{"id":1387,"date":"2022-03-28T14:34:00","date_gmt":"2022-03-28T09:04:00","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=1387"},"modified":"2022-04-07T12:39:49","modified_gmt":"2022-04-07T07:09:49","slug":"go-math-grade-4-answer-key-chapter-3-multiply-2-digit-numbers","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-4-answer-key-chapter-3-multiply-2-digit-numbers\/","title":{"rendered":"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers"},"content":{"rendered":"<p>Are you seeing everywhere to find<strong> Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers in pdf<\/strong>? If so, you have stepped onto the right page. On this page, we have compiled a pdf formatted HMH Go Math Grade 4 Chapter 3 Multiply 2-Digit Numbers Answer Key. Take the help of the Go Math Grade 4 Solution Key during your practice sessions and clear your queries. Assess your preparation standards and concentrate on the areas you are flagging.<\/p>\n<h2>Go Math Grade 4 Solution Key Pdf Chapter 3 Multiply 2-Digit Numbers<\/h2>\n<p>With the help of HMH Go Math Grade 4 Answer Key Ch 3, you can learn the easy methods to solve problems. <em><strong>Answer Key for HMH Go Math Grade 4 Chapter 3 Multiply 2-Digit Numbers<\/strong> <\/em>consists of all the questions from practice tests, exercises, assessments tests. You guys are recommended to solve the 4th grade Go Math Answers of Chapter 3 Multiply 2-Digit Numbers regularly &amp; attempt the exams with confidence. The topics covered in the Go Math HMH grade 4 Solutions are designed perfectly &amp; in an understandable way.<\/p>\n<p>Lesson 1: Multiply by Tens<\/p>\n<ul>\n<li><a href=\"#Multiply_by_Tens_\u2013_Page_No._149\">Multiply by Tens \u2013 Page No. 149<\/a><\/li>\n<li><a href=\"#Multiply_by_Tens_Lesson_Check_\u2013_Page_No._150\">Multiply by Tens Lesson Check \u2013 Page No. 150<\/a><\/li>\n<\/ul>\n<p>Lesson 2: Estimate Products<\/p>\n<ul>\n<li><a href=\"#Estimate_Products_-_Page_No._153\">Estimate Products &#8211; Page No. 153<\/a><\/li>\n<li><a href=\"#Estimate_Products_Lesson_Check_-_Page_No._154\">Estimate Products Lesson Check &#8211; Page No. 154<\/a><\/li>\n<li><a href=\"#Estimate_Products_Lesson_Check_1_-_Page_No._155\">Estimate Products Lesson Check 1 &#8211; Page No. 155<\/a><\/li>\n<li><a href=\"#Estimate_Products_Lesson_Check_2_-_Page_No._156\">Estimate Products Lesson Check 2 &#8211; Page No. 156<\/a><\/li>\n<\/ul>\n<p>Lesson 3: Investigate \u2022 Area Models and Partial Products<\/p>\n<ul>\n<li><a href=\"#Area_Models_and_Partial_Products_-_Page_No._159\">Area Models and Partial Products &#8211; Page No. 159<\/a><\/li>\n<li><a href=\"#Area_Models_and_Partial_Products_Lesson_Check_-_Page_No._160\">Area Models and Partial Products Lesson Check &#8211; Page No. 160<\/a><\/li>\n<li><a href=\"#Area_Models_and_Partial_Products_Lesson_Check_1_-_Page_No._161\">Area Models and Partial Products Lesson Check 1 &#8211; Page No. 161<\/a><\/li>\n<li><a href=\"#Area_Models_and_Partial_Products_Lesson_Check_2_-_Page_No._162\">Area Models and Partial Products Lesson Check 2 &#8211; Page No. 162<\/a><\/li>\n<\/ul>\n<p>Lesson 4: Multiply Using Partial Products<\/p>\n<ul>\n<li><a href=\"#Multiply_Using_Partial_Products_-_Page_No._165\">Multiply Using Partial Products &#8211; Page No. 165<\/a><\/li>\n<li><a href=\"#Multiply_Using_Partial_Products_-_Page_No._166\">Multiply Using Partial Products &#8211; Page No. 166<\/a><\/li>\n<li><a href=\"#Multiply_Using_Partial_Products_Lesson_Check_-_167\">Multiply Using Partial Products Lesson Check &#8211; 167<\/a><\/li>\n<li><a href=\"#Multiply_Using_Partial_Products_Lesson_Check_1_-_168\">Multiply Using Partial Products Lesson Check 1 &#8211; 168<\/a><\/li>\n<\/ul>\n<p>Mid-Chapter Checkpoint<\/p>\n<ul>\n<li><a href=\"#Mid-Chapter_Checkpoint_-_Page_No._169\">Mid-Chapter Checkpoint &#8211; Page No. 169<\/a><\/li>\n<li><a href=\"#Mid-Chapter_Checkpoint_Lesson_Check_-_Page_No._170\">Mid-Chapter Checkpoint Lesson Check &#8211; Page No. 170<\/a><\/li>\n<li><a href=\"#Mid-Chapter_Checkpoint_Lesson_Check_1_-_Page_No._173\">Mid-Chapter Checkpoint Lesson Check 1 &#8211; Page No. 173<\/a><\/li>\n<li><a href=\"#Mid-Chapter_Checkpoint_Lesson_Check_2_-_Page_No._174\">Mid-Chapter Checkpoint Lesson Check 2 &#8211; Page No. 174<\/a><\/li>\n<\/ul>\n<p>Lesson 5: Multiply with Regrouping<\/p>\n<ul>\n<li><a href=\"#Multiply_with_Regrouping_-_Page_No._175\">Multiply with Regrouping &#8211; Page No. 175<\/a><\/li>\n<li><a href=\"#Multiply_with_Regrouping_Lesson_Check_-_Page_No._176\">Multiply with Regrouping Lesson Check &#8211; Page No. 176<\/a><\/li>\n<\/ul>\n<p>Lesson 6: Choose a Multiplication Method<\/p>\n<ul>\n<li><a href=\"#Choose_a_Multiplication_Method_-_Page_No._179\">Choose a Multiplication Method &#8211; Page No. 179<\/a><\/li>\n<li><a href=\"#Choose_a_Multiplication_Method_Lesson_Check_-_Page_No._180\">Choose a Multiplication Method Lesson Check &#8211; Page No. 180<\/a><\/li>\n<li><a href=\"#Choose_a_Multiplication_Method_Lesson_Check_1_-_Page_No._181\">Choose a Multiplication Method Lesson Check 1 &#8211; Page No. 181<\/a><\/li>\n<li><a href=\"#Choose_a_Multiplication_Method_Lesson_Check_2_-_Page_No._182\">Choose a Multiplication Method Lesson Check 2 &#8211; Page No. 182<\/a><\/li>\n<\/ul>\n<p>Lesson 7: Problem Solving \u2022 Multiply 2-Digit Numbers<\/p>\n<ul>\n<li><a href=\"#Multiply_2-Digit_Numbers_-_Page_No._185\">Multiply 2-Digit Numbers &#8211; Page No. 185<\/a><\/li>\n<li><a href=\"#Multiply_2-Digit_Numbers_Lesson_Check_-_Page_No._186\">Multiply 2-Digit Numbers Lesson Check &#8211; Page No. 186<\/a><\/li>\n<li><a href=\"#Multiply_2-Digit_Numbers_Lesson_Check_1_-_Page_No._187\">Multiply 2-Digit Numbers Lesson Check 1 &#8211; Page No. 187<\/a><\/li>\n<li><a href=\"#Multiply_2-Digit_Numbers_Lesson_Check_2_-_Page_No._188\">Multiply 2-Digit Numbers Lesson Check 2 &#8211; Page No. 188<\/a><\/li>\n<\/ul>\n<p>Review\/Test<\/p>\n<ul>\n<li><a href=\"#Review\/Test_\u2013_Page_No._189\">Review\/Test \u2013 Page No. 189<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._190\">Review\/Test \u2013 Page No. 190<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._191\">Review\/Test \u2013 Page No. 191<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._192\">Review\/Test \u2013 Page No. 192<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._193\">Review\/Test \u2013 Page No. 193<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._194\">Review\/Test \u2013 Page No. 194<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._199\">Review\/Test \u2013 Page No. 199<\/a><\/li>\n<li><a href=\"#Review\/Test_\u2013_Page_No._200\">Review\/Test \u2013 Page No. 200<\/a><\/li>\n<\/ul>\n<h3><a id=\"Multiply_by_Tens_\u2013_Page_No._149\"><\/a>Common Core &#8211; Page No. 149<\/h3>\n<p><strong>Multiply by Tens<\/strong><\/p>\n<p><strong>Choose a method. Then find the product.<\/strong><\/p>\n<p>Question 1.<br \/>\n16 \u00d7 60 = <span style=\"text-decoration: underline;\">960<\/span><br \/>\nUse the halving-and-doubling strategy.<br \/>\nFind half of 16: 16 \u00f7 2 = 8.<br \/>\nMultiply this number by 60: 8 \u00d7 60 = 480<br \/>\nDouble this result: 2 \u00d7 480 = 960<\/p>\n<p>Answer:<br \/>\n960<\/p>\n<p>Explanation:<br \/>\nUse the halving-and-doubling strategy.<br \/>\nFind half of 16: 16 \u00f7 2 = 8.<br \/>\nMultiply this number by 60: 8 \u00d7 60 = 480<br \/>\nDouble this result: 2 \u00d7 480 = 960<\/p>\n<p>Question 2.<br \/>\n80 \u00d7 22 = ______<\/p>\n<p>Answer:<br \/>\n1760<\/p>\n<p>Explanation:<br \/>\nBy using the place value method, Multiply 80 x 22<br \/>\nYou can think of 80 as 8 tens<br \/>\n80 x 22 = (22 x 8) tens<br \/>\n= 176 tens<br \/>\n= 176 x 10 = 1760<br \/>\n80 x 22 = 1760<\/p>\n<p>Question 3.<br \/>\n30 \u00d7 52 = ______<\/p>\n<p>Answer:<br \/>\n1560<\/p>\n<p>Explanation:<br \/>\nUse the Associative Property<br \/>\nYou can think of 30 as 3 x 10<br \/>\n30 x 52 = (3 x 10) x 52<br \/>\n= 3 x (10 x 52)<br \/>\n=\u00a0 3 x 520<br \/>\n= 1560<br \/>\n30 x 52 = 1560<\/p>\n<p>Question 4.<br \/>\n60 \u00d7 20 = ______<\/p>\n<p>Answer:<br \/>\n1200<\/p>\n<p>Explanation:<br \/>\n60 x 20<br \/>\nUse the halving and doubling strategy<br \/>\nhalf of the 60 to make the problem simpler<br \/>\n60\/ 2 = 30<br \/>\nMultiply 30 with 20<br \/>\n30 x 20 = 600<br \/>\nDouble the 600<br \/>\n2 x 600= 1200<br \/>\n60 x 20 = 1200<\/p>\n<p>Question 5.<br \/>\n40 \u00d7 35 = ______<\/p>\n<p>Answer:<br \/>\n1400<\/p>\n<p>Explanation:<br \/>\nBy using the Associative Property 40 x 35<br \/>\nYou can think of 40 as 4 x 10<br \/>\n40 x 35 = (4 x 10) x 35<br \/>\n= 4\u00a0 x (10 x 35)<br \/>\n= 4 x 350<br \/>\n= 1400<br \/>\n40 x 35 = 1400<\/p>\n<p>Question 6.<br \/>\n10 \u00d7 90 = ______<\/p>\n<p>Answer:<br \/>\n900<\/p>\n<p>Explanation:<br \/>\nBy using the place value method, Multiply 10 x 90<br \/>\nYou can think of 90 as 9 tens<br \/>\n10 x 90 = (10 x 9) tens<br \/>\n= 90 tens<br \/>\n= 10 x 90 = 900<\/p>\n<p>Question 7.<br \/>\n31 \u00d7 50 = ______<\/p>\n<p>Answer:<br \/>\n1,550<\/p>\n<p>Explanation:<br \/>\nUse the place value method to multiply 31 x 50<br \/>\nYou can think of 50 as 5 tens<br \/>\n31 x 50 = 31 x 5 tens<br \/>\n= 155 tens<br \/>\n= 1,550<br \/>\n31 x 50 = 1,550<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 8.<br \/>\nKenny bought 20 packs of baseball cards. There are 12 cards in each pack. How many cards did Kenny buy?<br \/>\n______ cards<\/p>\n<p>Answer:<br \/>\n240 cards<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nKenny bought 20 packs of basketball cards<br \/>\nThere are 12 cards in each pack = 12 x 20 cards<br \/>\nUse the associative property<br \/>\nYou can write 20 as 2 x 10<br \/>\n12 x 20 = 12 x (2 x 10)<br \/>\n= (12 x 2) x 10<br \/>\n= (24) x 10<br \/>\n= 240 cards<br \/>\nKenny bought 240 cards<\/p>\n<p>Question 9.<br \/>\nThe Hart family drove 10 hours to their vacation spot. They drove an average of 48 miles each hour. How many miles did they drive in all?<br \/>\n______ miles<\/p>\n<p>Answer:<br \/>\n480 miles<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nHart family drove 10 hours to their vacation spot<br \/>\nAverage speed per each hour is = 48 miles<br \/>\nTotal miles = 48 x 10<br \/>\nUse the halving and doubling strategy<br \/>\nHalf of the 48 to make the problem simpler<br \/>\n48\/ 2 = 24<br \/>\nMultiply 24 with 10 = 24x 10 = 240<br \/>\nDouble the value = 2 x 240 = 480 miles<br \/>\nTotal miles drove by hart family = 480 miles.<\/p>\n<h3><a id=\"Multiply_by_Tens_Lesson_Check_\u2013_Page_No._150\"><\/a>Common Core &#8211; Page No. 150<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nFor the school play, 40 rows of chairs are set up. There are 22 chairs in each row. How many chairs are there in all?<br \/>\nOptions:<br \/>\na. 800<br \/>\nb. 840<br \/>\nc. 880<br \/>\nd. 8,800<\/p>\n<p>Answer:<br \/>\nc. 880<\/p>\n<p>Explanation:<br \/>\nAs per the given data<br \/>\nFor the school play, 40 rows of chairs are available. 22 chairs are available in each row.<br \/>\nThen total chairs in school play are = 22 x 40<br \/>\nBy using the place value method<br \/>\nYou can think of 40 as 4 tens<br \/>\n22 x 40 = 22 x 4 tens<br \/>\n= 88 tens<br \/>\n= 880<br \/>\nTotal chairs in school are = 880<\/p>\n<p>Question 2.<br \/>\nAt West School, there are 20 classrooms. Each classroom has 20 students. How many students are at West School?<br \/>\nOptions:<br \/>\na. 40<br \/>\nb. 400<br \/>\nc. 440<br \/>\nd. 4,000<\/p>\n<p>Answer:<br \/>\nb. 400<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nTotal classrooms in west school = 20<br \/>\nNumber of students per each classroom = 20<br \/>\nThen, total students at West School = 20 x 20<br \/>\nBy using the associative property<br \/>\nYou can think of 20 as 2 x 10<br \/>\n20 x 20 = 20 x (2 x 10)<br \/>\n= (20 x 2) x 10<br \/>\n=(40) x 10<br \/>\n=400<br \/>\nTotal number of students at West School = 400<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nAlex has 48 stickers. This is 6 times the number of stickers Max has. How many stickers does Max have?<br \/>\nOptions:<br \/>\na. 6<br \/>\nb. 7<br \/>\nc. 8<br \/>\nd. 9<\/p>\n<p>Answer:<br \/>\nc. 8<\/p>\n<p>Explanation:<br \/>\nAs per the give data,<br \/>\nAlex has 48 stickers<br \/>\nThat means, X= 48<br \/>\nThis is 6 times the number of stickers max has = Y = 6X = 48<br \/>\nThen, number of stickers with Max = Y = X = 48\/6 = 8<br \/>\nNumber of stickers with Max = Y = 8 Stickers.<\/p>\n<p>Question 4.<br \/>\nAli\u2019s dog weighs 8 times as much as her cat. Together, the two pets weigh 54 pounds. How much does Ali\u2019s dog weigh?<br \/>\nOptions:<br \/>\na. 6 pounds<br \/>\nb. 42 pounds<br \/>\nc. 46 pounds<br \/>\nd. 48 pounds<\/p>\n<p>Answer:<br \/>\nd. 48 pounds<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nAli\u2019s cat weight = X<br \/>\nAli\u2019s dog weight = 8 times as much as Ali\u2019s cat = 8X<br \/>\nTogether, the two pets weight = (X+8X) = 54 pounds<br \/>\n= 9X = 54 pounds<br \/>\n= X = 54\/9 pounds = 6 pounds<br \/>\nThen, Ali\u2019s dog weight = 8X =8 x 6 = 48 pounds.<\/p>\n<p>Question 5.<br \/>\nAllison has 3 containers with 25 crayons in each. She also has 4 boxes of markers with 12 markers in each box. She gives 10 crayons to a friend. How many crayons and markers does Allison have now?<br \/>\nOptions:<br \/>\na. 34<br \/>\nb. 113<br \/>\nc. 123<br \/>\nd. 133<\/p>\n<p>Answer:<br \/>\nb. 113<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nAllison has 3 containers with 25 crayons in each = X = 3 x 25 = 75<br \/>\nAllison has 4 boxes of markers with 12 markers in each box = Y = 4 x 12 = 48<br \/>\nAllison gives 10 crayons to a friend = Z = 75-10 = 65<br \/>\nNow, total number of crayons and markers with Allison = Y + Z = 48 + 65 = 113<\/p>\n<p>Question 6.<br \/>\nThe state of Utah covers 82,144 square miles. The state of Montana covers 145,552 square miles. What is the total area of the two states?<br \/>\nOptions:<br \/>\na. 63,408 square miles<br \/>\nb. 223,408 square miles<br \/>\nc. 227,696 square miles<br \/>\nd. 966,992 square miles<\/p>\n<p>Answer:<br \/>\nc. 227,696 square miles<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nThe state of Utah covers 82,144 square miles<br \/>\nThe state of Montana covers 145,552 square miles<br \/>\nThen, Total area of the two states = 82,144 + 145,552<br \/>\nThe total area of two states = 227,696 square miles.<\/p>\n<h3><a id=\"Estimate_Products_-_Page_No._153\"><\/a>Page No. 153<\/h3>\n<p>Question 1.<br \/>\nTo estimate the product of 62 and 28 by rounding, how would you round the factors? What would the estimated product be?<br \/>\nabout _____<\/p>\n<p>Answer:<br \/>\n1800<\/p>\n<p>Explanation:<br \/>\nBy using rounding and mental math<br \/>\nEstimate 62 x 28<br \/>\nFirstly, round each factor<br \/>\n62 x 28<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n60 x 30<br \/>\nUse mental math<br \/>\n6 x 3 = 18<br \/>\n60 x 30 = 1800<br \/>\nSo, estimated product of 62 and 28 = 1800<\/p>\n<p><strong>Estimate the product. Choose a method.<\/strong><\/p>\n<p>Question 2.<br \/>\n96 \u00d7 34<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n3000<\/p>\n<p>Explanation:<br \/>\nUse mental math and compatible numbers<br \/>\n96 x 34<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n100 x 30<br \/>\nUse mental math<br \/>\n1 x 30 = 30<br \/>\n100 x 30= 3000<\/p>\n<p>Question 3.<br \/>\n47 \u00d7 $39<br \/>\nEstimate: $ _____<\/p>\n<p>Answer:<br \/>\n2000<\/p>\n<p>Explanation:<br \/>\nRound to the nearest ten<br \/>\n47 x $39<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n50 x $40<br \/>\n50 x $ 4 = $200<br \/>\n50 x $40 = 2000<\/p>\n<p>Question 4.<br \/>\n78 \u00d7 72<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n5600<\/p>\n<p>Explanation:<br \/>\nUse rounding and mental math<br \/>\nRound each factor<br \/>\n78 x 72<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n80 x 70<br \/>\nUse mental math<br \/>\n8 x 7 = 56<br \/>\n80 x 70 = 5600<\/p>\n<p>Question 5.<br \/>\n41 \u00d7 78<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n3200<\/p>\n<p>Explanation:<br \/>\nUse compatible numbers and mental math<br \/>\n41 x 78<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n40 x 80<br \/>\nUse mental math<br \/>\n40 x 8 = 320<br \/>\n40 x 80 = 3200<\/p>\n<p>Question 6.<br \/>\n51 \u00d7 73<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n3500<\/p>\n<p>Explanation:<br \/>\nRound to the nearest ten<br \/>\n51 x 73<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n50 x 70 = 3500<\/p>\n<p>Question 7.<br \/>\n34 \u00d7 80<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n2400<\/p>\n<p>Explanation:<br \/>\nRound each factor<br \/>\n34 x 80<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n30 x 80<br \/>\n3 x 8 = 240<br \/>\n30 x 80 = 2400<\/p>\n<p><strong>Practice: Copy and Solve Estimate the product. Choose a method.<\/strong><\/p>\n<p>Question 8.<br \/>\n61 \u00d7 31<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n1800<\/p>\n<p>Explanation:<br \/>\nRound to the nearest ten<br \/>\n61 x 31<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n60 x 30 = 1800<\/p>\n<p>Question 9.<br \/>\n52 \u00d7 68<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n3500<\/p>\n<p>Explanation:<br \/>\nRound each factor<br \/>\n52 x 68<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n50 x 70<br \/>\nUse mental math<br \/>\n5 x 7 =35<br \/>\n50 x 70 = 3500<\/p>\n<p>Question 10.<br \/>\n26 \u00d7 44<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n1200<\/p>\n<p>Explanation:<br \/>\nRound to the nearest tens<br \/>\n26 x 44<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n30 x 40 = 1200<\/p>\n<p>Question 11.<br \/>\n57 \u00d7 $69<br \/>\nEstimate: $ _____<\/p>\n<p>Answer:<br \/>\n$4200<\/p>\n<p>Explanation:<br \/>\nRound each factor<br \/>\n57 x $69<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n60 x $70<br \/>\nUse mental math<br \/>\n6 x $7 = $42<br \/>\n60 x $70 = $4200<\/p>\n<p><strong>Find two possible factors for the estimated product.<\/strong><\/p>\n<p>Question 12.<br \/>\n2,800<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n2800<\/p>\n<p>Explanation:<br \/>\nLet us consider 7 x 4 = 28<br \/>\n70 x 40 = 2800<\/p>\n<p>Question 13.<br \/>\n8,100<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n8,100<\/p>\n<p>Explanation:<br \/>\nLet us take 9 x 9 = 81<br \/>\n90 x 90 = 8,100<\/p>\n<p>Question 14.<br \/>\n5,600<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n5,600<\/p>\n<p>Explanation:<br \/>\nLet us consider 7 x 8 = 56<br \/>\n70 x 80 = 5,600<\/p>\n<p>Question 15.<br \/>\n2,400<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n2,400<\/p>\n<p>Explanation:<br \/>\nLet us take 4 x 6 = 24<br \/>\n40 x 60 = 2400<br \/>\nOr 3 x 8 = 24<br \/>\n30 x 80 = 2,400<\/p>\n<p>Question 16.<br \/>\nMr. Parker jogs for 35 minutes each day. He jogs 5 days in week 1, 6 days in week 2, and 7 days in week 3. About how many minutes does he jog?<br \/>\nabout _____ minutes<\/p>\n<p>Answer:<br \/>\nabout 630 minutes<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nMr. Parker jogs per day = 35 minutes<br \/>\nHe jogs 5 days in week 1 = 5 x 35 = 175 minutes<br \/>\n6 days in week 2 = 6 x 35 = 210 minutes<br \/>\n7 days in week 3 = 7 x 35 = 245 minutes<br \/>\nTotal minutes of jog by Mr. Parker = week 1 + week 2 + week 3<br \/>\n= 175 + 210 + 245<br \/>\n= 630 minutes<br \/>\nSo, total minutes of jog by Mr. Parker = 630 minutes<\/p>\n<p>Question 17.<br \/>\nThere are 48 beads in a package. Candice bought 4 packages of blue, 9 packages of gold, 6 packages of red, and 2 packages of silver beads. About how many beads did Candice buy?<br \/>\nabout _____ beads<\/p>\n<p>Answer:<br \/>\nabout 1008 beads<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\n48 beads are there in a package<br \/>\nCandice bought 4 packages of blue beads = 4 x 48 = 192<br \/>\n9 packages of gold beads = 9 x 48 = 432<br \/>\n6 packages of red beads = 6 x 48 = 288<br \/>\n2 packages of silver beads = 2 x 48 = 96<br \/>\nTotal beads bought by Candice = 192 + 432 + 288 + 96<br \/>\n= 1008 beads<br \/>\nSo, total beads bought by Candice = 1008.<\/p>\n<h3><a id=\"Estimate_Products_Lesson_Check_-_Page_No._154\"><\/a>Page No. 154<\/h3>\n<p>Question 18.<br \/>\nOn average, a refrigerator door is opened 38 times each day. Len has two refrigerators in his house. Based on this average, about how many times in a 3-week period are the refrigerator doors opened?<br \/>\nabout _____ times<\/p>\n<p>Answer:<br \/>\nabout 1600 times<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nOn average, a refrigerator door is opened per day = 38 times<br \/>\n3-week period = 7 x 3 = 21<br \/>\nThen, a refrigerator door is opened per 21 days = 21 x 38 = 798 times<br \/>\nLen has 2 refrigerators in his house<br \/>\nThen, two refrigerators door are opened per 21 days = 2 x 798<br \/>\n= 1596 times<br \/>\nSo, in a 3 \u2013 week period refrigerator door is opened about 1600 times<\/p>\n<p>Question 19.<br \/>\nThe cost to run a refrigerator is about $57 each year. About how much will it have cost to run by the time it is 15 years old?<br \/>\nabout $ _____<\/p>\n<p>Answer:<br \/>\n1200<\/p>\n<p>Explanation:<br \/>\nAs per the data,<br \/>\nThe cost to run a refrigerator per each year = $57<br \/>\nCost to run a refrigerator by the time it is 15 years old = $57 * 15<br \/>\nRound to the nearest tens<br \/>\n$57 x 15<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n$60 x 20<br \/>\nUse mental math<br \/>\n$6 x 2 = 12<br \/>\n$ 60 x 20 = 1200<\/p>\n<p>Question 20.<br \/>\nIf Mel opens his refrigerator door 36 times every day, about how many times will it be opened in April? Will the exact answer be more than or less than the estimate? Explain.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n1200<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nMel opens his refrigerator door per day = 36 times<br \/>\nNumber of days in April month = 30 days<br \/>\nRefrigerator door opened in April month = 36 * 30<br \/>\nRound the factors<br \/>\n36 x 30<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n40 x 30 = 1200<\/p>\n<p>Question 21.<br \/>\nRepresent a Problem What question could you write for this answer? The estimated product of two numbers, that are not multiples of ten, is 2,800.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n2800<\/p>\n<p>Explanation:<br \/>\nLet us take<br \/>\n1.<br \/>\n38 \u00d7 21<br \/>\n\u2193\u00a0 \u00a0 \u00a0 \u00a0 \u2193<br \/>\n40 \u00d7 20 = 800<br \/>\n2,800 = 42 x 68<br \/>\n\u2193\u00a0 \u00a0 \u2193<br \/>\n40 x\u00a0 70 = 2800<\/p>\n<p>Question 22.<br \/>\nWhich is a reasonable estimate for the product? Write the estimate. An estimate may be used more than once.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-1.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 1\" width=\"386\" height=\"64\" \/><br \/>\n26 \u00d7 48 __________<br \/>\n28 \u00d7 21 __________<br \/>\n21 \u00d7 22 __________<br \/>\n51 \u00d7 26 __________<\/p>\n<p>Answer:<br \/>\n25 x 50 = 1250<br \/>\n30 x 20 = 600<br \/>\n20 x 20 = 400<br \/>\n50 x 25 = 1250<\/p>\n<p>Explanation:<br \/>\n26 x 48 -&gt; 25 x 50 = 1250<br \/>\n28 x 21 -&gt; 30 x 20 = 600<br \/>\n21 x 22 -&gt; 20 x 20 = 400<br \/>\n51 x 26 -&gt; 50 x 25 = 1250<\/p>\n<h3><a id=\"Estimate_Products_Lesson_Check_1_-_Page_No._155\"><\/a>Common Core &#8211; Page No. 155<\/h3>\n<p><strong>Estimate Products<\/strong><br \/>\n<strong>Estimate the product. Choose a method.<\/strong><\/p>\n<p>Question 1.<br \/>\n38 \u00d7 21<br \/>\n38 \u00d7 21<br \/>\n\u2193\u00a0 \u00a0 \u00a0 \u00a0\u2193<br \/>\n40 \u00d7 20<br \/>\n<span style=\"text-decoration: underline;\">800<\/span><\/p>\n<p>Answer:<br \/>\n800<\/p>\n<p>Explanation:<br \/>\n38 \u00d7 21<br \/>\n\u2193\u00a0 \u00a0 \u00a0 \u00a0 \u2193<br \/>\n40 \u00d7 20<br \/>\n800<\/p>\n<p>Question 2.<br \/>\n63 \u00d7 19<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n1200<\/p>\n<p>Explanation:<br \/>\n63 x 19<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n60 x 20 = 1200<br \/>\nEstimated product of 63 x 19 = 1200<\/p>\n<p>Question 3.<br \/>\n27 \u00d7 $42<br \/>\nEstimate: $ _____<\/p>\n<p>Answer:<br \/>\n$1000<\/p>\n<p>Explanation:<br \/>\n27 \u00d7 $42<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n25 x $40 = $1000<br \/>\nEstimated Product of 25 x $ 42 = $1000<\/p>\n<p>Question 4.<br \/>\n73 \u00d7 67<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n4900<\/p>\n<p>Explanation:<br \/>\n73 \u00d7 67<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n70 x 70 = 4900<br \/>\nEstimated Product of 73 x 67 = 4900<\/p>\n<p>Question 5.<br \/>\n37 \u00d7 $44<br \/>\nEstimate:$ _____<\/p>\n<p>Answer:<br \/>\n$1600<\/p>\n<p>Explanation:<br \/>\n37 \u00d7 $44<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n40 x $40 = $1600<br \/>\nEstimated Product of 37 x $44 = $1600<\/p>\n<p>Question 6.<br \/>\n85 \u00d7 71<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n6300<\/p>\n<p>Explanation:<br \/>\n85 \u00d7 71<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n90 x 70 = 6300<br \/>\nEstimated Product of 85 x 71 = 6300<\/p>\n<p>Question 7.<br \/>\n88 \u00d7 56<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n4950<\/p>\n<p>Explanation:<br \/>\n88 \u00d7 56<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n90 x 55 = 4950<br \/>\nEstimated Product of 90 x 55 = 4950<\/p>\n<p>Question 8.<br \/>\n97 \u00d7 13<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n1,000<\/p>\n<p>Explanation:<br \/>\n97 \u00d7 13<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n100 x 10 = 1,000<\/p>\n<p>Question 9.<br \/>\n92 \u00d7 64<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n5850<\/p>\n<p>Explanation:<br \/>\n92 \u00d7 64<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n90 x 65 = 5850<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 10.<br \/>\nA dime has a diameter of about 18 millimeters. About how many millimeters long would a row of 34 dimes be?<br \/>\nabout _____ millimeters<\/p>\n<p>Answer:<br \/>\nabout 600 millimeters<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nA dime has a diameter of about 18 millimeters<br \/>\nThen, 34 dimes diameter = 18 * 34<br \/>\n18 x 34<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n20 x 30 = 600<br \/>\nSo, 34 dimes have a diameter of about 600 millimeters long<\/p>\n<p>Question 11.<br \/>\nA half-dollar has a diameter of about 31 millimeters. About how many millimeters long would a row of 56 half-dollars be?<br \/>\nabout _____ millimiters<\/p>\n<p>Answer:<br \/>\n1800 millimeters<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nA half \u2013 dollar has a diameter of about 31 millimeters<br \/>\nThen, 56 half-dollars diameter = 31 * 56<br \/>\n31 * 56<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n30 * 60<br \/>\nSo, 56 half-dollars have a diameter of about 1800 millimeters long.<\/p>\n<h3><a id=\"Estimate_Products_Lesson_Check_2_-_Page_No._156\"><\/a>Common Core &#8211; Page No. 156<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nWhich is the best estimate for the product<br \/>\n43 \u00d7 68?<br \/>\nOptions:<br \/>\na. 3,500<br \/>\nb. 2,800<br \/>\nc. 2,400<br \/>\nd. 280<\/p>\n<p>Answer:<br \/>\nb. 2,800<\/p>\n<p>Explanation:<br \/>\nRound to the nearest tens<br \/>\n43 x 68<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n40 x 70<br \/>\nUse mental math<br \/>\n4 x 7 = 28<br \/>\n40 x 70 = 2800<br \/>\nEstimated product of 43 x 68 = 2800<\/p>\n<p>Question 2.<br \/>\nMarissa burns 93 calories each time she plays fetch with her dog. She plays fetch with her dog once a day. About how many calories will Marissa burn playing fetch with her dog in 28 days?<br \/>\nOptions:<br \/>\na. 4,000<br \/>\nb. 2,700<br \/>\nc. 2,000<br \/>\nd. 270<\/p>\n<p>Answer:<br \/>\nb. 2,700<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nMarissa burned calories each time when she plays fetch with her dog= 93 calories<br \/>\nThen, Marissa burned calories in 28 days while playing fetch with her dog = 28 x 93<br \/>\nRound to the nearest tens<br \/>\n28 x 93<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/>\u00a0 \u00a0 \u00a0 <img loading=\"lazy\" class=\"alignnone wp-image-2728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers.png\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers\" width=\"15\" height=\"46\" \/><br \/>\n30 x 90<br \/>\nThen, estimated burned calories in 28 days by Marissa = 2700 calories<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nUse the model to find 3 \u00d7 126.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-2.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Common Core img 2\" width=\"252\" height=\"90\" \/><br \/>\nOptions:<br \/>\na. 368<br \/>\nb. 378<br \/>\nc. 468<br \/>\nd. 478<\/p>\n<p>Answer:<br \/>\nb. 378<\/p>\n<p>Explanation:<br \/>\nFrom the above Figure,<br \/>\n3 x 126 = 3 x 100 + 3 x 20 + 3 x 6<br \/>\n= 300 + 60 + 18<br \/>\n= 378<br \/>\n3 x 126 = 378<\/p>\n<p>Question 4.<br \/>\nA store sells a certain brand of jeans for $38. One day, the store sold 6 pairs of jeans of that brand. How much money did the store make from selling the 6 pairs of jeans?<br \/>\nOptions:<br \/>\na. $188<br \/>\nb. $228<br \/>\nc. $248<br \/>\nd. $288<\/p>\n<p>Answer:<br \/>\nb. $228<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nA store sells a certain brand of jeans for rupees = $38<br \/>\nOne day, the store sold 6 pairs of jeans of that brand = 6 x $38<br \/>\n6 x $38 = $228<br \/>\nThe total amount of 6 pairs of jeans = $228<\/p>\n<p>Question 5.<br \/>\nThe Gateway Arch in St. Louis, Missouri, weighs about 20,000 tons. Which amount could be the exact number of tons the Arch weighs?<br \/>\nOptions:<br \/>\na. 31,093 tons<br \/>\nb. 25,812 tons<br \/>\nc. 17,246 tons<br \/>\nd. 14,096 tons<\/p>\n<p>Answer:<br \/>\nc. 17,246 tons<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nThe Gateway Arch in St.Louis, Missouri weight = about 20,000 tons<br \/>\nFrom the available options, 17,246 tons is closer to 20,000 tons<br \/>\nThen, the exact number of tons the Arch weighs = 17,246 tons<\/p>\n<p>Question 6.<br \/>\nWhich is another name for 23 ten thousands?<br \/>\nOptions:<br \/>\na. 23,000,000<br \/>\nb. 2,300,000<br \/>\nc. 230,000<br \/>\nd. 23,000<\/p>\n<p>Answer:<br \/>\nc. 230,000<\/p>\n<p>Explanation:<br \/>\nAs per the data,<br \/>\nAnother name for 23 ten thousands = 23 x 10,000<br \/>\n= 230,000<br \/>\nAnother name for 23 ten thousand = 2,30,000<\/p>\n<h3><a id=\"Area_Models_and_Partial_Products_-_Page_No._159\"><\/a>Page No. 159<\/h3>\n<p><strong>Find the product.<\/strong><\/p>\n<p>Question 1.<br \/>\n16 \u00d7 19<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-3.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 3\" width=\"126\" height=\"110\" \/><br \/>\n16 \u00d7 19 = _____<\/p>\n<p>Answer:<br \/>\n304<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-3.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 3\" width=\"126\" height=\"110\" \/><br \/>\n16 x 19 = 304<\/p>\n<p>Question 2.<br \/>\n18 \u00d7 26<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-4.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 4\" width=\"170\" height=\"132\" \/><br \/>\n18 \u00d7 26 = _____<\/p>\n<p>Answer:<br \/>\n468<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2754\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-1.-jpg.jpg\" alt=\"Chapter 3 - Common core - Image 1. jpg\" width=\"202\" height=\"130\" \/><br \/>\n200 + 160 + 60 + 48 = 468<\/p>\n<p>Question 3.<br \/>\n27 \u00d7 39<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-5.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 5\" width=\"218\" height=\"147\" \/><br \/>\n27 \u00d7 39 = ______<\/p>\n<p>Answer:<br \/>\n1,053<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2755\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-image-2.jpg\" alt=\"Chapter 3 - Common core - image 2\" width=\"179\" height=\"143\" \/><br \/>\n600 + 210 + 180 +63 = 1053<\/p>\n<p><strong>Draw a model to represent the product.<\/strong><br \/>\n<strong>Then record the product.<\/strong><\/p>\n<p>Question 4.<br \/>\n14 \u00d7 16 = ______<\/p>\n<p>Answer:<br \/>\n224<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2756\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-3.jpg\" alt=\"Chapter 3 - Common core - Image 3\" width=\"202\" height=\"126\" \/><br \/>\n100 + 40 + 60 + 24 = 224<\/p>\n<p>Question 5.<br \/>\n23 \u00d7 25 = ______<\/p>\n<p>Answer:<br \/>\n575<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2757\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-4.jpg\" alt=\"Chapter 3 - Common core - Image 4\" width=\"216\" height=\"141\" \/><br \/>\n400 + 60 + 100 + 15 = 575<\/p>\n<p>Question 6.<br \/>\nExplain how modeling partial products can be used to find the products of greater numbers.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nYou can use mental math to find the partial products and then find the sum of the partial products.<\/p>\n<p>Explanation:<\/p>\n<p>Question 7.<br \/>\nEmma bought 16 packages of rolls for a party. There were 12 rolls in a package. After the party there were 8 rolls left over. How many rolls were eaten? Explain.<br \/>\n______ rolls<\/p>\n<p>Answer:<br \/>\n184 rolls were eaten<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nEmma bought 16 packages of rolls for a party<br \/>\nThere were 12 rolls in a package<br \/>\nThen, total rolls = 16 x 12 = 192<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2758\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-5.jpg\" alt=\"Chapter 3 - Common core - Image 5\" width=\"212\" height=\"132\" \/><br \/>\n100 + 60 + 20 + 12 =192<br \/>\nAfter the party there were 8 rolls left over<br \/>\nThen, total eaten rolls are = 192 \u2013 8 = 184<\/p>\n<h3><a id=\"Area_Models_and_Partial_Products_Lesson_Check_-_Page_No._160\"><\/a>Page No. 160<\/h3>\n<p>Question 8.<br \/>\nJamal and Kim used different ways to solve 12 \u00d7 15 by using partial products. Whose answer makes sense? Whose answer is nonsense? Explain your reasoning.<br \/>\nJamal\u2019s Work<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-6.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 6\" width=\"196\" height=\"161\" \/><br \/>\n100 + 20 + 10 = 130<\/p>\n<p>Kim\u2019s Work<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-7.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 7\" width=\"198\" height=\"161\" \/><br \/>\n120 + 60 = 180<br \/>\na. For the answer that is nonsense, write an answer that makes sense.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\na. Jamal\u2019s work makes nonsense.<br \/>\n100 + 20 + 50 + 10 = 180 it makes sense<\/p>\n<p>Question 8.<br \/>\nb. Look at Kim\u2019s method. Can you think of another way Kim could use the model to find the product? Explain.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-8.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 8\" width=\"198\" height=\"161\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nOther method: 12 x 15<br \/>\n10 x 12 = 120<br \/>\n5 x 12 = 60<br \/>\n120 + 60 = 180.<\/p>\n<p>Explanation:<br \/>\nKim follows another method to find 12 x 15<br \/>\nThat is, 100 + 50 = 150<br \/>\n20 + 10 = 30<br \/>\nThen, 150 + 30 =180<br \/>\n12 x 15 = 180<\/p>\n<p>Question 9.<br \/>\nLook at the model in 8b. How would the partial products change if the product was 22 \u00d7 15? Explain why you think the products changed.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n330<\/p>\n<p>Explanation:<br \/>\nFollowing the 8b method<br \/>\n22 x 15 =330<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2759\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-6.jpg\" alt=\"Chapter 3 - Common core - Image 6\" width=\"206\" height=\"135\" \/><br \/>\n200 + 100 = 300<br \/>\n20 + 10 = 30<br \/>\nNow, 300 + 30 = 330<br \/>\nFinally, 22 x 15 = 330<br \/>\nThe factor of 15 is increased in present problem. So, the product also increases for 15 x 22.<\/p>\n<h3><a id=\"Area_Models_and_Partial_Products_Lesson_Check_1_-_Page_No._161\"><\/a>Common Core &#8211; Page No. 161<\/h3>\n<p><strong>Area Models and Partial Products<\/strong><\/p>\n<p><strong>Draw a model to represent the product.<\/strong><br \/>\n<strong>Then record the product.<\/strong><\/p>\n<p>Question 1.<br \/>\n13 \u00d7 42<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-9.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Common Core img 9\" width=\"270\" height=\"179\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-9.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Common Core img 9\" width=\"270\" height=\"179\" \/><\/p>\n<p>Question 2.<br \/>\n18 \u00d7 34 = ______<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2761\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-1.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 1. jpg\" width=\"228\" height=\"132\" \/><br \/>\n300 + 40 + 240 + 32 = 612<\/p>\n<p>Question 3.<br \/>\n22 \u00d7 26 = ______<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2762\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-2.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 2. jpg\" width=\"222\" height=\"131\" \/><br \/>\n400 + 120 + 40 + 12 = 572<\/p>\n<p>Question 4.<br \/>\n1 5 \u00d7 33 = ______<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2763\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-3.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 3. jpg\" width=\"212\" height=\"141\" \/><br \/>\n300 + 30 + 150 + 15 = 495<\/p>\n<p>Question 5.<br \/>\n23 \u00d7 29 = ______<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2764\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-4.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 4. jpg\" width=\"220\" height=\"132\" \/><br \/>\n400 + 180 + 60 + 27 = 667<\/p>\n<p>Question 6.<br \/>\n19 \u00d7 36 = ______<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2765\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-5.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 5. jpg\" width=\"212\" height=\"141\" \/><br \/>\n300 + 60 + 270 + 54 = 684<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 7.<br \/>\nSebastian made the following model to find the product 17 \u00d7 24.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-10.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Common Core img 10\" width=\"299\" height=\"182\" \/><br \/>\nIs his model correct? Explain.<br \/>\na. yes<br \/>\nb. no<\/p>\n<p>Answer:<br \/>\nb. no<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2766\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-6.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 6. jpg\" width=\"222\" height=\"130\" \/><br \/>\n200 + 40 + 140 + 28 = 408<\/p>\n<p>Question 8.<br \/>\nEach student in Ms. Sike\u2019s kindergarten class has a box of crayons. Each box has 36 crayons. If there are 18 students in Ms. Sike\u2019s class, how many crayons are<br \/>\nthere in all?<br \/>\n______ crayons<\/p>\n<p>Answer:<br \/>\n648 crayons<\/p>\n<p>Explanation:<br \/>\nFrom the given information,<br \/>\nEach student in Ms.Sike\u2019s kindergarten class has a box of crayons<br \/>\nCrayons in each box = 36 Crayons<br \/>\nNumber of students in Mr.Sike\u2019s class = 18 students<br \/>\nTotal crayons = 18 x 36<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2767\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-7.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 7. jpg\" width=\"206\" height=\"127\" \/><br \/>\n300 + 60 + 240 + 48 = 648<\/p>\n<h3><a id=\"Area_Models_and_Partial_Products_Lesson_Check_2_-_Page_No._162\"><\/a>Common Core &#8211; Page No. 162<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nWhich product does the model below represent?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-11.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Common Core img 11\" width=\"275\" height=\"147\" \/><br \/>\nOptions:<br \/>\na. 161<br \/>\nb. 230<br \/>\nc. 340<br \/>\nd. 391<\/p>\n<p>Answer:<br \/>\nd. 391<\/p>\n<p>Explanation:<br \/>\n200 + 30 + 140 + 21 = 391<br \/>\n17 x 23 = 391<\/p>\n<p>Question 2.<br \/>\nWhich product does the model below represent?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-12.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 12 img 12\" width=\"276\" height=\"149\" \/><br \/>\nOptions:<br \/>\na. 219<br \/>\nb. 225<br \/>\nc. 244<br \/>\nd. 275<\/p>\n<p>Answer:<br \/>\nb. 225<\/p>\n<p>Explanation:<br \/>\n130 + 20 + 65 + 10 = 225<br \/>\n15 x 15 = 225<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nMariah builds a tabletop using square tiles. There are 12 rows of tiles and 30 tiles in each row. How many tiles in all does Mariah use?<br \/>\nOptions:<br \/>\na. 100<br \/>\nb. 180<br \/>\nc. 360<br \/>\nd. 420<\/p>\n<p>Answer:<br \/>\nc. 360<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nMariah builds a tabletop using square tiles<br \/>\nSquare contains 12 rows of tiles and 30 tiles in each row = 12 x 30<br \/>\n12 x 30 = 360 tiles<br \/>\nTotal tiles used by Mariah = 360 tiles<\/p>\n<p>Question 4.<br \/>\nTrevor bakes 8 batches of biscuits, with 14 biscuits in each batch. He sets aside 4 biscuits from each batch for a bake sale and puts the rest in a jar. How many biscuits does Trevor put in the jar?<br \/>\nOptions:<br \/>\na. 112<br \/>\nb. 80<br \/>\nc. 50<br \/>\nd. 32<\/p>\n<p>Answer:<br \/>\nb. 80<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nNumber of biscuits baked by Trevor = 8 batches<br \/>\nNumber of biscuits in each batch = 14 biscuits<br \/>\nSo, total biscuits = 14 x 8 = 112<br \/>\nTrevor sets aside 4 biscuits from each batch for a bake = 8*4 = 32 biscuits are aside for a bake<br \/>\nTrevor kept rest of biscuits in a jar = 112 \u2013 32 = 80<br \/>\nSo, 80 biscuits are put in the jar by the Trevor<\/p>\n<p>Question 5.<br \/>\nLi feeds her dog 3 cups of food each day. About how many cups of food does her dog eat in 28 days?<br \/>\nOptions:<br \/>\na. 60 cups<br \/>\nb. 70 cups<br \/>\nc. 80 cups<br \/>\nd. 90 cups<\/p>\n<p>Answer:<br \/>\nc. 80 cups<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nLi feeds her dog per day = 3 cups of food<br \/>\nThen, Li feeds her dog for 28 days = 3 x 28<br \/>\n= 84 cups of food<br \/>\nSo, Li feeds her dog with 84 cups of food in 28 days<\/p>\n<p>Question 6.<br \/>\nWhich symbol makes the number sentence true?<br \/>\n4 \u25a0 0 = 0<br \/>\nOptions:<br \/>\na. +<br \/>\nb. &#8211;<br \/>\nc. \u00d7<br \/>\nd. \u00f7<\/p>\n<p>Answer:<br \/>\nc. \u00d7<\/p>\n<p>Explanation:<br \/>\n4 x 0 = 0<\/p>\n<h3><a id=\"Multiply_Using_Partial_Products_-_Page_No._165\"><\/a>Page No. 165<\/h3>\n<p>Question 1.<br \/>\nFind 24 \u00d7 34.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-13.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 13\" width=\"182\" height=\"118\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-14.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 14\" width=\"185\" height=\"211\" \/><br \/>\n_____<\/p>\n<p>Answer:<br \/>\n816<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-13.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 13\" width=\"182\" height=\"118\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2791\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-9.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 9. jpg\" width=\"209\" height=\"229\" \/><\/p>\n<p>Question 2.<br \/>\n1 2<br \/>\n\u00d7 1 2<br \/>\n&#8212;&#8212;&#8211;<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n144<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2792\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-10.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 10. jpg\" width=\"224\" height=\"139\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2793\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-11.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 11. jpg\" width=\"222\" height=\"220\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-11.-jpg.jpg 222w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-11.-jpg-150x150.jpg 150w\" sizes=\"(max-width: 222px) 100vw, 222px\" \/><\/p>\n<p>Question 3.<br \/>\n3 1<br \/>\n\u00d7 2 4<br \/>\n&#8212;&#8212;-<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n744<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2794\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-12.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 12. jpg\" width=\"220\" height=\"129\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2795\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-13.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 13. jpg\" width=\"230\" height=\"230\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-13.-jpg.jpg 230w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-13.-jpg-150x150.jpg 150w\" sizes=\"(max-width: 230px) 100vw, 230px\" \/><\/p>\n<p>Question 4.<br \/>\n2 5<br \/>\n\u00d7 4 3<br \/>\n&#8212;&#8212;-<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n1,075<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2796\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-14.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 14. jpg\" width=\"218\" height=\"133\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2797\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-15.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 15. jpg\" width=\"219\" height=\"220\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-15.-jpg.jpg 219w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-15.-jpg-150x150.jpg 150w\" sizes=\"(max-width: 219px) 100vw, 219px\" \/><\/p>\n<p>Question 5.<br \/>\n3 7<br \/>\n\u00d7 2 4<br \/>\n&#8212;&#8212;-<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n888<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2798\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-16.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 16. jpg\" width=\"209\" height=\"143\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2799\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-17.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 17. jpg\" width=\"224\" height=\"227\" \/><\/p>\n<p>Question 6.<br \/>\n5 4<br \/>\n\u00d7 1 5<br \/>\n&#8212;&#8212;-<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n810<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2800\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-18.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 18. jpg\" width=\"225\" height=\"141\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2801\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-19.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 19. jpg\" width=\"243\" height=\"235\" \/><\/p>\n<p>Question 7.<br \/>\n8 7<br \/>\n\u00d7 1 6<br \/>\n&#8212;&#8212;-<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n1,392<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2802\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-20.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 20. jpg\" width=\"223\" height=\"133\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2803\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-21.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 21. jpg\" width=\"218\" height=\"229\" \/><\/p>\n<p>Question 8.<br \/>\n6 2<br \/>\n\u00d7 5 6<br \/>\n&#8212;&#8212;-<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n3,472<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2804\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-22.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 22. jpg\" width=\"232\" height=\"144\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2805\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-23.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 23. jpg\" width=\"223\" height=\"223\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-23.-jpg.jpg 223w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-23.-jpg-150x150.jpg 150w\" sizes=\"(max-width: 223px) 100vw, 223px\" \/><\/p>\n<p>Question 9.<br \/>\n4 9<br \/>\n\u00d7 6 3<br \/>\n&#8212;&#8212;-<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n3,087<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2806\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-24.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 24. jpg\" width=\"228\" height=\"135\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2807\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-25.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 25. jpg\" width=\"226\" height=\"220\" \/><\/p>\n<p><strong>Practice: Copy and Solve Record the product.<\/strong><\/p>\n<p>Question 10.<br \/>\n38 \u00d7 47<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n1,786<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2808\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-26.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 26. jpg\" width=\"222\" height=\"142\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2809\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-27.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 27. jpg\" width=\"214\" height=\"222\" \/><\/p>\n<p>Question 11.<br \/>\n46 \u00d7 27<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n1,242<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2810\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-28.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 28. jpg\" width=\"222\" height=\"138\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2811\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-29.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 29. jpg\" width=\"224\" height=\"232\" \/><\/p>\n<p>Question 12.<br \/>\n72 \u00d7 53<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n3,816<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2812\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-30.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 30. jpg\" width=\"239\" height=\"131\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2813\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-31.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 31. jpg\" width=\"212\" height=\"224\" \/><\/p>\n<p>Question 13.<br \/>\n98 \u00d7 69<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n6,762<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2814\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-32.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 32. jpg\" width=\"219\" height=\"137\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2815\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-33.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 33. jpg\" width=\"223\" height=\"223\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-33.-jpg.jpg 223w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-33.-jpg-150x150.jpg 150w\" sizes=\"(max-width: 223px) 100vw, 223px\" \/><\/p>\n<p>Question 14.<br \/>\n53 \u00d7 68<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n3,604<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2816\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-34.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 34. jpg\" width=\"216\" height=\"141\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2817\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-35.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 35. jpg\" width=\"213\" height=\"223\" \/><\/p>\n<p>Question 15.<br \/>\n76 \u00d7 84<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n6,384<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2818\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-36.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 36. jpg\" width=\"229\" height=\"134\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2819\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-37.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 37. jpg\" width=\"214\" height=\"231\" \/><\/p>\n<p>Question 16.<br \/>\n92 \u00d7 48<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n4,416<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2821\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-38.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 38. jpg\" width=\"225\" height=\"129\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2822\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-39.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 39. jpg\" width=\"218\" height=\"232\" \/><\/p>\n<p>Question 17.<br \/>\n37 \u00d7 79<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n2,923<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2823\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-40.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 40. jpg\" width=\"221\" height=\"125\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2824\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-41.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 41. jpg\" width=\"217\" height=\"224\" \/><\/p>\n<p><strong>Reason Abstractly Algebra Find the unknown digits. Complete the problem.<\/strong><\/p>\n<p>Question 18.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-15.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 15\" width=\"104\" height=\"216\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n1,824<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2825\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-42.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 42. jpg\" width=\"135\" height=\"215\" \/><\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-16.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 16\" width=\"94\" height=\"210\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n7,954<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2826\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-43.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 43. jpg\" width=\"125\" height=\"197\" \/><\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-17.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 17\" width=\"102\" height=\"211\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n1,908<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2827\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-44.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 44. jpg\" width=\"134\" height=\"212\" \/><\/p>\n<p>Question 21.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-18.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 18\" width=\"97\" height=\"213\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\n952<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2828\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-45.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 45. jpg\" width=\"110\" height=\"202\" \/><\/p>\n<h3><a id=\"Multiply_Using_Partial_Products_-_Page_No._166\"><\/a>Page No. 166<\/h3>\n<p><strong>Use the picture graph for 22\u201324.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-19.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 19\" width=\"419\" height=\"321\" \/><\/p>\n<p>Question 22.<br \/>\nUse Graphs A fruit-packing warehouse is shipping 15 boxes of grapefruit to a store in Santa Rosa, California. What is the total weight of the shipment?<br \/>\n______ pounds<\/p>\n<p>Answer:<br \/>\n1275 pounds<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nA fruit packing warehouse is shipping 15 boxes of grapefruit to store in Santa Rose, California<br \/>\nGrapefruit weight per box = 85 pounds<br \/>\nTotal weight of the shipment = 85 x 15<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2830\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-46.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 46. jpg\" width=\"219\" height=\"219\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-46.-jpg.jpg 219w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-46.-jpg-150x150.jpg 150w\" sizes=\"(max-width: 219px) 100vw, 219px\" \/><br \/>\nSo, the total weight of the shipment = 1275 pounds<\/p>\n<p>Question 23.<br \/>\nHow much less do 13 boxes of tangelos weigh than 18 boxes of tangerines?<br \/>\n______ pounds<\/p>\n<p>Answer:<br \/>\n450 pounds<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nTangelos weight per box = 90 pounds<br \/>\nThen, the weight of the 13 boxes of tangelos = 90 x 13<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2831\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-47.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 47. jpg\" width=\"224\" height=\"237\" \/><br \/>\nAnd, the weight of the 18 boxes of tangelos = 90 x 18<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2832\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-48.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 48. jpg\" width=\"222\" height=\"238\" \/><br \/>\n1620 \u2013 1170 = 450<br \/>\nSo, 13 boxes of tangelos weight are 450 pounds less than 18 boxes of tangelos weight<\/p>\n<p>Question 24.<br \/>\nWhat is the weight of 12 boxes of oranges?<br \/>\n______ pounds<\/p>\n<p>Answer:<br \/>\n1,080 pounds<\/p>\n<p>Explanation:<br \/>\nThe weight of the oranges per box = 90 pounds<br \/>\nthen, weight of 12 boxes oranges = 90 x 12<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2833\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-49.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 49. jpg\" width=\"211\" height=\"224\" \/><br \/>\nSo, weight of 12 boxes oranges = 1,080 pounds<\/p>\n<p>Question 25.<br \/>\nEach person in the United States eats about 65 fresh apples each year. Based on this estimate, how many apples do 3 families of 4 eat each year?<br \/>\n______ apples<\/p>\n<p>Answer:<br \/>\n780 apples<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nEach person in the united states eats fresh apples per year = 65<br \/>\n3 families of 4 persons = 3 x 4 = 12 persons<br \/>\nThen, the number of apples eat by 12 persons = 65 x 12<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2834\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-50.-jpg.jpg\" alt=\"chapter 3 - Area models and partial products- image 50. jpg\" width=\"217\" height=\"230\" \/><br \/>\nSo, the total number of apples eat by 12 persons per year = 780<\/p>\n<p>Question 26.<br \/>\nThe product 26 \u00d7 93 is greater than 25 \u00d7 93. How much greater? Explain how you know without multiplying.<br \/>\n______<\/p>\n<p>Answer:<br \/>\nThe difference is 93<br \/>\n26 x 93 is one more group of 93 than 25 x 93<\/p>\n<p>Question 27.<br \/>\nMargot wants to use partial products to find 22 \u00d7 17. Write the numbers in the boxes to show 22 \u00d7 17.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-20.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 20\" width=\"641\" height=\"49\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2835\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-51.-jpg-300x34.jpg\" alt=\"chapter 3 - Area models and partial products- image 51. jpg\" width=\"388\" height=\"44\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-51.-jpg-300x34.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-51.-jpg.jpg 491w\" sizes=\"(max-width: 388px) 100vw, 388px\" \/><\/p>\n<p>Explanation:<br \/>\n22 x 17<br \/>\n(20 + 2) x 17<br \/>\n20 x 17 + 2 x 17<br \/>\n20 x (10 + 7) + 2 x (10 + 7)<br \/>\n(20 x 10) + (20 x 7) + (2 x 10) + (2 x 7)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2835\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-51.-jpg-300x34.jpg\" alt=\"chapter 3 - Area models and partial products- image 51. jpg\" width=\"388\" height=\"44\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-51.-jpg-300x34.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/chapter-3-Area-models-and-partial-products-image-51.-jpg.jpg 491w\" sizes=\"(max-width: 388px) 100vw, 388px\" \/><\/p>\n<h3><a id=\"Multiply_Using_Partial_Products_Lesson_Check_-_167\"><\/a>Common Core &#8211; Page No. 167<\/h3>\n<p><strong>Multiply Using Partial Products<\/strong><\/p>\n<p><strong>Record the product.<\/strong><\/p>\n<p>Question 1.<br \/>\n2 3<br \/>\n\u00d7 7 9<br \/>\n&#8212;&#8212;&#8212;<br \/>\n1, 4 0 0<br \/>\n2 1 0<br \/>\n1 8 0<br \/>\n+ 2 7<br \/>\n&#8212;&#8212;&#8211;<br \/>\n1, 8 1 7<\/p>\n<p>Answer:<br \/>\n1, 8 1 7<\/p>\n<p>Explanation:<br \/>\n2 3<br \/>\n\u00d7 7 9<br \/>\n&#8212;&#8212;&#8212;<br \/>\n1, 4 0 0<br \/>\n2 1 0<br \/>\n1 8 0<br \/>\n+ 2 7<br \/>\n&#8212;&#8212;&#8211;<br \/>\n1, 8 1 7<\/p>\n<p>Question 2.<br \/>\n5 6<br \/>\n\u00d7 3 2<br \/>\n&#8212;&#8212;-<br \/>\n_______<\/p>\n<p>Answer:<br \/>\n1,792<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2893\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-7.jpg\" alt=\"Chapter 3 - Common core - Image 7\" width=\"137\" height=\"218\" \/><\/p>\n<p>Question 3.<br \/>\n8 7<br \/>\n\u00d7 6 4<br \/>\n&#8212;&#8212;-<br \/>\n_______<\/p>\n<p>Answer:<br \/>\n5,568<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2894\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-8.jpg\" alt=\"Chapter 3 - Common core - Image 8\" width=\"217\" height=\"235\" \/><\/p>\n<p>Question 4.<br \/>\n3 3<br \/>\n\u00d7 2 5<br \/>\n&#8212;&#8212;-<br \/>\n_______<\/p>\n<p>Answer:<br \/>\n825<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2895\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-9.jpg\" alt=\"Chapter 3 - Common core - Image 9\" width=\"222\" height=\"224\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-9.jpg 222w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-9-150x150.jpg 150w\" sizes=\"(max-width: 222px) 100vw, 222px\" \/><\/p>\n<p>Question 5.<br \/>\n9 4<br \/>\n\u00d7 1 2<br \/>\n&#8212;&#8212;-<br \/>\n_______<\/p>\n<p>Answer:<br \/>\n1,128<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2896\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-10.jpg\" alt=\"Chapter 3 - Common core - Image 10\" width=\"216\" height=\"229\" \/><\/p>\n<p>Question 6.<br \/>\n5 1<br \/>\n\u00d7 7 7<br \/>\n&#8212;&#8212;-<br \/>\n_______<\/p>\n<p>Answer:<br \/>\n3,927<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2897\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-11.jpg\" alt=\"Chapter 3 - Common core - Image 11\" width=\"218\" height=\"230\" \/><\/p>\n<p>Question 7.<br \/>\n6 9<br \/>\n\u00d7 4 9<br \/>\n&#8212;&#8212;-<br \/>\n_______<\/p>\n<p>Answer:<br \/>\n3,381<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2898\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-12.jpg\" alt=\"Chapter 3 - Common core - Image 12\" width=\"223\" height=\"220\" \/><\/p>\n<p>Question 8.<br \/>\n8 6<br \/>\n\u00d7 8 4<br \/>\n&#8212;&#8212;-<br \/>\n_______<\/p>\n<p>Answer:<br \/>\n7,224<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2899\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-13.jpg\" alt=\"Chapter 3 - Common core - Image 13\" width=\"217\" height=\"219\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-13.jpg 217w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-13-150x150.jpg 150w\" sizes=\"(max-width: 217px) 100vw, 217px\" \/><\/p>\n<p>Question 9.<br \/>\n9 8<br \/>\n\u00d7 4 2<br \/>\n&#8212;&#8212;-<br \/>\n_______<\/p>\n<p>Answer:<br \/>\n4,116<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2900\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-14.jpg\" alt=\"Chapter 3 - Common core - Image 14\" width=\"215\" height=\"223\" \/><\/p>\n<p>Question 10.<br \/>\n7 3<br \/>\n\u00d7 3 7<br \/>\n&#8212;&#8212;-<br \/>\n_______<\/p>\n<p>Answer:<br \/>\n2,701<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2901\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-15.jpg\" alt=\"Chapter 3 - Common core - Image 15\" width=\"215\" height=\"229\" \/><\/p>\n<p>Question 11.<br \/>\n8 5<br \/>\n\u00d7 5 1<br \/>\n&#8212;&#8212;-<br \/>\n_______<\/p>\n<p>Answer:<br \/>\n4,335<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2902\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-16.jpg\" alt=\"Chapter 3 - Common core - Image 16\" width=\"213\" height=\"221\" \/><\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 12.<br \/>\nEvelyn drinks 8 glasses of water a day, which is 56 glasses of water a week. How many glasses of water does she drink in a year? (1 year = 52 weeks)<br \/>\n_______ glasses<\/p>\n<p>Answer:<br \/>\n2,912 glasses<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nEvelyn drinks 8 glasses of water a day<br \/>\nEvelyn drinks water per week = 56 glasses<br \/>\nThen, the number of glasses per 52 weeks = 52 x 56<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2903\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-17.jpg\" alt=\"Chapter 3 - Common core - Image 17\" width=\"211\" height=\"218\" \/><br \/>\nTotal number of glasses of water drink by Evelyn per year = 2912 glasses of water<\/p>\n<p>Question 13.<br \/>\nJoe wants to use the Hiking Club\u2019s funds to purchase new walking sticks for each of its 19 members. The sticks cost $26 each. The club has $480. Is this enough money to buy each member a new walking stick? If not, how much more money is needed?<br \/>\nIs the money enough? _______<br \/>\nHow much more is needed? _______<\/p>\n<p>Answer:<br \/>\nThis amount is not enough to buy walking sticks<br \/>\nStill, $14 amount is needed to buy walking sticks<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nJoe wants to use the Hiking club funds to purchase new walking sticks for each of its 19 members<br \/>\nCost per each stick = $26<br \/>\nTotal walking sticks cost per 19 members = $26 x 19<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2904\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-18.jpg\" alt=\"Chapter 3 - Common core - Image 18\" width=\"217\" height=\"223\" \/><br \/>\nTotal cost for walking sticks for 19 members = $494<br \/>\nThe club has = $480<br \/>\nThis amount is not enough to buy walking sticks<br \/>\nStill, $14 amount is needed to buy walking sticks<\/p>\n<h3><a id=\"Multiply_Using_Partial_Products_Lesson_Check_1_-_168\"><\/a>Common Core &#8211; Page No. 168<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nA carnival snack booth made $76 selling popcorn in one day. It made 22 times as much selling cotton candy. How much money did the snack booth make selling<br \/>\ncotton candy?<br \/>\nOptions:<br \/>\na. $284<br \/>\nb. $304<br \/>\nc. $1,562<br \/>\nd. $1,672<\/p>\n<p>Answer:<br \/>\nd. $1,672<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nA carnival snack booth made popcorn in one day = $76<br \/>\nIt made 22 times as much selling cotton candy<br \/>\nThen, total selling cotton candy made by snack booth = $76 x 22<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2906\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-19.jpg\" alt=\"Chapter 3 - Common core - Image 19\" width=\"215\" height=\"226\" \/><br \/>\nSo, $1672 money snack booth will get for selling cotton candy<\/p>\n<p>Question 2.<br \/>\nWhat are the partial products of<br \/>\n42 \u00d7 28?<br \/>\nOptions:<br \/>\na. 800, 80, 40, 16<br \/>\nb. 800, 16<br \/>\nc. 800, 40, 320, 16<br \/>\nd. 80, 16<\/p>\n<p>Answer:<br \/>\nc. 800, 40, 320, 16<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2907\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-20.jpg\" alt=\"Chapter 3 - Common core - Image 20\" width=\"218\" height=\"223\" \/><br \/>\nSo, partial products of 42 x 28 are 800, 40, 320, 16<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nLast year, the city library collected 117 used books for its shelves. This year, it collected 3 times as many books. How many books did it collect this year?<br \/>\nOptions:<br \/>\na. 832<br \/>\nb. 428<br \/>\nc. 351<br \/>\nd. 72<\/p>\n<p>Answer:<br \/>\nc. 351<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nLast year, the number of used books collected by city library by its shelves = 117 books<br \/>\nThis year, it collected 3 times as many books = 3 x 117 =351 books<br \/>\nTotal number of books collected by the city library for this year = 351 books<\/p>\n<p>Question 4.<br \/>\nWashington Elementary has 232 students. Washington High has 6 times as many students. How many students does Washington High have?<br \/>\nOptions:<br \/>\na. 1,392<br \/>\nb. 1,382<br \/>\nc. 1,292<br \/>\nd. 1,281<\/p>\n<p>Answer:<br \/>\na. 1,392<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nThe number of students in Washington elementary = 232 students<br \/>\nWashington High has 6 times as many students = 6 x 232 = 1392<br \/>\nTotal number of students in Washington High = 1392 students<\/p>\n<p>Question 5.<br \/>\nWhat are the partial products of 35 \u00d7 7?<br \/>\nOptions:<br \/>\na. 10, 12<br \/>\nb. 21, 35<br \/>\nc. 210, 35<br \/>\nd. 350, 21<\/p>\n<p>Answer:<br \/>\nc. 210, 35<\/p>\n<p>Explanation:<br \/>\nPartial products of 35 x 7 are 210, 35<\/p>\n<p>Question 6.<br \/>\nShelby has ten $5 bills and thirteen $10 bills. How much money does Shelby have in all?<br \/>\nOptions:<br \/>\na. $15<br \/>\nb. $60<br \/>\nc. $63<br \/>\nd. $180<\/p>\n<p>Answer:<br \/>\nd. $180<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nShelby has ten $5 bills and thirteen $10 bills = (10 x $5) + (13 x $10)<br \/>\n= ($50) + ($130)<br \/>\n=$180<br \/>\nTotal money with Shelby = $180<\/p>\n<h3><a id=\"Mid-Chapter_Checkpoint_-_Page_No._169\"><\/a>Page No. 169<\/h3>\n<p>Question 1.<br \/>\nExplain how to find 40 \u00d7 50 using mental math.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n200<\/p>\n<p>Explanation:<br \/>\n40 x 50<br \/>\nBy using mental math<br \/>\n4 x 5 = 20<br \/>\n40 x 50 = 200<\/p>\n<p>Question 2.<br \/>\nWhat is the first step in estimating 56 \u00d7 27?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n18 centimeters<\/p>\n<p>Explanation:<br \/>\nRound to the nearest values.<br \/>\nSo, the first step of the estimated 56 x 27 is rounding to the nearest values that is 60 x 30<\/p>\n<p><strong>Choose a method. Then find the product.<\/strong><\/p>\n<p>Question 3.<br \/>\n35 \u00d7 10 = _____<\/p>\n<p>Answer:<br \/>\n350<\/p>\n<p>Explanation:<br \/>\nBy using the place value method<br \/>\nYou can take 10 as 1 ten<br \/>\n35 x 10 = 35 x 1 ten<br \/>\n= 35 ten<br \/>\n35 x 10 = 350<\/p>\n<p>Question 4.<br \/>\n19 \u00d7 20 = _____<\/p>\n<p>Answer:<br \/>\n380<\/p>\n<p>Explanation:<br \/>\n19 x 20<br \/>\nBy using the associative property<br \/>\nYou can think of 20 as (2 x 10)<br \/>\n19 x 20 = 19 x (2 x 10)<br \/>\n= (19 x 2) x 10<br \/>\n= 38 x 10<br \/>\n19 x 20 = 380<\/p>\n<p>Question 5.<br \/>\n12 \u00d7 80 = _____<\/p>\n<p>Answer:<br \/>\n960<\/p>\n<p>Explanation:<br \/>\nUse the halving and doubling strategy<br \/>\nhalf of the 80 to make the problem simpler<br \/>\n80\/ 2 = 40<br \/>\nMultiply 40 with 12<br \/>\n40*12 = 480<br \/>\nDouble the 480<br \/>\n2*480= 960<br \/>\n12*80 = 960<\/p>\n<p>Question 6.<br \/>\n70 \u00d7 50 = _____<\/p>\n<p>Answer:<br \/>\n3,500<\/p>\n<p>Explanation:<br \/>\n70 x 50<br \/>\nBy using the place value method<br \/>\nYou can take 50 as 5 tens<br \/>\n70 x 50 = 70 x 5 tens<br \/>\n= 350 tens<br \/>\n70 x 50 = 3,500<\/p>\n<p>Question 7.<br \/>\n58 \u00d7 40 = _____<\/p>\n<p>Answer:<br \/>\n2,320<\/p>\n<p>Explanation:<br \/>\nBy using the associative property<br \/>\nYou can think of 40 as (4 x 10)<br \/>\n58 x 40 = 58 x (4 x 10)<br \/>\n= (58 x 4) x 10<br \/>\n= 232 x 10<br \/>\n58 x 40 = 2,320<\/p>\n<p>Question 8.<br \/>\n30 \u00d7 40 = _____<\/p>\n<p>Answer:<br \/>\n1,200<\/p>\n<p>Explanation:<br \/>\nUse the halving and doubling strategy<br \/>\nhalf of the 40 to make the problem simpler<br \/>\n40\/ 2 = 20<br \/>\nMultiply 20 with 30<br \/>\n20*30 = 600<br \/>\nDouble the 600<br \/>\n2*600= 1200<br \/>\n30*40 = 1,200<\/p>\n<p>Question 9.<br \/>\n14 \u00d7 60 = _____<\/p>\n<p>Answer:<br \/>\n840<\/p>\n<p>Explanation:<br \/>\nBy using the place value method<br \/>\nYou can take 60 as 6 tens<br \/>\n14 x 60 = 14 x 6 tens<br \/>\n= 84 tens<br \/>\n14 x 60 = 840<\/p>\n<p>Question 10.<br \/>\n20 \u00d7 30 = _____<\/p>\n<p>Answer:<br \/>\n600<\/p>\n<p>Explanation:<br \/>\nBy using the associative property<br \/>\nYou can think of 30 as (3 x 10)<br \/>\n20 x 30 = 20 x (3 x 10)<br \/>\n= (20 x 3) x 10<br \/>\n= 60 x 10<br \/>\n20 x 30 = 600<\/p>\n<p>Question 11.<br \/>\n16 \u00d7 90 = _____<\/p>\n<p>Answer:<br \/>\n1,440<\/p>\n<p>Explanation:<br \/>\nUse the halving and doubling strategy<br \/>\nhalf of the 90 to make the problem simpler<br \/>\n90\/ 2 = 45<br \/>\nMultiply 45 with 16<br \/>\n16*45 = 720<br \/>\nDouble the 720<br \/>\n2*720= 1440<br \/>\n16*90 = 1,440<\/p>\n<p><strong>Estimate the product. Choose a method.<\/strong><\/p>\n<p>Question 12.<br \/>\n81 \u00d7 38<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n3,200<\/p>\n<p>Explanation:<br \/>\nRound to the nearest tens.<br \/>\n81 is close to 80; 38 is close to 40;<br \/>\n80 x 40 = 3,200<\/p>\n<p>Question 13.<br \/>\n16 \u00d7 $59<br \/>\nEstimate: $ _____<\/p>\n<p>Answer:<br \/>\n$120<\/p>\n<p>Explanation:<br \/>\nRound to the nearest tens.<br \/>\n16 is close to 20; $59 is close to $60;<br \/>\nUse the mental math to find the product of 20 x $60<br \/>\n2 x $6 = $12<br \/>\n20 x $60 = $120<br \/>\nEstimated product of 16 x $59 = $120<\/p>\n<p>Question 14.<br \/>\n43 \u00d7 25<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n1,000<\/p>\n<p>Explanation:<br \/>\nRound to the nearest tens.<br \/>\n43 is close to 40; 25 is close to 25;<br \/>\n40 x 25 = 1000<br \/>\nEstimated product of 43 x 25 = 1,000<\/p>\n<p>Question 15.<br \/>\n76 \u00d7 45<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n3,200<\/p>\n<p>Explanation:<br \/>\nRound to the nearest tens.<br \/>\n76 is close to 80; 45 is close to 40;<br \/>\nUse the mental math<br \/>\n8 x 4 = 32<br \/>\n80 x 40 = 3200<br \/>\nSo, the estimated product of 76 x 45 = 3,200<\/p>\n<p>Question 16.<br \/>\n65 \u00d7 $79<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n$4,800<\/p>\n<p>Explanation:<br \/>\nRound to the nearest tens.<br \/>\n65 is close to 60; $79 is close to $80;<br \/>\nUse the mental math<br \/>\n6 x $8 = $48<br \/>\n60 x $80 = $4800<br \/>\nSo, estimated product of 65 x $79 = $4,800<\/p>\n<p>Question 17.<br \/>\n92 \u00d7 38<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n3,600<\/p>\n<p>Explanation:<br \/>\nRound to the nearest tens.<br \/>\n92 is close to 90; 38 is close to 40;<br \/>\nUse the mental math, then<br \/>\n9 x 4 = 36<br \/>\n90 x 40 = 3,600<br \/>\nSo, estimated product of 92 x 38 = 3,600<\/p>\n<p>Question 18.<br \/>\n37 \u00d7 31<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n1,200<\/p>\n<p>Explanation:<br \/>\nRound to the nearest tens.<br \/>\n37 is close to 40; 31 is close to 30;<br \/>\nUse the mental math, then<br \/>\n4 x 3 = 12<br \/>\n40 x 30 = 1,200<br \/>\nSo, estimated product of 37 x 31 = 1,200<\/p>\n<p>Question 19.<br \/>\n26 \u00d7 $59<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n$1,800<\/p>\n<p>Explanation:<br \/>\nRound to the nearest tens.<br \/>\n26 is close to 30; $59 is close to $60;<br \/>\nUse the mental math, then<br \/>\n3 x $6 = $18<br \/>\n30 x $60 = $1,800<br \/>\nSo, estimated product of 26 x $59 = $1,800<\/p>\n<p>Question 20.<br \/>\n54 \u00d7 26<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n18 centimeters<\/p>\n<p>Explanation:<br \/>\nRound to the nearest tens.<br \/>\n54 is close to 50; 26 is close to 30;<br \/>\nUse the mental math<br \/>\n5 x 3 = 15<br \/>\n50 x 30 = 1,500<br \/>\nSo, estimated product of 54 x 26 = 1,500<\/p>\n<p>Question 21.<br \/>\n52 \u00d7 87<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n4,500<\/p>\n<p>Explanation:<br \/>\nRound to the nearest tens.<br \/>\n52 is close to 50; 87 is close to 90;<br \/>\nUse the mental math<br \/>\n5 x 9 = 45<br \/>\n50 x 90 = 4500<br \/>\nSo, estimated product of 52 x 87 = 4,500<\/p>\n<p>Question 22.<br \/>\n39 \u00d7 27<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n18 centimeters<\/p>\n<p>Explanation:<br \/>\nRound to the nearest tens.<br \/>\n39 is close to 40; 27 is close to 30;<br \/>\nUse the mental math<br \/>\n4 x 3 = 12<br \/>\n40 x 30 = 1,200<br \/>\nSo, estimated product of 39 x 27 = 1,200<\/p>\n<p>Question 23.<br \/>\n63 \u00d7 58<br \/>\nEstimate: _____<\/p>\n<p>Answer:<br \/>\n3,600<\/p>\n<p>Explanation:<br \/>\nRound to the nearest tens.<br \/>\n63 is close to 60; 58 is close to 60;<br \/>\nUse the mental math<br \/>\n6 x 6 = 36<br \/>\n60 x 60 = 3,600<br \/>\nSo, estimated product of 63 x 58 = 3,600<\/p>\n<h3><a id=\"Mid-Chapter_Checkpoint_Lesson_Check_-_Page_No._170\"><\/a>Page No. 170<\/h3>\n<p>Question 24.<br \/>\nMs. Traynor\u2019s class is taking a field trip to the zoo. The trip will cost $26 for each student. There are 22 students in her class. What is a good estimate for the cost of the students\u2019 field trip?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n18 centimeters<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nMs. Traynor\u2019s class is taking a field trip to the zoo<br \/>\nCost of the trip for each student = $26<br \/>\nTotal number of students in her class = 22<br \/>\nThe total cost of the trip for students = $26 x 22<br \/>\nRound to the nearest tens.<br \/>\n26 is close to 30; 22 is close to 20;<br \/>\nUse the mental math<br \/>\n$3 x 2 = $6<br \/>\n$30 x 20 = $600<br \/>\nThen, the total estimated cost for the trip for students = $600<\/p>\n<p>Question 25.<br \/>\nTito wrote the following on the board. What is the unknown number?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-21.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 21\" width=\"392\" height=\"188\" \/><br \/>\n______<\/p>\n<p>Answer:<br \/>\n400<\/p>\n<p>Explanation:<br \/>\nAn unknown number is 50 x 8 = 400<\/p>\n<p>Question 26.<br \/>\nWhat are the partial products that result from multiplying 15 \u00d7 32?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nPartial products are 300, 150, 20, 10<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2922\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-36.jpg\" alt=\"Chapter 3 - Common core - Image 36\" width=\"215\" height=\"237\" \/><br \/>\nPartial products are 300, 150, 20, 10<\/p>\n<p>Question 27.<br \/>\nA city bus company sold 39 one-way tickets and 20 round-trip tickets from West Elmwood to East Elmwood. One-way tickets cost $14. Round trip tickets cost $25. How much money did the bus company collect?<br \/>\n$ ______<\/p>\n<p>Answer:<br \/>\n$1,046<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nNumber of one \u2013 way tickets sold by the city bus company = 39<br \/>\nRound trip tickets from west Elmwood to east Elmwood = 20<br \/>\nCost of one \u2013 way tickets = $14<br \/>\nThen, cost of 39 one \u2013 way tickets = 39 x $14 =$546<br \/>\nCost of round trip tickets = $25<br \/>\nThen, cost of 20 round trip tickets = $25 x 20 = $500<br \/>\nTotal money collected by the city bus company = $546 + $500 = $1,046<\/p>\n<h3><a id=\"Mid-Chapter_Checkpoint_Lesson_Check_1_-_Page_No._173\"><\/a>Page No. 173<\/h3>\n<p>Question 1.<br \/>\nLook at the problem. Complete the sentences.<br \/>\nMultiply ____ and ____ to get 0.<br \/>\nMultiply ____ and ____ to get 1,620.<br \/>\nAdd the partial products.<br \/>\n0 + 1,620 = ____<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-22.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 22\" width=\"62\" height=\"126\" \/><br \/>\n_____<\/p>\n<p>Answer:<br \/>\nMultiply 27 and 0 to get 0.<br \/>\nMultiply 27 and 6 to get 1,620.<br \/>\nAdd the partial products. 0 + 1,620 = 1,620.<\/p>\n<p><strong>Estimate. Then find the product.<\/strong><\/p>\n<p>Question 2.<br \/>\n6 8<br \/>\n\u00d7 5 3<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _________<br \/>\nProduct: __________<\/p>\n<p>Answer:<br \/>\nEstimate: 3,500<br \/>\nProduct: 3,604<\/p>\n<p>Explanation:<br \/>\n68 is closer to 70 and 53 is closer to 50<br \/>\nEstimate: 70 x 50 = 3,500<br \/>\n60 x 53 = 3180<br \/>\n8 x 53 = 424<br \/>\n3180 + 424 = 3604<br \/>\nProduct 3,604<\/p>\n<p>Question 3.<br \/>\n6 1<br \/>\n\u00d7 5 4<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _________<br \/>\nProduct: __________<\/p>\n<p>Answer:<br \/>\nEstimate: 3,000<br \/>\nProduct: 3,294<\/p>\n<p>Explanation:<br \/>\n61 is closer to 60 and 54 is closer to 50<br \/>\nEstimate: 60 x 50 = 3,000<br \/>\n60 x 54 = 3240<br \/>\n1 x 54 = 54<br \/>\n3240 + 54 = 3294<br \/>\nProduct 3,294<\/p>\n<p>Question 4.<br \/>\n9 0<br \/>\n\u00d7 2 7<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _________<br \/>\nProduct: __________<\/p>\n<p>Answer:<br \/>\nEstimate: 2,700<br \/>\nProduct: 2,430<\/p>\n<p>Explanation:<br \/>\n27 is closer to 30<br \/>\nEstimate: 90 x 30 = 2,700<br \/>\n90 x 27 = 2430<br \/>\nProduct 2,430<\/p>\n<p>Question 5.<br \/>\n3 0<br \/>\n\u00d7 4 7<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _________<br \/>\nProduct: __________<\/p>\n<p>Answer:<br \/>\nEstimate: 1,500<br \/>\nProduct: 1,410<\/p>\n<p>Explanation:<br \/>\n47 is closer to 50<br \/>\nEstimate: 30 x 50 = 1,500<br \/>\n30 x 47 = 1410<br \/>\nProduct 1,410<\/p>\n<p>Question 6.<br \/>\n7 8<br \/>\n\u00d7 5 6<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _________<br \/>\nProduct: __________<\/p>\n<p>Answer:<br \/>\nEstimate: 4,800<br \/>\nProduct: 4,368<\/p>\n<p>Explanation:<br \/>\n78 is closer to 80 and 56 is closer to 60<br \/>\nEstimate: 80 x 60 = 4,800<br \/>\n70 x 56 = 3920<br \/>\n8 x 56 = 448<br \/>\n3920 + 448 = 4368<br \/>\nProduct 4,368<\/p>\n<p>Question 7.<br \/>\n2 7<br \/>\n\u00d7 2 5<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _________<br \/>\nProduct: __________<\/p>\n<p>Answer:<br \/>\nEstimate: 600<br \/>\nProduct: 675<\/p>\n<p>Explanation:<br \/>\n27 is closer to 30 and 25 is closer to 20<br \/>\nEstimate: 30 x 20 = 600<br \/>\n20 x 25 = 500<br \/>\n7 x 25 = 175<br \/>\n500 + 175 = 675<br \/>\nProduct 675<\/p>\n<p><strong>Practice: Copy and Solve Estimate. Then find the product.<\/strong><\/p>\n<p>Question 8.<br \/>\n34 \u00d7 65<br \/>\nEstimate: _________<br \/>\nProduct: __________<\/p>\n<p>Answer:<br \/>\nEstimate: 1,800<br \/>\nProduct: 2,210<\/p>\n<p>Explanation:<br \/>\n34 is closer to 30 and 65 is closer to 60<br \/>\nEstimate: 30 x 60 = 1,800<br \/>\n30 x 65 = 1950<br \/>\n4 x 65 = 260<br \/>\n1950 + 260 = 2210<br \/>\nProduct 2,210<\/p>\n<p>Question 9.<br \/>\n42 \u00d7 $13<br \/>\nEstimate: $ _________<br \/>\nProduct: $ _________<\/p>\n<p>Answer:<br \/>\nEstimate: $400<br \/>\nProduct: $546<\/p>\n<p>Explanation:<br \/>\n42 is closer to 40 and 13 is closer to 10<br \/>\nEstimate: 40 x 10 = 400<br \/>\n40 x $13 = $520<br \/>\n2 x $13= $26<br \/>\n$520 + $26 = $546<br \/>\nProduct $546<\/p>\n<p>Question 10.<br \/>\n60 \u00d7 17<br \/>\nEstimate: _________<br \/>\nProduct: __________<\/p>\n<p>Answer:<br \/>\nEstimate: 1,200<br \/>\nProduct: 1,020<\/p>\n<p>Explanation:<br \/>\n17 is closer to 20<br \/>\nEstimate: 60 x 20 = 1,200<br \/>\n60 x 17 = 1020<br \/>\nProduct = 1,020<\/p>\n<p>Question 11.<br \/>\n62 \u00d7 45<br \/>\nEstimate: _________<br \/>\nProduct: __________<\/p>\n<p>Answer:<br \/>\nEstimate: 2,400<br \/>\nProduct: 2,790<\/p>\n<p>Explanation:<br \/>\n62 is closer to 60 and 45 is closer to 40<br \/>\nEstimate: 60 x 40 = 2,400<br \/>\n60 x 45 = 2700<br \/>\n2 x 45= 90<br \/>\n2700 + 90 = 2790<br \/>\nProduct 2,790<\/p>\n<p>Question 12.<br \/>\n57 \u00d7 $98<br \/>\nEstimate: $ _________<br \/>\nProduct: $ _________<\/p>\n<p>Answer:<br \/>\nEstimate: 6,000<br \/>\nProduct: 5,586<\/p>\n<p>Explanation:<br \/>\n57 is closer to 60 and 98 is closer to 100<br \/>\nEstimate: 60 x 100 = 6,000<br \/>\n50 x 98 = 4900<br \/>\n7 x 98= 686<br \/>\n4900 + 686 = 5586<br \/>\nProduct 5,586<\/p>\n<p><strong>Look for a Pattern Algebra Write a rule for the pattern.<\/strong><br \/>\n<strong>Use your rule to find the unknown numbers.<\/strong><\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-23.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 23\" width=\"386\" height=\"73\" \/><br \/>\nRule _____________<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-2927\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-37-300x85.jpg\" alt=\"Chapter 3 - Common core - Image 37\" width=\"300\" height=\"85\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-37-300x85.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Chapter-3-Common-core-Image-37.jpg 619w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\n1 hour = 60 min<br \/>\nThen, 5hr = 5 x 60 = 300 min<br \/>\n10hr = 10 x 60 = 600 min<br \/>\n15hr = 15 x 60 = 900 min<br \/>\n20hr = 20 x 60 = 1200 min<br \/>\n25hr = 25 x 60 = 1500 min<\/p>\n<p>Question 14.<br \/>\nOwners of a summer camp are buying new cots for their cabins. There are 16 cabins. Each cabin needs 6 cots. Each cot costs $92. How much will the new cots cost?<br \/>\n$ _______<\/p>\n<p>Answer:<br \/>\n$8,832<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nOwners pf a summer camp are buying new cots for their cabins<br \/>\nNumber of cabins = 16<br \/>\nEach cabin needs 6 cots<br \/>\nThen, total cots = 16 x 6 = 96<br \/>\nEach cot cost = $92<br \/>\nThen, cost for total cots = $92 x 96<br \/>\n92 is closer to 90 and 96 is closer to 100<br \/>\nEstimate = 90 x 100 = 9,000<br \/>\n90 x 96 = 8640<br \/>\n2 x 96 = 192<br \/>\n8640 + 192 = 8832<br \/>\nProduct = 8,832<\/p>\n<p>Question 15.<br \/>\nA theater has 28 rows of 38 seats downstairs and 14 rows of 26 seats upstairs. How many seats does the theater have?<br \/>\n______ seats<\/p>\n<p>Answer:<br \/>\n1,428 seats<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nA theatre has 28 rows of 38 seats downstairs = 28 x 38 = 1064<br \/>\n14 rows of 26 seats upstairs = 14 x 26 = 364<br \/>\nTotal number of seats = 1064 + 364 = 1,428 seats<\/p>\n<h3><a id=\"Mid-Chapter_Checkpoint_Lesson_Check_2_-_Page_No._174\"><\/a>Page No. 174<\/h3>\n<p>Question 16.<br \/>\nMachine A can label 11 bottles in 1 minute. Machine B can label 12 bottles in 1 minute. How many bottles can both machines label in 15 minutes?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-24.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 24\" width=\"91\" height=\"231\" \/><br \/>\na. What do you need to know?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nnumber of bottles labeled by Machine A and Machine B in 15 minutes<\/p>\n<p>Question 16.<br \/>\nb. What numbers will you use?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n15x 11 and 15 x 12<\/p>\n<p>Question 16.<br \/>\nc. Tell why you might use more than one operation to solve the problem.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nTo find out the total number of bottle made by both machines A &amp; B<\/p>\n<p>Question 16.<br \/>\nd. Solve the problem.<br \/>\nSo, both machines can label ____ bottles in ____ minutes.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nMachine A can label 11 bottles in 1 minute<br \/>\nThen, the number of bottles labeled by machine A in 15 minutes = 15 x 11 = 165<br \/>\nMachine B can label 12 bottles in 1 minute<br \/>\nThen, number of bottles labelled by Machine B in 15 minutes = 15 x 12 = 180<br \/>\nTotal bottles labelled by both the machines in 15 minutes = 165 + 180 = 345<\/p>\n<p>Question 17.<br \/>\nMake Sense of Problems<br \/>\nA toy company makes wooden blocks. A carton holds 85 blocks. How many blocks can 19 cartons hold?<br \/>\n______ blocks<\/p>\n<p>Answer:<br \/>\n1,615 blocks<\/p>\n<p>Explanation:<br \/>\nFrom the given data,<br \/>\nA toy company makes wooden blocks<br \/>\nA carton holds 85 blocks<br \/>\nThen, number of blocks hold by 19 cartons = 19 x 85 = 1615<br \/>\nTotal number of blocks held by 19 cartons = 1,615<\/p>\n<p>Question 18.<br \/>\nA company is packing cartons of candles. Each carton can hold 75 candles. So far, 50 cartons have been packed, but only 30 cartons have been loaded on a truck. How many more candles are left to load on the truck?<br \/>\n______ candles<\/p>\n<p>Answer:<br \/>\n1,500 candles<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nA company is packing cartons of candles<br \/>\nEach carton can hold 75 candles<br \/>\nThen, number of candles hold by 50 cartons = 50 x 75 = 3750<br \/>\nNumber of candles hold by 30 cartons = 30 x 75 = 2250<br \/>\n50 cartons have been packed, but only 30 cartons have been loaded on a truck<br \/>\nRemaining candles are left to load on truck = 3750 \u2013 2250 = 1,500<\/p>\n<p>Question 19.<br \/>\nMr. Garcia\u2019s class raised money for a field trip to the zoo. There are 23 students in his class. The cost of the trip will be $17 for each student. What is the cost for all the students? Explain how you found your answer.<br \/>\n$ ______<\/p>\n<p>Answer:<br \/>\n$391<\/p>\n<p>Explanation:<br \/>\nAs per the given data,<br \/>\nMr. Garcia\u2019s class raised money for a field trip to the zoo<br \/>\nTotal number of students in his class = 23 students<br \/>\nCost of the trip for each student = $17<br \/>\nThen, total cost for all the students = $17 x 23 = $391<\/p>\n<h3><a id=\"Multiply_with_Regrouping_-_Page_No._175\"><\/a>Common Core &#8211; Page No. 175<\/h3>\n<p><strong>Multiply with Regrouping<\/strong><br \/>\n<strong>Estimate. Then find the product.<\/strong><\/p>\n<p>Question 1.<br \/>\nEstimate: 2,700<br \/>\nThink: 87 is close to 90 and 32 is close to 30.<br \/>\n90 \u00d7 30 = 2,700<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-25.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Common Core img 25\" width=\"94\" height=\"142\" \/><\/p>\n<p>Answer:<br \/>\n2,784<\/p>\n<p>Explanation:<br \/>\nThink: 87 is close to 90 and 32 is close to 30.<br \/>\n90 \u00d7 30 = 2,700<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-25.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Common Core img 25\" width=\"94\" height=\"142\" \/><\/p>\n<p>Question 2.<br \/>\n7 3<br \/>\n\u00d7 2 8<br \/>\n&#8212;&#8212;&#8211;<br \/>\nEstimate: ______<br \/>\nProduct: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 2,100<br \/>\nProduct: 2,044<\/p>\n<p>Explanation:<br \/>\n<strong>Estimate:<\/strong> 73 is close to 70; 28 is close to 30.<br \/>\nSo, 70 x 30 = 2,100.<br \/>\n<strong>Product:<\/strong> Write 73 as 7 tens and 3 ones. Multiply 28 by 3 ones.<br \/>\n2<br \/>\n28<br \/>\nx 73<br \/>\n&#8212;&#8212;&#8211;<br \/>\n84 &lt;&#8211; 3 x 28<br \/>\nMultiply 28 by 7 tens<br \/>\n5<br \/>\n28<br \/>\nx 73<br \/>\n&#8212;&#8212;&#8211;<br \/>\n1960 &lt;&#8211; 70 x 28<br \/>\nAdd the partial products.<br \/>\n84 + 1960 = 2,044.<br \/>\nSo, 73 x 28 = 2,044.<\/p>\n<p>Question 3.<br \/>\n4 8<br \/>\n\u00d7 3 8<br \/>\n&#8212;&#8212;&#8211;<br \/>\nEstimate: ______<br \/>\nProduct: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 2,000<br \/>\nProduct: 1,824<\/p>\n<p>Explanation:<br \/>\n48 is close to 50 and 38 is close to 40.<br \/>\n<strong>Estimate:<\/strong> 50 \u00d7 40 = 2,000<br \/>\n40 x 38 = 1520<br \/>\n8 x 38 = 304<br \/>\n1520 + 304 = 1824.<br \/>\n<strong>Product:<\/strong> 1,824<\/p>\n<p>Question 4.<br \/>\n5 9<br \/>\n\u00d7 5 2<br \/>\n&#8212;&#8212;&#8211;<br \/>\nEstimate: ______<br \/>\nProduct: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 3,000<br \/>\nProduct: 3,068<\/p>\n<p>Explanation:<br \/>\n59 is close to 60 and 52 is close to 50.<br \/>\n<strong>Estimate:<\/strong> 60 \u00d7 50 = 3,000<br \/>\n50 x 52 = 2600<br \/>\n9 x 52 = 468<br \/>\n2600 + 468 = 3068.<br \/>\n<strong>Product:<\/strong> 3,068.<\/p>\n<p>Question 5.<br \/>\n8 4<br \/>\n\u00d7 4 0<br \/>\n&#8212;&#8212;&#8211;<br \/>\nEstimate: ______<br \/>\nProduct: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 3,200<br \/>\nProduct: 3,360<\/p>\n<p>Explanation:<br \/>\n84 is close to 80 and 40 is close to 40.<br \/>\n<strong>Estimate:<\/strong> 80 \u00d7 40 = 3,200<br \/>\n80 x 40 = 3,200<br \/>\n4 x 40 = 160<br \/>\n3200 + 160 = 3,360.<br \/>\n<strong>Product:<\/strong> 3,360.<\/p>\n<p>Question 6.<br \/>\n8 3<br \/>\n\u00d7 7 7<br \/>\n&#8212;&#8212;&#8211;<br \/>\nEstimate: ______<br \/>\nProduct: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 6,400<br \/>\nProduct: 6,391<\/p>\n<p>Explanation:<br \/>\n83 is close to 80 and 77 is close to 80.<br \/>\n<strong>Estimate:<\/strong> 80 \u00d7 80 = 6,400<br \/>\n80 x 77 = 6,160<br \/>\n3 x 77 = 231<br \/>\n6,160 + 231 = 6,391.<br \/>\n<strong>Product:<\/strong> 6,391.<\/p>\n<p>Question 7.<br \/>\n9 1<br \/>\n\u00d7 1 9<br \/>\n&#8212;&#8212;&#8211;<br \/>\nEstimate: ______<br \/>\nProduct: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 1,800<br \/>\nProduct: 1,729<\/p>\n<p>Explanation:<br \/>\n91 is close to 90 and 19 is close to 20.<br \/>\n<strong>Estimate:<\/strong> 90 \u00d7 20 = 1,800<br \/>\n90 x 19 = 1,710<br \/>\n1 x 19 = 19<br \/>\n1,710+ 19 = 1,729.<br \/>\n<strong>Product:<\/strong> 1,729.<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 8.<br \/>\nBaseballs come in cartons of 84 baseballs. A team orders 18 cartons of baseballs. How many baseballs does the team order?<br \/>\n_______ baseballs<\/p>\n<p>Answer:<br \/>\n1,512 baseballs<\/p>\n<p>Explanation:<br \/>\nTo find total baseballs, 84 x 18<br \/>\n80 x 18 = 1,440<br \/>\n4 x 18 = 72<br \/>\n84 x 18 = 1,512<\/p>\n<p>Question 9.<br \/>\nThere are 16 tables in the school lunch room. Each table can seat 22 students. How many students can be seated at lunch at one time?<br \/>\n_______ students<\/p>\n<p>Answer:<br \/>\n352 students<\/p>\n<p>Explanation:<br \/>\nTotal Students = 16 x 22<br \/>\n10 x 22 = 220<br \/>\n6 x 22 = 132<br \/>\n220 + 132 = 352.<br \/>\n352 students can be seated at lunch at one time<\/p>\n<h3><a id=\"Multiply_with_Regrouping_Lesson_Check_-_Page_No._176\"><\/a>Common Core &#8211; Page No. 176<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nThe art teacher has 48 boxes of crayons. There are 64 crayons in each box. Which is the best estimate of the number of crayons the art teacher has?<br \/>\nOptions:<br \/>\na. 2,400<br \/>\nb. 2,800<br \/>\nc. 3,000<br \/>\nd. 3,500<\/p>\n<p>Answer:<br \/>\nc. 3,000<\/p>\n<p>Explanation:<br \/>\n1. Total number of crayons = 48 x 64<br \/>\n48 is close to 50; 64 is close to 60<br \/>\n50 x 60 = 3,000.<br \/>\nThe art teacher has about to 3, 000 crayons.<\/p>\n<p>Question 2.<br \/>\nA basketball team scored an average of 52 points in each of 15 games. How many points did the team score in all?<br \/>\nOptions:<br \/>\na. 500<br \/>\nb. 312<br \/>\nc. 780<br \/>\nd. 1,000<\/p>\n<p>Answer:<br \/>\nc. 780<\/p>\n<p>Explanation:<br \/>\nTotal Points = 52 x 15<br \/>\n50 x 15 = 750<br \/>\n2 x 15 = 30<br \/>\n750 + 30 = 780.<br \/>\nThe basketball team scored 780 points in total.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nOne Saturday, an orchard sold 83 bags of apples. There are 27 apples in each bag. Which expression represents the total number of apples sold?<br \/>\nOptions:<br \/>\na. 16 + 6 + 56 + 21<br \/>\nb. 160 + 60 + 56 + 21<br \/>\nc. 160 + 60 + 560 + 21<br \/>\nd. 1,600 + 60 + 560 + 21<\/p>\n<p>Answer:<br \/>\nd. 1,600 + 60 + 560 + 21<\/p>\n<p>Explanation:<br \/>\nTotal number of apples sold = 83 x 27<br \/>\n80 x 27 = 2,160<br \/>\n3 x 27 = 81<br \/>\n2,160 + 81 = 2,241.<br \/>\nThe total number of apples sold = 2,241.<br \/>\n16 + 6 + 56 + 21 = 99 not equal to 2,241<br \/>\n160 + 60 + 56 + 21 = 297 not equal to 2,241<br \/>\n160 + 60 + 560 + 21 = 801 not equal to 2,241<br \/>\n1,600 + 60 + 560 + 21 = 2,241 equal to 2,241<br \/>\n1,600 + 60 + 560 + 21 = 2,241 is correct.<\/p>\n<p>Question 4.<br \/>\nHannah has a grid of squares that has 12 rows with 15 squares in each row. She colors 5 rows of 8 squares in the middle of the grid blue. She colors the rest of<br \/>\nthe squares red. How many squares does Hannah color red?<br \/>\nOptions:<br \/>\na. 40<br \/>\nb. 140<br \/>\nc. 180<br \/>\nd. 220<\/p>\n<p>Answer:<br \/>\nb. 140<\/p>\n<p>Explanation:<br \/>\nHannah has a grid of squares that has 12 rows with 15 squares in each row = 12 x 15 = 180.<br \/>\nThe grid of squares in blue = 5 x 8 = 40.<br \/>\nThe grid of squares in red = 180 &#8211; 40 = 140.<\/p>\n<p>Question 5.<br \/>\nGabriella has 4 times as many erasers a Leona. Leona has 8 erasers. How many erasers does Gabriella have?<br \/>\nOptions:<br \/>\na. 32<br \/>\nb. 24<br \/>\nc. 12<br \/>\nd. 2<\/p>\n<p>Answer:<br \/>\na. 32<\/p>\n<p>Explanation:<br \/>\nGabriella have 4 x 8 = 32 erasers.<\/p>\n<p>Question 6.<br \/>\nPhil has 3 times as many rocks as Peter. Together, they have 48 rocks. How many more rocks does Phil have than Peter?<br \/>\nOptions:<br \/>\na. 36<br \/>\nb. 24<br \/>\nc. 16<br \/>\nd. 12<\/p>\n<p>Answer:<br \/>\nb. 24<\/p>\n<p>Explanation:<br \/>\nPhil has 3 times as many rocks as Peter. Together, they have 48 rocks<br \/>\nIf Peter has x rocks, Phil has 3x rocks<br \/>\n3x + x = 48.<br \/>\n4x = 48.<br \/>\nx = 48\/4 = 12.<br \/>\nPeter has 12 rocks. Phil has 3 x 12 = 36 rocks.<br \/>\nPhil has 36 &#8211; 12 = 24 more rocks than Peter.<\/p>\n<h3><a id=\"Choose_a_Multiplication_Method_-_Page_No._179\"><\/a>Page No. 179<\/h3>\n<p>Question 1.<br \/>\nFind the product.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-26.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 26\" width=\"186\" height=\"217\" \/><br \/>\nEstimate: ______<br \/>\nProduct: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 1,500<br \/>\nProduct: 1,566<\/p>\n<p>Explanation:<br \/>\n54 x 29<br \/>\n<strong>Estimate:<\/strong> Think 54 is close to 50; 29 is close to 30.<br \/>\n50 x 30 = 1,500<br \/>\n<strong>Product:<\/strong><br \/>\n20 x 5 tens = 100 tens<br \/>\n20 x 4 ones = 80 ones<br \/>\n9 x 5 tens = 45 tens<br \/>\n9 x 4 ones = 36 ones.<br \/>\nAdd partial products.<br \/>\n1000 + 80 + 450 + 36 = 1,566.<\/p>\n<p><strong>Estimate. Then choose a method to find the product.<\/strong><\/p>\n<p>Question 2.<br \/>\n3 6<br \/>\n\u00d7 1 4<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: ______<br \/>\nProduct: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 400<br \/>\nProduct: 504<\/p>\n<p>Explanation:<br \/>\n36 x 14<br \/>\n<strong>Estimate:<\/strong> Think 36 is close to 40; 14 is close to 10.<br \/>\n40 x 10 = 400<br \/>\n<strong>Product:<\/strong><br \/>\n10 x 3 tens = 30 tens<br \/>\n10 x 6 ones = 60 ones<br \/>\n4 x 3 tens = 12 tens<br \/>\n4 x 6 ones = 24 ones.<br \/>\nAdd partial products.<br \/>\n300 + 60 + 120 + 24 = 504.<\/p>\n<p>Question 3.<br \/>\n6 3<br \/>\n\u00d7 4 2<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: ______<br \/>\nProduct: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 2,400<br \/>\nProduct: 2646<\/p>\n<p>Explanation:<br \/>\n63 x 42<br \/>\n<strong>Estimate:<\/strong> Think 63 is close to 60; 42 is close to 40.<br \/>\n60 x 40 = 2400<br \/>\n<strong>Product:<\/strong><br \/>\n40 x 6 tens = 240 tens<br \/>\n40 x 3 ones = 120 ones<br \/>\n2 x 6 tens = 12 tens<br \/>\n2 x 3 ones = 6 ones.<br \/>\nAdd partial products.<br \/>\n2400 + 120 + 120 + 6 = 2646.<\/p>\n<p>Question 4.<br \/>\n8 4<br \/>\n\u00d7 5 3<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: ______<br \/>\nProduct: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 4,000<br \/>\nProduct: 4,452<\/p>\n<p>Explanation:<br \/>\n84 x 53<br \/>\n<strong>Estimate:<\/strong> Think 84 is close to 80; 53 is close to 50.<br \/>\n80 x 50 = 4,000<br \/>\n<strong>Product: <\/strong><br \/>\n50 x 8 tens = 400 tens<br \/>\n50 x 4 ones = 200 ones<br \/>\n3 x 8 tens = 24 tens<br \/>\n3 x 4 ones = 12 ones.<br \/>\nAdd partial products.<br \/>\n4000 + 200 + 240 + 12 = 4,452.<\/p>\n<p>Question 5.<br \/>\n7 1<br \/>\n\u00d7 1 3<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: ______<br \/>\nProduct: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 700<br \/>\nProduct: 923<\/p>\n<p>Explanation:<br \/>\n71 x 13<br \/>\n<strong>Estimate:<\/strong> Think 71 is close to 70; 13 is close to 10.<br \/>\n70 x 10 = 700<br \/>\n<strong>Product: <\/strong><br \/>\n10 x 7 tens = 70 tens<br \/>\n10 x 1 ones = 10 ones<br \/>\n3 x 7 tens = 21 tens<br \/>\n3 x 1 ones = 3 ones.<br \/>\nAdd partial products.<br \/>\n700 + 10 + 210 + 3 = 923.<\/p>\n<p><strong>Practice: Copy and Solve Estimate. Find the product.<\/strong><\/p>\n<p>Question 6.<br \/>\n29 \u00d7 $82<br \/>\nEstimate: $ _______<br \/>\nProduct: $ _______<\/p>\n<p>Answer:<br \/>\nEstimate: $2,400<br \/>\nProduct: $2,378<\/p>\n<p>Explanation:<br \/>\n29 x $82<br \/>\n<strong>Estimate:<\/strong> Think 29 is close to 30; $82 is close to $80.<br \/>\n30 x $80 = $2,400<br \/>\n<strong>Product:<\/strong><br \/>\n$80 x 2 tens = $160 tens<br \/>\n$80 x 9 ones = $720 ones<br \/>\n$2 x 2 tens = $4 tens<br \/>\n$2 x 9 ones = $18 ones.<br \/>\nAdd partial products.<br \/>\n$1600 + $720 + $40 + $18 = $2,378.<\/p>\n<p>Question 7.<br \/>\n57 \u00d7 79<br \/>\nEstimate: _______<br \/>\nProduct: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 4,800<br \/>\nProduct: 4,503<\/p>\n<p>Explanation:<br \/>\n57 x 79<br \/>\n<strong>Estimate:<\/strong> Think 57 is close to 60; 79 is close to 80.<br \/>\n60 x 80 = 4,800<br \/>\n<strong>Product:<\/strong><br \/>\n70 x 5 tens = 350 tens<br \/>\n70 x 7 ones = 490 ones<br \/>\n9 x 5 tens = 45 tens<br \/>\n9 x 7 ones = 63 ones.<br \/>\nAdd partial products.<br \/>\n3500 + 490 + 450 + 63 = 4,503.<\/p>\n<p>Question 8.<br \/>\n80 \u00d7 27<br \/>\nEstimate: _______<br \/>\nProduct: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 2,400<br \/>\nProduct: 2,160<\/p>\n<p>Explanation:<br \/>\n80 x 27<br \/>\n<strong>Estimate:<\/strong> Think 27 is close to 30.<br \/>\n30 x 80 = 2,400<br \/>\n<strong>Product:<\/strong><br \/>\n20 x 8 tens = 160 tens<br \/>\n20 x 0 ones = 0 ones<br \/>\n7 x 8 tens = 56 tens<br \/>\n7 x 0 ones = 0 ones.<br \/>\nAdd partial products.<br \/>\n1600 + 0 + 560 + 0 = 2,160.<\/p>\n<p>Question 9.<br \/>\n32 \u00d7 $75<br \/>\nEstimate: $ _______<br \/>\nProduct: $ _______<\/p>\n<p>Answer:<br \/>\nEstimate: $2,100<br \/>\nProduct: $2,400<\/p>\n<p>Explanation:<br \/>\n32 \u00d7 $75<br \/>\n<strong>Estimate:<\/strong> Think 32 is close to 30; $75 is close to $70.<br \/>\n30 x $70 = $2,100<br \/>\n<strong>Product: <\/strong><br \/>\n$70 x 3 tens = $210 tens<br \/>\n$70 x 2 ones = $140 ones<br \/>\n$5 x 3 tens = $15 tens<br \/>\n$5 x 2 ones = $10 ones.<br \/>\nAdd partial products.<br \/>\n$2100 + $140 + $150 + $10 = $2,400.<\/p>\n<p>Question 10.<br \/>\n55 \u00d7 48<br \/>\nEstimate: _______<br \/>\nProduct: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 2,750<br \/>\nProduct: 2,640<\/p>\n<p>Explanation:<br \/>\n55 \u00d7 48<br \/>\n<strong>Estimate:<\/strong> Think 48 is close to 50.<br \/>\n55 x 50 = 2,750<br \/>\n<strong>Product:<\/strong><br \/>\n40 x 5 tens = 200 tens<br \/>\n40 x 5 ones = 200 ones<br \/>\n8 x 5 tens = 40 tens<br \/>\n8 x 5 ones = 40 ones.<br \/>\nAdd partial products.<br \/>\n2000 + 200 + 400 + 40 = 2,640.<\/p>\n<p>Question 11.<br \/>\n19 \u00d7 $82<br \/>\nEstimate: $ _______<br \/>\nProduct: $ _______<\/p>\n<p>Answer:<br \/>\nEstimate: $1,600<br \/>\nProduct: $1,558<\/p>\n<p>Explanation:<br \/>\n19 \u00d7 $82<br \/>\n<strong>Estimate:<\/strong> Think 19 is close to 20; $82 is close to $80.<br \/>\n20 x $80 = $1,600<br \/>\n<strong>Product:<\/strong><br \/>\n$80 x 1 tens = $80 tens<br \/>\n$80 x 9 ones = $720 ones<br \/>\n$2 x 1 tens = $2 tens<br \/>\n$2 x 9 ones = $18 ones.<br \/>\nAdd partial products.<br \/>\n$800 + $720 + $20 + $18 = $1,558.<\/p>\n<p>Question 12.<br \/>\n25 \u00d7 $25<br \/>\nEstimate: $ _______<br \/>\nProduct: $ _______<\/p>\n<p>Answer:<br \/>\nEstimate: $625<br \/>\nProduct: $625<\/p>\n<p>Explanation:<br \/>\n25 \u00d7 $25<br \/>\n<strong>Estimate:<\/strong><br \/>\n25 x $25 = $625<br \/>\n<strong>Product:<\/strong><br \/>\n$20 x 2 tens = $40 tens<br \/>\n$20 x 5 ones = $100 ones<br \/>\n$5 x 2 tens = $10 tens<br \/>\n$5 x 5 ones = $25 ones.<br \/>\nAdd partial products.<br \/>\n$400 + $100 + $100 + $25 = $625.<\/p>\n<p>Question 13.<br \/>\n41 \u00d7 98<br \/>\nEstimate: _______<br \/>\nProduct: _______<\/p>\n<p>Answer:<br \/>\nEstimate: 4,000<br \/>\nProduct: 4,018<\/p>\n<p>Explanation:<br \/>\n41 \u00d7 98<br \/>\n<strong>Estimate:<\/strong> Think 41 is close to 40; 98 is close to 100.<br \/>\n40 x 100 = 4,000<br \/>\n<strong>Product: <\/strong><br \/>\n90 x 4 tens = 360 tens<br \/>\n90 x 1 ones = 90 ones<br \/>\n8 x 4 tens = 32 tens<br \/>\n8 x 1 ones = 8 ones.<br \/>\nAdd partial products.<br \/>\n3600 + 90 + 320 + 8 = 4,018.<\/p>\n<p><strong>Identify Relationships Algebra Use mental math to find the number.<\/strong><\/p>\n<p>Question 14.<br \/>\n30 \u00d7 14 = 420, so<br \/>\n30 \u00d7 15 = ______<\/p>\n<p>Answer:<br \/>\n30 \u00d7 15 = <strong>450<\/strong><\/p>\n<p>Explanation:<br \/>\n30 \u00d7 15 = 30 + 420<br \/>\n30 \u00d7 15 = 450<\/p>\n<p>Question 15.<br \/>\n25 \u00d7 12 = 300, so<br \/>\n25 \u00d7 ______ = 350<\/p>\n<p>Answer:<br \/>\n25 x <span style=\"text-decoration: underline;\">14<\/span> = 350<\/p>\n<p>Explanation:<br \/>\n25 \u00d7 12 = 300<br \/>\nFor every next multiplication, the product value is increased by 25.<br \/>\n25 x 13 = 325.<br \/>\n25 x 14 =350.<\/p>\n<p>Question 16.<br \/>\nThe town conservation manager bought 16 maple trees for $26 each. She paid with five $100 bills. How much change will the manager receive? Explain.<br \/>\n$ ______<\/p>\n<p>Answer:<br \/>\n$84<\/p>\n<p>Explanation:<br \/>\nThe town conservation manager bought 16 maple trees for $26 each = 16 x $26 = $416.<br \/>\nShe paid with five $100 bills = 5 x $100 = $500.<br \/>\nThe manager receive = $500 &#8211; $416 = $84.<\/p>\n<p>Question 17.<br \/>\nEach of 25 students in Group A read for 45 minutes. Each of 21 students in Group B read for 48 minutes. Which group read for more minutes? Explain.<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nGroup A read for more minutes than Group B.<\/p>\n<p>Explanation:<br \/>\nGroup A read for 25 x 45 = 1125 minutes.<br \/>\nGroup B read for 21 x 48 = 1008 minutes.<br \/>\nGroup A read for more minutes than Group B.<\/p>\n<h3><a id=\"Choose_a_Multiplication_Method_Lesson_Check_-_Page_No._180\"><\/a>Page No. 180<\/h3>\n<p>Question 18.<br \/>\nMartin collects stamps. He counted 48 pages in his collector\u2019s album. The first 20 pages each have 35 stamps in 5 rows. The rest of the pages each have 54 stamps. How many stamps does Martin have in his album?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-27.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 27\" width=\"229\" height=\"219\" \/><br \/>\na. What do you need to know?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nThe total stamps in the first 20 pages + The total stamps in the remaining pages.<\/p>\n<p>Question 18.<br \/>\nb. How will you use multiplication to find the number of stamps?<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nThe first 20 pages each have 35 stamps in 5 rows.<br \/>\nSo, 35 x 5 = 175 stamps.<\/p>\n<p>Question 18.<br \/>\nc. Tell why you might use addition and subtraction to help solve the problem.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nAs mentioned that the number of stamps available in the first 20 pages and the number of stamps available in the rest of the pages. We need to add all pages to get 48 pages stamps.<\/p>\n<p>Question 18.<br \/>\nd. Show the steps to solve the problem.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nMartin has 48 pages in his collector\u2019s album.<br \/>\nThe first 20 pages each have 35 stamps in 5 rows.<br \/>\nSo, 35 x 5 = 175 stamps.<br \/>\nThe first 20 pages have 175 stamps.<br \/>\nThe rest of the pages each have 54 stamps.<br \/>\nSo, total stamps = 175 + 54 = 229 stamps.<\/p>\n<p>Question 18.<br \/>\ne. Complete the sentences.<br \/>\nMartin has a total of _____ stamps on the first 20 pages.<br \/>\nThere are _____ more pages after the first 20 pages in Martin\u2019s album.<br \/>\nThere are _____ stamps on the rest of the pages.<br \/>\nThere are _____ stamps in the album.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nMartin has a total of __175___ stamps on the first 20 pages.<br \/>\nThere are __24___ more pages after the first 20 pages in Martin\u2019s album.<br \/>\nThere are __54___ stamps on the rest of the pages.<br \/>\nThere are ___229__ stamps in the album.<\/p>\n<p>Question 19.<br \/>\nSelect the expressions that have the same product as 35 \u00d7 17. Mark all that apply.<br \/>\nOptions:<br \/>\na. (30 \u00d7 10) + (30 \u00d7 7) + (5 \u00d7 10) + (5 \u00d7 7)<br \/>\nb. (30 \u00d7 17) + (5 \u00d7 17)<br \/>\nc. (35 \u00d7 30) + (35 \u00d7 5) + (35 \u00d7 10) + (35 \u00d7 7)<br \/>\nd. (35 \u00d7 10) + (35 \u00d7 7)<br \/>\ne. (35 \u00d7 10) + (30 \u00d7 10) + (5 \u00d7 10) + (5 \u00d7 7)<br \/>\nf. (35 \u00d7 30) + (35 \u00d7 5)<\/p>\n<p>Answer:<br \/>\na. (30 \u00d7 10) + (30 \u00d7 7) + (5 \u00d7 10) + (5 \u00d7 7)<br \/>\nb. (30 \u00d7 17) + (5 \u00d7 17)<br \/>\nd. (35 \u00d7 10) + (35 \u00d7 7)<\/p>\n<p>Explanation:<br \/>\n35 \u00d7 17<br \/>\n30 x 10 =300<br \/>\n30 x 7 = 210<br \/>\n5 x 10 = 50<br \/>\n5 x 7 = 35<br \/>\n300 + 210 + 50 + 35 = 595.<br \/>\na. (30 \u00d7 10) + (30 \u00d7 7) + (5 \u00d7 10) + (5 \u00d7 7) = 300 + 210 + 50 + 35 = 595 equal to 595.<br \/>\nb. (30 \u00d7 17) + (5 \u00d7 17) = 510 + 85 = 595 equal to 595.<br \/>\nc. (35 \u00d7 30) + (35 \u00d7 5) + (35 \u00d7 10) + (35 \u00d7 7) = 1050 + 175 + 350 + 245 = 1820 not equal to 595.<br \/>\nd. (35 \u00d7 10) + (35 \u00d7 7) = 350 + 245 = 595 equal to 595<br \/>\ne. (35 \u00d7 10) + (30 \u00d7 10) + (5 \u00d7 10) + (5 \u00d7 7) = 350 + 300 + 50 + 35 = 735 not equal to 595.<br \/>\nf. (35 \u00d7 30) + (35 \u00d7 5) = 1050 + 175 = 1,225 not equal to 595.<\/p>\n<h3><a id=\"Choose_a_Multiplication_Method_Lesson_Check_1_-_Page_No._181\"><\/a>Common Core &#8211; Page No. 181<\/h3>\n<p><strong>Choose a Multiplication Method<\/strong><\/p>\n<p><strong>Estimate. Then choose a method to find the product.<\/strong><\/p>\n<p>Question 1.<br \/>\nEstimate: <span style=\"text-decoration: underline;\">1,200<\/span><br \/>\n3 1<br \/>\n\u00d7 4 3<br \/>\n&#8212;&#8212;-<br \/>\n9 3<br \/>\n+ 1, 2 4 0<br \/>\n&#8212;&#8212;&#8212;&#8212;<br \/>\n1, 3 3 3<\/p>\n<p>Answer:<br \/>\nEstimate: 1,200<br \/>\nProduct: 1, 3 3 3<\/p>\n<p>Explanation:<br \/>\nEstimate: 1,200<br \/>\n3 1<br \/>\n\u00d7 4 3<br \/>\n&#8212;&#8212;-<br \/>\n9 3<br \/>\n+ 1, 2 4 0<br \/>\n&#8212;&#8212;&#8212;&#8212;<br \/>\n1, 3 3 3<\/p>\n<p>Question 2.<br \/>\n6 7<br \/>\n\u00d7 8 5<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _____<br \/>\nProduct: ______<\/p>\n<p>Answer:<br \/>\nEstimate: 6,300<br \/>\nProduct: 5,695<\/p>\n<p>Explanation:<br \/>\n<strong>Estimate:<\/strong> 67 is close to 70; 85 is close to 90.<br \/>\n70 x 90 = 6,300.<br \/>\n<strong>Product:<\/strong> 67 x 85<br \/>\n80 x 6 tens = 480 tens<br \/>\n80 x 7 ones = 560 ones<br \/>\n5 x 6 tens = 30 tens<br \/>\n5 x 7 ones = 35 ones.<br \/>\nAdd partial products.<br \/>\n4800 + 560 + 300 + 35 = 5,695.<\/p>\n<p>Question 3.<br \/>\n6 8<br \/>\n\u00d7 3 8<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _____<br \/>\nProduct: ______<\/p>\n<p>Answer:<br \/>\nEstimate: 2,800<br \/>\nProduct: 2,584<\/p>\n<p>Explanation:<br \/>\n<strong>Estimate:<\/strong> 68 is close to 70; 38 is close to 40.<br \/>\n70 x 40 = 2,800.<br \/>\n<strong>Product:<\/strong> 68 x 38<br \/>\n30 x 6 tens = 180 tens<br \/>\n30 x 8 ones = 240 ones<br \/>\n8 x 6 tens = 48 tens<br \/>\n8 x 8 ones = 64 ones.<br \/>\nAdd partial products.<br \/>\n1800 + 240 + 480 + 64 = 2,584.<\/p>\n<p>Question 4.<br \/>\n9 5<br \/>\n\u00d7 1 7<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _____<br \/>\nProduct: ______<\/p>\n<p>Answer:<br \/>\nEstimate: 1,700<br \/>\nProduct: 1,615<\/p>\n<p>Explanation:<br \/>\n<strong>Estimate:<\/strong> 95 is close to 100.<br \/>\n100 x 17 = 1,700.<br \/>\n<strong>Product:<\/strong> 95 x 17<br \/>\n10 x 9 tens = 90 tens<br \/>\n10 x 5 ones = 50 ones<br \/>\n7 x 9 tens = 63 tens<br \/>\n7 x 5 ones = 35 ones.<br \/>\nAdd partial products.<br \/>\n900 + 50 + 630 + 35 = 1,615.<\/p>\n<p>Question 5.<br \/>\n4 9<br \/>\n\u00d7 5 4<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _____<br \/>\nProduct: ______<\/p>\n<p>Answer:<br \/>\nEstimate: 2,500<br \/>\nProduct: 2,646<\/p>\n<p>Explanation:<br \/>\n<strong>Estimate:<\/strong> 49 is close to 50; 54 is close to 50.<br \/>\n50 x 50 = 2,500.<br \/>\n<strong>Product:<\/strong> 49 x 54<br \/>\n50 x 4 tens = 200 tens<br \/>\n50 x 9 ones = 450 ones<br \/>\n4 x 4 tens = 16 tens<br \/>\n4 x 9 ones = 36 ones.<br \/>\nAdd partial products.<br \/>\n2000 + 450 + 160 + 36 = 2,646.<\/p>\n<p>Question 6.<br \/>\n9 1<br \/>\n\u00d7 2 6<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _____<br \/>\nProduct: ______<\/p>\n<p>Answer:<br \/>\nEstimate: 2,700<br \/>\nProduct: 2,366<\/p>\n<p>Explanation:<br \/>\n<strong>Estimate:<\/strong> 91 is close to 90; 26 is close to 30.<br \/>\n90 x 30 = 2,700.<br \/>\n<strong>Product:<\/strong> 49 x 54<br \/>\n20 x 9 tens = 180 tens<br \/>\n20 x 1 ones = 20 ones<br \/>\n6 x 9 tens = 54 tens<br \/>\n6 x 1 ones = 6 ones.<br \/>\nAdd partial products.<br \/>\n1800 + 20 + 540 + 6 = 2,366.<\/p>\n<p>Question 7.<br \/>\n8 2<br \/>\n\u00d7 1 9<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _____<br \/>\nProduct: ______<\/p>\n<p>Answer:<br \/>\nEstimate: 1,600<br \/>\nProduct: 1,558<\/p>\n<p>Explanation:<br \/>\n<strong>Estimate:<\/strong> 82 is close to 80; 19 is close to 20.<br \/>\n80 x 20 = 1,600.<br \/>\n<strong>Product:<\/strong> 82 x 19<br \/>\n10 x 8 tens = 80 tens<br \/>\n10 x 2 ones = 20 ones<br \/>\n9 x 8 tens = 72 tens<br \/>\n9 x 2 ones = 18 ones.<br \/>\nAdd partial products.<br \/>\n800 + 20 + 720 + 18 = 1,558.<\/p>\n<p>Question 8.<br \/>\n4 6<br \/>\n\u00d7 2 7<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _____<br \/>\nProduct: ______<\/p>\n<p>Answer:<br \/>\nEstimate: 1,500<br \/>\nProduct: 1,242<\/p>\n<p>Explanation:<br \/>\n<strong>Estimate:<\/strong> 46 is close to 50; 27 is close to 30.<br \/>\n50 x 30 = 1,500.<br \/>\n<strong>Product:<\/strong> 46 x 27<br \/>\n20 x 4 tens = 80 tens<br \/>\n20 x 6 ones = 120 ones<br \/>\n7 x 4 tens = 28 tens<br \/>\n7 x 6 ones = 42 ones.<br \/>\nAdd partial products.<br \/>\n800 + 120 + 280 + 42 = 1,242.<\/p>\n<p>Question 9.<br \/>\n4 1<br \/>\n\u00d7 3 3<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _____<br \/>\nProduct: ______<\/p>\n<p>Answer:<br \/>\nEstimate: 1,200<br \/>\nProduct: 1,353<\/p>\n<p>Explanation:<br \/>\n<strong>Estimate:<\/strong> 41 is close to 40; 33 is close to 30.<br \/>\n40 x 30 = 1,200.<br \/>\n<strong>Product:<\/strong> 41 x 33<br \/>\n30 x 4 tens = 120 tens<br \/>\n30 x 1 ones = 30 ones<br \/>\n3 x 4 tens = 12 tens<br \/>\n3 x 1 ones = 3 ones.<br \/>\nAdd partial products.<br \/>\n1200 + 30 + 120 + 3 = 1,353.<\/p>\n<p>Question 10.<br \/>\n9 7<br \/>\n\u00d7 1 3<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _____<br \/>\nProduct: ______<\/p>\n<p>Answer:<br \/>\nEstimate: 1,300<br \/>\nProduct: 1,261<\/p>\n<p>Explanation:<br \/>\n<strong>Estimate:<\/strong> 97 is close to 100.<br \/>\n100 x 13 = 1,300.<br \/>\n<strong>Product:<\/strong> 97 x 13<br \/>\n10 x 9 tens = 90 tens<br \/>\n10 x 7 ones = 70 ones<br \/>\n3 x 9 tens = 27 tens<br \/>\n3 x 7 ones = 21 ones.<br \/>\nAdd partial products.<br \/>\n900 + 70 + 270 + 21 = 1,261.<\/p>\n<p>Question 11.<br \/>\n7 5<br \/>\n\u00d7 6 9<br \/>\n&#8212;&#8212;-<br \/>\nEstimate: _____<br \/>\nProduct: ______<\/p>\n<p>Answer:<br \/>\nEstimate: 5,600<br \/>\nProduct: 5,195<\/p>\n<p>Explanation:<br \/>\n<strong>Estimate:<\/strong> 75 is close to 80; 69 is close to 70.<br \/>\n80 x 70 = 5,600.<br \/>\n<strong>Product:<\/strong> 75 x 69<br \/>\n60 x 7 tens = 420 tens<br \/>\n60 x 5 ones = 300 ones<br \/>\n9 x 7 tens = 63 tens<br \/>\n9 x 5 ones = 45 ones.<br \/>\nAdd partial products.<br \/>\n4200 + 300 + 630 + 45 = 5,195.<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 12.<br \/>\nA movie theatre has 26 rows of seats. There are 18 seats in each row. How many seats are there in all?<br \/>\n______ seats<\/p>\n<p>Answer:<br \/>\n468 seats<\/p>\n<p>Explanation:<br \/>\n26 x 18 = 468 seats.<br \/>\n20 x 18 = 360<br \/>\n6 x 18 = 108<br \/>\n108+360 = 468.<\/p>\n<p>Question 13.<br \/>\nEach class at Briarwood Elementary collected at least 54 cans of food during the food drive. If there are 29 classes in the school, what was the least number of<br \/>\ncans collected?<br \/>\n______ cans<\/p>\n<p>Answer:<br \/>\n1,566 cans<\/p>\n<p>Explanation:<br \/>\nEach class at Briarwood Elementary collected at least 54 cans of food.<br \/>\nIf there are 29 classes in the school,<br \/>\nthe least number of cans collected = 54 x 29 = 1,566 cans.<\/p>\n<h3><a id=\"Choose_a_Multiplication_Method_Lesson_Check_2_-_Page_No._182\"><\/a>Common Core &#8211; Page No. 182<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nA choir needs new robes for each of its 46 singers. Each robe costs $32. What will be the total cost for all 46 robes?<br \/>\nOptions:<br \/>\na. $1,472<br \/>\nb. $1,372<br \/>\nc. $1,362<br \/>\nd. $230<\/p>\n<p>Answer:<br \/>\na. $1,472<\/p>\n<p>Explanation:<br \/>\n46 x $32<br \/>\n40 x $32 = $1,280<br \/>\n6 x $32 = $192<br \/>\n$1,280 + $192 = $1,472<\/p>\n<p>Question 2.<br \/>\nA wall on the side of a building is made up of 52 rows of bricks with 44 bricks in each row. How many bricks make up the wall?<br \/>\nOptions:<br \/>\na. 3,080<br \/>\nb. 2,288<br \/>\nc. 488<br \/>\nd. 416<\/p>\n<p>Answer:<br \/>\nb. 2,288<\/p>\n<p>Explanation:<br \/>\n52 x 44<br \/>\n50 x 44 = 2,200<br \/>\n2 x 44 = 88<br \/>\n2,200 + 88 = 2,288.<br \/>\n2,288 bricks make up the wall.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nWhich expression shows how to multiply 4 \u00d7 362 by using place value and expanded form?<br \/>\nOptions:<br \/>\na. (4 \u00d7 3) + (4 \u00d7 6) + (4 \u00d7 2)<br \/>\nb. (4 \u00d7 300) + (4 \u00d7 600) +(4 \u00d7 200)<br \/>\nc. (4 \u00d7 300) + (4 \u00d7 60) + (4 \u00d7 20)<br \/>\nd. (4 \u00d7 300) + (4 \u00d7 60) + (4 \u00d7 2)<\/p>\n<p>Answer:<br \/>\nd. (4 \u00d7 300) + (4 \u00d7 60) + (4 \u00d7 2)<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 362 = 1,448<br \/>\na. (4 \u00d7 3) + (4 \u00d7 6) + (4 \u00d7 2) = 12 + 24 + 8 = 44 not equal to 1,448.<br \/>\nb. (4 \u00d7 300) + (4 \u00d7 600) +(4 \u00d7 200) = 1200 + 2400 + 800 = 4,400 not equal to 1,448.<br \/>\nc. (4 \u00d7 300) + (4 \u00d7 60) + (4 \u00d7 20) = 1200 + 240 + 80 = 1,520 not equal to 1,448.<br \/>\nd. (4 \u00d7 300) + (4 \u00d7 60) + (4 \u00d7 2) = 1200 + 240 + 8 = 1,448 equal to 1,448.<\/p>\n<p>Question 4.<br \/>\nUse the model below. What is the product 4 x 492?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-28.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Common Core img 28\" width=\"276\" height=\"116\" \/><br \/>\nOptions:<br \/>\na. 16 + 36 + 8 = 60<br \/>\nb. 160 + 36 + 8 = 204<br \/>\nc. 160 + 360 + 8 = 528<br \/>\nd. 1,600 + 360 + 8 = 1,968<\/p>\n<p>Answer:<br \/>\nd. 1,600 + 360 + 8 = 1,968<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-2774\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-182-300x139.png\" alt=\"Grade 4 Chapter 3 Common Core 182\" width=\"300\" height=\"139\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-182-300x139.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-182.png 462w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n1,600 + 360 + 8 = 1,968<\/p>\n<p>Question 5.<br \/>\nWhat is the sum 13,094 + 259,728?<br \/>\nOptions:<br \/>\na. 272,832<br \/>\nb. 272,822<br \/>\nc. 262,722<br \/>\nd. 262,712<\/p>\n<p>Answer:<br \/>\nc. 262,722<\/p>\n<p>Explanation:<br \/>\n13,094 + 259,728 = 262,722<\/p>\n<p>Question 6.<br \/>\nDuring the 2008\u20132009 season, there were 801,372 people who attended the home hockey games in Philadelphia. There were 609,907 people who attended the home hockey games in Phoenix. How much greater was the home attendance in Philadelphia than in Phoenix that season?<br \/>\nOptions:<br \/>\na. 101,475<br \/>\nb. 191,465<br \/>\nc. 201,465<br \/>\nd. 202,465<\/p>\n<p>Answer:<br \/>\nb. 191,465<\/p>\n<p>Explanation:<br \/>\n801,372 &#8211; 609,907 = 191,465<br \/>\nPhiladelphia attendance is 191,465 greater than in Phoenix that season.<\/p>\n<h3><a id=\"Multiply_2-Digit_Numbers_-_Page_No._185\"><\/a>Page No. 185<\/h3>\n<p>Question 1.<br \/>\nAn average of 74 reports with bird counts were turned in each day in June. An average of 89 were turned in each day in July. How many reports were turned in for both months? (Hint: There are 30 days in June and 31 days in July.)<br \/>\nFirst, write the problem for June.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nGiven that An average of 74 reports with bird counts was turned in each day in June.<br \/>\nFor June Month, there are 30 days = 30 x 74 = 2,220.<\/p>\n<p>Question 1.<br \/>\nNext, write the problem for July.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nAn average of 89 reports with bird counts was turned in each day in July.<br \/>\nFor July Month, there are 31 days = 31 x 89 = 2,759.<\/p>\n<p>Question 1.<br \/>\nLast, find and add the two products.<br \/>\n____________ reports were turned in for both months.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nGiven that An average of 74 reports with bird counts was turned in each day in June.<br \/>\nFor June Month, there are 30 days = 30 x 74 = 2,220.<br \/>\nAn average of 89 reports with bird counts was turned in each day in July.<br \/>\nFor July Month, there are 31 days = 31 x 89 = 2,759.<br \/>\nAdd two products to get the total number of reports that were turned in for both months.<br \/>\n2,220 + 2,759 = 4,979.<\/p>\n<p>Question 2.<br \/>\nWhat if an average of 98 reports were turned in each day for the month of June? How many reports were turned in for June? Describe how your answer for June would be different.<br \/>\n______ reports<\/p>\n<p>Answer:<br \/>\n720 more reports<\/p>\n<p>Explanation:<br \/>\nGiven that an average of 98 reports was turned in each day for the month of June.<br \/>\nJune has 30 days.<br \/>\nTotal number of reports were turned in for June = 30 x 98 = 2, 940.<br \/>\nFrom the above answer, 98 \u2212 74 = 24. So, there would be 30 \u00d7 24, or 720 more reports.<\/p>\n<p>Question 3.<br \/>\nThere are 48 crayons in a box. There are 12 boxes in a carton. Mr. Johnson ordered 6 cartons of crayons for the school. How many crayons did he get?<br \/>\n______ crayons<\/p>\n<p>Answer:<br \/>\n3,456 crayons<\/p>\n<p>Explanation:<br \/>\nThere are 48 crayons in a box.<br \/>\nThere are 12 boxes in a carton.<br \/>\nSo, 1 carton = 48 x 12 = 576 crayons.<br \/>\nIf Mr. Johnson ordered 6 cartons of crayons for the school, 6 x 576 crayons = 3,456 crayons.<br \/>\nHe gets 3,456 crayons.<\/p>\n<p>Question 4.<br \/>\nMake Sense of Problems Each of 5 birdwatchers reported seeing 15 roseate spoonbills in a day. If they each reported seeing the same number of roseate spoonbills over 14 days, how many would be reported?<br \/>\n______ roseate spoonbills<\/p>\n<p>Answer:<br \/>\n1,050 roseate spoonbills<\/p>\n<p>Explanation:<br \/>\nGiven that, 1 day &#8211;&gt;5 birdwatchers reported 15 roseate spoonbills = 5 x 15 = 75 roseate spoonbills.<br \/>\nSo, in 14 days &#8211;&gt; 5 birdwatchers reported 75 x 14 = 1,050 roseate spoonbills.<\/p>\n<h3><a id=\"Multiply_2-Digit_Numbers_Lesson_Check_-_Page_No._186\"><\/a>Page No. 186<\/h3>\n<p>Question 5.<br \/>\nOn each of Maggie\u2019s bird-watching trips, she has seen at least 24 birds. If she has taken 4 of these trips each year over the past 16 years, at least how many birds has Maggie seen?<br \/>\nat least ______ birds<\/p>\n<p>Answer:<br \/>\nMaggie seen 1,536 birds<\/p>\n<p>Explanation:<br \/>\nGiven that, 1 trip &#8211;&gt; Maggie seen 24 birds.<br \/>\nFor 1 year she goes for 4 bird-watching trips.<br \/>\nSo, she has seen 4 x 24 = 96 birds for 1 year.<br \/>\nFor 16 years, 16 x 96 = 1,536 birds have Maggie seen.<\/p>\n<p>Question 6.<br \/>\nMake Sense of Problems There are 12 inches in a foot. In September, Mrs. Harris orders 32 feet of ribbon for the Crafts Club. In January, she orders 9 feet less. How many inches of ribbon does Mrs. Harris order? Explain how you found your answer.<br \/>\n______ inches<\/p>\n<p>Answer:<br \/>\n660 inches<\/p>\n<p>Explanation:<br \/>\nThere are 12 inches in a foot.<br \/>\nIn September, Mrs. Harris orders 32 feet of ribbon for the Crafts Club = 32 x 12 = 384.<br \/>\nIn January, she orders 9 feet less = 32 &#8211; 9 = 23.<br \/>\nSo, in January, she orders 23 x 12 = 276.<br \/>\nMrs. Harris order 276 + 384 = 660 inches of ribbon in total.<br \/>\n(or)<br \/>\n9 less than 32 is 23, so I added 23 + 32 = 55.<br \/>\nThen, I multiplied 55 \u00d7 12 = 660.<\/p>\n<p>Question 7.<br \/>\nLydia is having a party on Saturday. She decides to write a riddle on her invitations to describe her house number on Cypress Street. Use the clues to find Lydia\u2019s address.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-29.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 29\" width=\"396\" height=\"318\" \/><br \/>\n______ Cypress Street<\/p>\n<p>Answer:<br \/>\n14827 Cypress Street<\/p>\n<p>Explanation:<br \/>\nGiven that tens digit is 5 less than 7 = 7 &#8211; 5 = 2. 2 is the tens digit.<br \/>\nThe thousands digit is twice the digit in the tens place = 2 x 2 = 4.<br \/>\nThe hundreds digit is the greatest even number that is less than 10 i.e, 8.<br \/>\nThe ones digit is the product of 7 and 1 = 7 x 1 = 7.<br \/>\nThe ten thousands digit is the difference between the hundreds digit and the ones digit. So, 8 &#8211; 7 = 1.<br \/>\nAdd the products to get the final answer = 14827.<br \/>\nLydia\u2019s address ( house number ) is 14827 Cypress Street.<\/p>\n<p>Question 8.<br \/>\nA school is adding 4 rows of seats to the auditorium. There are 7 seats in each row. Each new seat costs $99. What is the total cost for the new seats? Show your work.<br \/>\n$ ______<\/p>\n<p>Answer:<br \/>\n$2,772<\/p>\n<p>Explanation:<br \/>\nGiven that A school is adding 4 rows of seats to the auditorium. There are 7 seats in each row.<br \/>\nSo, 7 x 4 = 28 seats are available in an auditorium.<br \/>\nEach new seat costs $99.<br \/>\n28 x $99 = $2,772 for total cost of the new seats.<\/p>\n<h3><a id=\"Multiply_2-Digit_Numbers_Lesson_Check_1_-_Page_No._187\"><\/a>Common Core &#8211; Page No. 187<\/h3>\n<p><strong>Problem Solving Multiply 2 &#8211; Digit numbers<\/strong><\/p>\n<p><strong>Solve each problem. Use a bar model to help.<\/strong><\/p>\n<p>Question 1.<br \/>\nMason counted an average of 18 birds at his bird feeder each day for 20 days. Gloria counted an average of 21 birds at her bird feeder each day for 16 days. How many more birds did Mason count at his feeder than Gloria counted at hers?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-30.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Common Core img 30\" width=\"307\" height=\"150\" \/><br \/>\nBirds counted by Mason: 18 \u00d7 20 = 360<br \/>\nBirds counted by Gloria: 21 \u00d7 16 = 336<br \/>\nDraw a bar model to compare.<br \/>\nSubtract. 360 &#8211; 336 = 24<br \/>\nSo, Mason counted <span style=\"text-decoration: underline;\">24<\/span> more birds.<\/p>\n<p>Answer:<br \/>\nBirds counted by Mason: 18 \u00d7 20 = 360<br \/>\nBirds counted by Gloria: 21 \u00d7 16 = 336<br \/>\nDraw a bar model to compare.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-30.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Common Core img 30\" width=\"307\" height=\"150\" \/><br \/>\nSubtract. 360 &#8211; 336 = 24<br \/>\nSo, Mason counted 24 more birds.<\/p>\n<p>Question 2.<br \/>\nThe 24 students in Ms. Lee\u2019s class each collected an average of 18 cans for recycling. The 21 students in Mr. Galvez\u2019s class each collected an average of 25 cans for recycling. How many more cans were collected by Mr. Galvez\u2019s class than Ms. Lee\u2019s class?<br \/>\n______ more cans<\/p>\n<p>Answer:<br \/>\nThe number of cans collected by Ms. Lee\u2019s class = 18 x 24 = 432.<br \/>\nThe number of cans collected by Mr. Galvez\u2019s class = 25 x 21 = 525.<br \/>\nUse Bar Model<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-2777\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-187-300x150.png\" alt=\"Grade 4 Chapter 3 Common Core 187\" width=\"300\" height=\"150\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-187-300x150.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-187.png 443w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nSubtract. 525 &#8211; 432 = 93 more cans.<br \/>\nSo, Mr. Galvez\u2019s class collected 93 more cans than Ms. Lee\u2019s class.<\/p>\n<p>Question 3.<br \/>\nAt East School, each of the 45 classrooms has an average of 22 students. At West School, each of the 42 classrooms has an average of 23 students. How many more students are at East School than at West School?<br \/>\n______ more students<\/p>\n<p>Answer:<br \/>\nStudents in East school = 45 x 22 = 990.<br \/>\nStudents in West School = 42 x 23 = 966.<br \/>\nUse Bar Model<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-2778\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-2-187-300x133.png\" alt=\"Grade 4 Chapter 3 Common Core image 2 187\" width=\"300\" height=\"133\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-2-187-300x133.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-2-187.png 453w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nSubtract. 990 &#8211; 966 = 24.<br \/>\nSo, East School has 24 students more than West School.<\/p>\n<p>Question 4.<br \/>\nA zoo gift shop orders 18 boxes of 75 key rings each and 15 boxes of 80 refrigerator magnets each. How many more key rings than refrigerator magnets does the gift shop order?<br \/>\n______ more key rings<\/p>\n<p>Answer:<br \/>\nNumber of Key Rings = 75 x 18 = 1,350.<br \/>\nNumber of Refrigerator Magnets= 80 x 15 = 1,200.<br \/>\nUse Bar Model<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-2780\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-3-187-300x142.png\" alt=\"Grade 4 Chapter 3 Common Core image 3 187\" width=\"300\" height=\"142\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-3-187-300x142.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-3-187.png 457w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nSubtract. 1,350 &#8211; 1,200 = 150.<br \/>\nSo, key rings are 150 more than refrigerator magnets.<\/p>\n<h3><a id=\"Multiply_2-Digit_Numbers_Lesson_Check_2_-_Page_No._188\"><\/a>Common Core &#8211; Page No. 188<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nAce Manufacturing ordered 17 boxes with 85 ball bearings each. They also ordered 15 boxes with 90 springs each. How many more ball bearings than springs did they order?<br \/>\nOptions:<br \/>\na. 5<br \/>\nb. 85<br \/>\nc. 90<br \/>\nd. 95<\/p>\n<p>Answer:<br \/>\nd. 95<\/p>\n<p>Explanation:<br \/>\nNumber of ball bearings = 85 x 17 = 1,445.<br \/>\nNumber of springs = 90 x 15 = 1,350.<br \/>\nUse Bar Model<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-2779\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-1-188-300x138.png\" alt=\"Grade 4 Chapter 3 Common Core image 1 188\" width=\"300\" height=\"138\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-1-188-300x138.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-1-188.png 448w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nSubtract. 1,445 &#8211; 1,350 = 95.<br \/>\nSo, ball bearings are 95 more than springs.<\/p>\n<p>Question 2.<br \/>\nElton hiked 16 miles each day on a 12-day hiking trip. Lola hiked 14 miles each day on her 16-day hiking trip. In all, how many more miles did Lola hike than Elton hiked?<br \/>\nOptions:<br \/>\na. 2 miles<br \/>\nb. 18 miles<br \/>\nc. 32 miles<br \/>\nd. 118 miles<\/p>\n<p>Answer:<br \/>\nc. 32 miles<\/p>\n<p>Explanation:<br \/>\nHiking trip by Elton = 12 x 16 = 192.<br \/>\nHiking trip by Lola = 16 x 14 = 224.<br \/>\nUse Bar Model<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-2781\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-2-188-300x147.png\" alt=\"Grade 4 Chapter 3 Common Core image 2 188\" width=\"300\" height=\"147\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-2-188-300x147.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-2-188.png 454w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nSubtract. 224 &#8211; 192 = 32.<br \/>\nSo, the Hiking trip by Lola is 32 times more than the Hiking trip by Elton.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nAn orchard has 24 rows of apple trees. There are 35 apple trees in each row. How many apple trees are in the orchard?<br \/>\nOptions:<br \/>\na. 59<br \/>\nb. 192<br \/>\nc. 740<br \/>\nd. 840<\/p>\n<p>Answer:<br \/>\nd. 840<\/p>\n<p>Explanation:<br \/>\nAn orchard has 24 rows of apple trees. There are 35 apple trees in each row.<br \/>\n24 x 35 = 840 apple trees are in the orchard.<\/p>\n<p>Question 4.<br \/>\nAn amusement park reported 354,605 visitors last summer. What is this number rounded to the nearest thousand?<br \/>\nOptions:<br \/>\na. 354,600<br \/>\nb. 355,000<br \/>\nc. 360,000<br \/>\nd. 400,000<\/p>\n<p>Answer:<br \/>\nb. 355,000<\/p>\n<p>Explanation:<br \/>\nAn amusement park reported 354,605 visitors last summer. 4,605 is close to 5,000. So, the answer is 355,000.<\/p>\n<p>Question 5.<br \/>\nAttendance at the football game was 102,653. What is the value of the digit 6?<br \/>\nOptions:<br \/>\na. 6<br \/>\nb. 60<br \/>\nc. 600<br \/>\nd. 6,000<\/p>\n<p>Answer:<br \/>\nc. 600<\/p>\n<p>Explanation:<br \/>\nDigit 6 is at hundreds of positions. So, the answer is 6 x 100 = 600.<\/p>\n<p>Question 6.<br \/>\nJill\u2019s fish weighs 8 times as much as her parakeet. Together, the pets weigh 63 ounces. How much does the fish weigh?<br \/>\nOptions:<br \/>\na. 7 ounces<br \/>\nb. 49 ounces<br \/>\nc. 55 ounces<br \/>\nd. 56 ounces<\/p>\n<p>Answer:<br \/>\nd. 56 ounces<\/p>\n<p>Explanation:<br \/>\nLet Jill\u2019s parakeet = X.<br \/>\nJill\u2019s fish weighs 8 times as much as her parakeet = 8X.<br \/>\nTogether, the pets weigh 63 ounces.<br \/>\nX + 8X = 63.<br \/>\n9X = 63.<br \/>\nX = 63\/9 = 7.<br \/>\nSo, Jill\u2019s parakeet =7.<br \/>\nJill\u2019s fish = 7 x 8 = 56 ounces.<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._189\"><\/a>Review\/Test &#8211; Page No. 189<\/h3>\n<p>Question 1.<br \/>\nExplain how to find 40 \u00d7 50 using mental math<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n200<\/p>\n<p>Explanation:<br \/>\n40 x 50<br \/>\nBy using mental math<br \/>\n4 x 5 = 20<br \/>\n40 x 50 = 200<\/p>\n<p><strong>Mrs. Traynor\u2019s class is taking a field trip to the zoo. The trip will cost $26 for each student. There are 22 students in her class.<\/strong><\/p>\n<p>Question 2.<br \/>\nPart A<br \/>\nRound each factor to estimate the total cost of the students\u2019 field trip.<br \/>\n$ ______<\/p>\n<p>Answer:<br \/>\n$600<\/p>\n<p>Explanation:<br \/>\nTotal cost of the students\u2019 field trip = 22 x $26.<br \/>\n22 x $26<br \/>\n20 x $30 = $600<br \/>\nThe total cost would be about $600.<\/p>\n<p>Question 2.<br \/>\nPart B<br \/>\nUse compatible numbers to estimate the total cost of the field trip.<br \/>\n$ ______<\/p>\n<p>Answer:<br \/>\n$500<\/p>\n<p>Explanation:<br \/>\nIf we use compatible numbers to estimate the total cost of the field trip.<br \/>\n22 x $26<br \/>\n20 \u00d7 25 = 500<br \/>\nThe total cost would be about $500.<\/p>\n<p>Question 2.<br \/>\nPart C<br \/>\nWhich do you think is the better estimate? Explain.<br \/>\nBetter estimate: _________<\/p>\n<p>Answer:<br \/>\nUsing rounded numbers is a better estimate. When rounded numbers are used, one estimated factor was $4 more than the actual factor and the other estimated factor was $2 that is less than the actual factor. So, the estimate should be close to the actual one. When compatible numbers are used both estimated factors were less than the actual factors. So, the product will be an underestimate.<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._190\"><\/a>Review\/Test &#8211; Page No. 190<\/h3>\n<p><strong>For numbers 3a\u20133e, select Yes or No to show if the answer is correct.<\/strong><\/p>\n<p>Question 3.<br \/>\n3a. 35 \u00d7 10 = 350<br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer:<br \/>\ni. yes<\/p>\n<p>Explanation:<br \/>\n35 x 10 = 350<br \/>\n30 x 10 = 300.<br \/>\n5 x 10 = 50.<br \/>\n300 + 50 = 350.<\/p>\n<p>Question 3.<br \/>\n3b. 19 \u00d7 20 = 380<br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer:<br \/>\ni. yes<\/p>\n<p>Explanation:<br \/>\n19 \u00d7 20 = 380<br \/>\n19 x 20 = 19 x 2 tens.<br \/>\n19 x 20 = 38 tens = 380.<\/p>\n<p>Question 3.<br \/>\n3c. 12 \u00d7 100 = 120<br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer:<br \/>\nii. no<\/p>\n<p>Explanation:<br \/>\n12 x 100 = 120.<br \/>\n10 x 100 = 1000<br \/>\n2 x 100 = 200.<br \/>\n1000 + 200 = 1200.<\/p>\n<p>Question 3.<br \/>\n3d. 70 \u00d7 100 = 7,000<br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer:<br \/>\ni. yes<\/p>\n<p>Explanation:<br \/>\n70 x 100 = 7,000<br \/>\n100 x 7 tens = 700 tens = 7,000<\/p>\n<p>Question 3.<br \/>\n3e. 28 \u00d7 30 = 2,100<br \/>\ni. yes<br \/>\nii. no<\/p>\n<p>Answer:<br \/>\nii. no<\/p>\n<p>Explanation:<br \/>\n28 \u00d7 30<br \/>\n20 x 30 = 600<br \/>\n8 x 30 = 240<br \/>\n600 + 240 = 840<\/p>\n<p>Question 4.<br \/>\nThere are 23 boxes of pencils in Mr. Shaw\u2019s supply cabinet. Each box contains 100 pencils. How many pencils are in the supply cabinet?<br \/>\n_____ penciles<\/p>\n<p>Answer:<br \/>\n2,300 pencils<\/p>\n<p>Explanation:<br \/>\n23 x 100 = 2,300 pencils are in the supply cabinet.<\/p>\n<p>Question 5.<br \/>\nWhich would provide a reasonable estimate for each product? Write the estimate beside the product. An estimate may be used more than once<br \/>\n23 \u00d7 38 __________<br \/>\n31 \u00d7 32 __________<br \/>\n46 \u00d7 18 __________<br \/>\n39 \u00d7 21 __________<\/p>\n<p>Answer:<br \/>\n23 \u00d7 38 &#8211;&gt; 25 x 40<br \/>\n31 x 32 &#8211;&gt; 30 \u00d7 30<br \/>\n46 \u00d7 18 &#8211;&gt; 50 \u00d7 20<br \/>\n39 \u00d7 21 &#8211;&gt; 25 \u00d7 40<\/p>\n<p>Explanation:<br \/>\n23 \u00d7 38; 23 is close to 25; 38 is close to 40.<br \/>\nSo, the estimated product is 25 x 40<br \/>\n31 x 32; 31 is close to 30; 32is close to 30.<br \/>\nSo, the estimated product is 30 \u00d7 30<br \/>\n46 \u00d7 18; 46 is close to 50; 18 is close to 20.<br \/>\nSo, the estimated product is 50 \u00d7 20<br \/>\n39 \u00d7 21; 39 is close to 40; 21 is close to 25.<br \/>\nSo, the estimated product is 25 \u00d7 40<\/p>\n<p>Question 6.<br \/>\nThere are 26 baseball teams in the league. Each team has 18 players. Write a number sentence that will provide a reasonable estimate for the number of players in the league. Explain how you found your estimate.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nThere are 26 baseball teams in the league. Each team has 18 players.<br \/>\n26 x 18<br \/>\n25 x 20<br \/>\nWe Rounded each factor to its close factor, then simplified the multiplication.<\/p>\n<p>Question 7.<br \/>\nThe model shows 48 \u00d7 37. Write the partial products.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-31.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Review\/Test img 31\" width=\"262\" height=\"169\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2783\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-1-190.png\" alt=\"Grade 4 Chapter 3 Common Core image 1 190\" width=\"237\" height=\"146\" \/><br \/>\nPartial Products are 1200, 240, 280, 56<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._191\"><\/a>Review\/Test &#8211; Page No. 191<\/h3>\n<p>Question 8.<br \/>\nJess made this model to find the product 32 \u00d7 17. Her modelis incorrect.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-32.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Review\/Test img 32\" width=\"138\" height=\"242\" \/><br \/>\nPart A<br \/>\nWhat did Jess do wrong?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nJess added the numbers in the model instead of multiplying.<\/p>\n<p>Question 8.<br \/>\nPart B<br \/>\nRedraw the model so that it is correct.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-33.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Review\/Test img 33\" width=\"104\" height=\"190\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-2784\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-2-190.png\" alt=\"Grade 4 Chapter 3 Common Core image 2 190\" width=\"116\" height=\"179\" \/><\/p>\n<p>Question 8.<br \/>\nPart C<br \/>\nWhat is the actual product 32 \u00d7 17?<br \/>\n______<\/p>\n<p>Answer:<br \/>\n544<\/p>\n<p>Explanation:<br \/>\n32 \u00d7 17<br \/>\n10 x 32 = 320<br \/>\n7 x 32 = 224<br \/>\n320 + 224 = 544.<\/p>\n<p>Question 9.<br \/>\nTatum wants to use partial products to find 15 \u00d7 32. Write the numbers in the boxes to show 15 \u00d7 32.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-34.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Review\/Test img 34\" width=\"595\" height=\"61\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-2785\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-4-190-300x32.png\" alt=\"Grade 4 Chapter 3 Common Core image 4 190\" width=\"356\" height=\"38\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-4-190-300x32.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-4-190.png 455w\" sizes=\"(max-width: 356px) 100vw, 356px\" \/><\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._192\"><\/a>Review\/Test &#8211; Page No. 192<\/h3>\n<p>Question 10.<br \/>\nWhich product is shown by the model? Write the letter of the product on the line below the model.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-35.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Review\/Test img 35\" width=\"570\" height=\"190\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-35.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Review\/Test img 35\" width=\"570\" height=\"190\" \/><br \/>\n<strong>C\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 A\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 B<br \/>\n<\/strong>10 + 3 = 13<br \/>\n10 + 3 = 13<br \/>\n<strong>13 x 13<\/strong><br \/>\n2. 10 + 7 = 17<br \/>\n30 + 6 = 36<br \/>\n<strong>17 x 36<\/strong><br \/>\n3. 20 + 4 = 24<br \/>\n10 + 4 = 14<br \/>\n<strong>24 x 14<br \/>\n<\/strong><\/p>\n<p>Question 11.<br \/>\nMrs. Jones places 3 orders for school T-shirts. Each order has 16 boxes of shirts and each box holds 17 shirts. How many T-shirts does Mrs. Jones order? Use partial products to help you.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n816 T-shirts<\/p>\n<p>Explanation:<br \/>\nMrs. Jones places 3 orders for school T-shirts. Each order has 16 boxes of shirts and each box holds 17 shirts.<br \/>\nEach box has 17 shirts.<br \/>\n16 boxes = 16 x 17 = 272.<br \/>\nEach order = 16 boxes = 272 shirts.<br \/>\n3 orders = 3 x 272 = 816 shirts.<br \/>\nMrs. Jones order 816 T-shirts.<\/p>\n<p>Question 12.<br \/>\nWrite the unknown digits. Use each digit exactly once.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-36.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Review\/Test img 36\" width=\"397\" height=\"197\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-2787\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-1-192-300x148.png\" alt=\"Grade 4 Chapter 3 Common Core image 1 192\" width=\"300\" height=\"148\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-1-192-300x148.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/Grade-4-Chapter-3-Common-Core-image-1-192.png 326w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n90 x 40 = 3,600<br \/>\n90 x 6 = 540<br \/>\n3 x 40 = 120<br \/>\n3 x 6 = 18.<br \/>\n3,600 + 540 + 120 + 8 = 4,278.<\/p>\n<p>Question 13.<br \/>\nMike has 16 baseball cards. Niko has 17 times as many baseball cards as Mike does. How many baseball cards does Niko have?<br \/>\n________ baseball cards<\/p>\n<p>Answer:<br \/>\n272 baseball cards<\/p>\n<p>Explanation:<br \/>\nMike has 16 baseball cards. Niko has 17 times as many baseball cards as Mike does.<br \/>\nNiko have 16 x 17 = 272 baseball cards.<\/p>\n<p>Question 14.<br \/>\nMultiply.<br \/>\n36 \u00d7 28 = ________<\/p>\n<p>Answer:<br \/>\n1,008<\/p>\n<p>Explanation:<br \/>\n36 x 28<br \/>\n20 x 30 = 600<br \/>\n20 x 6 = 120<br \/>\n8 x 30 = 240<br \/>\n8 x 6 = 48<br \/>\n600 + 120 + 240 + 48 = 1,008<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._193\"><\/a>Review\/Test &#8211; Page No. 193<\/h3>\n<p>Question 15.<br \/>\nA farmer planted 42 rows of tomatoes with 13 plants in each row. How many tomato plants did the farmer grow?<br \/>\n42 \u00d7 13 = ______ tomato plants<\/p>\n<p>Answer:<br \/>\n420 + 126 = 546 tomato plants<\/p>\n<p>Explanation:<br \/>\n42 \u00d7 13<br \/>\n10 x 42 = 420<br \/>\n3 x 42 = 126<br \/>\n420 + 126 = 546 tomato plants<\/p>\n<p>Question 16.<br \/>\nSelect another way to show 25 \u00d7 18. Mark all that apply.<br \/>\nOptions:<br \/>\na. (20 \u00d7 10) + (20 \u00d7 8) + (5 \u00d7 10) + (5 \u00d7 8)<br \/>\nb. (25 \u00d7 20) + (25 \u00d7 5) + (25 \u00d7 10) + (25 \u00d7 8)<br \/>\nc. (20 \u00d7 18) + (5 \u00d7 10) + (5 \u00d7 8)<br \/>\nd. (25 \u00d7 10) + (25 \u00d7 8)<br \/>\ne. (25 \u00d7 20) + (25 \u00d7 5)<\/p>\n<p>Answer:<br \/>\na. (20 \u00d7 10) + (20 \u00d7 8) + (5 \u00d7 10) + (5 \u00d7 8)<br \/>\nc. (20 \u00d7 18) + (5 \u00d7 10) + (5 \u00d7 8)<br \/>\nd. (25 \u00d7 10) + (25 \u00d7 8)<\/p>\n<p>Explanation:<br \/>\n25 \u00d7 18<br \/>\n10 x 25 = 250<br \/>\n8 x 25 = 200<br \/>\n250 + 200 = 450.<br \/>\na. (20 \u00d7 10) + (20 \u00d7 8) + (5 \u00d7 10) + (5 \u00d7 8) = 200 + 160 + 50 + 40 = 450<br \/>\nb. (25 \u00d7 20) + (25 \u00d7 5) + (25 \u00d7 10) + (25 \u00d7 8) = 500 + 125 + 250 + 200 = 1,075<br \/>\nc. (20 \u00d7 18) + (5 \u00d7 10) + (5 \u00d7 8) = 360 + 50 + 40 = 450<br \/>\nd. (25 \u00d7 10) + (25 \u00d7 8) = 250 + 200 = 450<br \/>\ne. (25 \u00d7 20) + (25 \u00d7 5) = 500 + 125 = 625<\/p>\n<p>Question 17.<br \/>\nTerrell runs 15 sprints. Each sprint is 65 meters. How many meters does Terrell run? Show your work.<br \/>\n______ meters<\/p>\n<p>Answer:<br \/>\n975 meters<\/p>\n<p>Explanation:<br \/>\nTerrell run 15 x 65 = 975 meters.<\/p>\n<p>Question 18.<br \/>\nThere are 3 new seats in each row in a school auditorium. There are 15 rows in the auditorium. Each new seat cost $74. What is the cost for the new seats? Explain how you found your answer.<br \/>\n$ ______<\/p>\n<p>Answer:<br \/>\n$3,330<\/p>\n<p>Explanation:<br \/>\nGiven that There are 3 new seats in each row in a school auditorium. There are 15 rows in the auditorium. Each new seat cost $74.<br \/>\nSo, 3 x 15 = 45 seats are available in an auditorium.<br \/>\nEach new seat costs $74.<br \/>\n45 x $74 = $3,330 for total cost of the new seats.<\/p>\n<p>Question 19.<br \/>\nRay and Ella helped move their school library to a new building. Ray packed 27 boxes with 25 books in each box. Ella packed 23 boxes with 30 books in each box. How many more books did Ella pack? Show your work.<br \/>\n______ books<\/p>\n<p>Answer:<br \/>\n15 books<\/p>\n<p>Explanation:<br \/>\nRay packed 27 x 25 = 675 books.<br \/>\nElla packed 23 x 30 = 690 books<br \/>\nElla packed 690 &#8211; 675 = 15 books more than Ray.<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._194\"><\/a>Review\/Test &#8211; Page No. 194<\/h3>\n<p>Question 20.<br \/>\nJulius and Walt are finding the product of 25 and 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-1425 size-full\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-37.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers Review\/Test img 37\" width=\"183\" height=\"209\" \/><br \/>\nPart A<br \/>\nJulius\u2019 answer is incorrect. What did Julius do wrong?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nJulius multiplied 25 by 10 and then multiplied 25 by 6 correctly. He added the two partial products incorrectly.<\/p>\n<p>Question 20.<br \/>\nPart B<br \/>\nWhat did Walt do wrong?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nWalt multiplied 6 by 5 and got 300 instead of 30<\/p>\n<p>Question 20.<br \/>\nPart C<br \/>\nWhat is the correct product?<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n25 x 16 = 400<\/p>\n<p>Question 21.<br \/>\nA clothing store sells 26 shirts and 22 pairs of jeans. Each item of clothing costs $32.<br \/>\nPart A<br \/>\nWhat is a reasonable estimate for the total cost of the clothing?<br \/>\nShow or explain how you found your answer.<br \/>\n$ ______<\/p>\n<p>Answer:<br \/>\n$1500<\/p>\n<p>Explanation:<br \/>\nA clothing store sells 26 shirts and 22 pairs of jeans. 26 + 22 = 48 clothes.<br \/>\nEach item of clothing costs $32.<br \/>\n48 x $32<br \/>\n50 x $30 = $1500<\/p>\n<p>Question 21.<br \/>\nPart B<br \/>\nWhat is the exact answer for the total cost of the clothing? Show or explain how you found your answer.<br \/>\n$ ______<\/p>\n<p>Answer:<br \/>\n$1,536<\/p>\n<p>Explanation:<br \/>\n48 x $32<br \/>\n40 x $32 = $1,280<br \/>\n8 x $32 = $256<br \/>\n$1,280 + $256 = $1,536<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._199\"><\/a>Page No. 199<\/h3>\n<p>Question 1.<br \/>\nA restaurant has 68 chairs. There are six chairs at each table. About how many tables are in the restaurant?<br \/>\nEstimate. 68 \u00f7 6<br \/>\nThink: What number times 6 is about 68?<br \/>\n10 \u00d7 6 = ___<br \/>\n11 \u00d7 6 = ___<br \/>\n12 \u00d7 6 = ___<br \/>\n68 is closest to ______, so the best estimate is about _______ tables are in the restaurant.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n68 is close to 70 and 6 is close to 5.<br \/>\nSo, 70\/5 = 12.<br \/>\n10 \u00d7 6 = __60_<br \/>\n11 \u00d7 6 = _66__<br \/>\n12 \u00d7 6 = _72__<br \/>\n68 is closest to ___66___, so the best estimate is about 11 x 6 = 66 tables are in the restaurant.<\/p>\n<p><strong>Find two numbers the quotient is between. Then estimate the quotient.<\/strong><\/p>\n<p>Question 2.<br \/>\n41 \u00f7 3<br \/>\nbetween _______ and _______<\/p>\n<p>Answer:<br \/>\nbetween 13 and 14<br \/>\nabout 14<\/p>\n<p>Explanation:<br \/>\n13 x 3 = 39; 14 x 3 = 42.<br \/>\nThe quotient of 41 \u00f7 3 is between 13 and 14.<\/p>\n<p>Question 3.<br \/>\n192 \u00f7 5<br \/>\nbetween _______ and _______<\/p>\n<p>Answer:<br \/>\nbetween 30 and 40<br \/>\nabout 40<\/p>\n<p>Explanation:<br \/>\n30 x 5 = 150; 40 x 5 = 200.<br \/>\nThe quotient of 192 \u00f7 5 is between 30 and 40.<\/p>\n<p><strong>Find two numbers the quotient is between. Then estimate the quotient.<\/strong><\/p>\n<p>Question 4.<br \/>\n90 \u00f7 7<br \/>\nbetween _______ and _______<\/p>\n<p>Answer:<br \/>\nbetween 12 and 13<br \/>\nabout 13<\/p>\n<p>Explanation:<br \/>\n12 x 7 = 84; 13 x 7 = 91.<br \/>\nThe quotient of 90 \u00f7 7 is between 12 and 13.<\/p>\n<p>Question 5.<br \/>\n67 \u00f7 4<br \/>\nbetween _______ and _______<\/p>\n<p>Answer:<br \/>\nbetween 16 and 17<br \/>\nabout 17<\/p>\n<p>Explanation:<br \/>\n16 x 4 = 64; 17 x 4 = 68.<br \/>\nThe quotient of 67 \u00f7 4 is between 16 and 17.<\/p>\n<p>Question 6.<br \/>\n281 \u00f7 9<br \/>\nbetween _______ and _______<\/p>\n<p>Answer:<br \/>\nbetween 30 and 40<br \/>\nabout 30<\/p>\n<p>Explanation:<br \/>\n30 x 9 = 270; 40 x 9 = 360.<br \/>\nThe quotient of 281 \u00f7 9 is between 30 and 40.<\/p>\n<p>Question 7.<br \/>\n102 \u00f7 7<br \/>\nbetween _______ and _______<\/p>\n<p>Answer:<br \/>\nbetween 14 and 15<br \/>\nabout 15<\/p>\n<p>Explanation:<br \/>\n14 x 7 = 98; 15 x 7 = 105.<br \/>\nThe quotient of 102 \u00f7 7 is between 14 and 15.<\/p>\n<p>Question 8.<br \/>\n85 \u00f7 6<br \/>\nbetween _______ and _______<\/p>\n<p>Answer:<br \/>\nbetween 14 and 15<br \/>\nabout 14<\/p>\n<p>Explanation:<br \/>\n14 x 6 = 84; 15 x 6 = 90.<br \/>\nThe quotient of 85 \u00f7 6 is between 14 and 15.<\/p>\n<p>Question 9.<br \/>\n220 \u00f7 8<br \/>\nbetween _______ and _______<\/p>\n<p>Answer:<br \/>\nbetween 20 and 30<br \/>\nabout 30<\/p>\n<p>Explanation:<br \/>\n20 x 8 = 160; 30 x 8 = 240.<br \/>\nThe quotient of 220 \u00f7 8 is between 20 and 30.<\/p>\n<p><strong>Decide whether the actual quotient is greater than or less than the estimate given. Write &lt; or &gt;.<\/strong><\/p>\n<p>Question 10.<br \/>\n83 \u00f7 8 _______ 10<\/p>\n<p>Answer:<br \/>\n&gt;<\/p>\n<p>Explanation:<br \/>\n83 \u00f7 8 = 10.375 &gt; 10<\/p>\n<p>Question 11.<br \/>\n155 \u00f7 4 _______ 40<\/p>\n<p>Answer:<br \/>\n&lt;<\/p>\n<p>Explanation:<br \/>\n155 \u00f7 4 = 38.75 &lt; 40<\/p>\n<p>Question 12.<br \/>\n70 \u00f7 6 _______ 11<\/p>\n<p>Answer:<br \/>\n&gt;<\/p>\n<p>Explanation:<br \/>\n70 \u00f7 6 = 11.666 &gt; 11<\/p>\n<p>Question 13.<br \/>\nWhat\u2019s the Question? A dolphin\u2019s heart beats 688 times in 6 minutes. Answer: about 100 times.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nAbout how many times does a dolphin\u2019s heart beats in 1 minute?<\/p>\n<p>Question 14.<br \/>\nAnalyze A mother bottlenose ate about 278 pounds of food in one week. About how much food did she eat in a day?<br \/>\nabout _____ pounds<\/p>\n<p>Answer:<br \/>\nabout 40 pounds<\/p>\n<p>Explanation:<br \/>\n278 \u00f7 7<br \/>\nThe quotient of 278 \u00f7 7 is between 39 and 40.<\/p>\n<p>Question 15.<br \/>\nTanya has $42 to spend at the Dolphin Island store. T-shirts sell for $7 each and a pair of sunglasses sells for $6. Tanya buys 3 T-shirts. How many pairs of sunglasses can she buy with the amount of money she has left?<br \/>\n_____ pairs of sunglasses<\/p>\n<p>Answer:<br \/>\n3 pairs of sunglasses<\/p>\n<p>Explanation:<br \/>\nGiven that Tanya has $42 to spend at the Dolphin Island store. T-shirts sell for $7 each and a pair of sunglasses sell for $6.<br \/>\nTanya buys 3 T-shirts = 3 x $7 = $21.<br \/>\npair of sunglasses = $42 &#8211; $21 = $21.<br \/>\n1 pair of sunglasses sells for $6.<br \/>\nSo, $21 \u00f7 $7 = 3.<br \/>\n3 pairs of sunglasses can Tanya buy with the amount of money she has left.<\/p>\n<h3><a id=\"Review\/Test_\u2013_Page_No._200\"><\/a>Page No. 200<\/h3>\n<p>Question 16.<br \/>\nIf a bottlenose dolphin can eat 175 pounds of fish, squid, and shrimp in a week, about how many pounds of food does it eat in a day? Milo says the answer is about 20 pounds. Leah says the answer is about 30 pounds. Who is correct? Explain.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-3-Multiply-2-Digit-Numbers-img-38.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers img 38\" width=\"251\" height=\"291\" \/><br \/>\n________<\/p>\n<p>Answer:<br \/>\nThe bottlenose dolphin can eat 25 pounds for 1 day.<br \/>\nBoth answers are correct. Because the 25 pounds is in between 20 and 30 pounds.<\/p>\n<p>Explanation:<br \/>\n1 week = 7 days.<br \/>\nThe bottlenose dolphin can eat 175 pounds for 7 days.<br \/>\nFor 1 day = 175 \u00f7 7 = 25 pounds.<br \/>\nThe bottlenose dolphin can eat 25 pounds for 1 day.<br \/>\nBoth answers are correct. Because the 25 pounds is in between 20 and 30 pounds.<\/p>\n<p>Question 17.<br \/>\nFour families went out for lunch. The total food bill came to $167. The families also left a $30 tip for the waitress. If each family spent the same amount, about how much did each family spend on dinner? Explain how you found your answer.<br \/>\n$ ______<\/p>\n<p>Answer:<br \/>\n$98.5<\/p>\n<p>Explanation:<br \/>\nFour families went out for lunch. The total food bill came to $167. The families also left a $30 tip for the waitress.<br \/>\nSo, total amount = $167 + $30 = $197.<br \/>\nIf each family spent the same amount = $197 \u00f7 2 = $98.5<br \/>\nEach family spent $98.5.<\/p>\n<p>Question 18.<br \/>\nThere are 6 showings of a film about Van Gogh at the Art Museum. A total of 459 people saw the film. The same number of people were at each showing. About how many people were at each showing? Circle the numbers the quotient is between. Then explain how you found your answer.<br \/>\n40 50 60 70 80<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n40 50 60 <strong>70<\/strong> <strong>80<br \/>\n<\/strong>I found multiples of 6 that 459 is between. 70 \u00d7 6 = 420 and 80 \u00d7 6 = 480. Since 459 is closer to 480, 459 \u00f7 6 is about 80.<\/p>\n<h3>Conclusion<\/h3>\n<p>Hope the data shared about Go Math Grade 4 Answer Key Chapter 3 Multiply 2- Digit Number has helped you in your preparation. If you feel any learning is missing do give us your suggestions and we will consider them if possible. Just keep on visiting our site to get the latest update on <strong>Grade 4 Go Math HMH Answer Keys<\/strong> for other chapters as well.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Are you seeing everywhere to find Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers in pdf? If so, you have stepped onto the right page. On this page, we have compiled a pdf formatted HMH Go Math Grade 4 Chapter 3 Multiply 2-Digit Numbers Answer Key. 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