#8211; 372 = 498<\/p>\n<p>Question 26.<br \/>\n636 &#8211; 317 = ___<\/p>\n<p>Answer:<br \/>\n636 + 6 = 642<br \/>\n317 &#8211; 6 = 311<br \/>\n642 &#8211; 311 = 331<br \/>\nThe difference is 331.<\/p>\n<p>Question 27.<br \/>\n965 &#8211; 528 = ___<\/p>\n<p>Answer:<br \/>\n528 &#8211; 8 = 520<br \/>\n965 + 8 = 973<br \/>\n973 &#8211; 520 = 453<br \/>\nThe difference is 453.<\/p>\n<p>Question 28.<br \/>\n384 &#8211; 118 = ____<\/p>\n<p>Answer:<br \/>\n684 + 4 = 688<br \/>\n118 &#8211; 4 = 114<br \/>\n688 &#8211; 114 = 574<br \/>\nThe difference is 574.<\/p>\n<p><strong>8.9 Subtract Three-Digit Numbers<\/strong><\/p>\n<p>Find the difference. Check whether your answer is reasonable.<\/p>\n<p>Question 29.<br \/>\nEstimate: ___<br \/>\n963 &#8211; 51 = ___<\/p>\n<p>Answer:<br \/>\nStep 1: Estimate. Round each number to the nearest hundred.<br \/>\n963 = 1000<br \/>\n51 = 100<br \/>\n1000 &#8211; 100 = 900<br \/>\nStep 2: Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n963 -51 = 912<br \/>\n912 is close to 900. So, the answer is reasonable.<\/p>\n<p>Question 30.<br \/>\nEstimate: ___<br \/>\n878 &#8211; 594 = ___<\/p>\n<p>Answer:<br \/>\nStep 1: Estimate. Round each number to the nearest hundred.<br \/>\n878 = 900<br \/>\n594 = 600<br \/>\n900 &#8211; 600 = 300<br \/>\nStep 2: Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n878 &#8211; 594 = 284<br \/>\n284 is close to 300. So, the answer is reasonable.<\/p>\n<p>Question 31.<br \/>\nEstimate: ___<br \/>\n766 &#8211; 297 = ___<\/p>\n<p>Answer:<br \/>\nStep 1: Estimate. Round each number to the nearest hundred.<br \/>\n766 = 800<br \/>\n297 = 300<br \/>\n800 &#8211; 300 = 500<br \/>\nStep 2: Find the difference.<br \/>\nSubtract the ones, then the tens, then the hundreds. There are not enough ones or tens to subtract, so regroup.<br \/>\n766 &#8211; 297 = 469<br \/>\n469 is close to 500. So, the answer is reasonable.<\/p>\n<p>Question 32.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend \ufb01nds 760 &#8211; 482. Is your friend correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11891\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-513.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 513\" width=\"126\" height=\"96\" \/><\/p>\n<p>Answer: No your friend is not correct.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17760\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Answer-Key-for-Grade-3-Chapter-8-img-13-133x300.jpg\" alt=\"BIM Answer Key for Grade 3 Chapter 8 img-13\" width=\"133\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Answer-Key-for-Grade-3-Chapter-8-img-13-133x300.jpg 133w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Answer-Key-for-Grade-3-Chapter-8-img-13-454x1024.jpg 454w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Answer-Key-for-Grade-3-Chapter-8-img-13-768x1733.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Answer-Key-for-Grade-3-Chapter-8-img-13-681x1536.jpg 681w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Answer-Key-for-Grade-3-Chapter-8-img-13.jpg 810w\" sizes=\"(max-width: 133px) 100vw, 133px\" \/><\/p>\n<p><strong>8.10 Relate Addition and Subtraction<\/strong><\/p>\n<p>Find the sum or difference. Use the inverse operation to check.<\/p>\n<p>Question 33.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11892\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-514.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 514\" width=\"64\" height=\"54\" \/><\/p>\n<p>Answer:<br \/>\n649<br \/>\n<span style=\"text-decoration: underline;\">+227<\/span><br \/>\n876<br \/>\nNow you have to do the inverse operation of the sum.<br \/>\n876<br \/>\n<span style=\"text-decoration: underline;\">-227<\/span><br \/>\n649<\/p>\n<p>Question 34.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11893\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-515.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 515\" width=\"68\" height=\"57\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11893\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-515.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 515\" width=\"68\" height=\"57\" \/><br \/>\n288<br \/>\nNow you have to do the inverse operation of the difference.<br \/>\n288<br \/>\n<span style=\"text-decoration: underline;\">+517<\/span><br \/>\n805<\/p>\n<p><strong>8.11 Problem Solving: Addition and Subtraction<\/strong><\/p>\n<p>Question 35.<br \/>\nThere are 532 dogs enrolled in police academies. 246 dogs graduate in July, and 187 dogs graduate in August. How many dogs still need to graduate?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11894\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-516.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 516\" width=\"195\" height=\"176\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nThere are 532 dogs enrolled in police academies.<br \/>\n246 dogs graduate in July, and 187 dogs graduate in August.<br \/>\n246 + 187 = 433<br \/>\n532<br \/>\n<span style=\"text-decoration: underline;\">-433<\/span><br \/>\n99<br \/>\nThus 99 dogs are still needed to graduate.<\/p>\n<h3><a id=\"Add_and_Subtract_Multi_Digit_Numbers_Cumulative_Practice_1_8\"><\/a>Add and Subtract Multi-Digit Numbers Cumulative Practice 1 &#8211; 8<\/h3>\n<p>Question 1.<br \/>\nWhich numbers round to 300 when rounded to the nearest hundred?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11895\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-517.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 517\" width=\"497\" height=\"83\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-517.png 497w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-517-300x50.png 300w\" sizes=\"(max-width: 497px) 100vw, 497px\" \/><\/p>\n<p>Answer: The numbers round to 300 when rounded to the nearest hundred is<br \/>\n298, 309, 347<br \/>\nThus the correct answer is the option a, b, c.<\/p>\n<p>Question 2.<br \/>\nYou buy 18 cups of yogurt. The yogurt is sold in packs of 6 cups. How many packs of yogurt do you buy?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11964\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-519.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 519\" width=\"328\" height=\"85\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-519.png 328w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-519-300x78.png 300w\" sizes=\"(max-width: 328px) 100vw, 328px\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYou buy 18 cups of yogurt. The yogurt is sold in packs of 6 cups.<br \/>\n18\/6 = 3 packs<br \/>\nThus the correct answer is option c.<\/p>\n<p>Question 3.<br \/>\nA bedroom \ufb02oor is 9 feet long and 8 feet wide. What is the area of the bedroom \ufb02oor?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11970\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-520.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 520\" width=\"291\" height=\"151\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA bedroom \ufb02oor is 9 feet long and 8 feet wide.<br \/>\nThe area of the rectangle = l \u00d7 w<br \/>\nA = 9ft \u00d7 8ft<br \/>\nA = 72 sq. ft<br \/>\nThus the area of the bedroom \ufb02oor is 72 sq. ft.<\/p>\n<p>Question 4.<br \/>\nYour friend says 458 &#8211; 298 = 160. How can you use inverse operations to check your friend\u2019s answer? Is your friend correct?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12006\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-544.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 544\" width=\"452\" height=\"187\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-544.png 452w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-544-300x124.png 300w\" sizes=\"(max-width: 452px) 100vw, 452px\" \/><\/p>\n<p>Answer:<br \/>\nYour friend says 458 &#8211; 298 = 160.<br \/>\nYour friend is correct.<br \/>\nThe correct answer is option a.<\/p>\n<p>Question 5.<br \/>\nYour friend says she needs (9 \u00d7 3) + (3 \u00d7 9) = 27 \u00d7 27 = 54 tiles to make the design. Why is her thinking incorrect?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12007\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-545.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 545\" width=\"175\" height=\"163\" \/><\/p>\n<p>Answer:<br \/>\nYour friend says she needs (9 \u00d7 3) + (3 \u00d7 9) = 27 \u00d7 27 = 54 tiles to make the design.<br \/>\nHer thinking is incorrect because she needs to add 27 and 27 but she multiplied.<br \/>\n(9 \u00d7 3) + (3 \u00d7 9) = 27 + 27 = 54<\/p>\n<p>Question 6.<br \/>\n<strong>Part A<\/strong><br \/>\nWhat is the least number that can be made with the digits 7, 9, and 8 using each digit only once?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12008\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-546.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 546\" width=\"75\" height=\"71\" \/><br \/>\nYour friend says the greatest number he can make with the digits 7, 9, and 8 using each digit only once is 879. Is he correct? If not, correct his answer. Explain.<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYour friend says the greatest number he can make with the digits 7, 9, and 8 using each digit only once is 879<br \/>\nYour friend is incorrect because the greatest number with the digits 7, 9, and 8 is 987.<\/p>\n<p>Question 7.<br \/>\nWhich equation is shown by the number line?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12009\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-547.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 547\" width=\"569\" height=\"196\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-547.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-547-300x103.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><\/p>\n<p>Answer:<br \/>\nThe count starts from 0.<br \/>\nThe count jumps from 0 and skips for every 3s.<br \/>\n3 \u00d7 7 = 21<br \/>\nThus the correct answer is option c.<\/p>\n<p>Question 8.<br \/>\nFind the sum.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12079\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-548.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 548\" width=\"395\" height=\"100\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-548.png 395w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-548-300x76.png 300w\" sizes=\"(max-width: 395px) 100vw, 395px\" \/><\/p>\n<p>Answer:<br \/>\n548<br \/>\n<span style=\"text-decoration: underline;\">+372<\/span><br \/>\n920<\/p>\n<p>Question 9.<br \/>\nWhich equations show the Associative Property of Addition?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12081\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-549.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 549\" width=\"630\" height=\"101\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-549.png 630w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-549-300x48.png 300w\" sizes=\"(max-width: 630px) 100vw, 630px\" \/><\/p>\n<p>Answer:<br \/>\nAccording to the associative property of addition, the sum of three or more numbers remains the same regardless of how the numbers are grouped.<br \/>\nOptions A and D show the equation for the Associative Property of Addition.<\/p>\n<p>Question 10.<br \/>\nA teacher takes 7 students on a field trip. Each student pays $5. How much money does the teacher collect in all?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12083\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-550.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 550\" width=\"416\" height=\"95\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-550.png 416w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-550-300x69.png 300w\" sizes=\"(max-width: 416px) 100vw, 416px\" \/><\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nA teacher takes 7 students on a field trip. Each student pays$5.<br \/>\n7 \u00d7 $5 = $35<br \/>\nThus the teacher collects $35 in all.<br \/>\nThe correct answer is option c.<\/p>\n<p>Question 11.<br \/>\nWhat is the area of the shape?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12085\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-551.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 551\" width=\"515\" height=\"285\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-551.png 515w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-551-300x166.png 300w\" sizes=\"(max-width: 515px) 100vw, 515px\" \/><\/p>\n<p>Answer:<br \/>\nYou can divide the figure into two parts.<br \/>\nFigure 1:<br \/>\nl = 4m<br \/>\nb = 3m<br \/>\nA = l \u00d7 b<br \/>\nA = 4 \u00d7 3 = 12 sq. m<br \/>\nFigure 2:<br \/>\nl = 8m<br \/>\nb = 3m<br \/>\nA = l \u00d7 b<br \/>\nA = 8 \u00d7 3 = 24 sq. m<br \/>\nAdd the area of both the figures 12 + 24 = 36 sq.m<br \/>\nThus the correct answer is option D.<\/p>\n<p>Question 12.<br \/>\nThere are 459 girls and 552 boys in a school. How many more boys are there than girls?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12088\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-552.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 552\" width=\"409\" height=\"95\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-552.png 409w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-552-300x70.png 300w\" sizes=\"(max-width: 409px) 100vw, 409px\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nThere are 459 girls and 552 boys in school.<br \/>\nSubtract the number of girls from the number of boys.<br \/>\n552<br \/>\n<span style=\"text-decoration: underline;\">-459<\/span><br \/>\n93<br \/>\nThus the correct answer is option b.<\/p>\n<p>Question 13.<br \/>\nLook at the pattern. What rule was used to make the pattern?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12138\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-553.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 553\" width=\"467\" height=\"121\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-553.png 467w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-553-300x78.png 300w\" sizes=\"(max-width: 467px) 100vw, 467px\" \/><\/p>\n<p>Answer:<br \/>\n1, 3, 9, 27 are the multiples of 3.<br \/>\nThus the correct answer is option c.<\/p>\n<p>Question 14.<br \/>\nA smoothie shop sells 368 smoothies in July and 205 smoothies in August. About how many more smoothies did the shop sell in July than in August?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12139\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-554.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 554\" width=\"632\" height=\"281\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-554.png 632w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-554-300x133.png 300w\" sizes=\"(max-width: 632px) 100vw, 632px\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA smoothie shop sells 368 smoothies in July and 205 smoothies in August.<br \/>\n368<br \/>\n<span style=\"text-decoration: underline;\">-205<\/span><br \/>\n163<br \/>\nThus the shop sell 163 smoothies in July than in August.<\/p>\n<p>Question 15.<br \/>\nWhich shape does not have an area of 16 square units?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12140\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-555.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 555\" width=\"552\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-555.png 552w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-555-300x163.png 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><\/p>\n<p>Answer:<br \/>\nThere are 16 counters in the first figure<br \/>\n2 \u00d7 8 = 16<br \/>\nThere are 16 counters in the second figure<br \/>\n4 \u00d7 4 = 16<br \/>\nThere are 15 counters in the third figure<br \/>\n5 \u00d7 3 = 15<br \/>\nThus the correct answer is option c.<\/p>\n<p>Complete the table<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12141\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-556.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 556\" width=\"247\" height=\"177\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16663\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-556.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-556\" width=\"247\" height=\"177\" \/><br \/>\nYou can complete the table by multiplying the rows and columns.<\/p>\n<p>Question 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12142\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-557.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 557\" width=\"245\" height=\"173\" \/><\/p>\n<p>Answer:<br \/>\nYou can complete the table by multiplying the rows and columns.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16665\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-557.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-557\" width=\"245\" height=\"173\" \/><\/p>\n<h3><a id=\"Add_and_Subtract_Multi_Digit_Numbers_Performance_Task_1_8\"><\/a>Add and Subtract Multi-Digit Numbers Steam Performance Task 1-8<\/h3>\n<p>Question 1.<br \/>\nThe carpeting in the third-grade classrooms of an elementary school is being replaced. One roll of carpet covers 100 square yards. The map shows the classrooms that will receive the new carpet.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12187\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-560.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 560\" width=\"396\" height=\"315\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-560.png 396w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-560-300x239.png 300w\" sizes=\"(max-width: 396px) 100vw, 396px\" \/><br \/>\na. Explain two different ways to \ufb01nd the area of Classroom A.<\/p>\n<p>Answer:<br \/>\nYou can find the area of classroom A by using the composite figure.<br \/>\nThe shape of classroom A is square.<br \/>\na = 10 yd<br \/>\nArea of the classroom is a \u00d7 a<br \/>\nA = 10 \u00d7 10 = 100 sq.yd<br \/>\nThus the area of the classroom A is 100 sq. yd<br \/>\nAnother way:<br \/>\nl = 10 yd<br \/>\nw = 3 yd<br \/>\nA = 10 \u00d7 3 = 30 sq. yd<br \/>\nl = 10 yd<br \/>\nA = 8 \u00d7 4 = 32 sq. yd<br \/>\nl = 10 yd<br \/>\nw = 3 yd<br \/>\nA = 10 \u00d7 3 = 30 sq. yd<\/p>\n<p>b. Find the total area of all of the classrooms in square yards.<\/p>\n<p>Answer:<br \/>\nArea of the classroom is a \u00d7 a<br \/>\nA = 10 \u00d7 10 = 100 sq.yd<br \/>\nThus the area of the classroom A is 100 sq. yd<br \/>\nArea of Classroom D = 10 \u00d7 7 = 70 sq.yd<br \/>\nArea of Classroom B = 11 \u00d7 7 = 77 sq.yd<br \/>\nArea of Classroom C = 12 \u00d7 7 = 84 sq. yd, 8 \u00d7 3 = 24 sq.yd<br \/>\nArea of Classroom C = 84 + 24 = 108 sq. yd<br \/>\nTotal area of the classrooms = 100 + 70 + 77 + 108 = 355 sq. yd<\/p>\n<p>c. Estimate the number of rolls of carpet needed for the classrooms. Explain.<\/p>\n<p>Answer:<br \/>\nThere are 4 classrooms. So, the estimated number of rolls of carpet is 4.<\/p>\n<p>d. Find the area of the hallway in square yards. Is there enough carpet for the hallway?<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-12188\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-561.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 561\" width=\"287\" height=\"108\" \/><br \/>\nAnswer:<br \/>\nFirst, divide the hallway into 3 parts.<br \/>\ni. It is in the form of a square.<br \/>\na = 3 yd<br \/>\nA = 3 \u00d7 3 = 9 sq.yd<br \/>\nii. It is in the form of rectangle<br \/>\nA = l \u00d7 b<br \/>\nA = 5 \u00d7 4 = 20 sq.yd<br \/>\niii. It is in the form of rectangle<br \/>\nA = l \u00d7 b<br \/>\nA = 5 \u00d7 3 = 15 sq.yd<br \/>\nThe area of the hallway in square yards = 9 + 20 + 15 = 44 sq.yd<\/p>\n<p>Question 2.<br \/>\nEach school keeps a record of the total number of students in each class and grade.<br \/>\na. Use the number of students in your class to estimate the total number of students in your grade. Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12189\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-562.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 562\" width=\"275\" height=\"194\" \/><\/p>\n<p>Answer:<br \/>\nLet the number of students in your class is 47.<br \/>\nBy this, we can estimate the total number of students in your grade i.e., 50.<br \/>\nThe total number of students in your grade is 50.<\/p>\n<p>b. Use the table to write the number of students in each grade of your school.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-12190\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-563.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers 563\" width=\"266\" height=\"255\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17767\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-563.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-3-Chapter-8-Add-and-Subtract-Multi-Digit-Numbers-563\" width=\"266\" height=\"255\" \/><br \/>\nYou can prepare the table by estimating the number of students in your school.<\/p>\n<p>c. How does your estimate compare to the actual number of students in your grade? Explain.<\/p>\n<p>Answer: You can compare the number of students in the above table with the actual number of students in your grade.<\/p>\n<p>d. What is the total number of students in your school?<\/p>\n<p>Answer:<br \/>\nAdd the number of students of all the grades<br \/>\n40+ 50 + 52 + 47 + 47 + 50 = 286<br \/>\nThus there are 286 students in your school.<\/p>\n<p>e. Write and answer a question using the information from the table above.<\/p>\n<p>Answer:<br \/>\nCompare the number of students in grade 3 with the actual number of students in your school in grade 3?<br \/>\nThe estimated number of students in grade 3 in the above table is 50.<br \/>\nThe actual number of students in your school is 48.<br \/>\n50 &#8211; 48 = 2<\/p>\n<p>f. What is one reason your principal may want to know the total number of students in your class, grade, or school?<\/p>\n<p>Answer: Shaping a vision of academic success for all students.<\/p>\n<p><em>Conclusion:<\/em><\/p>\n<p>I wish that the information given here regarding Big Ideas Math Answers Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers is helpful for you. This pdf will help to score good marks in the exam. Get the solutions of BIM Book Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers from here. Stay tuned to our page to know the solution and brief explanation for other chapters of grade 3.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Are you searching for the solutions of Big Ideas Math Grade 3 Chapter 8 Add and Subtract Multi-Digit Numbers questions? If yes, then you are at the correct place. We are giving the solution and explanation for each and every question mentioned at BIM 3rd Grade 8th Chapter Add and Subtract Multi-Digit Numbers Book. 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