{"id":15054,"date":"2022-04-07T09:30:00","date_gmt":"2022-04-07T04:00:00","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=15054"},"modified":"2022-04-07T10:59:27","modified_gmt":"2022-04-07T05:29:27","slug":"big-ideas-math-answers-grade-5-chapter-4","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5-chapter-4\/","title":{"rendered":"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers"},"content":{"rendered":"<p>Get the free pdf of <strong>Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers.<\/strong> Every problem is explained with the solution and explanation on Big Ideas Multiply Whole Numbers Grade 5 Chapter 4 Math Answers. Our highly trained experts are provided the concepts in a simple way where every student can understand the solving methods. Also, various methods are included to solve the math problems. Therefore, practice all problems and score good marks in the exam. Every explanation is mainly explained with images, graphs, tables, and, etc. So, students will not face any problems to solve the basic questions too difficult questions.<\/p>\n<h2>Big Ideas 5th Grade Chapter 4 Multiply Whole NumbersMath Book Answer Key<\/h2>\n<p>Save your time by finding every concept and its related problems individually. Quickly go through the below links and check out all the topics with problems. Mainly, concentrate on concepts to prepare and solve the questions on your own. If you understand the concept, it becomes easier to solve difficult problems easily. <em><strong>Download<a href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5\/\"> Big Ideas Math Book 5th Grade Answers<\/a> Chapter 4 Multiply Whole Numbers pd<\/strong><strong>f<\/strong><\/em> and start your practice now. We have also included exercises for the better practice of students.<\/p>\n<p><strong>Lesson: 1 Multiplication Patterns<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_4.1_Multiplication_Patterns\">Lesson 4.1 Multiplication Patterns<\/a><\/li>\n<li><a href=\"#Multiplication_Patterns_Homework_&amp;_Practice_4.1\">Multiplication Patterns Homework &amp; Practice 4.1<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 2 Estimate Products<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_4.2_Estimate_Products\">Lesson 4.2 Estimate Products<\/a><\/li>\n<li><a href=\"#Estimate_Products_Homework_&amp;_Practice_4.2\">Estimate Products Homework &amp; Practice 4.2<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 3 Multiply by One-Digit Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_4.3_Multiply_by_One-Digit_Numbers\">Lesson 4.3 Multiply by One-Digit Numbers<\/a><\/li>\n<li><a href=\"#Multiply_by_One-Digit_Numbers_Homework_&amp;_Practice_4.3\">Multiply by One-Digit Numbers Homework &amp; Practice 4.3<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 4 Multiply by Two-Digit Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_4.4_Multiply_by_Two-Digit_Numbers\">Lesson 4.4 Multiply by Two-Digit Numbers<\/a><\/li>\n<li><a href=\"#Multiply_by_Two-Digit_Numbers_Homework_&amp;_Practice_4.4\">Multiply_by_Two-Digit_Numbers_Homework_&amp;_Practice_4.4<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 5 Multiply by Multi-Digit Whole Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_4.5_Multiply_by_Multi-Digit_Whole_Numbers\">Lesson 4.5 Multiply by Multi-Digit Whole Numbers<\/a><\/li>\n<li><a href=\"#Multiply_by_Multi-Digit_Whole_Numbers_Homework_&amp;_Practice_4.5\">Multiply by Multi-Digit Whole Numbers Homework &amp; Practice 4.5<\/a><\/li>\n<\/ul>\n<p><strong>Performance Task<\/strong><\/p>\n<ul>\n<li><a href=\"#Multiply_Whole_Numbers_Performance_Task\">Multiply Whole Numbers Performance Task<\/a><\/li>\n<li><a href=\"#Multiply_Whole_Numbers_Activity\">Multiply Whole Numbers Activity<\/a><\/li>\n<li><a href=\"#Multiply_Whole_Numbers_Chapter_Practice\">Multiply Whole Numbers Chapter Practice<\/a><\/li>\n<\/ul>\n<h3><a id=\"Lesson_4.1_Multiplication_Patterns\"><\/a>Lesson 4.1 Multiplication Patterns<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Complete the table. Find the value of each expression.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15055\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.1-1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.1 1\" width=\"267\" height=\"157\" \/><br \/>\nWhat patterns do you notice?<br \/>\nAnswer:<\/p>\n<table style=\"height: 286px;\" width=\"482\">\n<tbody>\n<tr>\n<td width=\"55\">Power<\/td>\n<td width=\"84\">Expression<\/td>\n<td width=\"60\">Value<\/td>\n<\/tr>\n<tr>\n<td width=\"55\">8 x 10<sup>1<\/sup><\/td>\n<td width=\"84\">8 x 10<\/td>\n<td width=\"60\">80<\/td>\n<\/tr>\n<tr>\n<td width=\"55\">8 x 10<sup>2<\/sup><\/td>\n<td width=\"84\">8 x 100<\/td>\n<td width=\"60\">800<\/td>\n<\/tr>\n<tr>\n<td width=\"55\">8 x 10<sup>3<\/sup><\/td>\n<td width=\"84\">8 x 1,000<\/td>\n<td width=\"60\">8,000<\/td>\n<\/tr>\n<tr>\n<td width=\"55\">8 x 10<sup>4<\/sup><\/td>\n<td width=\"84\">8 x 10,000<\/td>\n<td width=\"60\">80,000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Explanation:<\/p>\n<p>In each product, the number of zeros after 8 is the same as the exponent.<\/p>\n<p><strong>Patterns<\/strong><br \/>\nExplain how to multiply any number by a power of 10.<br \/>\nAnswer:<br \/>\nBy multiplying the given number with the 10 as many times as to its the given power value.<br \/>\nExplanation :<br \/>\nExample\u00a0 4 x 10<sup>2<\/sup>\u00a0 we\u00a0take as\u00a0 4 x 10 x 10 means 10 is multiplied twice<br \/>\n<span style=\"font-size: 16px;\">means as the power of 10 is 2 so we\u00a0 multiply the number 4 with 10 twice,<br \/>\nif it 4 x 10<sup>3<\/sup>\u00a0we take it as 4 x 10 x 10 x 10 means we take 10 by 3 times as power is 3<sup><br \/>\n<\/sup><\/span><\/p>\n<p><strong>Think and Grow: Use Patterns to Find Products<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 46 \u00d7 10<sup>3<\/sup>.<br \/>\nOne Way:<br \/>\nUse powers and look for a pattern<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15056\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.1-2.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.1 2\" width=\"259\" height=\"104\" \/><\/p>\n<p>46,000<\/p>\n<p>Another Way:<br \/>\nUse place value.<br \/>\n46 \u00d7 10<sup>3<\/sup> = 46 \u00d7 1,000<br \/>\n= 46 thousands<br \/>\n= ___46,000___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15057\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.1-3.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.1 3\" width=\"206\" height=\"245\" \/><br \/>\nSo, 46 \u00d7 10<sup>3<\/sup>.<br \/>\nNotice the pattern: In each product, the number of zeros after 46 is the same as the exponent.<\/p>\n<p><strong>Example<\/strong><br \/>\nFind 40 \u00d7 600.<br \/>\nUse a multiplication fact and look for a pattern.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15058\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.1-4.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.1 4\" width=\"601\" height=\"147\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.1-4.png 601w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.1-4-300x73.png 300w\" sizes=\"(max-width: 601px) 100vw, 601px\" \/><br \/>\nSo, 40 \u00d7 600 = __24,000____.<br \/>\nNotice the pattern: In each product, the number of zeros after 24 is equal to the number of zeros in the factors.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 1.<br \/>\n78 \u00d7 10<sup>4<\/sup><br \/>\nAnswer:<br \/>\nThe product of 78 \u00d7 10<sup>4\u00a0<\/sup>= 78 x 10,000 = 780,000<br \/>\nExplanation: As 78 is multiplied by 10<sup>4\u00a0\u00a0<\/sup>we get the result as 780,000<\/p>\n<p>Question 2.<br \/>\n20 \u00d7 400 = ______<br \/>\nAnswer:<br \/>\nThe product of 20 x 400 = 2x 10 x 4 x 100 = 2 x 4 x 10 x 100 = 8,000<br \/>\nExplanation:<br \/>\nAs 20 X 400 has 3 zeros we have 20 x 400 as 8,000<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Find the product<\/strong><br \/>\nQuestion 3.<br \/>\n11 \u00d7 10<sup>3<\/sup> = _______<br \/>\nAnswer:<br \/>\nThe product of 11 \u00d7 10<sup>3<\/sup> = 11 x 1,000=11,000<br \/>\nExplanation :<br \/>\nThe result of\u00a0 11 \u00d7 10<sup>3<\/sup>\u00a0 is 11,000<\/p>\n<p>Question 4.<br \/>\n40 \u00d7 70 = _______<br \/>\nAnswer:<br \/>\nThe product of 40 x 70 = 4 x 10 x 7 x 10 =4 x 7 x 10 x 10 = 2,800<br \/>\nExplanation :<br \/>\nWhen 40 is multiplied by\u00a0 70 the result is 2,800<\/p>\n<p>Question 5.<br \/>\n300 \u00d7 90 = ________<br \/>\nAnswer:<br \/>\nThe product of 300 x 90 = 3 x 100 x 9 x 10 = 3 x 9 x 100 x 10 = 27,000<br \/>\nExplanation :<br \/>\nWhen 300 is multiplied by\u00a0 90 the result is 27,000<\/p>\n<p>Question 6.<br \/>\n10<sup>4<\/sup> \u00d7 60 = _______<br \/>\nAnswer:<br \/>\nThe product of 10<sup>4<\/sup> \u00d7 60 = 10 x 10 x 10 x 10 x 60 = 6,00,000<br \/>\nExplanation :<br \/>\nWhen 10<sup>4<\/sup>\u00a0 is multiplied by 60 the result is 6,00,000<\/p>\n<p>Question 7.<br \/>\n206 \u00d7 10<sup>2<\/sup> = _______<br \/>\nAnswer:<br \/>\nThe product of 206 \u00d7 10<sup>2<\/sup> = 206 x 10 x 10 = 20,600<br \/>\nExplanation :<br \/>\nWhen 206 is multiplied by 10<sup>2<\/sup> the result is 20,600<\/p>\n<p>Question 8.<br \/>\n15 \u00d7 200 = _________<br \/>\nAnswer:<br \/>\nThe product of 15 x 200 = 15 x 2 x 10 x 10 = 3,000<br \/>\nExplanation :<br \/>\nWhen 15 is multiplied by 200 the result is 3,000<\/p>\n<p><strong>Find the missing factor.<\/strong><br \/>\nQuestion 9.<br \/>\n30 \u00d7 ______ = 15,000<br \/>\nAnswer:<br \/>\n30 x ____= 15,000,15,000\/30 = 500<br \/>\nExplanation:<br \/>\nSo when 15,000 is divided by 30 we get 500 the missing factor is 500<\/p>\n<p>Question 10.<br \/>\n_____ \u00d7 10<sup>3<\/sup> = 54,000<br \/>\nAnswer:<br \/>\n_____ \u00d7 10<sup>3<\/sup> = 54,000<br \/>\nthe missing factor is 54<br \/>\nExplanation :<br \/>\nWhen 54,000 is divided by 10<sup>3\u00a0<\/sup>or 1000<br \/>\nwe get 54,000 x 1\/ 1000= 54<\/p>\n<p>Question 11.<br \/>\n500 \u00d7 ______ =40,000<br \/>\nAnswer:<br \/>\n500 \u00d7 ______ =40,000<br \/>\nthe missing factor is 8,000<br \/>\nExplanation:<br \/>\nso when 40,000 is dived by 500 its is equal to<br \/>\n40,000 x 1\/500=8,000<\/p>\n<p>Question 12.<br \/>\nA heart pumps about 2,000 gallons of blood each day. How many gallons of blood does the heart pump in 7 days?<br \/>\nAnswer:<br \/>\nGiven that heart pumps about 2,000 gallons of blood each day and for 7 days it is<br \/>\n2,000 x 7 = 14,000 gallons<br \/>\nExplanation :<br \/>\nSo we multiply 2000 by 7 for 7 days and the result is 14,000 gallons<\/p>\n<p>Question 13.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWhich expressions are equal to 24,000?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15059\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.1-5.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.1 5\" width=\"222\" height=\"82\" \/><br \/>\nAnswer:<br \/>\n240 x 100= 24 x 10 x 10 x 10\u00a0 = 24,000 so it is equal<br \/>\n30 x 800 = 3 x 10 x 8 x 10 x 10 = 24,000 so this is also equal<br \/>\n400 x 600= 4 x 10 x 10 x 6 x 10 x 10 =24,000 so this also equal<br \/>\nand 24 x 1,000 = 24 x 10 x 10 x 10 = 24,000 which is also equal<br \/>\nso all the given expressions are equal to 24,000<br \/>\nExplanation :<br \/>\nWhen <img src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.1-5.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.1 5\" \/><\/p>\n<p>these numbers are multiplied all results are equal to 24,000<\/p>\n<p>Question 14.<br \/>\n<strong>Logic<\/strong><br \/>\nWhen you multiply any whole number by 100, what do you know about the digits in the product?<br \/>\nAnswer:<br \/>\nWhen we multiply any whole number by 100, it becomes the digit with two zeros in the right , number x 100= number x 10<sup>2<\/sup> =number,00<br \/>\nor we get the whole number with additional 2 zeros in the right<br \/>\nExplanation:<br \/>\nFor example if the number is 5 it becomes as 5 x 100 = 5 x 10<sup>2<\/sup>= 500, 2 zeros after 5<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nShow how to find 20 \u00d7 10<sup>3<\/sup> using the Associative Property of Multiplication.<br \/>\nAnswer:<br \/>\nThe Associative Property of Multiplication of 20 \u00d7 10<sup>3\u00a0\u00a0<\/sup>is<br \/>\n(20 x 10) x 10 x 10 = 20 x ( 10 x 10 ) x 10<br \/>\n(200) x 10 x 10 = 20 x (100) x 10<br \/>\n20,000 = 20,000<br \/>\nExplanation:<br \/>\nBoth sides are equal by using the Associative Property of Multiplication Law.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA black bear consumes 12,000 calories each day for 30 days. A grizzly bear consumes 400,000 calories in 30 days. Which bear consumes more calories in 30 days?<br \/>\nMultiply 12,000 and 30 to find the number of calories the black bear consumes in 30 days. Use a multiplication fact and a pattern.<br \/>\n12 \u00d7 3 = ____36____ Multiplication fact<br \/>\nThe multiplication fact is 12 \u00d7 3 = 36. The factors 12,000 and 30 have a total of _____4_ zeros. So, the product has __4___ zeros after 36.<br \/>\n12,000 \u00d7 30 = ___3,60,000______ calories<br \/>\nThe black bear consumes 3,60,000 calories in 30 days. Compare the numbers of calories the bears consume in 30 days.<br \/>\nA grizzly bear consumes 4,00,000 x 30 = 120,00,000<br \/>\nSo\u00a0 grizzly bear consumes more calories than black bear<br \/>\nThe ___grizzly ___ bear consumes more calories in 30 days.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 16.<br \/>\nThe attendance at a theme park is about 300,000 guests each month. The attendance at a water park is 2,280,000 guests in 1 year. Which park has a greater attendance in 1 year?<br \/>\nAnswer:<br \/>\nThe theme park has a greater attendance in 1 year.<br \/>\nExplanation:<br \/>\nThe attendance at theme park is about 3,00,000 guests in one month so in a year it is 3,00,000 x 12 = 36,00,000 guests.<br \/>\nand given water park has 22,80,000 guests= 228 x 10<sup>4<\/sup> \u00a0in 1 year<br \/>\nso as compared between the two parks 36,00,000 guests = 360 x10<sup>4<\/sup> \u00a0is greater than 22,80,000 guests= 228 x 10<sup>4\u00a0<\/sup> means the theme park has a greater attendance in 1 year.<\/p>\n<p>Question 17.<br \/>\nYour heart beats 120,000 times each day. In 1 week, a professional athlete\u2019s heart beats 607,000 times. How many more times does your heart beat in 1 week compared to the athlete?<br \/>\nAnswer:<br \/>\nOur heart beats 233,000 times more compared to the athlete in 1 week<br \/>\nExplanation :<br \/>\nEach day our heart beats 120,000 times each day<br \/>\nso in 1 week it is 120,000 x 7 = 840,000 times our heart beats \u00a0in 1 week given\u00a0 athlete&#8217;s heart beats in 1 week is 607,000 times so compared to both it is<br \/>\n840,000 &#8211; 607,000 = 233,000 times<br \/>\nSo our heart beats 233,000 times more compared to the athlete in 1 week<\/p>\n<p>Question 18.<br \/>\nA whale\u2019s brain weighs 10<sup>3<\/sup> times as much as a platypus\u2019s brain. The whale\u2019s brain weighs 9,000 grams. How many grams does the platypus\u2019s brain weigh?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15060\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.1-6.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.1 6\" width=\"179\" height=\"117\" \/><br \/>\nAnswer:<br \/>\nplatypus\u2019s brain weighs 9 grams<br \/>\nExplanation:<br \/>\nGiven whale&#8217; brain weighs 10<sup>3<\/sup> times\u00a0 as much as a platypus\u2019s brain and also given that whale\u2019s brain weighs 9,000 grams<br \/>\nso platypus\u2019s brain weighs 9,000 x 1\/ 10<sup>3<\/sup> times = 9,000x 1\/1000 = 9 grams.<\/p>\n<h3><a id=\"Multiplication_Patterns_Homework_&amp;_Practice_4.1\"><\/a>Multiplication Patterns Homework &amp; Practice 4.1<\/h3>\n<p><strong>Find the product<\/strong><br \/>\nQuestion 1.<br \/>\n37 \u00d7 10<sup>4<\/sup><br \/>\nAnswer:<br \/>\n37 \u00d7 10<sup>4\u00a0<\/sup>= 370,000<br \/>\nExplanation:<br \/>\nThe product of 37 \u00d7 10<sup>4\u00a0<\/sup>= 37 x 10 x 10 x 10 x 10= 370,000<\/p>\n<p>Question 2.<br \/>\n400 \u00d7 90 = ______<br \/>\nAnswer:<br \/>\n400 \u00d7 90 = 36,000<br \/>\nExplanation:<br \/>\nThe product of 400 \u00d7 90 = 4 x 10 x 10 x 9 x 10 = 4 x 9 x 10<sup>3<\/sup> = 36,000<\/p>\n<p>Question 3.<br \/>\n100 \u00d7 900 = _____<\/p>\n<p>Answer:<br \/>\n100 x 900 = 90,000<br \/>\nExplanation:<br \/>\nThe product of 100 x 900 = 10 x 10 x 9 x 10 x 10 = 9 x 10<sup>4\u00a0<\/sup>= 90,000<\/p>\n<p>Question 4.<br \/>\n800 \u00d7 700 = _____<br \/>\nAnswer:<br \/>\n800 x 700 = 560,000<br \/>\nExplanation:<br \/>\nThe product of 800 x 700 = 8 x 10 x 10 x 7 x 10 x 10 = 8 x 7 x 10<sup>4\u00a0<\/sup>=560,000<\/p>\n<p>Question 5.<br \/>\n867 \u00d7 10<sup>3<\/sup> = ______<br \/>\nAnswer:<br \/>\n867 \u00d7 10<sup>3<\/sup> =867,000<br \/>\nExplanation:<br \/>\nThe product of 867 \u00d7 10<sup>3<\/sup> = 867 x 10 x 10 x 10 = 867,000<\/p>\n<p>Question 6.<br \/>\n12 \u00d7 6,000 = _______<br \/>\nAnswer:<br \/>\n12 x 6,000 = 72,000<br \/>\nExplanation:<br \/>\nThe product of 12 x 6,000 = 12 x 6 x 10 x 10 x 10= 12 x 6 x 10<sup>3<\/sup> = 72,000<\/p>\n<p><strong>Find the missing factor.<\/strong><br \/>\nQuestion 7.<br \/>\n____ \u00d7 10<sup>2<\/sup> = 3,000<br \/>\nAnswer:<br \/>\n30 x 10<sup>2<\/sup> = 3,000<br \/>\nExplanation:<br \/>\nThe missing factor of\u00a0 ____ \u00d7 10<sup>2<\/sup> = 3,000 is 3,000 x 1\/100= 3 x 10<sup>3<\/sup> \/ 10<sup>2\u00a0<\/sup>=30<\/p>\n<p>Question 8.<br \/>\n______ \u00d7 500 = 450,000<br \/>\nAnswer:<br \/>\n900 x 500 = 450,000<br \/>\nExplanation:<br \/>\nThe missing factor of ______ \u00d7 500 = 450,000 is 450,000 x 1\/500= 450,000\/500=<br \/>\n45 x 10<sup>4\u00a0\u00a0<\/sup>\/ 5 x 10<sup>2\u00a0<\/sup>= 9 x 10<sup>2\u00a0<\/sup>= 900<\/p>\n<p>Question 9.<br \/>\n80 \u00d7 _____ = 640,000<br \/>\nAnswer:<br \/>\n80 x 8000 = 640,000<br \/>\nExplanation:<br \/>\nThe missing factor of 80 \u00d7 _____ = 640,000 is 640,000 x 1\/80 = 64 x 10<sup>4\u00a0\u00a0<\/sup>\/ 8 x 10=<br \/>\n8 x 10<sup>3\u00a0<\/sup>=8,000<\/p>\n<p>Question 10.<br \/>\n<strong>Reasoning<\/strong><br \/>\nDo 50 \u00d7 8,000 and 50 \u00d7 9,000 have the same number of zeros in their products? Explain.<br \/>\nAnswer:<br \/>\nYes, 50 \u00d7 8,000 and 50 \u00d7 9,000 have the same number of zeros in their products<br \/>\nExplanation:<br \/>\nWhy because 50 x 8,000 = 5 x 10 x 8 x 10 x 10 x 10 = 5 x 8 x 10<sup>4<br \/>\n<\/sup>and 50 x 9,000 = 5 x 10 x 9 x 10 x 10 x 10 = 5 x 9 x 10<sup>4<br \/>\n<\/sup>so when compared between 5 x 8 x 10<sup>4\u00a0\u00a0<\/sup>and 5 x 9 x 10<sup>4\u00a0 <\/sup>we have 4 zeros in both the products.<\/p>\n<p>Question 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe product of a number and twice that number is 180,000. Write the multiplication equation.<br \/>\nAnswer:<br \/>\n2 n<sup>2 <\/sup>= 18 x 10<sup>4<br \/>\n<\/sup>Explanation:<br \/>\nlet the number be n and its twice is 2 n is 180,000<br \/>\nn x 2n = 18 x 10 x 10 x 10 x 10<br \/>\n2 n<sup>2 <\/sup>= 18 x (10 x 10) x (10 x 10)<br \/>\nso the multiplication equation is 2 n<sup>2 <\/sup>= 18 x 10<sup>4\u00a0<\/sup><\/p>\n<p>Question 12.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA hummingbird flutters its wings 80 times in 1 second. A bumblebee flutters its wings 7,800 times in 1 minute. Which animal flutters its wings more times in 1 minute?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15061\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.1-7.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.1 7\" width=\"166\" height=\"147\" \/><br \/>\nAnswer:<br \/>\nbumblebee flutters more<\/p>\n<p>Explanation:<br \/>\nGiven humming bird flutters its wings 80 times in 1 second equals to 8 x 10,<br \/>\nbumblebee flutters its wings 7,800 times in 1 second equals to 78 x 10<sup>2<br \/>\n<\/sup>as 78 x 10<sup>2\u00a0<\/sup>&gt; 8 x 10 means bumblebee flutters its wings more than humming bird in 1 minute.<\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nIn 1 day, the blood in your body travels a total of 12,000 miles. This is about 4 times the distance across the United States from coast to coast. About how many miles is the distance across the United States?<br \/>\nAnswer:<br \/>\nThe distance across the United States is 3,000 miles.<br \/>\nExplanation:<br \/>\nGiven in 1 day the blood in our body travels a total of 12,000 miles which is equal to 4 times the distance across the United States from coast to coast.<br \/>\nso the number of miles in the distance across the United States is<br \/>\n12,000 miles \/ 4=3,000 miles.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Classify the triangle by its sides.<\/strong><br \/>\nQuestion 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15062\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.1-8.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.1 8\" width=\"106\" height=\"105\" \/><br \/>\nAnswer:<br \/>\nEquilateral Triangle<br \/>\nExplanation:<br \/>\nIn the\u00a0 given figure it is showing all the 3 sides are equal so we call\u00a0 the triangle as Equilateral Triangle.<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15063\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.1-9.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.1 9\" width=\"80\" height=\"99\" \/><br \/>\nAnswer:<br \/>\nIsosceles Triangle<br \/>\nExplanation:<br \/>\nIn the above figure it is showing only 2 sides are equal so we call the given triangle as Isosceles Triangle.<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15064\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.1-10.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.1 10\" width=\"133\" height=\"117\" \/><br \/>\nAnswer:<br \/>\nScalene Triangle<br \/>\nExplanation:<br \/>\nIn the above figure it is showing no side is equal so we call the given triangle as<br \/>\nScalene Triangle.<\/p>\n<h3><a id=\"Lesson_4.2_Estimate_Products\"><\/a>Lesson 4.2 Estimate Products<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Choose an expression to estimate each product. Write the expression. You may use an expression more than once.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15065\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers 4.2 1\" width=\"244\" height=\"133\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15066\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-2.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers 4.2 2\" width=\"571\" height=\"73\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-2.png 571w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-2-300x38.png 300w\" sizes=\"(max-width: 571px) 100vw, 571px\" \/><br \/>\nCompare your answers with a partner\u2019s. Did you choose the same expressions?<br \/>\nAnswer:<br \/>\n29 x 26<br \/>\n30 x 25<br \/>\nExplanation:<br \/>\nso for 29 x 26 i am choosing the expression 30 x 25 as 29 is near to 30 and 26 is near to 26 i have selected the expression 30 x 25<br \/>\n21 x 24<br \/>\n20 x 25<br \/>\nExplanation :<br \/>\nfor 21 x 24 i am choosing the expression 20 x 25 as 21 is near to 20 and 24 is near to 25 i have selected the expression 20 x 25<br \/>\n32 x 26<br \/>\n30 x 25<br \/>\nExplanation :<br \/>\nfor 32 x 26 i am choosing the expression 30 x 25 as in the given expressions only 32 is near to 30 and 26 is near to 25 i have selected the expression 30 x 25<br \/>\n28 x 24<br \/>\n30 x 25<br \/>\nExplanation :<br \/>\nfor 28 x 24 also i am choosing the expression 30 x 25 why because 28 is near to 30 and 24 is near to 25 so i am selecting the expression\u00a0 30 x 25<br \/>\nYes i have selected the same expression 30 x 25\u00a0 for all the three products 29 x 26, 32 x 26,28 x 24 because for all the given three products the nearest expression we are getting is 30 x 25<\/p>\n<p><strong>Construct Arguments<\/strong><br \/>\nYou estimate the product of 23 and 26 using the expression 25 \u00d7 30. Without multiplying, determine whether the estimate is greater than or less than the actual product. Explain.<br \/>\nAnswer:<br \/>\nGiven the product 23 x 26 as 25 x 30<br \/>\nSo the result of given estimate is greater than the actual value<br \/>\nExplanation:<br \/>\nBecause as 25 is greater than 23 and 30 is greater than 26 so obviously the expression 25 x 30 has greater value than that of the product of 23 X 26<\/p>\n<p><strong>Think and Grow: Estimate Products<\/strong><\/p>\n<p>An overestimate is greater than the actual value, and an underestimate is less than the actual value. When you estimate a product, your answer will be an overestimate when both numbers are greater than the original factors. Your answer will be an underestimate when both numbers are less than the original factors.<\/p>\n<p><strong>Example<\/strong><br \/>\nUse rounding to estimate 204 \u00d7 61. Explain whether your estimate is an overestimate or an underestimate.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15067\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-3.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers 4.2 3\" width=\"577\" height=\"135\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-3.png 577w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-3-300x70.png 300w\" sizes=\"(max-width: 577px) 100vw, 577px\" \/><\/p>\n<p>12 x 1,000 = 12,000<br \/>\nSo, 204 \u00d7 61 is about __12,444___. This is an __underestimate______ because about both rounded numbers are ___200___, __60____ the original factors.<\/p>\n<p><strong>Example<\/strong><br \/>\nUse compatible numbers to estimate 23 \u00d7 194. Explain whether your estimate is an overestimate or an underestimate.<br \/>\nChoose compatible numbers. Then multiply.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15068\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-4.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers 4.2 4\" width=\"357\" height=\"101\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-4.png 357w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-4-300x85.png 300w\" sizes=\"(max-width: 357px) 100vw, 357px\" \/><\/p>\n<p>50 x100 = 5,000<br \/>\nSo, 23 \u00d7 194 is about __4,462____. This is an __overestimate_____ because both compatible numbers are __25____ __200____ the original factors.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Estimate the product. Explain whether your estimate is an overestimate or an underestimate.<\/strong><br \/>\nQuestion 1.<br \/>\n387 \u00d7 29<br \/>\nAnswer:<br \/>\n387 x 29 =11,223<br \/>\n400\u00a0 X 30 = 12,000 is overestimate<br \/>\nExplanation :<br \/>\nAs our estimate after\u00a0 rounding each factor becomes 387 as 400 nearest hundred\u00a0 and 29 as 30 to nearest ten so it is <span style=\"font-size: 16px;\">400 x 30 = 12 x 1,000=12,000 <\/span>as 387 x 29 &lt; 400 x 30 as the estimate result is greater than the given product results our estimate is an overestimate<\/p>\n<p>Question 2.<br \/>\n52 \u00d7 913<br \/>\nAnswer:<br \/>\n52 x 913 = 47,476<br \/>\n50 x 900 = 45,000 is underestimate<\/p>\n<p>Explanation:<br \/>\nAs our estimate after rounding each factor becomes 52 as 50 to nearest ten and 913 as 900 nearest hundred so it is 50 X 900 = 45,000<br \/>\nas 52 x 913 &gt; 50 x 900 as the estimate result is less than the given product results<br \/>\nour estimate is an underestimate.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Estimate the product. Explain whether your estimate is an overestimate or an underestimate.<\/strong><br \/>\nQuestion 3.<br \/>\n45 \u00d7 98<br \/>\nAnswer:<\/p>\n<p>45 x 98 = 4,410<br \/>\n50 x 100 = 5,000 is overestimate<br \/>\nExplanation:<br \/>\nAs our estimate after rounding each factor becomes 45 as 50 to nearest ten and 98 as 100 to nearest hundred so it is 50 X 100 = 5,000<br \/>\nas 45 x 98 &lt; 50 x 100 as the estimate result is greater than the given product results our estimate is an overestimate<\/p>\n<p>Question 4.<br \/>\n21 \u00d7 404<br \/>\nAnswer:<br \/>\n21 x 404 = 8,484<br \/>\n20 x 400 = 8,000 is underestimate<\/p>\n<p>Explanation:<br \/>\nAs our estimate after rounding each factor becomes 21 as 20 nearest ten and 404 as 400 to nearest hundred so it is 20 X 400 = 8,000<br \/>\nas 21 x 404 &gt; 20 x 400 as the estimate result is less than the given product results our estimate is an underestimate.<\/p>\n<p>Question 5.<br \/>\n394 \u00d7 285<br \/>\nAnswer:<br \/>\n394 x 285 = 112,290<br \/>\n400 x 300 = 120,000 is overestimate<br \/>\nExplanation:<br \/>\nour estimate after rounding each factor becomes 394\u00a0 as 400 to nearest hundred and 285 as 300 to nearest hundred so it is 400 X 300 = 120,000<br \/>\nas 394 x 285 &lt; 400 x 300 as the estimate result is greater than the given product results our estimate is an overestimate<\/p>\n<p>Question 6.<br \/>\n596 \u00d7 488<br \/>\nAnswer:<br \/>\n596 x 488 = 290,848<br \/>\n600 x 500 = 300,000 is overestimate<\/p>\n<p>Explanation:<br \/>\nAs our estimate after rounding each factor becomes 596\u00a0 as 600 to nearest hundred and 488 as 500 to nearest hundred so it is 600 X 500 = 300,000<br \/>\nas 596 x 488 &lt; 600 x 500 as the estimate result is greater than the given product results our estimate is an overestimate<\/p>\n<p>Question 7.<br \/>\n194 \u00d7 46<br \/>\nAnswer:<br \/>\n194 x 46=8,924<br \/>\n200 x 50 = 10,000 overestimate<\/p>\n<p>Explanation:<br \/>\nAs our estimate after rounding each factor becomes 194\u00a0 as 200 to nearest hundred and 46 as 50 to nearest ten so it is 200 X 50 = 10,000<br \/>\nas 194 x 46 &lt; 600 x 500 as the estimate result is greater than the given product results our estimate is an overestimate<\/p>\n<p>Question 8.<br \/>\n22 \u00d7 221<br \/>\nAnswer:<br \/>\n22 x 221 =4,862<br \/>\n20 x 200 = 4,000 underestimate<\/p>\n<p>Explanation :<br \/>\nAs our estimate after rounding each factor becomes 22\u00a0 as 20 to nearest ten and 221 as 200 to nearest hundred so it is 20 X 200 = 4,000<br \/>\nas 22 x 221 &gt; 20 x 200 as the estimate result is less than the given product results our estimate is an underestimate.<\/p>\n<p>Question 9.<br \/>\n<strong>Number Sense<\/strong><br \/>\nYou estimate 27 \u00d7 408 by rounding each number to the nearest ten. Your friend estimates the product using the compatible numbers 25 and 400. Without multiplying, determine which answer is an overestimate and which answer is an underestimate. Explain.<br \/>\nAnswer:<br \/>\n27 x 408<br \/>\n30 x 410 Mine is overestimate and<br \/>\n27 x 408<br \/>\n25 x 400 Friend is underestimate<br \/>\nExplanation:<br \/>\nGiven my estimate as 27 x 408 by rounding the number to the nearest ten it becomes 27 as 30 and 408 as 410 as 27 is less than 30 and 408 is also less than 410 so the product 27 x 408 is less than 30 x 410<br \/>\n27 x 408<br \/>\n30 x 410<br \/>\nas 27 x 408 &lt; 30 x 410 mine is overestimate.<br \/>\nNow 27 x 408<br \/>\nas\u00a0 \u00a0 \u00a025 x 400<br \/>\nmy friend estimates the product using the compatible numbers 25 and 400 as 25 is less than 27 and 400 is less than 408 obviously the product results 25 X 400 &lt;27 x 408 so my friend results are underestimate.<br \/>\ntherefore mine is overestimate and friends is underestimate<\/p>\n<p>Question 10.<br \/>\n<strong>Writing<\/strong><\/p>\n<p>Explain two different methods to estimate 49 \u00d7 305. Which do you prefer?<br \/>\nAnswer:<br \/>\nI prefer 50 x 300<br \/>\nExplanation:<br \/>\n49 x 305 by rounding each number to the nearest ten it is 50 x 310 ,<br \/>\n49 x 305<br \/>\n50 x 310<br \/>\n49 x 305=14,945 and 50 x 310 = 15,500<br \/>\n49 as 50 and 305 as 310 product so 49 is less than 50 and 305 is also less than 310 so the product 49 x 305 is less than 50 x 310<br \/>\n49 x 305 &lt;\u00a0 50 x 310 which is overestimate<br \/>\nnow 49 x 305<br \/>\n50 x 300<br \/>\n49 x 305 compatible numbers are 50 and 300 the results 49 x 305 = 14,945 and 50 x 300 = 15,000 means 49 x 305 &lt; 50 x 300 which is also overestimate,<br \/>\nas both the results are overestimate but i prefer 50,300\u00a0 compatible numbers only as these number results are very near to the given product 49 x 305 as compared to the rounding the numbers to nearest ten.<br \/>\nso i prefer 50 x 300<br \/>\nQuestion 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou estimate 9 \u00d7 26 using the compatible numbers 10 and 25. Is your estimate an overestimate or an underestimate? Explain.<br \/>\nAnswer:<br \/>\nMy estimate is underestimate.<br \/>\nExplanation:<br \/>\nMy estimate is given as 9 x 26 = 234<br \/>\nand compatible numbers result is\u00a0 10 x 25 = 250,<br \/>\nas 9 x26 &lt; 10 x 25 as my estimate results is less than the compatible numbers result so my estimate is underestimate<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nEarth travels about 1,118 miles in 1 minute. About how far does Earth travel in 1 hour?<br \/>\nThink: What do you know? What do you need to find? How will you solve?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15069\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-5.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers 4.2 5\" width=\"199\" height=\"144\" \/><br \/>\nThere are 60 minutes in 1 hour, so multiply the distance by 60.<br \/>\n60 \u00d7 1,118 = ?<br \/>\nUse rounding to estimate the product.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15070\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-6.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers 4.2 6\" width=\"343\" height=\"161\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-6.png 343w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-6-300x141.png 300w\" sizes=\"(max-width: 343px) 100vw, 343px\" \/><br \/>\nSo, Earth travels about _60,000_____ miles in 1 hour.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 12.<br \/>\nOld Faithful erupts about 19 times in 1 day. Each eruption sprays about 6,050 gallons of water. About how many gallons of water does Old Faithful spray in 1 day?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15071\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-7.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers 4.2 7\" width=\"189\" height=\"228\" \/><br \/>\nAnswer:<br \/>\nOld faithful spray in 1 day19 x 6,000= 114,000 gallons of water<br \/>\nExplanation :<br \/>\nGiven Old Faithful erupts about 19 times in 1 day and each eruption sprays about 6,050 gallons of water, so Old faithful sprays about 19 x 6,050=114,950 gallons of water in 1 day.<br \/>\nNow using rounding to estimate the product it becomes 19 as 20 and 6,050 as 6,000<br \/>\nso Old faithful sprays about 19 x 6,000=114,000 gallons of water in 1 day.<\/p>\n<p>Question 13.<br \/>\nWorkers place a foam finger on every seat in a stadium for an upcoming football game. There are 29 sections in the stadium and about 245 seats in each section. About how many foam fingers are needed? Is it better to have an overestimate or an underestimate? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15072\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-8.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers 4.2 8\" width=\"74\" height=\"145\" \/><br \/>\nAnswer:<br \/>\nNeeded are 7,105 number of foam fingers and It is better to have overestimate<br \/>\nExplanation:<br \/>\nGiven there are total 29 sections in the stadium<br \/>\nand 245 seats in each section.<br \/>\nThe number of foam fingers needed would be 29 x 245 = 7,105 foam fingers<br \/>\nSo we need 7,105 number of foam fingers<br \/>\nSo now by using rounding 29 becomes 30 and 245 as 250 so it becomes<br \/>\n30 x 250=7,500 foam fingers.<br \/>\nNow on comparing 29 x 245 &lt; 30 x 350 so the results is overestimate.<br \/>\nSo it is better to have overestimate only<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nOne acre of land is equal to the area of a rectangular piece of land that is 22 yards wide and 220 yards long. Central Park in New York City is 843 acres. What is the approximate area of Central Park in square yards?<br \/>\nAnswer:<br \/>\nCentral Park in New York City has 22 x 220 x 843 square yards<br \/>\nExplanation:<br \/>\nGiven one acre of land is equal to 22 yards wide and 220 yards long<br \/>\nmeans one acre is 22 x 220 square yards<br \/>\nSo Central Park in New York City has 22 x 220 x 843 square yards.<\/p>\n<h3><a id=\"Estimate_Products_Homework_&amp;_Practice_4.2\"><\/a>Estimate Products Homework &amp; Practice 4.2<\/h3>\n<p><strong>Use rounding to estimate the product. Explain whether your estimate is an overestimate or an underestimate.<\/strong><br \/>\nQuestion 1.<br \/>\n85 \u00d7 96<br \/>\nAnswer:<br \/>\nAfter rounding 90x 100= 9,000, overestimate<br \/>\nExplanation:<br \/>\n85 x 96=8,160\u00a0 after rounding it becomes 90 x 100 =9,000<br \/>\nas 85 is less than 90 and 96 is less than 100 so it is overestimate<\/p>\n<p>Question 2.<br \/>\n41 \u00d7 21<br \/>\nAnswer:<br \/>\nAfter rounding 40 x 20=800, underestimate<br \/>\nExplanation:<br \/>\n41 x 21 = 861 after rounding it becomes 40 x 20 = 800<br \/>\nas 41 is greater than 40 and 21 is also greater than 20 so it becomes underestimate<\/p>\n<p><strong>Use compatible numbers to estimate the product. Explain whether your estimate is an overestimate or an underestimate.<\/strong><br \/>\nQuestion 3.<br \/>\n56 \u00d7 106<br \/>\nAnswer:<br \/>\n56 x 106 = 5,936 and 55 x 100 = 5,500<br \/>\nas 5,936 &gt; 5,500 ,So my estimate is overestimate<br \/>\nExplanation:<br \/>\nFor 56 x 106 compatible numbers are 55 and 100 and its product is 5,500,<br \/>\n56 is greater than 55 and 106 is greater than 100,so the product of given numbers is greater than the product of compatible numbers, so my estimate is overestimate<\/p>\n<p>Question 4.<br \/>\n23 \u00d7 597<br \/>\nAnswer:<br \/>\n23 x 597 = 13,731 and 25 x 600 = 15,000<br \/>\nas 13,731 &lt; 15,000, So my estimate is underestimate<br \/>\nExplanation:<br \/>\nFor 23 x 597 compatible numbers are 25 and 600<br \/>\n56 is greater than 55 and 106 is greater than 100,so the product of given numbers is lesser than the products of compatible numbers, so my estimate is underestimate<\/p>\n<p><strong>Estimate the product<\/strong><br \/>\nQuestion 5.<br \/>\n203 \u00d7 85<br \/>\nAnswer:<br \/>\n203 x 85 = 17,255 and 200 x 90 = 18,000<br \/>\nas 17,255 &lt; 18,000 So my estimate is underestimate<br \/>\nExplanation:<br \/>\nFor 203 x 85 compatible numbers are 200 and 90<br \/>\n203 is greater than 200 and 85 is lesser than 90,But the product of given numbers is lesser than the product of compatible numbers so my estimate is underestimate<br \/>\nQuestion 6.<br \/>\n67 \u00d7 405<br \/>\nAnswer:<br \/>\n67 x 405 = 27,135 and 70 x 400 = 28,000<br \/>\nas 27,135 &lt; 28,000 So my estimate is underestimate<br \/>\nExplanation:<br \/>\nFor 67 x 405 compatible numbers are 70 and 400<br \/>\nAs 67 is less than 70 and 405 is greater than 400,but the product of given numbers is lesser than the product of compatible numbers, so my estimate is underestimate<\/p>\n<p>Question 7.<br \/>\n<strong>Number Sense<\/strong><br \/>\nEstimate 426 \u00d7 2,045. Is your answer an overestimate or an underestimate? Explain.<br \/>\nAnswer:<br \/>\n426 x 2,045=871,170 and 430 x 2,000= 860,000<br \/>\nas 871,170 &gt; 860,000 so mine is overestimate<br \/>\nExplanation:<br \/>\nFor 426 x 2,045 compatible numbers are 430 and 2000<br \/>\nAs 426 is less than\u00a0 and 430 and 2,045 is greater than 2,000 but the product of given numbers is greater than the product of compatible numbers, so my estimate is overestimate<br \/>\nQuestion 8.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nWrite 2 three-digit numbers. Then estimate their product by rounding so that the answer is an underestimate.<br \/>\nAnswer:<br \/>\n188 x 478 = 89,864<br \/>\n200 x 500 = 100,000<br \/>\nas 89,864 &lt; 100,000 , so 188 x 478 is underestimate<br \/>\nExplanation:<br \/>\nTo make the product as an underestimate let us take the 2 three-digit numbers as 188 and 478 and their compatible numbers 200 and 500,<br \/>\nAs 188 is lesser than 200 and 478 is also less than 500 obviously the product becomes lesser than the product of compatible numbers and their product becomes underestimate.<br \/>\nQuestion 9.<br \/>\n<strong>Reasoning<\/strong><br \/>\nWithout multiplying, determine which estimate is closer to the actual product. Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15073\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-9.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers 4.2 9\" width=\"649\" height=\"137\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-9.png 649w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-9-300x63.png 300w\" sizes=\"(max-width: 649px) 100vw, 649px\" \/><br \/>\nAnswer:<br \/>\nThe closer product to 21 x 372\u00a0 is 20 x 400<br \/>\nExplanation :<br \/>\nIf we compare 21 x 372 with 20 x 400 we see 20 is less than 21 which is very close and 372 is near to 400 and the result is much closer than when compared to the result of product of 25 x 400 as 25 is greater than to 21 and even 400 is greater than 372, so obviously the product is much far, So the closer product is 20 x 400<\/p>\n<p>Question 10.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYour cousin sells jars of jam at a farmers\u2019 market. He sells 48 jars in 1 day for $12 each. About how much money does he earn in sales in 1 day?<br \/>\nAnswer:<br \/>\n48 x $12 = $ 576 in 1 day<br \/>\nExplanation:<br \/>\nGiven that cousin sells 48 jars in 1 day, each jar cost $12 , so the total cost per 1 day is product of number of jars X cost of 1 jar =48 x $12 = $ 576 in 1 day<br \/>\nSo my cousin sells $ 576 in 1 day<br \/>\nQuestion 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nSupersaurusA weighed 45 tons. About how many more pounds did an Argentinosaurus weigh than a Supersaurus?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15074\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-10.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers 4.2 10\" width=\"126\" height=\"173\" \/><br \/>\nAnswer:<br \/>\nArgentinosaurus weighs 72,000 pounds more than a Supersaurus<br \/>\nExplanation:<br \/>\nAs we know 1 ton = 2000 pounds, given Supersaurus weighed 45 tons = 45 x 2000=90,000 pounds and Argentinosaurus weighs 81 tons = 81 x 2000= 162,000 pounds, So 162,000 &#8211; 90,000= 72,000 means Argentinosaurus weigh 72,000 more than a Supersaurus<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Use the figure.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15075\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-4.2-11.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers 4.2 11\" width=\"262\" height=\"209\" \/><br \/>\nQuestion 12.<br \/>\nName a pair of lines that appear to be parallel.<br \/>\nAnswer:<br \/>\n( A,G ) and ( C,J) appear as parallel<br \/>\nExplanation:<br \/>\nIn geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet so ( A,G ) and ( C,J) appear as parallel<br \/>\nQuestion 13.<br \/>\nName two lines that are perpendicular.<br \/>\nAnswer:<br \/>\n( D, F ) and ( B, H ) are perpendicular<br \/>\nExplanation:<br \/>\nIn geometry,<br \/>\nTwo distinct lines intersecting each other at 90\u00b0 or a right angle are called perpendicular lines<br \/>\nQuestion 14.<br \/>\nName two intersecting lines.<br \/>\nAnswer:<br \/>\n(D,F) and (C,J) are two intersecting lines<br \/>\nExplanation:<br \/>\nAs the line DF are CJ are intersecting at point F so DF,CJ are called as intersecting lines<\/p>\n<h3><a id=\"Lesson_4.3_Multiply_by_One-Digit_Numbers\"><\/a>Lesson 4.3 Multiply by One-Digit Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use the area model and partial products to find 1,985 \u00d7 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15076\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-1.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 1\" width=\"457\" height=\"298\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-1.png 457w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-1-300x196.png 300w\" sizes=\"(max-width: 457px) 100vw, 457px\" \/><br \/>\nAnswer:<br \/>\n1,985 x 4 = 7,940<br \/>\nReasonable 7,940\u00a0 is close to 8,000<br \/>\nExplanation :<br \/>\nStep 1: Multiply the ones. Regroup<br \/>\n4 x 5 ones = 20 ones, Regroup\u00a0 20 ones as 2 tens and 0\u00a0ones<br \/>\n2<br \/>\n1985<br \/>\n<u>x\u00a0 \u00a0 4<br \/>\n<\/u>\u00a0 \u00a0 \u00a0 0<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n4 x 8 tens\u00a0 = 32 tens,\u00a0 32 tens + 2 tens = 34 tens, Regroup 34 tens as<br \/>\n3 hundreds and 4 tens<br \/>\n3<br \/>\n1985<br \/>\n<u>x\u00a0 \u00a0 4\u00a0<\/u><br \/>\n40<br \/>\nStep 3 : Multiply the hundreds. Regroup hundreds<br \/>\n4 x 9 hundreds = 36 hundreds, 36 hundreds + 3 hundreds = 39 hundreds<br \/>\nRegroup 39 hundreds as 3 thousands and 9 hundred<br \/>\n3<br \/>\n1985<br \/>\n<u>x\u00a0 \u00a0 4\u00a0<\/u><br \/>\n940<br \/>\nStep 4 : Multiply the thousands. Add the regrouped thousands<br \/>\n4 x 1 thousands = 4 thousands,4 thousands +3 thousands=7\u00a0thousands<br \/>\n3<br \/>\n1985<br \/>\n<u>x\u00a0 \u00a0 4<br \/>\n<\/u><span style=\"text-decoration: underline;\">7,940<\/span><br \/>\n1,985 x 4 = 7,940\u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 7,940\u00a0 is close to 8,000<\/p>\n<p><strong>Structure<\/strong><br \/>\nExplain how you can use an area model and partial products to find 2,083 \u00d7 3.<br \/>\nAnswer:<br \/>\n2,083 x 3 = 6,249<br \/>\nReasonable 6,249\u00a0 is close to 6,000 or 6,300<br \/>\nExplanation:<\/p>\n<p><a href=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-1.bmp\"><img loading=\"lazy\" class=\"alignnone wp-image-19000\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-1-300x210.jpg\" alt=\"\" width=\"443\" height=\"310\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-1-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-1.bmp 494w\" sizes=\"(max-width: 443px) 100vw, 443px\" \/><\/a><\/p>\n<p>Step 1: Multiply the ones.<br \/>\n3 x 3 ones = 9 ones,<br \/>\n2083<br \/>\n<u>x\u00a0 \u00a0 3<br \/>\n<\/u>\u00a0 \u00a0 \u00a09<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n3 x 8 tens\u00a0 = 24 tens, Regroup 24 tens as 2\u00a0hundreds and 4 tens<br \/>\n2<br \/>\n2083<br \/>\n<u>x\u00a0 \u00a0 3<br \/>\n<\/u><span style=\"font-size: 16px;\">\u00a0 \u00a049<br \/>\n<\/span>Step 3 : Multiply the hundreds.<br \/>\n3 x 0 hundreds = 0 hundred, 0 hundred + 2 hundreds = 2 hundreds<br \/>\n2083<br \/>\n<u>x\u00a0 \u00a0 3<br \/>\n<\/u><span style=\"font-size: 16px;\">\u00a0 249<br \/>\n<\/span>Step 4 : Multiply the thousands.<br \/>\n3 x 2\u00a0 thousands = 6 thousands<br \/>\n2083<br \/>\n<u>x\u00a0 \u00a0 3<br \/>\n<\/u><span style=\"text-decoration: underline;\">6,249<\/span><br \/>\n2,083 x 3 = 6,249\u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 6,249\u00a0 is close to 6,000 or 6,300<\/p>\n<p><strong>Think and Grow: Multiply by One-Digit a Number<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 8,902 \u00d7 4. Estimate ___35,608___<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15077\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-2.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 2\" width=\"619\" height=\"526\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-2.png 619w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-2-300x255.png 300w\" sizes=\"(max-width: 619px) 100vw, 619px\" \/><\/p>\n<p>So 8,902 x 4 = 35,608.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 35,608 is close to 35,600<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15078\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-3.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 3\" width=\"76\" height=\"76\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15079\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-4.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 4\" width=\"91\" height=\"77\" \/><br \/>\nAnswer:<br \/>\n1. 7,346 x 2= 14,692\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 14,692 and\u00a0 is close to 15,000<br \/>\n2. 12,053 x 3 = 36,159\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 36,159 and\u00a0 is close to 36,000<br \/>\nExplanation:<br \/>\n1.7,346 x 2=14,692<br \/>\nStep 1: Multiply the ones. Regroup<br \/>\n2 x 6 ones = 12 ones, Regroup 12 ones as 1 tens and 2 ones<br \/>\n1<br \/>\n7,346<br \/>\n<u>x\u00a0 \u00a0 2<br \/>\n<\/u>\u00a0 \u00a0 \u00a02<br \/>\nStep 2 : Multiply the tens.<br \/>\n2 x 4 tens\u00a0 = 8 tens,\u00a0 8 tens + 1 tens = 9 tens<br \/>\n7,346<br \/>\n<u>x\u00a0 \u00a0 2<\/u><span style=\"font-size: 16px;\"><br \/>\n<\/span><span style=\"font-size: 16px;\">\u00a0 \u00a0 92<br \/>\n<\/span>Step 3 : Multiply the hundreds.<br \/>\n2 x 3 hundreds = 6 hundreds<br \/>\n7,346<br \/>\n<u>x\u00a0 \u00a0 \u00a02<br \/>\n<\/u><span style=\"font-size: 16px;\">\u00a0 \u00a0692<br \/>\n<\/span>Step 4 : Multiply the thousands.<br \/>\n2 x 7 thousands = 14 thousands<br \/>\n7,346<br \/>\n<u>x\u00a0 \u00a0 \u00a02<br \/>\n<\/u><span style=\"text-decoration: underline;\">14,692<\/span><br \/>\nSo 7,346 x 2 = 14,692\u00a0 \u00a0 \u00a0 \u00a0 Reasonable 14,692 and\u00a0 is close to 15,000<\/p>\n<p>2. 12,053 x 3 =36,159<br \/>\nStep 1: Multiply the ones.<br \/>\n3 x 3 ones = 9 ones<br \/>\n12,053<br \/>\n<u>x\u00a0 \u00a0 \u00a0 3<br \/>\n<\/u>\u00a0 \u00a0 \u00a0 \u00a0 9<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n3 x 5 tens\u00a0 = 15 tens, Regroup 15 tens as 1 hundred and 5 tens<br \/>\n1<br \/>\n12,053<br \/>\n<u>x\u00a0 \u00a0 \u00a0 \u00a03<br \/>\n<\/u>\u00a0 \u00a0 \u00a0 \u00a059<br \/>\nStep 3 : Multiply the hundreds. Regroup<br \/>\n3 x 0 hundreds = 0 hundreds, Regroup 0 hundred +1 hundred = 1 hundred<br \/>\n12,053<br \/>\n<u>x\u00a0 \u00a0 \u00a0 3<\/u><br \/>\n159<br \/>\nStep 4 : Multiply the thousands.<br \/>\n3 x 2 thousands = 6 thousands<br \/>\n12,053<br \/>\n<u>x\u00a0 \u00a0 \u00a0 3<br \/>\n<\/u>\u00a0 6,159<br \/>\nStep 5\u00a0 : Multiply the ten thousands.<br \/>\n3 x 1 ten thousands = 3 ten thousands<br \/>\n12,053<br \/>\n<u>x\u00a0 \u00a0 \u00a0 3<br \/>\n<\/u><span style=\"text-decoration: underline;\">36,159<\/span><br \/>\n12,053 x 3 = 36,159\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 36,159 is close to 36,000<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15080\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-5.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 5\" width=\"70\" height=\"72\" \/><br \/>\nAnswer:<br \/>\n503 x 5 = 2,515\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable as 2,515 is close to 2,500<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones.<br \/>\n5 x 3 ones = 15 ones, Regroup 15 ones as 1 tens and 5 ones<br \/>\n1<br \/>\n503<br \/>\n<u>x\u00a0 5<br \/>\n<\/u>\u00a0 \u00a0 5<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n5 x 0 tens\u00a0 = 0 tens,\u00a0 0 tens + 1 tens = 1 tens<br \/>\n503<br \/>\n<u>x\u00a0 5<br \/>\n<\/u>\u00a0 15<br \/>\nStep 3 : Multiply the hundreds.<br \/>\n5 x 5 hundreds = 25 hundreds<br \/>\n503<br \/>\n<u>x\u00a0 5<br \/>\n<\/u><span style=\"text-decoration: underline;\">2,515<\/span><br \/>\n503 x 5 = 2,515\u00a0 \u00a0 \u00a0 \u00a0 Reasonable 2,515 is close to 2,500<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15081\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-6.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 6\" width=\"76\" height=\"71\" \/><br \/>\nAnswer:<br \/>\n5,295 x 9 = 47,655\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 47,655 is close to 48,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones. Regroup<br \/>\n9 x 5 ones = 45 ones, Regroup 45 ones as 4 tens and 5 ones<br \/>\n4<br \/>\n5,295<br \/>\n<u>x\u00a0 \u00a0 \u00a09<br \/>\n<\/u>\u00a0 \u00a0 \u00a0 5<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n9 x 9 tens\u00a0 = 81 tens, Regroup 81 tens+ 4 tens = 85 tens as 8 hundred and 5 tens<br \/>\n8<br \/>\n5,295<br \/>\n<u>x\u00a0 \u00a0 \u00a09<\/u><br \/>\n55<br \/>\nStep 3 : Multiply the hundreds. Regroup<br \/>\n9 x 2 hundreds = 18 hundreds, Regroup 18 hundred +8 hundred =<br \/>\n26 hundreds as 2 thousand and 6 hundreds<br \/>\n2<br \/>\n5,295<br \/>\n<u>x\u00a0 \u00a0 \u00a09<\/u><br \/>\n655<br \/>\nStep 4 : Multiply the thousands.<br \/>\n9 x 5 thousands = 45 thousands, Regroup 45 thousands+2 thousand=47 thousand<br \/>\n2<br \/>\n5,295<br \/>\n<u>x\u00a0 \u00a0 \u00a09\u00a0<\/u><br \/>\n<span style=\"text-decoration: underline;\">47,655<\/span><br \/>\n5,295 x 9\u00a0 =47,655\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 47,655 is close to 48,000<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15082\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-7.png\" alt=\"Big Ideas Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 7\" width=\"79\" height=\"78\" \/><br \/>\nAnswer:<br \/>\n87,294 x 3 = 2,61,882\u00a0 \u00a0 \u00a0 \u00a0 Reasonable 2,61,888 is close to 2,60,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones. Regroup<br \/>\n3 x 4 ones = 12 ones, Regroup 12 ones as 1 ten and 2 ones<br \/>\n1<br \/>\n87,294<br \/>\n<u>x\u00a0 \u00a0 \u00a0 3<br \/>\n<\/u>\u00a0 \u00a0 \u00a0 \u00a0 2<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n3 x 9 tens\u00a0 = 27 tens, Regroup\u00a0 27 tens + 1 ten = 28 tens as 2 hundred and 8 tens<br \/>\n2<br \/>\n87,294<br \/>\n<u>x\u00a0 \u00a0 \u00a0 \u00a03<\/u><br \/>\n82<br \/>\nStep 3 : Multiply the hundreds. Regroup<br \/>\n3 x 2 hundreds = 6 hundreds, Regroup 6 hundred +2 hundred = 8 hundreds<br \/>\n87,294<br \/>\n<u>x\u00a0 \u00a0 \u00a0 3<\/u><br \/>\n882<br \/>\nStep 4 : Multiply the thousands. Regroup<br \/>\n3 x 7 thousands = 21 thousands, Regroup as 2 ten thousands and 1 thousand<br \/>\n2<br \/>\n87,294<br \/>\n<u>x\u00a0 \u00a0 \u00a0 3 <\/u><br \/>\n1882<br \/>\nStep 5\u00a0 : Multiply the ten thousands.<br \/>\n3 x 8 ten thousands = 24 ten thousands,24 ten thousands+ 2 ten thousands<br \/>\n=26 ten thousands, regroup as 2 hundred thousand and 6 ten thousand<br \/>\n2<br \/>\n87,294<br \/>\n<u>x\u00a0 \u00a0 \u00a0 3<\/u><br \/>\n<span style=\"text-decoration: underline;\">2,61,882<\/span><br \/>\n<span style=\"font-size: 16px;\">87,294 x 3 =2,61,882\u00a0 \u00a0 \u00a0 \u00a0 Reasonable 2,61,888 is close to 2,60,000<\/span><\/p>\n<p>Question 6.<br \/>\n399 \u00d7 2 = _____<br \/>\nAnswer:<br \/>\n399 x 2 = 798\u00a0 \u00a0 \u00a0 \u00a0 Reasonable 798 is close to 800<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones.<br \/>\n2 x 9 ones = 18 ones, Regroup 1 ones as 1 tens and 8 ones<br \/>\n1<br \/>\n399<br \/>\n<u>x\u00a0 \u00a0 2<br \/>\n<\/u>\u00a0 \u00a0 \u00a0 8<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n2 x 9 tens\u00a0 = 18 tens,\u00a0 18 tens + 1 tens = 19 tens, Regroup 19 tens as 1 hundred\u00a0 and 9 tens<br \/>\n1<br \/>\n399<br \/>\n<u>x\u00a0 \u00a02<\/u>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<u><br \/>\n<\/u><span style=\"font-size: 16px;\">\u00a0 \u00a098<br \/>\n<\/span>Step 3 : Multiply the hundreds.<br \/>\n2 x 3 hundreds = 6 hundreds, Regroup 6 hundreds+1 hundreds=\u00a07 hundreds<br \/>\n399<br \/>\n<u>x\u00a0 \u00a02\u00a0<\/u><br \/>\n<span style=\"text-decoration: underline;\">798<\/span><br \/>\nSo 399 x 2 = 798\u00a0 \u00a0 \u00a0 \u00a0Reasonable 798 is close to 800<\/p>\n<p>Question 7.<br \/>\n33,184 \u00d7 2 = _____<br \/>\nAnswer:<br \/>\n33,184 x 2 =66,368\u00a0 Reasonable 66,368 is close to 66,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones.<br \/>\n2 x 4 ones =8 ones<br \/>\n33,184<br \/>\n<u>x\u00a0 \u00a0 \u00a0 2<br \/>\n<\/u>\u00a0 \u00a0 \u00a0 \u00a0 8<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n2 x 8 tens\u00a0 = 16 tens, Regroup 16 tens as 1 hundred\u00a0 and 6 tens<br \/>\n1<br \/>\n33,184<br \/>\n<u>x\u00a0 \u00a0 \u00a0 2<\/u><br \/>\n68<br \/>\nStep 3 : Multiply the hundreds. Regroup<br \/>\n2 x 1 hundreds = 2 hundreds, Regroup 2 hundreds +1 hundred = \u00a03 hundreds<br \/>\n33,184<br \/>\n<u>x\u00a0 \u00a0 \u00a0 2<\/u><br \/>\n368<br \/>\nStep 4 : Multiply the thousands.<br \/>\n2 x 3 thousands = 6 thousands<br \/>\n33,184<br \/>\n<u>x\u00a0 \u00a0 \u00a0 2<br \/>\n<\/u><span style=\"font-size: 16px;\">\u00a0 6368<br \/>\n<\/span>Step 5\u00a0 : Multiply the ten thousands.<br \/>\n2 x 3 ten thousands = 6 ten thousands<br \/>\n33184<br \/>\n<u>x\u00a0 \u00a0 \u00a0 2<br \/>\n<\/u><span style=\"font-size: 16px;\"><span style=\"text-decoration: underline;\">66,368<\/span><br \/>\n<\/span><span style=\"font-size: 16px;\">66,368\u00a0 x 2 = 66,368\u00a0 \u00a0 \u00a0 \u00a0 Reasonable 66,368 is close to 66,000<\/span><\/p>\n<p>Question 8.<br \/>\n60,759 \u00d7 4 = _______<br \/>\nAnswer:<br \/>\n60,759 x 4 = 2,43,036\u00a0 \u00a0 \u00a0 \u00a0 Reasonable 2,43,036 is close to 2,40,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones.<br \/>\n4 x 9 ones =36 ones, Regroup 36 ones as 3 tens and 6 ones<br \/>\n3<br \/>\n60759<br \/>\n<u>x\u00a0 \u00a0 \u00a0 4<br \/>\n<\/u>\u00a0 \u00a0 \u00a0 \u00a0 6<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n4 x 5 tens\u00a0 = 20 tens, Regroup 20 tens + 3 tens = 23 tens as 2 hundred and 3 tens<br \/>\n2<br \/>\n60759<br \/>\n<u>x\u00a0 \u00a0 \u00a0 4<\/u><br \/>\n36<br \/>\nStep 3 : Multiply the hundreds. Regroup<br \/>\n4 x 7 hundreds = 28 hundreds, Regroup 28 hundred +2 hundred =30 hundreds as 3 thousand and 0 hundreds<br \/>\n3<br \/>\n60759<br \/>\n<u>x\u00a0 \u00a0 \u00a0 4<\/u><br \/>\n036<br \/>\nStep 4 : Multiply the thousands.<br \/>\n4 x 0 thousands = 0 thousands , Regroup 0 thousands + 3 thousands=3\u00a0thousands<br \/>\n60759<br \/>\n<u>x\u00a0 \u00a0 \u00a04 <\/u><br \/>\n3036<br \/>\nStep 5\u00a0 : Multiply the ten thousands.<br \/>\n4 x 6 ten thousands =24 ten thousands<br \/>\n60759<br \/>\n<u>x\u00a0 \u00a0 \u00a0 4<br \/>\n<\/u><span style=\"font-size: 16px;\"><span style=\"text-decoration: underline;\">243068<\/span><br \/>\n<\/span>60,759 x 4 = 2,43,036\u00a0 \u00a0 \u00a0 \u00a0 Reasonable 2,43,036 is close to 2,40,000<\/p>\n<p>Question 9.<br \/>\nA multiplex has 9 different movie theaters. Each theater has 455 seats. How many seats are in the multiplex?<br \/>\nAnswer:<br \/>\n9 x 455 = 4,095 seats<br \/>\nExplanation:<br \/>\nGiven a multiplex has 9 different movie theaters, and each theater has 455 seats , so total number of seats in the multiplex is 9 x 455=4,095<br \/>\nthere are total 4,095 seats available.<\/p>\n<p>Question 10.<br \/>\nAn interstellar object travels 85,700 miles in 1 hour. How far does the object travel in 5 hours?<br \/>\nAnswer:<br \/>\n85,770 x 5 = 428,850 miles<br \/>\nExplanation:<br \/>\nGiven interstellar object travels 85,700 miles in 1 hour, in 5 hours the interstellar object will travel 85,770 x 5 = 428,850 miles<\/p>\n<p>Question 11.<br \/>\nWithout multiplying, determine how much greater 4,395 \u00d7 7 is than 4,395 \u00d7 6. Explain.<br \/>\nAnswer:<br \/>\nit is more by 4,395<br \/>\nExplanation:<br \/>\nComparing the values both the sides 4,395 is same and as 7 is one time more than 6 we multiply the value by one more time,<\/p>\n<p>so the value of 4,395 x 7 to 4,395 x 6 is one time greater by 4,395<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nFind the missing digits.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15083\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-8.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 8\" width=\"153\" height=\"102\" \/><br \/>\nAnswer:<br \/>\n40,716 \u00f7 3 = 13572 , Missing digits are 1 , 5, 2<br \/>\nExplanation:<br \/>\nTo get the missing digits we divide 40,716 by 3<br \/>\n3)40716(13572<br \/>\n3\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 3x 1=3<br \/>\n4-3 =1 , we take next digit 0 so it becomes10<br \/>\n&#8212;&#8212;<br \/>\n10\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 3 x 3=9<br \/>\n09\u00a0 \u00a0 \u00a0 \u00a0 \u00a010- 9=1 , we take next digit 7 becomes 17<br \/>\n&#8212;&#8212;<br \/>\n17\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 3x 5 = 15<br \/>\n15\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a017-15=2, we take next digit 1 becomes 21<br \/>\n&#8212;&#8212;<br \/>\n21\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a03 x 7 = 21<br \/>\n21\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a021-21 = 0,then we take next digit becomes 6<br \/>\n&#8212;&#8212;&#8211;<br \/>\n06\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 3 x 2 =6<br \/>\n6\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 6-6=0 and we ends as next\u00a0 no number<br \/>\n&#8212;&#8212;<br \/>\n0<\/p>\n<p>If 40,716 is divided\u00a0 by 3 we will get results as 13572\u00a0 and missing digits are 1 , 5, 2<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA Cuvier\u2019s beaked whale can dive 1,324 feet deeper than 4 times the depth a beluga whale can dive. How deep can a Cuvier\u2019s beaked whale dive?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15084\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-9.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 9\" width=\"195\" height=\"178\" \/><br \/>\nWrite and solve an equation to find the depth.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15085\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-10.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 10\" width=\"429\" height=\"64\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-10.png 429w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-10-300x45.png 300w\" sizes=\"(max-width: 429px) 100vw, 429px\" \/><br \/>\nLet d represent the diving depth of a Cuvier\u2019s beaked whale.<br \/>\nd = (4 \u00d7 2,123) + 1,324<br \/>\n= __8,492___ + 1,324<br \/>\n= __9,816___<br \/>\nA Cuvier\u2019s beaked whale can dive\u00a0 \u00a0<span style=\"text-decoration: underline;\">9,816<\/span> feet.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 13.<br \/>\nThe height of Chicago\u2019s Willis Tower is 469 feet more than 2 times the height of the Gateway Arch. How tall is Willis Tower?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15086\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-11.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 11\" width=\"190\" height=\"192\" \/><br \/>\nAnswer:<br \/>\nThe height of Chicago&#8217;s Willis Tower is 1,729 feet<br \/>\nExplanation:<br \/>\nWillis Tower = ( 2 X height of the Gateway Arch) +469 feet<br \/>\nGiven the height of the Gateway Arch in\u00a0 St.Louis as 630 feet<br \/>\nWillis Tower = ( 2 X 630 feet ) + 469 feet<br \/>\nWillis Tower = 1,260 + 469 = 1,729 feet<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe Amazon River is 350 miles shorter than 3 times the length of the Colorado River. How much longer is the Amazon River than the Mississippi River?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15087\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-12.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 12\" width=\"223\" height=\"101\" \/><br \/>\nAnswer:<br \/>\nAmazon River is 1,660 miles longer than the Mississippi River<br \/>\nExplanation:<br \/>\nGiven Amazon River is = ( 3 x Colorado River )- 350 miles<br \/>\nAmazon River = (3 x 1,450)-350 miles<br \/>\nAmazon River = 4,350 &#8211; 350 = 4,000 miles<br \/>\nNow comparing Amazon River with Mississippi River = Mississippi River &#8211; Amazon River = 4,000-2,340=1,660 miles<br \/>\nSo Amazon River is 1,660 miles longer than the Mississippi River<\/p>\n<h3><a id=\"Multiply_by_One-Digit_Numbers_Homework_&amp;_Practice_4.3\"><\/a>Multiply by One-Digit Numbers Homework &amp; Practice 4.3<\/h3>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15088\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-13.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 13\" width=\"68\" height=\"77\" \/><br \/>\nAnswer:<br \/>\n814 x 2=1,628\u00a0 \u00a0 Reasonable 1,624 is close to 1,600 or 2,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones.<br \/>\n2 x 4 ones = 8 ones.<br \/>\n814<br \/>\n<u>x\u00a0 \u00a02<br \/>\n<\/u>\u00a0 \u00a0 \u00a08<br \/>\nStep 2 : Multiply the tens.<br \/>\n2 x 1 tens\u00a0 = 2 tens,<br \/>\n814<br \/>\n<u>x\u00a0 \u00a02<\/u>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<u><br \/>\n<\/u><span style=\"font-size: 16px;\">\u00a0 28<br \/>\n<\/span>Step 3 : Multiply the hundreds.<br \/>\n2 x 8 hundreds = 16 hundreds<br \/>\n814<br \/>\n<u>x\u00a0 2 <\/u><br \/>\n<span style=\"text-decoration: underline;\">1,628<\/span><br \/>\n814 x 2=1,628\u00a0 \u00a0 \u00a0 Reasonable 1,624 is close to 2,000 or 1,600<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15089\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-14.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 14\" width=\"62\" height=\"78\" \/><br \/>\nAnswer:<br \/>\n206 x 4 = 824\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 824 is close to 1,000<br \/>\nStep 1: Multiply the ones.<br \/>\n4 x 6 ones = 24 ones. Regroup 24 ones as 2 tens and 4 ones<br \/>\n2<br \/>\n206<br \/>\n<u>x\u00a0 \u00a04<br \/>\n<\/u>\u00a0 \u00a0 \u00a04<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n4 x 0 tens\u00a0 = 0 tens, Regroup 0 tens + 2 tens = 2 tens<br \/>\n206<br \/>\n<u>x\u00a0 \u00a04<\/u>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<u><br \/>\n<\/u><span style=\"font-size: 16px;\">\u00a0 \u00a024<br \/>\n<\/span>Step 3 : Multiply the hundreds.<br \/>\n4 x 2 hundreds = 8 hundreds<br \/>\n206<br \/>\n<u>x\u00a0 4 <\/u><br \/>\n<span style=\"text-decoration: underline;\">824<\/span><br \/>\n206 x 4=824\u00a0 \u00a0 \u00a0 Reasonable 824 is close to 1,000<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15090\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-15.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 15\" width=\"76\" height=\"78\" \/><br \/>\nAnswer:<br \/>\n2,425 x 6 = 14,550\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 14,550 is close to 14,500<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones. Regroup<br \/>\n6 x 5 ones = 30 ones, Regroup 30 ones as 3 tens and 0 ones<br \/>\n3<br \/>\n2,425<br \/>\n<u>x\u00a0 \u00a0 \u00a06<br \/>\n<\/u>\u00a0 \u00a0 \u00a0 0<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n6 x 2 tens\u00a0 = 12 tens, Regroup 12 tens+ 3 tens = 15 tens as 1 hundred\u00a0 and 5 tens<br \/>\n1<br \/>\n2425<br \/>\n<u>x\u00a0 \u00a0 6<\/u><br \/>\n50<br \/>\nStep 3 : Multiply the hundreds. Regroup<br \/>\n6 x 4 hundreds = 24 hundreds, Regroup 24 hundred +1 hundred =\u00a025 hundreds as 2 thousand and 5 hundreds<br \/>\n2<br \/>\n2425<br \/>\n<u>x\u00a0 \u00a0 6<\/u><br \/>\n550<br \/>\nStep 4 : Multiply the thousands.<br \/>\n6 x 2 thousands = 12 thousands, Regroup 12 thousands+2 thousands as<br \/>\n14 thousand<br \/>\n2425<br \/>\n<u>x\u00a0 \u00a0 \u00a06 <\/u><br \/>\n<span style=\"text-decoration: underline;\">14,550<\/span><br \/>\n2,425 x 6 = 14,550 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 14,550 is close to 14,500<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15091\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-16.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 16\" width=\"65\" height=\"71\" \/><br \/>\nAnswer:<br \/>\n5,149 x 9 = 46,341\u00a0 \u00a0 \u00a0 Reasonable 46,341 is close to 46,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones. Regroup<br \/>\n9 x 9 ones = 81 ones, Regroup 81 ones as 8 tens and 1 ones<br \/>\n8<br \/>\n5149<br \/>\n<u>x\u00a0 \u00a0 \u00a09<br \/>\n<\/u>\u00a0 \u00a0 \u00a0 1<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n9 x 4 tens\u00a0 = 36 tens, Regroup 36 tens+ 8 tens =44 tens as 4 hundred\u00a0 and 4 tens<br \/>\n4<br \/>\n5149<br \/>\n<u>x\u00a0 \u00a0 9<\/u><br \/>\n41<br \/>\nStep 3 : Multiply the hundreds. Regroup<br \/>\n9 x 1 hundreds = 9 hundreds, Regroup 9 hundred +4 hundred =13 hundreds as<br \/>\n<span style=\"font-size: 16px;\">1 thousand and 3 hundreds<br \/>\n<\/span>1<br \/>\n5149<br \/>\n<u>x\u00a0 \u00a0 9<\/u><br \/>\n341<br \/>\nStep 4 : Multiply the thousands.<br \/>\n9 x 5 thousands = 45 thousands, Regroup 45 thousands+1 thousand as 46 thousand<br \/>\n5149<br \/>\n<u>x\u00a0 \u00a0 9 <\/u><br \/>\n<span style=\"text-decoration: underline;\">46,341<\/span><br \/>\n5,149 x 9 = 46,341\u00a0 \u00a0 \u00a0 Reasonable 46,341 is close to 46,000<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15092\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-17.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 17\" width=\"75\" height=\"74\" \/><br \/>\nAnswer:<br \/>\n17,823 x 3 = 53,469\u00a0 \u00a0 \u00a0 \u00a0 Reasonable 53,469 is close to 50,000 or 53,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones.<br \/>\n3 x 3 ones = 9 ones<br \/>\n17,823<br \/>\n<u>x\u00a0 \u00a0 \u00a0 3<br \/>\n<\/u>\u00a0 \u00a0 \u00a0 \u00a0 9<br \/>\nStep 2 : Multiply the tens.<br \/>\n3 x 2 tens\u00a0 = 6 tens<br \/>\n17,823<br \/>\n<u>x\u00a0 \u00a0 \u00a0 \u00a03<\/u><br \/>\n69<br \/>\nStep 3 : Multiply the hundreds. Regroup<br \/>\n3 x 8 hundreds = 24 hundreds, Regroup as 2 thousands and 4\u00a0hundreds<br \/>\n2<br \/>\n17823<br \/>\n<u>x\u00a0 \u00a0 \u00a0 3<br \/>\n<\/u>\u00a0 \u00a0 469<br \/>\nStep 4 : Multiply the thousands. Regroup<br \/>\n3 x 7 thousands = 21 thousands, Regroup 21 thousands+ 2 thousands= 23 thousands as 2 ten thousands and 3 thousands<br \/>\n2<br \/>\n17823<br \/>\n<u>x\u00a0 \u00a0 \u00a0 3 <\/u><br \/>\n3,469<br \/>\nStep 5\u00a0 : Multiply the ten thousands.<br \/>\n3 x 1 ten thousands = 3 ten thousands ,Regroup 3 ten thousands + 2 ten thousands = 5 ten thousands<br \/>\n17823<br \/>\n<u>x\u00a0 \u00a0 \u00a0 3<\/u><br \/>\n<span style=\"text-decoration: underline;\">53,469<\/span><br \/>\n<span style=\"font-size: 16px;\">17823 x 3 = 53,469\u00a0 \u00a0 \u00a0 Reasonable 53,469 is close to 50,000 or 53,000<br \/>\n<\/span><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15093\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-18.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 18\" width=\"84\" height=\"74\" \/><br \/>\nAnswer:<br \/>\n61,837 x 8 = 494,696\u00a0 \u00a0 \u00a0 \u00a0 Reasonable 494,696 is close to 500,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones.<br \/>\n8 x 7 ones =56 ones, Regroup 56 ones as 5 tens and 6 ones<br \/>\n5<br \/>\n61,837<br \/>\n<u>x\u00a0 \u00a0 \u00a0 8<br \/>\n<\/u>\u00a0 \u00a0 \u00a0 \u00a0 6<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n8 x 3 tens\u00a0 = 24 tens, Regroup 24 tens + 5 tens = 29 tens as 2 hundred and 9 tens<br \/>\n2<br \/>\n61,837<br \/>\n<u>x\u00a0 \u00a0 \u00a0 8<\/u><br \/>\n96<br \/>\nStep 3 : Multiply the hundreds. Regroup<br \/>\n8 x 8 hundreds = 64 hundreds, Regroup 64 hundred +2 hundred =66\u00a0 hundreds as 6 thousand and 6 hundreds<br \/>\n6<br \/>\n61837<br \/>\n<u>x\u00a0 \u00a0 \u00a0 8<\/u><br \/>\n696<br \/>\nStep 4 : Multiply the thousands. Regroup<br \/>\n8 x 1 thousands = 8 thousands , Regroup 8 thousands + 6 thousands=<br \/>\n14 thousands as 1 ten thousand and 4 thousands<br \/>\n1<br \/>\n61837<br \/>\n<u>x\u00a0 \u00a0 \u00a08 <\/u><br \/>\n4,696<br \/>\nStep 5\u00a0 : Multiply the ten thousands. Regroup<br \/>\n8 x 6 ten thousands =48 ten thousands, Regroup 48 ten thousands +1 ten thousand = 49 ten thousands<br \/>\n61837<br \/>\n<u>x\u00a0 \u00a0 \u00a0 8<\/u><br \/>\n<span style=\"text-decoration: underline;\">494,696<\/span><br \/>\n61,837 x 8 = 494,696\u00a0 \u00a0 \u00a0 \u00a0 Reasonable 494,696 is close to 500,000<\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 7.<br \/>\n4,257 \u00d7 5 = _______<br \/>\nAnswer:<br \/>\n4,257 x 5 = 21,285\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 21,285 is close to 20,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones. Regroup<br \/>\n5 x 7 ones = 35 ones, Regroup\u00a0 35 ones as 3 tens and 5 ones<br \/>\n3<br \/>\n4257<br \/>\n<u>x\u00a0 \u00a0 5<br \/>\n<\/u>\u00a0 \u00a0 \u00a05<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n5 x 5 tens\u00a0 = 25 tens, Regroup 25 tens+ 3 tens =28 tens as 2 hundreds and 8 tens<br \/>\n2<br \/>\n4257<br \/>\n<u>x\u00a0 \u00a0 5<\/u><br \/>\n85<br \/>\nStep 3 : Multiply the hundreds. Regroup<br \/>\n5 x 2 hundreds = 10 hundreds, Regroup 10 hundreds + 2 hundreds =\u00a012 hundreds as 1 thousand and 2 hundreds<br \/>\n1<br \/>\n4257<br \/>\n<u>x\u00a0 \u00a0 5<\/u><br \/>\n285<br \/>\nStep 4 : Multiply the thousands.<br \/>\n5 x 4 thousands = 20 thousands, Regroup 20 thousands + 1 thousand =21 thousands<br \/>\n4257<br \/>\n<u>x\u00a0 \u00a0 5 <\/u><br \/>\n<span style=\"text-decoration: underline;\">21,285<\/span><br \/>\n4,257 x 5 = 21,285\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 21,285 is close to 20,000<\/p>\n<p>Question 8.<br \/>\n6,702 \u00d7 6 = _____<br \/>\nAnswer:<br \/>\n6,702 x 6 = 40,212\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 40,212 is close to 40,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones. Regroup<br \/>\n6 x 2 ones = 12 ones, Regroup\u00a0 12 ones as 1 ten and 2 ones<br \/>\n1<br \/>\n6702<br \/>\n<u>x\u00a0 \u00a0 6<br \/>\n<\/u>\u00a0 \u00a0 \u00a02<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n6 x 0 tens\u00a0 = 0 tens, Regroup\u00a0 0 tens+ 1 tens =1 tens<br \/>\n6702<br \/>\n<u>x\u00a0 \u00a0 6<\/u><br \/>\n12<br \/>\nStep 3 : Multiply the hundreds. Regroup<br \/>\n6 x 7 hundreds = 42 hundreds, Regroup 42 hundreds as 4 thousands and 2 hundreds<br \/>\n4<br \/>\n6702<br \/>\n<u>x\u00a0 \u00a0 6<\/u><br \/>\n212<br \/>\nStep 4 : Multiply the thousands.<br \/>\n6 x 6 thousands = 36 thousands, Regroup 36 thousands+ 4 thousand = 40 thousands<br \/>\n6702<br \/>\n<u>x\u00a0 \u00a0 6 <\/u><br \/>\n<span style=\"text-decoration: underline;\">40,212<\/span><br \/>\n6,702 x 6 = 40,212\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 40,212 is close to 40,000<br \/>\nQuestion 9.<br \/>\n28,956 \u00d7 7 = ______<br \/>\nAnswer:<br \/>\n28,956 x 7 = 2,02,692\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 2,02,692 is close to 2,00,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones.<br \/>\n7 x 6 ones =42 ones, Regroup 42 ones as 4 tens and 2 ones<br \/>\n4<br \/>\n28,956<br \/>\n<u>x\u00a0 \u00a0 \u00a0 \u00a07<br \/>\n<\/u>\u00a0 \u00a0 \u00a0 \u00a0 2<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n7 x 5 tens\u00a0 = 35 tens, Regroup 35 tens + 4 tens = 39 tens as 3 hundreds and 9 tens<br \/>\n3<br \/>\n28956<br \/>\n<u>x\u00a0 \u00a0 \u00a0 7<\/u><br \/>\n92<br \/>\nStep 3 : Multiply the hundreds. Regroup<br \/>\n7 x 9 hundreds = 63 hundreds, Regroup 63 hundreds +3 hundred =<br \/>\n66\u00a0 hundreds as 6 thousand and 6 hundreds<br \/>\n6<br \/>\n28956<br \/>\n<u>x\u00a0 \u00a0 \u00a0 7<\/u><br \/>\n692<br \/>\nStep 4 : Multiply the thousands. Regroup<br \/>\n7 x 8 thousands = 56 thousands , Regroup 56 thousands + 6 thousands=<br \/>\n62 thousands as 6 ten thousand and 2 thousands<br \/>\n6<br \/>\n28956<br \/>\n<u>x\u00a0 \u00a0 \u00a0 7 <\/u><br \/>\n2692<br \/>\nStep 5\u00a0 : Multiply the ten thousands. Regroup<br \/>\n7 x 2 ten thousands = 14\u00a0 ten thousands, Regroup 14 ten thousands +<br \/>\n6 ten thousands = 20 ten thousands<br \/>\n28956<br \/>\n<u>x\u00a0 \u00a0 \u00a0 7<\/u><br \/>\n<span style=\"text-decoration: underline;\">20,2692<\/span><br \/>\n28,956 x 7 = 2,02,692\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 2,02,692 is close to 2,00,000<\/p>\n<p>Question 10.<br \/>\nA parking garage has 8 levels. There are 194 parking spots on each level. How many parking spots does the garage have?<br \/>\nAnswer:<br \/>\n194 x 8 =1,552 parking spots<br \/>\nExplanation:<br \/>\nGiven a parking garage has 8 levels and each level has 194 parking spots so total number of parking spots are 194 is multiplied by 8 ,194 x 8 =1,552 , there are total<br \/>\n1,552 parking spots available in the garage.<br \/>\nQuestion 11.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nNewton finds 16,041 \u00d7 8. Is Newton correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15094\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-19.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 19\" width=\"92\" height=\"92\" \/><br \/>\nAnswer:<br \/>\nYes, Newton is correct<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones.<br \/>\n8 x 1 ones = 8 ones<br \/>\n16,041<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a0 \u00a0 \u00a08<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 \u00a0 8<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n8 x 4 tens\u00a0 = 32 tens, Regroup 3 hundreds and 2 tens<br \/>\n3<br \/>\n16,041<br \/>\n<u>x\u00a0 \u00a0 \u00a0 8<\/u><br \/>\n28<br \/>\nStep 3 : Multiply the hundreds. Regroup<br \/>\n8 x 0 hundreds = 0 hundreds, Regroup 0 hundreds +3 hundreds = 3\u00a0hundreds<br \/>\n16,041<br \/>\n<u>x\u00a0 \u00a0 \u00a0 8<\/u><br \/>\n328<br \/>\nStep 4 : Multiply the thousands. Regroup<br \/>\n8 x 6 thousands = 48 thousands , Regroup 48 thousands as 4 ten thousand and 8 thousands<br \/>\n4<br \/>\n16,041<br \/>\n<u>x\u00a0 \u00a0 \u00a0 8\u00a0<\/u><br \/>\n8328<br \/>\nStep 5\u00a0 : Multiply the ten thousands. Regroup<br \/>\n8 x 1 ten thousands = 8 ten thousands, Regroup 8 ten thousands + 4 ten thousands = 12 ten thousands<br \/>\n16,041<br \/>\n<u>x\u00a0 \u00a0 \u00a0 8<\/u><br \/>\n<span style=\"text-decoration: underline;\">128,328<\/span><br \/>\nAs the value of 16,041 x 8 = 128,328, Yes Newton is correct<br \/>\nQuestion 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWrite a different multiplication problem that has the same product as 726 \u00d7 5.<br \/>\nAnswer:<br \/>\n726 x 5 =3,630<br \/>\n605 x 6 =3,630<br \/>\nExplanation:<br \/>\nwe divide the product 3630 by 6<\/p>\n<p><a href=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-2.bmp\"><img loading=\"lazy\" class=\"alignnone size-medium wp-image-19696\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-2-300x210.jpg\" alt=\"\" width=\"300\" height=\"210\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-2-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-2.bmp 494w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><br \/>\nwe get Quotient as 605 means\u00a0 when we multiply 605 x 6 we get the\u00a0 same product result 3,630 similarly when 726 x 5 is multiplied,<br \/>\nSo 726 x 5 = 605 x 6<\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThe land area of Florida is 8,056 square miles more than 5 times the land area of Vermont. What is the land area of Florida?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15095\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.3-20.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers 4.3 20\" width=\"164\" height=\"199\" \/><br \/>\nAnswer:<br \/>\nThe land area of Florida is 49,496 square miles<br \/>\nExplanation:<br \/>\nGiven land area of Florida is 8,056 square miles more than 5 times the land area of Vermont and land area of Vermont is 9,216 square miles<br \/>\nland area of Florida = ( 5 x land area of Vermont ) + 9,216 square miles<br \/>\nland area of Florida = ( 5 x 8056 ) + 9,216 square miles<br \/>\nland area of Florida =40280+9,216 = 49,496 square miles<br \/>\nSo the land area of Florida is 49,496 square miles.<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA solar farm has 6 rectangular arrays of solar panels. Each array has 105 rows with 8 panels in each row. How many solar panels are on the solar farm?<br \/>\nAnswer:<br \/>\n6 x 105 x 8 = 5,040 panels<br \/>\nExplanation:<br \/>\nGiven a solar farm has 6 rectangular arrays of solar panels and each array has 105 rows with 8 panels in each row so there are 105 x 8 = 840 panels and we have total 6 rectangular arrays<br \/>\nSo total number of solar panels available are 6 x 840 =5,040 panels<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Multiply.<\/strong><br \/>\nQuestion 15.<br \/>\n2 \u00d7 \\(\\frac{1}{4}\\)<br \/>\nAnswer:<br \/>\n2 x 1\/4=1\/2 or 1 by 2<br \/>\nExplanation:<br \/>\nWhen 2 is multiplied by fraction of 1,4 we get 2 x 1\/4 as 1\/2 or 1 by 2<\/p>\n<p>Question 16.<br \/>\n3 \u00d7 \\(\\frac{2}{6}\\)<br \/>\nAnswer:<br \/>\n3 x 2\/6 = 6\/6 =1<br \/>\nExplanation:<br \/>\nWhen 3 is multiplied by fraction of 2,6 we get 3 x 2\/6 as 6\/6 equals to 1<\/p>\n<p>Question 17.<br \/>\n1 \u00d7 \\(\\frac{7}{10}\\)<br \/>\nAnswer:<br \/>\n1 x 7\/10 = 7\/10 or 0.7<br \/>\nExplanation:<br \/>\nWhen 1 is multiplied by fraction of 7,10 we get 1 x 7\/10 as 7\/10 or 0.7<\/p>\n<h3><a id=\"Lesson_4.4_Multiply_by_Two-Digit_Numbers\"><\/a>Lesson 4.4 Multiply by Two-Digit Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use the area model and partial products to find 28 \u00d7 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15096\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 1\" width=\"435\" height=\"254\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-1.png 435w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-1-300x175.png 300w\" sizes=\"(max-width: 435px) 100vw, 435px\" \/><br \/>\nAnswer:<br \/>\n28 x 13 = 364\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 364 is close to 400<br \/>\nExplanation:<br \/>\nStep 1: Multiply 28 by 3 ones. Regroup<br \/>\n3 ones x 28 = 84 ones<br \/>\n2<br \/>\n28<br \/>\n<span style=\"text-decoration: underline;\">x 13<br \/>\n<\/span>\u00a0 84<br \/>\nStep 2: Multiply 28 by 1 tens or 10, Regroup<br \/>\n1 tens x 28 =28 tens =280 ones<br \/>\n28<br \/>\n<span style=\"text-decoration: underline;\">x 13<br \/>\n<\/span>\u00a0 84<br \/>\n280<br \/>\nStep 3 : Add the partial products.<br \/>\n28<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a013<br \/>\n<\/span>\u00a0 \u00a0 84<br \/>\n<span style=\"text-decoration: underline;\">+280<br \/>\n364<br \/>\n<\/span>28 x 13 =364\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 364 is close to 400<\/p>\n<p><strong>Repeated Reasoning<\/strong><br \/>\nExplain how you can use an area model and partial products to find 128 \u00d7 13.<br \/>\nAnswer:<br \/>\n128 x 13 =1,664\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 1,664 is close to 1,600<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-19722 size-full\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-3.bmp\" alt=\"\" width=\"494\" height=\"345\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-3.bmp 494w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-3-300x210.jpg 300w\" sizes=\"(max-width: 494px) 100vw, 494px\" \/><\/p>\n<p>Step 1: Multiply 128 by 3 ones. Regroup<br \/>\n3 ones x 128 = 384 ones<br \/>\n2<br \/>\n128<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 13<br \/>\n<\/span>\u00a0384<br \/>\nStep 2: Multiply 128 by 1 tens or 10, Regroup<br \/>\n1 tens x 128 =128 tens =1280 ones<br \/>\n128<br \/>\n<span style=\"text-decoration: underline;\">\u00a0 \u00a0 x 13<br \/>\n<\/span>\u00a0 \u00a0 384<br \/>\n1280<br \/>\nStep 3 : Add the partial products.<br \/>\n128<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a0 \u00a013<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 384<br \/>\n<span style=\"text-decoration: underline;\">+ 1280<br \/>\n1664<br \/>\n<\/span>128 x 13 =1,664\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 1,664 is close to 1,600<\/p>\n<p><strong>Think and Grow: Multiply by a Two-Digit Number<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 312 \u00d7 82. Estimate _______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15097\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-2.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 2\" width=\"620\" height=\"482\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-2.png 620w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-2-300x233.png 300w\" sizes=\"(max-width: 620px) 100vw, 620px\" \/><\/p>\n<p>So 312 x 82= 25,584\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 25,584 is close to 25,500<strong><br \/>\nShow and Grow<\/strong><\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15098\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-3.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 3\" width=\"63\" height=\"66\" \/><br \/>\nAnswer:<br \/>\n184 x 23 = 4,232\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 4,232 is close to 4,000<\/p>\n<p>Explanation:<br \/>\nStep 1: Multiply 184 by 3 ones. Regroup<br \/>\n3 ones x 184 = 552 ones<br \/>\n21<br \/>\n184<br \/>\n<span style=\"text-decoration: underline;\">x 23<br \/>\n<\/span>552<br \/>\nStep 2: Multiply 184 by 2 tens or 20, Regroup<br \/>\n2 tens x 184 =368 tens =3680 ones<br \/>\n1<br \/>\n184<br \/>\n<span style=\"text-decoration: underline;\">\u00a0 x 23<br \/>\n<\/span>\u00a0 552<br \/>\n3680<br \/>\nStep 3 : Add the partial products.<br \/>\n184<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a023<br \/>\n<\/span>\u00a0 \u00a0 \u00a0552<br \/>\n<span style=\"text-decoration: underline;\">+3680<br \/>\n4232<br \/>\n<\/span>184 x 23 =4,232\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 4,232 is close to 4,000<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15099\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-4.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 4\" width=\"59\" height=\"80\" \/><br \/>\nAnswer:<br \/>\n817 x 49 = 40,033\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 40,033 is close to 40,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply 817 by 9 ones. Regroup<br \/>\n9 ones x 817 = 7353 ones<br \/>\n1 6<br \/>\n817<br \/>\n<span style=\"text-decoration: underline;\">x 49<br \/>\n<\/span>7353<br \/>\nStep 2: Multiply 817 by 4 tens or 40, Regroup<br \/>\n4 tens x 817 =3,268 tens =32680 ones<br \/>\n2<br \/>\n817<br \/>\n<span style=\"text-decoration: underline;\">\u00a0 x 49<br \/>\n<\/span>\u00a0 7353<br \/>\n32680<br \/>\nStep 3 : Add the partial products.<br \/>\n817<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a049<br \/>\n<\/span>\u00a0 \u00a0 \u00a07353<br \/>\n<span style=\"text-decoration: underline;\">+32680<br \/>\n40033<br \/>\n<\/span>817 x 49 =40,033\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 40,033 is close to 40,000<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15100\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-5.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 5\" width=\"69\" height=\"80\" \/><br \/>\nAnswer:<br \/>\n5046 x 91 = 4,59,186\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 4,59,186 is close to 4,60,000<\/p>\n<p>Explanation:<br \/>\nStep 1: Multiply 5046 by 1 ones. Regroup<br \/>\n1 ones x\u00a0 = 5046 ones<br \/>\n5046<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 91<br \/>\n<\/span>5046<br \/>\nStep 2: Multiply 5046 by 9 tens or 90, Regroup<br \/>\n9 tens x 5046 =45,414 tens =45,4140 ones<br \/>\n45<br \/>\n5046<br \/>\n<span style=\"text-decoration: underline;\">\u00a0 x\u00a0 \u00a091<br \/>\n<\/span>\u00a0 \u00a0 5046<br \/>\n454140<br \/>\nStep 3 : Add the partial products.<br \/>\n5046<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a0 \u00a0 91<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 \u00a0 5046<br \/>\n<span style=\"text-decoration: underline;\">+ 454140<br \/>\n4,59,186<br \/>\n<\/span>5046 x 91 = 4,59,186\u00a0 \u00a0 \u00a0 \u00a0 Reasonable 4,59,186 is close to 4,60,000<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15101\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-6.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 6\" width=\"59\" height=\"81\" \/><br \/>\nAnswer:<br \/>\n96 x 24 = 2,304\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 2,304 is close to 2,300<\/p>\n<p>Explanation:<br \/>\nStep 1: Multiply 96 by 4 ones. Regroup<br \/>\n4 ones x 96 =\u00a0 ones<br \/>\n2<br \/>\n96<br \/>\n<span style=\"text-decoration: underline;\">x 24<br \/>\n<\/span>384<br \/>\nStep 2: Multiply 96 by 2 tens or 20, Regroup<br \/>\n2 tens x 96 =192 tens =1920 ones<br \/>\n1<br \/>\n96<br \/>\n<span style=\"text-decoration: underline;\">\u00a0x 24<br \/>\n<\/span>\u00a0 384<br \/>\n1920<br \/>\nStep 3 : Add the partial products.<br \/>\n96<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a024<br \/>\n<\/span>\u00a0 \u00a0 \u00a0384<br \/>\n<span style=\"text-decoration: underline;\">+1920<br \/>\n2,304<br \/>\n<\/span>96 x 24 = 2,304\u00a0 \u00a0 \u00a0 \u00a0 Reasonable 2,304 is close to 2,300<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15102\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-7.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 7\" width=\"60\" height=\"70\" \/><br \/>\nAnswer:<br \/>\n108 x 19 = 2,052\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 2,052 is close to 2,000<\/p>\n<p>Explanation:<br \/>\nStep 1: Multiply 108 by 9 ones. Regroup<br \/>\n9 ones x 108 = 972 ones<br \/>\n7<br \/>\n108<br \/>\n<span style=\"text-decoration: underline;\">x 19<br \/>\n<\/span>972<br \/>\nStep 2: Multiply 108 by 1 tens or 10, Regroup<br \/>\n1 tens x 108 =108 tens =1080 ones<br \/>\n108<br \/>\n<span style=\"text-decoration: underline;\">\u00a0 x 19<br \/>\n<\/span>\u00a0 972<br \/>\n1080<br \/>\nStep 3 : Add the partial products.<br \/>\n108<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 19<br \/>\n<\/span>\u00a0 \u00a0 \u00a0972<br \/>\n<span style=\"text-decoration: underline;\">+1080<br \/>\n2,052<br \/>\n<\/span>108 x 19 = 2,052\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 2,052 is close to 2,000<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15103\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-8.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 8\" width=\"72\" height=\"87\" \/><br \/>\nAnswer:<br \/>\n6420 x 75 = 4,81,500\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 4,81,500 is close to 5,00,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply 6420 by 5 ones. Regroup<br \/>\n5 ones x 6420 = 32100 ones<br \/>\n21<br \/>\n6420<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 75<br \/>\n<\/span>32,100<br \/>\nStep 2: Multiply 6420 by 7 tens or 70, Regroup<br \/>\n7 tens x 6420 =44,940 tens =449400 ones<br \/>\n6420<br \/>\n<span style=\"text-decoration: underline;\">\u00a0 x 75<br \/>\n<\/span>\u00a0 32100<br \/>\n449400<br \/>\nStep 3 : Add the partial products.<br \/>\n6420<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a075<br \/>\n<\/span>\u00a0 \u00a0 \u00a032100<br \/>\n<span style=\"text-decoration: underline;\">+449400<br \/>\n481500<br \/>\n<\/span>6420 x 75 = 4,81,500\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 4,81,500 is close to 5,00,000<\/p>\n<p>Question 7.<br \/>\n802 \u00d7 41 = ______<br \/>\nAnswer:<br \/>\n802 x 41 = 32,882\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 32,882 is close to 33,000<\/p>\n<p>Explanation:<br \/>\nStep 1: Multiply 802 by 1 ones. Regroup<br \/>\n1 ones x 802 = 802 ones<br \/>\n802<br \/>\n<span style=\"text-decoration: underline;\">x 41<br \/>\n<\/span>802<br \/>\nStep 2: Multiply 802 by 4 tens or 40, Regroup<br \/>\n4 tens x 802 =3208 tens =32080 ones<br \/>\n802<br \/>\n<span style=\"text-decoration: underline;\">\u00a0 x 41<br \/>\n<\/span>\u00a0 802<br \/>\n32080<br \/>\nStep 3 : Add the partial products.<br \/>\n802<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a0 \u00a0 \u00a041<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 \u00a0802<br \/>\n<span style=\"text-decoration: underline;\">+32080<br \/>\n32,882<br \/>\n<\/span>802 x 41 = 32,882\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 32,882 is close to 33,000<\/p>\n<p>Question 8.<br \/>\n577 \u00d7 86 = _____<br \/>\nAnswer:<br \/>\n577 x 86 = 49,622\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 49,622 is close to 50,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply 577 by 6 ones. Regroup<br \/>\n6 ones x 577 =3,462 ones<br \/>\n4 4<br \/>\n577<br \/>\n<span style=\"text-decoration: underline;\">x 86<br \/>\n<\/span>3462<br \/>\nStep 2: Multiply 577 by 8 tens or 80, Regroup<br \/>\n8 tens x 577 =4616 tens =46160 ones<br \/>\n577<br \/>\n<span style=\"text-decoration: underline;\">\u00a0 x 86<br \/>\n<\/span>\u00a0 3462<br \/>\n46160<br \/>\nStep 3 : Add the partial products.<br \/>\n577<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a0 \u00a0 86<br \/>\n<\/span>\u00a0 \u00a0 3462<br \/>\n<span style=\"text-decoration: underline;\">+46160<br \/>\n49622<br \/>\n<\/span>577 x 86 = 49,622\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 49,622 is close to 50,000<\/p>\n<p>Question 9.<br \/>\n9,513 \u00d7 67 = _____<br \/>\nAnswer:<br \/>\n9513 x 67 = 6,37,371\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable\u00a0 6,37,371\u00a0 \u00a0is close to 6,50,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply 9513 by 7 ones. Regroup<br \/>\n7 ones x 9513 =66,591 ones<br \/>\n2<br \/>\n9513<br \/>\n<span style=\"text-decoration: underline;\">x 67<br \/>\n<\/span><span style=\"text-decoration: underline;\">66,591<\/span><br \/>\nStep 2: Multiply 9513 by 6 tens or 60, Regroup<br \/>\n6 tens x 9513 =57078 tens = 570780 ones<br \/>\n9513<br \/>\n<span style=\"text-decoration: underline;\">\u00a0 x 67<br \/>\n<\/span>\u00a0 66591<br \/>\n570780<br \/>\nStep 3 : Add the partial products.<br \/>\n9513<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a0 \u00a0 67<br \/>\n<\/span>\u00a0 \u00a0 66591<br \/>\n<span style=\"text-decoration: underline;\">+570780<br \/>\n637371<br \/>\n<\/span>9513 x 67 = 6,37,371\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable\u00a0 6,37,371\u00a0 \u00a0is close to 6,50,000<\/p>\n<p>Question 10.<br \/>\nIs 6,364 a reasonable product for 706 \u00d7 45? Explain your reasoning.<br \/>\nAnswer:<br \/>\nNo 6,344 is not a reasonable product for 706 x 45 as 706 x 45 = 31,770<br \/>\nExplanation:<br \/>\nWhen we multiply 706 x 45 we get result as 31,770<br \/>\nas 6,364\u00a0 is not at all close to 31,770, So 6,344 is not reasonable product for 706 x 45<\/p>\n<p>Question 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWhich two-digit number when multiplied by itself has a product of 625?<br \/>\nAnswer:<br \/>\n25, because 25 x 25 = 625<br \/>\nExplanation:<br \/>\nGiven that a two-digit number when multiplied by itself has a product of 625<br \/>\nlets take the two digit number as X and X x X = 625<br \/>\nX<sup>2<\/sup>=625 so X = square root of 625 = \u221a625= \u221a25 x 25, X = 25<br \/>\nSo 25 when multiplied by itself we get 625<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA blood bank receives 58 donors in 1 day. Each person donates 1 pint, or about 473 milliliters of blood. About how many milliliters of blood are donated that day?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15104\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-9.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 9\" width=\"191\" height=\"136\" \/><br \/>\nMultiply the number of people by the amount of blood each person donates to find the total amount of blood donated.<br \/>\nMultiply 473 and 58.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15105\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-10.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 10\" width=\"453\" height=\"147\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-10.png 453w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-10-300x97.png 300w\" sizes=\"(max-width: 453px) 100vw, 453px\" \/><br \/>\nSo, about _27,434_ milliliters of blood are donated that day.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 12.<br \/>\nA store sells 15 drones. How much money does the store collect?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15106\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-11.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 11\" width=\"181\" height=\"114\" \/><br \/>\nAnswer:<br \/>\n248 x 15 = $3,720<br \/>\nExplanation:<br \/>\nGiven the cost of drone as $248 and the store sells 15 drones, total money collected in the store is $248 x 15=$3,720<br \/>\nStep 1: Multiply 248 by 5 ones. Regroup<br \/>\n5 ones x 248 = 1240 ones<br \/>\n4<br \/>\n248<br \/>\n<span style=\"text-decoration: underline;\">x15<br \/>\n<\/span><span style=\"text-decoration: underline;\">1240<\/span><br \/>\nStep 2: Multiply 248 by 1 tens or 10, Regroup<br \/>\n1 tens x 248 =248 tens = 2480 ones<br \/>\n248<br \/>\n<span style=\"text-decoration: underline;\">\u00a0 x 15<br \/>\n<\/span>\u00a01240<br \/>\n2480<br \/>\nStep 3 : Add the partial products.<br \/>\n248<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 15<br \/>\n<\/span>\u00a0 1240<br \/>\n<span style=\"text-decoration: underline;\">+2480<br \/>\n3720<br \/>\n<\/span>The store collected total amount is $3,720<\/p>\n<p>Question 13.<br \/>\nWhat is the area of the soccer field?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15107\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-12.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 12\" width=\"222\" height=\"139\" \/><br \/>\nAnswer:<br \/>\nThe area of the soccer field is 120 x 80 =9,600 square yards<br \/>\nExplanation:<br \/>\nStep 1: Multiply 120 by 0 ones.<br \/>\n0 ones x 120 =120 ones<br \/>\n120<br \/>\n<span style=\"text-decoration: underline;\">x 80<br \/>\n<\/span><span style=\"text-decoration: underline;\">000<\/span><br \/>\nStep 2: Multiply 120 by 8 tens or 80, Regroup<br \/>\n8 tens x 120 =960 tens =\u00a0 9600 ones<br \/>\n120<br \/>\n<span style=\"text-decoration: underline;\">x 80<br \/>\n<\/span>\u00a0000<span style=\"text-decoration: underline;\"><br \/>\n<\/span>9600<br \/>\nStep 3 : Add the partial products.<br \/>\n120<br \/>\n<span style=\"text-decoration: underline;\">x 80<br \/>\n<\/span>\u00a0 \u00a0000<span style=\"text-decoration: underline;\"><br \/>\n+9600<br \/>\n9600<br \/>\n<\/span>The total area of the soccer field is 120 x 80 =9,600 square yards<\/p>\n<p>Question 14.<br \/>\nThe Cassini spacecraft orbited Saturn for 13 years and 77 days. Three of those years were leap years. For how many days did the Cassini spacecraft orbit Saturn? Justify your answer.<br \/>\nAnswer:<br \/>\nCassini spacecraft orbited Saturn for total 4,825 days<br \/>\nExplanation:<br \/>\nGiven the Cassini spacecraft orbited Saturn for 13 years and 77 days and three of those years were leap, First we need to convert years to days and add to 77 days, we know\u00a0 each year has 365 days so first we multiply 365 with 13= 365 x 13 = 4,745 days,<br \/>\n365<br \/>\n<span style=\"text-decoration: underline;\">x 13<\/span><br \/>\n<span style=\"text-decoration: underline;\">4,745<\/span><br \/>\nAnd we know leap year has 366 days and in 13 years we have 3 leap years so we will add 3 more days to 4,745+3=4,748 days or<br \/>\nadding 3 days as it is saying in 13 years leap years 3 years are leap to 4,745 days=4,745+3=4,748 days<br \/>\n3 days as 3 are leap years<br \/>\n4745<br \/>\n<span style=\"text-decoration: underline;\">+\u00a0 \u00a03<\/span><br \/>\n<span style=\"text-decoration: underline;\">4,748<\/span><br \/>\nNow adding 4,748 and 77 days<br \/>\n4,748<br \/>\n<span style=\"text-decoration: underline;\">+\u00a0 \u00a077<\/span><br \/>\n<span style=\"text-decoration: underline;\">4,825<br \/>\n<\/span>Cassini spacecraft orbited Saturn for total 4,825 days<\/p>\n<h3><a id=\"Multiply_by_Two-Digit_Numbers_Homework_&amp;_Practice_4.4\"><\/a>Multiply by Two-Digit Numbers Homework &amp; Practice 4.4<\/h3>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15108\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-13.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 13\" width=\"60\" height=\"75\" \/><br \/>\nAnswer:<br \/>\n107 x 11 =1,177\u00a0 \u00a0 \u00a0reasonable 1,177 is close to 1,000 or 12,00<br \/>\nExplanation:<br \/>\nStep 1: Multiply 107 by 1 ones.<br \/>\n1 ones x 107 =107 ones<br \/>\n107<br \/>\n<span style=\"text-decoration: underline;\">x 11<br \/>\n<\/span><span style=\"text-decoration: underline;\">107<\/span><br \/>\nStep 2: Multiply 107 by 1 tens or 10, Regroup<br \/>\n1 tens x 107 =107 tens =\u00a0 1070 ones<br \/>\n107<br \/>\n<span style=\"text-decoration: underline;\">x 11<br \/>\n<\/span>\u00a0107<span style=\"text-decoration: underline;\"><br \/>\n<\/span>1070<br \/>\nStep 3 : Add the partial products.<br \/>\n107<br \/>\n<span style=\"text-decoration: underline;\">x 11<br \/>\n<\/span>\u00a0 \u00a0 107<span style=\"text-decoration: underline;\"><br \/>\n+1070<br \/>\n1,177<br \/>\n<\/span>107 x 11 =1,177\u00a0 \u00a0 \u00a0 reasonable 1,177 is close to 1,000 or 12,00<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15109\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-14.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 14\" width=\"60\" height=\"78\" \/><br \/>\nAnswer:<br \/>\n72 x 13 = 936\u00a0 \u00a0 \u00a0 \u00a0reasonable 936 is close to 1,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply 72 by 3 ones.<br \/>\n3 ones x 72 =216 ones<br \/>\n72<br \/>\n<span style=\"text-decoration: underline;\">x 13<br \/>\n<\/span><span style=\"text-decoration: underline;\">216<\/span><br \/>\nStep 2: Multiply 72 by 1 tens or 10, Regroup<br \/>\n1 tens x 72 =72 tens =\u00a0 720 ones<br \/>\n72<br \/>\n<span style=\"text-decoration: underline;\">x 13<br \/>\n<\/span>\u00a0216<span style=\"text-decoration: underline;\"><br \/>\n<\/span>\u00a0720<br \/>\nStep 3 : Add the partial products.<br \/>\n72<br \/>\n<span style=\"text-decoration: underline;\">x 13<br \/>\n<\/span>\u00a0 \u00a0216<span style=\"text-decoration: underline;\"><br \/>\n+720<br \/>\n936<br \/>\n<\/span>72 x 13 =936\u00a0 \u00a0 \u00a0\u00a0reasonable 936 is close to 1,000<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15110\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-15.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 15\" width=\"66\" height=\"76\" \/><br \/>\nAnswer:<br \/>\n466 x 27 = 12,582\u00a0 \u00a0 \u00a0 \u00a0reasonable\u00a0 12,582 is close to 13000 or 12,600<br \/>\nExplanation:<br \/>\nStep 1: Multiply 466 by 7 ones.<br \/>\n7 ones x 466 = 3262 ones<br \/>\n44<br \/>\n466<br \/>\n<span style=\"text-decoration: underline;\">x 27<br \/>\n<\/span>3262<br \/>\nStep 2: Multiply 466 by 2 tens or 20, Regroup<br \/>\n2 tens x 466 =932 tens = 9320 ones<br \/>\n466<br \/>\n<span style=\"text-decoration: underline;\">x 27<br \/>\n<\/span>\u00a03262<span style=\"text-decoration: underline;\"><br \/>\n<\/span>\u00a09320<br \/>\nStep 3 : Add the partial products.<br \/>\n466<br \/>\n<span style=\"text-decoration: underline;\">x 27<br \/>\n<\/span>\u00a0 3262<span style=\"text-decoration: underline;\"><br \/>\n+9320<br \/>\n12,582<br \/>\n<\/span>466 x 27 = 12,582\u00a0 \u00a0 reasonable\u00a0 \u00a012,582 is close to 13000 or 12,600<\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15111\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-16.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 16\" width=\"61\" height=\"78\" \/><br \/>\nAnswer:<br \/>\n83 x 57 = 4,731\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0reasonable 4731 is close to 5,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply 83 by 7 ones.<br \/>\n7 ones x 83 = 581 ones<br \/>\n2<br \/>\n83<br \/>\n<span style=\"text-decoration: underline;\">x 57<br \/>\n<\/span><u>581<\/u><br \/>\nStep 2: Multiply 83 by 5 tens or 50, Regroup<br \/>\n5 tens x 83 =415 tens =\u00a0 4150 ones<br \/>\n83<br \/>\n<span style=\"text-decoration: underline;\">x 57<br \/>\n<\/span>\u00a0 518<span style=\"text-decoration: underline;\"><br \/>\n<\/span>4150<br \/>\nStep 3 : Add the partial products.<br \/>\n83<br \/>\n<span style=\"text-decoration: underline;\">x 57<br \/>\n<\/span>\u00a0 \u00a0 \u00a0581<span style=\"text-decoration: underline;\"><br \/>\n+4150<br \/>\n4731<br \/>\n<\/span>83 x 57 = 4,731\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 reasonable 4731 is close to 5,000<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15112\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-17.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 17\" width=\"60\" height=\"71\" \/><br \/>\nAnswer:<br \/>\n893 x 44 = 39,292\u00a0 \u00a0 reasonable 39,292 is close to 40,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply 893 by 4 ones.<br \/>\n4 ones x 893 = 3,572 ones<br \/>\n3 1<br \/>\n893<br \/>\n<span style=\"text-decoration: underline;\">x 44<br \/>\n<\/span>3572<br \/>\nStep 2: Multiply 893 by 4 tens or 40, Regroup<br \/>\n4 tens x 893 =3572 tens = 35720 ones<br \/>\n893<br \/>\n<span style=\"text-decoration: underline;\">x 44<br \/>\n<\/span>\u00a0 3572<span style=\"text-decoration: underline;\"><br \/>\n<\/span>35720<br \/>\nStep 3 : Add the partial products.<br \/>\n893<br \/>\n<span style=\"text-decoration: underline;\">x 44<br \/>\n<\/span>\u00a0 \u00a0 \u00a03572<span style=\"text-decoration: underline;\"><br \/>\n+35720<br \/>\n39292<br \/>\n<\/span>893 x 44 = 39,292\u00a0 \u00a0 reasonable 39,292 is close to 40,000<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15113\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-18.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 18\" width=\"74\" height=\"85\" \/><br \/>\nAnswer:<br \/>\n2079 x 82 = 170,478\u00a0 \u00a0reasonable 170,478 is close to 170,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply 2079 by 2 ones.<br \/>\n2 ones x 2079 = 4,158 ones<br \/>\n11<br \/>\n2079<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 82<br \/>\n<\/span>4158<br \/>\nStep 2: Multiply 2079 by 8 tens or 80, Regroup<br \/>\n8 tens x 2079 = 16,632 tens = 16,6320 ones<br \/>\n2079<br \/>\n<span style=\"text-decoration: underline;\">x 82<br \/>\n<\/span>\u00a0 \u00a0 4158<span style=\"text-decoration: underline;\"><br \/>\n<\/span>16,6320<br \/>\nStep 3 : Add the partial products.<br \/>\n2079<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a0 \u00a0 82<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 \u00a04158<span style=\"text-decoration: underline;\"><br \/>\n+16,6320<br \/>\n170478<br \/>\n<\/span>2079 x 82 = 170,478\u00a0 \u00a0reasonable 170,478 is close to 170,000<\/p>\n<p>Question 7.<br \/>\n6,082 \u00d7 25 = ______<br \/>\nAnswer:<br \/>\n6,082 x 25 = 152,050\u00a0 \u00a0 reasonable 152,050 is close to 150,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply\u00a0 by 5 ones.<br \/>\n5 ones x 6082 = 30,410 ones<br \/>\n41<br \/>\n6082<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a025<br \/>\n<\/span>30410<br \/>\nStep 2: Multiply 6082 by 2 tens or 20, Regroup<br \/>\n2 tens x 6082 = 12164 tens = 121640 ones<br \/>\n6082<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 25<br \/>\n<\/span>\u00a0 30410<span style=\"text-decoration: underline;\"><br \/>\n<\/span>12,1640<br \/>\nStep 3 : Add the partial products.<br \/>\n6082<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a0 \u00a0 25<br \/>\n<\/span>\u00a0 \u00a0 \u00a030410<span style=\"text-decoration: underline;\"><br \/>\n+121640<br \/>\n15,2050<br \/>\n<\/span>6,082 x 25 = 152,050\u00a0 \u00a0 reasonable 152,050 is close to 150,000<\/p>\n<p>Question 8.<br \/>\n158 \u00d7 96 = ______<br \/>\nAnswer:<br \/>\n158 x 96 = 15,168\u00a0 \u00a0 \u00a0 \u00a0 \u00a0reasonable 15168 is close to 15,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply 158 by 96 ones.<br \/>\n6 ones x 158 = 948 ones<br \/>\n34<br \/>\n158<br \/>\n<span style=\"text-decoration: underline;\">x 96<br \/>\n<\/span>948<br \/>\nStep 2: Multiply 158 by 9 tens or 90, Regroup<br \/>\n9 tens x 158 =1422 tens = 14220 ones<br \/>\n57<br \/>\n158<br \/>\n<span style=\"text-decoration: underline;\">x 96<br \/>\n<\/span>\u00a0 \u00a0 948<span style=\"text-decoration: underline;\"><br \/>\n<\/span>14220<br \/>\nStep 3 : Add the partial products.<br \/>\n158<br \/>\n<span style=\"text-decoration: underline;\">x 96<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 948<span style=\"text-decoration: underline;\"><br \/>\n+14220<br \/>\n15,168<br \/>\n<\/span>158 x 96 = 15,168\u00a0 \u00a0 \u00a0 \u00a0 \u00a0reasonable 15168 is close to 15,000<\/p>\n<p>Question 9.<br \/>\n98 \u00d7 74 = ______<br \/>\nAnswer:<br \/>\n98 x 74 = 7252\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0reasonable 7252 is close to 7000<br \/>\nExplanation:<br \/>\nStep 1: Multiply 98 by 4 ones.<br \/>\n4 ones x 98 = 392 ones<br \/>\n3<br \/>\n98<br \/>\n<span style=\"text-decoration: underline;\">x74<br \/>\n<\/span><u>392<\/u><br \/>\nStep 2: Multiply 98 by 7 tens or 70, Regroup<br \/>\n7 tens x 98\u00a0 = 686 tens = 6860 ones<br \/>\n98<br \/>\n<span style=\"text-decoration: underline;\">x74<\/span><br \/>\n392<span style=\"text-decoration: underline;\"><br \/>\n<\/span>6860<br \/>\nStep 3 : Add the partial products.<br \/>\n98<br \/>\n<span style=\"text-decoration: underline;\">x 74<br \/>\n<\/span>\u00a0 \u00a0 \u00a0392<span style=\"text-decoration: underline;\"><br \/>\n+6860<br \/>\n7252<br \/>\n<\/span>98 x 74 = 7252\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 7252 is close to 7000<span style=\"text-decoration: underline;\"><br \/>\n<\/span><\/p>\n<p>Question 10.<br \/>\n<strong>Writing<\/strong><br \/>\nWhy is one partial product always greater than the other partial product when multiplying by a two-digit number?<br \/>\nAnswer:<br \/>\nThe first partial product cannot have a multiplicand greater than 9.<br \/>\nThe second partial product cannot have a multiplicand less than 10.<br \/>\nSo one partial product is always greater than the other partial product when multiplying by a two-digit number<br \/>\nExplanation:<br \/>\nLets multiply 315 with 26 a two digit number(26)<br \/>\nThe multiplicand 26 can be decomposed to (20 + 6). The first partial product is the product of 315 x 6= 1890. The second partial product is the product of 315 x 20 = 6300.<br \/>\nHere the first partial product cannot have a multiplicand greater than 9\u00a0 which is 6 and the second partial product cannot have a multiplicand less than 10 which is 20,therefore\u00a0 one partial product always greater than the other partial product when multiplying by a two-digit number.<\/p>\n<p>Question 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nUse the numbers 2, 4, 6, and 8 once to form the greatest product.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15114\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-19.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 19\" width=\"117\" height=\"84\" \/><br \/>\nAnswer:<br \/>\nThe greatest product is 806 x 42 = 33,852<br \/>\nExplanation:<br \/>\nGiven numbers are 2,4,6,8 , first greatest number among given numbers are\u00a0 8 and next is 6 then 4 and then 2 we have the pattern\u00a0 given as 3 digit number multiplied by\u00a0 2 digit number, so first 3 great digits numbers are 8,6,0 in these the biggest is 8 then 6 but the middle digit is already given as 0 so the first three digits are 806,<br \/>\nNow the left two digits are 2,4 now to make the greatest 2 digit number we take from the combination of 2 and 4 ,in these the greatest number is 4 first then 2 making it as 42 as second greatest two digit number,<br \/>\ntherefore the product is 806 X 42 =33,852 making it as the greatest product.<br \/>\n806<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a0 42<br \/>\n33,852<\/span><\/p>\n<p>Question 12.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA store sells 79 virtual reality headsets. How much money does the store collect?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15115\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.4-20.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 4 Multiply Whole Numbers 4.4 20\" width=\"261\" height=\"110\" \/><br \/>\nAnswer:<br \/>\n$125 X 79 = $9,875<br \/>\nExplanation:<br \/>\nGiven that the virtual reality headset cost as $ 79 and the store sells 79 virtual reality headsets, Total money collected by the store is $125 x 79=$9,875<br \/>\n125<br \/>\n<span style=\"text-decoration: underline;\">x 79<br \/>\n9,875<\/span><\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYour friend needs a trumpet for 12 months. She can rent a trumpet for $42 each month and pay a yearly fee of $25, or she can buy a trumpet for $550. Should she buy or rent the trumpet? Explain.<br \/>\nAnswer:<br \/>\nFriend should take the trumpet for rent because it is costing less than buying it.<br \/>\nRent for 12 months is $529<br \/>\nBuying costs to $550.<br \/>\nExplanation:<br \/>\nFriend needs a trumpet for 12 months and rent of trumpet is $42 for each month, so for 12 months it costs as $42 x 12=\u00a0 $504 and also has to pay\u00a0 a yearly fee of $25 means total cost for entire 12 months is $504+$25= $529.<br \/>\nGiven that if she buys its cost to $550, now comparing between rent and buy as $529&lt;$550 ,as rent is less than buying she has to take it for rent so that she can save $21<br \/>\n<strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Use a place value chart to answer the question.<\/strong><br \/>\nQuestion 14.<br \/>\n4,000 is 10 times as great as what number?<br \/>\nAnswer:<br \/>\n4,000 is 10 times as great as 400<br \/>\nExplanation:<br \/>\nLets us take the number as X,<br \/>\nGiven 4,000 is 10 times as great as X means X\u00a0 x 10= 4,000<br \/>\nthe value of X equals to 4000 x 1\/10= 4000\/10=400<br \/>\nX=400 therefore 4,000 is 10 times as great as 400<\/p>\n<p>Question 15.<br \/>\n50 is \\(\\frac{1}{10}\\) of what number?<br \/>\nAnswer:<br \/>\n50 is \\(\\frac{1}{10}\\) of 500<br \/>\nExplanation:<br \/>\nLet the number be X and given 50 = 1\/10 x X, so X = 50 x 10 = 500<\/p>\n<h3><a id=\"Lesson_4.5_Multiply_by_Multi-Digit_Whole_Numbers\"><\/a>Lesson 4.5 Multiply by Multi-Digit Whole Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use any strategy to find each product.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15116\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-1.1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 1.1\" width=\"466\" height=\"80\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-1.1.png 466w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-1.1-300x52.png 300w\" sizes=\"(max-width: 466px) 100vw, 466px\" \/><br \/>\nAnswer:<br \/>\n425 x 2 = 850\u00a0 , 425 x 12 =5,100\u00a0 , 425 x 112 = 47,600<br \/>\nExplanation:<br \/>\n1) 425 x 2 =850, multiply 425 by 2 ones or 2<br \/>\n1<br \/>\n425<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 2<br \/>\n850<br \/>\n<\/span>2) 425 x 12 = 51,00<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 425 by 2 ones or 2<br \/>\n1<br \/>\n425<br \/>\n<span style=\"text-decoration: underline;\">x 12<br \/>\n<\/span>850<br \/>\nStep 2 : Multiply 425 by 1 tens or 10.<br \/>\n425<br \/>\n<span style=\"text-decoration: underline;\">x 12<br \/>\n<\/span>\u00a0 850<br \/>\n4250<br \/>\nStep 3: Add the partial products.<br \/>\n425<br \/>\n<span style=\"text-decoration: underline;\">x 12<br \/>\n<\/span>\u00a0 \u00a0 850<br \/>\n<span style=\"text-decoration: underline;\">+4250<br \/>\n<\/span>\u00a0 <span style=\"text-decoration: underline;\">5100<\/span><br \/>\n3) 425 x 112 = 47,600<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 425 by 2 ones or 2<br \/>\n1<br \/>\n425<br \/>\n<span style=\"text-decoration: underline;\">x112<br \/>\n<\/span>850<br \/>\nStep 2 :Multiply 425 by 1 tens or 10.<br \/>\n425<br \/>\n<span style=\"text-decoration: underline;\">x 112<br \/>\n<\/span>\u00a0 850<br \/>\n4250<br \/>\nStep 3 : Multiply 425 by 1 hundred or 100. Regroup<br \/>\n425<br \/>\n<span style=\"text-decoration: underline;\">x 112<br \/>\n<\/span>\u00a0 \u00a0 850<br \/>\n4250<br \/>\n42500<br \/>\nStep 4: Add the partial products.<br \/>\n425<br \/>\n<span style=\"text-decoration: underline;\">x 112<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 \u00a0 850<br \/>\n4250<br \/>\n<span style=\"text-decoration: underline;\">+ 42500<br \/>\n47,600\u00a0<\/span><\/p>\n<p><strong>Structure<\/strong><br \/>\nHow can you use the first product to find the second product? How can you use the second product to find the third product?<br \/>\nAnswer:<br \/>\nYes we can use the first product to find the second product and use the second product to find the third product.<br \/>\nExplanation:<br \/>\nFor example let the numbers be 324 x 125 = 40,500<br \/>\nFirst product result will be product of 324 is first multiplied by last digit 5 at ones place as 324 x 5=1620<br \/>\nSecond product result will be the first product results in addition to multiple of 324 with the second digit which is at tens place as 324 x 20 and add to first product results, so here we have used the first product result to find the second product results<br \/>\n324<br \/>\n<span style=\"text-decoration: underline;\">x25<br \/>\n<\/span>1620<br \/>\n<span style=\"text-decoration: underline;\">6480<br \/>\n8100<br \/>\n<\/span>Third product result will be the second product results and we add it to the multiple of product of third digit which is at hundreds place as \u00a0324 x 100 and add to second product results, so here we have used the second product result to find the third product results<br \/>\n324<br \/>\n<span style=\"text-decoration: underline;\">x125<br \/>\n<\/span>\u00a0 8100<br \/>\n<span style=\"text-decoration: underline;\">32400<br \/>\n40,500<\/span><\/p>\n<p><strong>Think and Grow: Multiply Multi-Digit Whole Numbers<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 2,043 \u00d7 132. Estimate __2,69,676_____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15117\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 1\" width=\"615\" height=\"429\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-1.png 615w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-1-300x209.png 300w\" sizes=\"(max-width: 615px) 100vw, 615px\" \/><\/p>\n<p>2,043 x 132 = 2,69,676\u00a0 \u00a0 reasonable 2,69,676 is close to 2,70,000<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15118\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-2.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 2\" width=\"65\" height=\"73\" \/><br \/>\nAnswer:<br \/>\n318 x 523 =166,314\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 reasonable 1,66,314 is close to 1,70,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 318 by 3 ones or 3<br \/>\n2<br \/>\n318<br \/>\n<span style=\"text-decoration: underline;\">x 523<br \/>\n<\/span>\u00a0 954<br \/>\nStep 2 :Multiply 318 by 2 tens or 20.<br \/>\n1<br \/>\n318<br \/>\n<span style=\"text-decoration: underline;\">x 523<br \/>\n<\/span>\u00a0 954<br \/>\n6360<br \/>\nStep 3 : Multiply 318 by 5 hundred or 500. Regroup<br \/>\n318<br \/>\n<span style=\"text-decoration: underline;\">x 523<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 954<br \/>\n6360<br \/>\n159000<br \/>\nStep 4: Add the partial products.<br \/>\n318<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a0 \u00a0523<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 \u00a0 954<br \/>\n6360<br \/>\n<span style=\"text-decoration: underline;\">+159000<br \/>\n166314<br \/>\n<\/span>So 318 x 523 =166,314\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 reasonable 1,66,314 is close to 1,70,000<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15119\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-3.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 3\" width=\"85\" height=\"80\" \/><br \/>\nAnswer:<br \/>\n7291 x 308 = 2,245,628\u00a0 reasonable 2,245,628 is close to 2,300,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 7291 by 8 ones or 8<br \/>\n27<br \/>\n7291<br \/>\n<span style=\"text-decoration: underline;\">x 308<br \/>\n<\/span>58328<br \/>\nStep 2 :Multiply 7219 by 0 tens .<br \/>\n7291<br \/>\n<span style=\"text-decoration: underline;\">x 308<br \/>\n<\/span>58328<br \/>\n00000<br \/>\nStep 3 : Multiply 7219 by 3 hundred or 300. Regroup<br \/>\n2<br \/>\n7291<br \/>\n<span style=\"text-decoration: underline;\">x 308<br \/>\n<\/span>\u00a0 \u00a058328<br \/>\n00000<br \/>\n2187300<br \/>\nStep 4: Add the partial products.<br \/>\n7291<br \/>\n<span style=\"text-decoration: underline;\">x 308__<br \/>\n<\/span>\u00a0 \u00a0 \u00a058328<br \/>\n00000<br \/>\n<span style=\"text-decoration: underline;\">+2187300<br \/>\n2245628<br \/>\n<\/span>7291 x 308 = 2,245,628\u00a0 \u00a0 \u00a0Reasonable 2,245,628 is close to 2,300,000<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15120\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-4.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 4\" width=\"60\" height=\"62\" \/><br \/>\nAnswer:<br \/>\n521 x 317 = 1,65,157\u00a0 \u00a0 Reasonable 165,157\u00a0 is close to 1,700,00<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 521 by 7 ones or 7<br \/>\n1<br \/>\n521<br \/>\n<span style=\"text-decoration: underline;\">x 317<br \/>\n<\/span>3647<br \/>\nStep 2 :Multiply 521 by 1 tens or 10 .<br \/>\n521<br \/>\n<span style=\"text-decoration: underline;\">x 317<br \/>\n<\/span>3647<br \/>\n5210<br \/>\nStep 3 : Multiply\u00a0 521 by 3 hundred or 300. Regroup<br \/>\n521<br \/>\n<span style=\"text-decoration: underline;\">x 317<br \/>\n<\/span>\u00a0 \u00a0 3647<br \/>\n5210<br \/>\n156300<br \/>\nStep 4: Add the partial products.<br \/>\n<span style=\"text-decoration: underline;\"> \u00a0521<br \/>\nx 317<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 \u00a03647<br \/>\n5210<span style=\"text-decoration: underline;\"><br \/>\n+156300<br \/>\n165157<br \/>\n<\/span>521 x 317 = 1,65,157\u00a0 \u00a0 Reasonable 165,157\u00a0 is close to 1,700,00<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15121\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-5.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 5\" width=\"58\" height=\"69\" \/><br \/>\nAnswer:<br \/>\n631 x 574 = 3,62,194\u00a0 Reasonable 3,62,194 is close to 3,60,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 631 by 4 ones or 4<br \/>\n631<br \/>\n<span style=\"text-decoration: underline;\">x 574<br \/>\n<\/span>2524<br \/>\nStep 2 :Multiply 631 by 7 tens or 70 .<br \/>\n631<br \/>\n<span style=\"text-decoration: underline;\">x 574<br \/>\n<\/span>\u00a02524<br \/>\n44170<br \/>\nStep 3 : Multiply 631 by 5 hundred or 500. Regroup<br \/>\n631<br \/>\n<span style=\"text-decoration: underline;\">x 574<br \/>\n<\/span>\u00a0 \u00a0 2524<br \/>\n44170<br \/>\n315500<br \/>\nStep 4: Add the partial products.<br \/>\n631<span style=\"text-decoration: underline;\"><br \/>\nx 574<br \/>\n<\/span>\u00a0 \u00a0 \u00a02524<br \/>\n44170<span style=\"text-decoration: underline;\"><br \/>\n+315500<br \/>\n362194<\/span>\u00a0 \u00a0 \u00a0 \u00a0\u00a0<span style=\"text-decoration: underline;\"><br \/>\n<\/span>631 x 574 = 3,62,194\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 3,62,194 is close to 3,60,000\u00a0\u00a0<span style=\"text-decoration: underline;\"><br \/>\n<\/span><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15122\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-6.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 6\" width=\"86\" height=\"74\" \/><br \/>\nAnswer:<br \/>\n2496 x 358 =8,93,568\u00a0 \u00a0 \u00a0 \u00a0Reasonable 8,93,568 is close to 9,00,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 2496 by 8 ones or 8<br \/>\n374<br \/>\n2496<br \/>\n<span style=\"text-decoration: underline;\">x 358<br \/>\n<\/span>19,968<br \/>\nStep 2 :Multiply 2496 by 5 tens or 50 .<br \/>\n243<br \/>\n2496<br \/>\n<span style=\"text-decoration: underline;\">x 358<br \/>\n<\/span>\u00a019968<br \/>\n124800<br \/>\nStep 3 : Multiply 2496 by 3 hundred or 300. Regroup<br \/>\n2496<br \/>\n<span style=\"text-decoration: underline;\">x 358<br \/>\n<\/span>\u00a019968<br \/>\n124800<br \/>\n748800<br \/>\nStep 4: Add the partial products.<br \/>\n2496<br \/>\n<span style=\"text-decoration: underline;\">x 358<br \/>\n<\/span>\u00a0 19968<br \/>\n124800<br \/>\n<span style=\"text-decoration: underline;\">748800<\/span>\u00a0 \u00a0<span style=\"text-decoration: underline;\"><br \/>\n893568<br \/>\n<\/span>2496 x 358 =8,93,568\u00a0 \u00a0 \u00a0 Reasonable 8,93,568 is close to 9,00,000<br \/>\nQuestion 6.<br \/>\n155 \u00d7 956 = ______<br \/>\nAnswer:<br \/>\n155 x 956 = 1,48,180\u00a0 \u00a0 \u00a0 Reasonable 1,48,180 is close to 1,50,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 155 by 6 ones or 6<br \/>\n33<br \/>\n155<br \/>\n<span style=\"text-decoration: underline;\">x 956<br \/>\n<\/span>\u00a0 930<br \/>\nStep 2 :Multiply 155 by 5 tens or 50 .<br \/>\n22<br \/>\n155<br \/>\n<span style=\"text-decoration: underline;\">x 956<br \/>\n<\/span>\u00a0 930<br \/>\n7750<br \/>\nStep 3 : Multiply 155 by 9 hundred or 900. Regroup<br \/>\n155<br \/>\n<span style=\"text-decoration: underline;\">x 956<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 930<br \/>\n7750<br \/>\n139500<br \/>\nStep 4: Add the partial products.<br \/>\n155<br \/>\n<span style=\"text-decoration: underline;\">x 956<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 930<br \/>\n7750<br \/>\n<span style=\"text-decoration: underline;\">139500<br \/>\n148180<br \/>\n<\/span>155 x 956 = 1,48,180\u00a0 \u00a0 \u00a0 Reasonable 1,48,180 is close to 1,50,000<\/p>\n<p>Question 7.<br \/>\n748 \u00d7 239 = ______<br \/>\nAnswer:<br \/>\n748 x 239 = 1,78,772\u00a0 \u00a0 \u00a0Reasonable\u00a0 1,78,772 is close to or 1,80,000 or\u00a0 2,00,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 748 by 9 ones or 9<br \/>\n47<br \/>\n748<br \/>\n<span style=\"text-decoration: underline;\">x239<br \/>\n<\/span>\u00a06732<br \/>\nStep 2 :Multiply 748 by 3 tens or 30 .<br \/>\n12<br \/>\n748<br \/>\n<span style=\"text-decoration: underline;\">x 239<br \/>\n<\/span>\u00a0 6732<br \/>\n22440<br \/>\nStep 3 : Multiply 748 by 2 hundred or 200. Regroup<br \/>\n1<br \/>\n748<br \/>\n<span style=\"text-decoration: underline;\">x 239<br \/>\n<\/span>\u00a0 \u00a06732<br \/>\n22440<br \/>\n149600<br \/>\nStep 4: Add the partial products.<br \/>\n748<br \/>\n<span style=\"text-decoration: underline;\">x 239___<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 \u00a06732<br \/>\n22440<br \/>\n<span style=\"text-decoration: underline;\">+149600<br \/>\n178772<br \/>\n<\/span>748 x 239 = 1,78,772\u00a0 \u00a0 \u00a0Reasonable\u00a0 1,78,772 is close to or 1,80,000 or\u00a0 2,00,000<\/p>\n<p>Question 8.<br \/>\n1,907 \u00d7 218 = ______<br \/>\nAnswer:<br \/>\n1907 x 218 = 415,726\u00a0 Reasonable 4,15,726 is close to 4,20,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 1907 by 8 ones or 8<br \/>\n7 5<br \/>\n1907<br \/>\n<span style=\"text-decoration: underline;\">x 218<br \/>\n<\/span>15256<br \/>\nStep 2 :Multiply 1907 by 1 tens or 10 .<br \/>\n1907<br \/>\n<span style=\"text-decoration: underline;\">x 218<br \/>\n<\/span>\u00a015256<br \/>\n19070<br \/>\nStep 3 : Multiply\u00a0 1907 by 2 hundred or 200. Regroup<br \/>\n1\u00a0 1<br \/>\n1907<br \/>\n<span style=\"text-decoration: underline;\">x 218<br \/>\n<\/span>\u00a0 15256<br \/>\n19070<br \/>\n381400<span style=\"text-decoration: underline;\"><br \/>\n<\/span>Step 4 :Add the partial products.<br \/>\n1907<br \/>\n<span style=\"text-decoration: underline;\">x 218<br \/>\n<\/span>\u00a0 \u00a0 \u00a015256<br \/>\n19070<br \/>\n<span style=\"text-decoration: underline;\">+381400<br \/>\n<\/span><span style=\"text-decoration: underline;\">415726<br \/>\n<\/span>1907 x 218 = 415,726\u00a0 Reasonable 4,15,726 is close to 4,20,000<\/p>\n<p>Question 9.<br \/>\nThe delta of the Nile River is about 150 miles wide. How many feet wide is the delta?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15123\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-7.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 7\" width=\"375\" height=\"188\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-7.png 375w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-7-300x150.png 300w\" sizes=\"(max-width: 375px) 100vw, 375px\" \/><br \/>\nAnswer:<br \/>\n5280 x 150 = 7,92,000 feet<br \/>\nExplanation:<br \/>\nGiven the delta of the Nile River is about 150 miles wide and 1 mile is equal to 5,280 feet so total feet of Nile River is product of 5280 and 150 , 5280 x 150 = 7,92,000 feet<\/p>\n<p>Question 10.<br \/>\n<strong>Reasoning<\/strong><br \/>\nWhen you multiply a three-digit number by a four-digit number, what is the greatest number of digits the product can have? Explain.<br \/>\nAnswer:<br \/>\n999 x 9999 = 9,989,001 the product will have 7 greatest number of digits.<br \/>\nExplanation:<br \/>\nWe know 9 is the greatest digit, so the greatest three-digit number is 999 and the greatest four-digit number is 9999 when 999 x 9999 we get the results as 999 x 9999 = 9,989,001 which consists of total 7 digits in it, therefore when we multiply a three-digit number by a four-digit number, we get 7 greatest number of digits in the results.<\/p>\n<p>Question 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nFind the missing digit so that both products are the same.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15124\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-8.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 8\" width=\"197\" height=\"82\" \/><br \/>\nAnswer:<br \/>\nThe missing digit is 0, as 850 x 150= 1,27,500 and 375 x 340 = 1,27,500 are same<br \/>\nExplanation:<br \/>\nTo find the missing digit first we multiply 850 X 150 we get 1,27,500 and\u00a0 it is mentioned that the products are same means<br \/>\n850 x 150= 1,27,500 = 375 x 34___. So to find the missing digit from 34___, we divide 1,27,500 by 375 and the result is 340. So obviously the missing\u00a0 digit is 0.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nThe employees at a baseball bat factory need to make 350,000 bats in 6 months. They make 2,750 bats each day and work 127 days in the 6 months. Do the employees make enough bats?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15125\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-9.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 9\" width=\"146\" height=\"214\" \/><br \/>\nMultiply the number of bats produced each day by the number of days.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15126\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-10.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 10\" width=\"91\" height=\"75\" \/><\/p>\n<p>Compare the number of bats produced to the number of bats needed.<br \/>\n2750 x 127 = 3,49,250 bats as 3,49,250 &lt; 3,50,000<br \/>\nThe employees<span style=\"text-decoration: underline;\"> does not_<\/span>__ make enough bats.<br \/>\nExplanation:<br \/>\nEach day the employees make 2750 bats and has worked 127 days in 6 months , so in 6 months the employees have made<br \/>\n2750 x 127 =3,49,250 bats, given that the employees at a baseball bat factory need to make 350,000 bats in 6 months, now comparing\u00a0 we are getting difference as the employees made to the required number of bats.<br \/>\nWe are getting employees made is less when compared to the needed number of bats as 3,49,250 &lt; 3,50,000. Both are not matching so employees have not made enough bats.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 12.<br \/>\nThe drivers at a warehouse need to deliver 40,000 packages each day. The warehouse has 128 trucks. Each truck has 350 packages. The drivers deliver all of the packages on the trucks. Do the warehouse drivers deliver enough packages?<br \/>\nAnswer:<br \/>\n350 x 128= 44,800 and required is 40,000 as compared it is less,<br \/>\nYes, the warehouse drivers can deliver enough packages each day.<br \/>\nExplanation:<br \/>\nEach truck has 350 packages and the ware house has 128 trucks, so the total number of packages in a day are 350 x 128 = 44,800 packages. Now comparing the drivers need only 40,000 packages each day as\u00a0 44,800 is greater than 40,000, 44,800&gt;40,000.Easily the drivers can deliver the packages each day.<\/p>\n<p>Question 13.<br \/>\nA school buys 5 tablets and 5 laptops. Each tablet costs $379. Each laptop costs $449. How much more does the school pay for laptops than it pays for tablets?<br \/>\nAnswer:<br \/>\nTablets costs = $379 x 5=\u00a0 $1,895<br \/>\nLaptop costs = $449 x 5 = $2,245, Laptop to Tablets = $ 2,245-$1,895=$350, School pays $350 more.<br \/>\nExplanation:<br \/>\nSchool buys 5 tablets and 5 laptops and each tablet costs $379 and laptop costs $449,the total amount for tablets costs = $379 x 5=\u00a0 $1,895 and for laptop costs = $449 x 5 = $2,245,Now comparing the costs of laptops to tablets $2,245 to $1895 we are getting a difference of\u00a0 $350 among them. So the school pays $379<br \/>\nQuestion 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA koala sleeps 18 hours each day. How many minutes does the koala sleep in 1 year?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15127\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-11.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 11\" width=\"165\" height=\"144\" \/><br \/>\nAnswer:<br \/>\nThe koala sleeps 3,94,200 minutes in 1 year.<br \/>\nExplanation:<br \/>\nWe know that in 1 hour equals to 60 minutes and in 1 year we have total 365 days a koala sleep 18 hours each day means<br \/>\n<span style=\"font-size: 16px;\">18 x 60 =1,080 minutes in each day, so in 1 year koala sleeps 1080 minutes x 365= 3,94,200 minutes in 1 year.<\/span><\/p>\n<h3><a id=\"Multiply_by_Multi-Digit_Whole_Numbers_Homework_&amp;_Practice_4.5\"><\/a>Multiply by Multi-Digit Whole Numbers Homework &amp; Practice 4.5<\/h3>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15128\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-12.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 12\" width=\"63\" height=\"70\" \/><br \/>\nAnswer:<br \/>\n102 x 104 =10,608\u00a0 \u00a0 \u00a0Reasonable 10,608\u00a0 is close to 10,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 102 by 4 ones or 4<br \/>\n102<br \/>\n<span style=\"text-decoration: underline;\">x 104<br \/>\n<\/span>\u00a0 408<br \/>\nStep 2 : Multiply 102 by 0 tens .<br \/>\n102<br \/>\n<span style=\"text-decoration: underline;\">x 104<br \/>\n<\/span>408<br \/>\n000<br \/>\nStep 3 : Multiply 102 by 1 hundred or 100. Regroup<br \/>\n102<br \/>\n<span style=\"text-decoration: underline;\">x 104<br \/>\n<\/span>\u00a0 \u00a0408<br \/>\n000<br \/>\n10200<br \/>\nStep 4 : Add the partial products.<br \/>\n102<br \/>\n<span style=\"text-decoration: underline;\">x 104<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 \u00a0408<br \/>\n000<br \/>\n<span style=\"text-decoration: underline;\">+ 10200<br \/>\n10608<br \/>\n<\/span>102 x 104 =10,608\u00a0 \u00a0 \u00a0Reasonable 10,608 is close to 10,000<span style=\"text-decoration: underline;\"><br \/>\n<\/span><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15129\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-13.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 13\" width=\"66\" height=\"77\" \/><br \/>\nAnswer:<br \/>\n185 x 123 = 22,755\u00a0 Reasonable 22,755 is close to 20,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 18 by 3 ones or 3<br \/>\n21<br \/>\n185<br \/>\n<span style=\"text-decoration: underline;\">x 123<br \/>\n<\/span>\u00a0 555<br \/>\nStep 2 : Multiply 185 by 2 tens or 20<br \/>\n11<br \/>\n185<br \/>\n<span style=\"text-decoration: underline;\">x 123<br \/>\n<\/span>\u00a0 555<br \/>\n3700<br \/>\nStep 3 : Multiply 185 by 1 hundred or 100. Regroup<br \/>\n185<br \/>\n<span style=\"text-decoration: underline;\">x 123<br \/>\n<\/span>\u00a0 555<br \/>\n3700<br \/>\n18500<br \/>\nStep 4 : Add the partial products.<br \/>\n185<br \/>\n<span style=\"text-decoration: underline;\">x 123<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 \u00a0555<br \/>\n3700<br \/>\n<span style=\"text-decoration: underline;\">+ 18500<br \/>\n22755<\/span><br \/>\n185 x 123 = 22,755\u00a0 Reasonable 22,755 is close to 20,000<br \/>\nQuestion 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15130\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-14.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 14\" width=\"82\" height=\"73\" \/><br \/>\nAnswer:<br \/>\n3410 x 251 = 855,910\u00a0 \u00a0 Reasonable 855,910 is close to 8,60,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 3410 by 1 ones or 1<br \/>\n3410<br \/>\n<span style=\"text-decoration: underline;\">x 251<br \/>\n<\/span>3410<br \/>\nStep 2 : Multiply 3410 by 5 tens or 50<br \/>\n2<br \/>\n3410<br \/>\n<span style=\"text-decoration: underline;\">x 251<br \/>\n<\/span>\u00a0 \u00a0 3410<br \/>\n170500<br \/>\nStep 3 : Multiply 3410 by 2 hundred or 200. Regroup<br \/>\n3410<br \/>\n<span style=\"text-decoration: underline;\">x 251<br \/>\n<\/span>\u00a0 \u00a0 3410<br \/>\n170500<br \/>\n682000<br \/>\nStep 4 : Add the partial products.<br \/>\n3410<br \/>\n<span style=\"text-decoration: underline;\">x 251<\/span><br \/>\n3410<br \/>\n170500<br \/>\n<span style=\"text-decoration: underline;\">+682000<br \/>\n855910<br \/>\n<\/span>3410 x 251 = 855,910\u00a0 \u00a0 Reasonable 855,910 is close to 8,60,000<\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15131\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-15.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 15\" width=\"67\" height=\"73\" \/><br \/>\nAnswer:<br \/>\n954 x 176 = 1,67,904\u00a0 \u00a0 \u00a0 Reasonable 1,67,904 is close to 1,68,000 or 1,70,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 954 by 6 ones or 6<br \/>\n32<br \/>\n954<br \/>\n<span style=\"text-decoration: underline;\">x 176<br \/>\n<\/span>5724<br \/>\nStep 2 : Multiply 954 by 7 tens or 70<br \/>\n32<br \/>\n954<br \/>\n<span style=\"text-decoration: underline;\">x 176<br \/>\n<\/span>\u00a0 \u00a05724<br \/>\n66780<br \/>\nStep 3 : Multiply 954 by 1 hundred or 100. Regroup<br \/>\n954<br \/>\n<span style=\"text-decoration: underline;\">x 176<br \/>\n<\/span>\u00a0 \u00a05724<br \/>\n66780<br \/>\n95400<br \/>\nStep 4 : Add the partial products.<br \/>\n954<br \/>\n<span style=\"text-decoration: underline;\">x 176<br \/>\n<\/span>\u00a0 \u00a0 5724<br \/>\n66780<br \/>\n<span style=\"text-decoration: underline;\">+95400<br \/>\n167904<\/span><br \/>\n954 x 176 = 1,67,904\u00a0 \u00a0 \u00a0 Reasonable 1,67,904 is close to 1,68,000 or 1,70,000<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15132\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-16.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 16\" width=\"65\" height=\"76\" \/><br \/>\nAnswer:<br \/>\n818 x 524 = 428,632\u00a0 \u00a0 Reasonable 4,28,632 is close to 4,30,000 or 4,00,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 818 by 4 ones or 4<br \/>\n3<br \/>\n818<br \/>\n<span style=\"text-decoration: underline;\">x 524<br \/>\n<\/span>3272<br \/>\nStep 2 : Multiply 818 by 2 tens or 20<br \/>\n1<br \/>\n818<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 524<br \/>\n<\/span>\u00a0 \u00a03272<br \/>\n16360<br \/>\nStep 3 : Multiply 818 by\u00a0 5 hundred or 500. Regroup<br \/>\n4<br \/>\n818<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 524<br \/>\n<\/span>\u00a0 \u00a03272<br \/>\n16360<br \/>\n409000<br \/>\nStep 4 : Add the partial products.<br \/>\n818<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 524<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 \u00a03272<br \/>\n16360<br \/>\n<span style=\"text-decoration: underline;\">+ 409000<\/span><br \/>\n<span style=\"text-decoration: underline;\">428632<\/span><br \/>\n818 x 524 = 428,632\u00a0 \u00a0 Reasonable 4,28,632 is close to 4,30,000 or 4,00,000<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15133\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-4-Multiply-Whole-Numbers-4.5-17.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 4 Multiply Whole Numbers 4.5 17\" width=\"68\" height=\"94\" \/><br \/>\nAnswer:<br \/>\n6301 x 472 =2,974,072\u00a0 \u00a0Reasonable 2,974,072 is close to 3,000,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 6301 by 2 ones or 2<br \/>\n6301<br \/>\n<span style=\"text-decoration: underline;\">x 472<br \/>\n<\/span>12602<br \/>\nStep 2 :\u00a0 Multiply 6301 by 7 tens or 70<br \/>\n2<br \/>\n6301<br \/>\n<span style=\"text-decoration: underline;\">x 472<br \/>\n<\/span>\u00a0 \u00a012602<br \/>\n441070<br \/>\nStep 3 : Multiply 6301 by\u00a0 4 hundred or 400. Regroup<br \/>\n6301<br \/>\n<span style=\"text-decoration: underline;\">x 472<br \/>\n<\/span>\u00a0 \u00a0 \u00a012602<br \/>\n441070<br \/>\n2520400<br \/>\nStep 4 : Add the partial products.<br \/>\n6301<br \/>\n<span style=\"text-decoration: underline;\">x 472<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 12602<br \/>\n441070<br \/>\n<span style=\"text-decoration: underline;\">+2520400<\/span><br \/>\n<span style=\"text-decoration: underline;\">2974072<\/span><br \/>\n6301 x 472 =2,974,072\u00a0 \u00a0Reasonable 2,974,072 is close to 3,000,000<\/p>\n<p>Question 7.<br \/>\n999 \u00d7 186 = ______<br \/>\nAnswer:<br \/>\n999 x 186 = 185,814\u00a0 \u00a0 \u00a0Reasonable 185,814 is close to 2,00,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 999 by 6 ones or 6<br \/>\n55<br \/>\n999<br \/>\n<span style=\"text-decoration: underline;\">x 186<br \/>\n<\/span>5994<br \/>\nStep 2 :\u00a0 Multiply 999 by 8 tens or 80<br \/>\n77<br \/>\n999<br \/>\n<span style=\"text-decoration: underline;\">x 186<br \/>\n<\/span>\u00a0 5994<br \/>\n79920<br \/>\nStep 3 : Multiply 999 by\u00a0 1 hundred or 100. Regroup<br \/>\n999<br \/>\n<span style=\"text-decoration: underline;\">x 186<br \/>\n<\/span>\u00a0 \u00a0 5994<br \/>\n79920<br \/>\n99900<br \/>\nStep 4 : Add the partial products.<br \/>\n999<br \/>\n<span style=\"text-decoration: underline;\">x 186<br \/>\n<\/span>\u00a0 \u00a0 5994<br \/>\n79920<br \/>\n<span style=\"text-decoration: underline;\">+99900<br \/>\n185814<\/span><br \/>\n999 x 186 = 185,814\u00a0 \u00a0 \u00a0Reasonable 185,814 is close to 2,00,000<br \/>\nQuestion 8.<br \/>\n2,445 \u00d7 356 = ______<br \/>\nAnswer:<br \/>\n2445 x 356 = 870420\u00a0 \u00a0 \u00a0Reasonable 870420 is close to 8,70,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 2445 by 6 ones or 6<br \/>\n223<br \/>\n2445<br \/>\n<span style=\"text-decoration: underline;\">x 356<br \/>\n<\/span>14670<br \/>\nStep 2 :\u00a0 Multiply 2445 by 5 tens or 50<br \/>\n222<br \/>\n2445<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 356<br \/>\n<\/span>\u00a0 14670<br \/>\n122250<br \/>\nStep 3 : Multiply 2445 by\u00a0 3 hundred or 300. Regroup<br \/>\n111<br \/>\n2445<br \/>\n<span style=\"text-decoration: underline;\">x 356<br \/>\n<\/span>\u00a0 14670<br \/>\n122250<br \/>\n733500<br \/>\nStep 4 : Add the partial products.<br \/>\n2445<br \/>\n<span style=\"text-decoration: underline;\">x 356<br \/>\n<\/span>\u00a0 \u00a0 \u00a014670<br \/>\n122250<br \/>\n<span style=\"text-decoration: underline;\">+733500<\/span><br \/>\n<span style=\"text-decoration: underline;\">\u00a0 870420<\/span><br \/>\n2445 x 356 = 870420\u00a0 \u00a0 \u00a0Reasonable 870420 is close to 8,70,000<\/p>\n<p>Question 9.<br \/>\n1,564 \u00d7 389 = ______<br \/>\nAnswer:<br \/>\n1564 x 389 = 608396\u00a0 \u00a0 \u00a0Reasonable 6,08,396 is close to 6,00,000<br \/>\nStep 1 : Multiply 1564 by 9 ones or 9<br \/>\n553<br \/>\n1564<br \/>\n<span style=\"text-decoration: underline;\">x 389<br \/>\n<\/span>14076<br \/>\nStep 2 :\u00a0 Multiply 1564 by 8 tens or 80<br \/>\n453<br \/>\n1564<br \/>\n<span style=\"text-decoration: underline;\">x 389<br \/>\n<\/span>\u00a0 14076<br \/>\n125120<br \/>\nStep 3 : Multiply 1564 by\u00a0 3 hundred or 300. Regroup<br \/>\n111<br \/>\n1564<br \/>\n<span style=\"text-decoration: underline;\">x 389<br \/>\n<\/span>\u00a0 14076<br \/>\n125120<br \/>\n469200<br \/>\nStep 4 : Add the partial products.<br \/>\n1564<br \/>\n<span style=\"text-decoration: underline;\">x 389<br \/>\n<\/span>\u00a0 \u00a0 14076<br \/>\n125120<br \/>\n<span style=\"text-decoration: underline;\">+469200<br \/>\n608396\u00a0<\/span><br \/>\n1564 x 389 = 608396\u00a0 \u00a0 \u00a0Reasonable 6,08,396 is close to 6,00,000<\/p>\n<p>Question 10.<br \/>\n<strong>Reasoning<\/strong><br \/>\nYour friend says the product of 4,164 and 137 is 70,460. How will finding an estimate help your friend realize the answer is not reasonable?<br \/>\nAnswer:<br \/>\n4164 X 137 = 570,468, 5,70,468 is not equal to 70,460.<br \/>\nExplanation:<br \/>\nFriend says product of 4,164 and 137 is 70,460 , Now finding the estimate the product of 4,164 x 137 = 5,70,468 but friend says it is 70,460. So after finding friend realize the answer is not reasonable and not even close.<\/p>\n<p>Question 11.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says that when multiplying 300 by 126, she can multiply 3 \u00d7 126 and write two zeros after the product. Is your friend correct? Explain.<br \/>\nAnswer:<br \/>\nYes, Friend is correct<br \/>\nExplanation:<br \/>\nWhen first we multiply 300 x 126 we get the product as 37,800 and when we multiply 3 x 126 we get result as 378 and if we write two zeros after the product it becomes 37800 which is similar to the result of 300 x 126, so friend is correct.<br \/>\nWe can write 300 x 126 as 3 x 10<sup>2 <\/sup>x 126=\u00a0 \u00a0(3 x 126 ) x 10<sup>2 , <\/sup>We know that if any whole number is multiplied by 10 with powers\u00a0 we get the product whole number with the\u00a0 given number of power value additional number of\u00a0 zeros in the right.<br \/>\nas (3 x 126 ) x 10<sup>2\u00a0 \u00a0<\/sup>has 2 as power to 10 we write the result with 2 zeros after the product which is equal to 300 x 126,So friend is correct.<\/p>\n<p>Question 12.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYour friend starts a video channel and wants to have 50,000 subscribers by the end of 1 year. She gets 140 new subscribers each day for 365 days. Does she meet her goal?<br \/>\nAnswer:<br \/>\n140 x 365 = 51,100 as 51,100 &gt; 50,000, Yes friend meets her goal.<br \/>\nExplanation:<br \/>\nAs friend starts a video channel and wants to have 50,000 subscribers by the end of 1 year, and each day friend gets 140 new subscribers for 365 days , So total number of subscribers for 365 days or 1 year is 140 x 365= 51,100.<br \/>\nAs 51,100 is greater than 50,000 means friend can easily meets her goal.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Evaluate the expression.<\/strong><br \/>\nQuestion 13.<br \/>\n(5 + 8) \u00d7 4<br \/>\nAnswer:<br \/>\n(5+8) x 4 = 13 x 4 = 52<br \/>\nExplanation:<br \/>\nExpressions inside parentheses are evaluated first from left to right, i.e (5+8) and then we proceed with multiplication.<br \/>\nSo first we add the values inside the parentheses or values of bracket (5+8) x 4 ,5+8=13 and multiply by 4= 13 x 4 = 52,<br \/>\n(5 + 8) \u00d7 4 = 52<br \/>\nQuestion 14.<br \/>\n16 + (9 \u00f7 3)<br \/>\nAnswer:<br \/>\n16 + (9 \u00f7 3) = 16 + 3 = 19<br \/>\nExplanation:<br \/>\nFirst we take expressions inside parentheses (9 \u00f7 3) and evaluate then we proceed with addition,<br \/>\nWhen\u00a0 9 \u00f7 3 we get\u00a0 3 , Now we go with addition so 16 + 3 = 19.<br \/>\n16 + (9 \u00f7 3) = 19<\/p>\n<p>Question 15.<br \/>\n7 \u00d7 (4 + 6)<br \/>\nAnswer:<br \/>\n7 x (4 +6) = 7 x 10 = 70<br \/>\nExplanation:<br \/>\nFirst we take expressions inside parentheses ( 4 + 6)=10 and proceed with multiplication, 7 x 10 = 70,<br \/>\n7 x (4 +6) = 70<\/p>\n<h3><a id=\"Multiply_Whole_Numbers_Performance_Task\"><\/a>Multiply Whole Numbers Performance Task<\/h3>\n<p>The Grand Coulee Dam is located on the Columbia River in Washington. The dam is used to control \ufb02ood waters, provide irrigation, and generate power.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15134\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers 1\" width=\"228\" height=\"149\" \/><br \/>\nQuestion 1.<br \/>\nThe dam has 12 pumps that each transfer the same amount of water through pipes from Lake Roosevelt to Banks Lake. Together, the pumps can transfer about 12,000 gallons of water each second.<br \/>\na. About how many gallons of water can each pump transfer in 1 second?<br \/>\nb. About how many gallons of water can each pump transfer in 1 hour? Explain.<br \/>\nAnswer:<br \/>\na. 12,000 \u00f7 12 = 1,000 gallons of water can each pump transfer in 1 second.<br \/>\nb. 1000 x 3,600 seconds = 3,600,000 gallons of water can each pump transfer in 1 hour.<br \/>\nExplanation :<br \/>\na. Given a dam has 12 pumps that each transfer the same amount of water through pipes from Lake Roosevelt to Banks Lake, and together, the pumps can transfer about 12,000 gallons of water each second.<br \/>\n12 pumps = 12,000 gallons of water each second, Each pump transfer in 1 second is equal to 12,000 divided by 12= 12,000 \u00f7 12 =<br \/>\n1,000 gallons of water can each pump transfer in 1 second.<br \/>\nb. Now number of gallons of water can each pump transfer in 1 hour, we know in 1 hour we have 60 minutes and 1 minute has 60 seconds so making it as 3,600 seconds in an hour.1 hour equals to 3,600 seconds. If in 1 second each pump can transfer 1000 gallons of water then in hour it will transfer 1000 x 3,600= 3,600,000 gallons of water can each pump transfer in 1 hour.<br \/>\nQuestion 2.<br \/>\nThe dam generates power Capacity of Power at the Grand Coulee Dam using 33 generators located in 4 different powerhouses.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15135\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-2.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers 2\" width=\"418\" height=\"341\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-2.png 418w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-2-300x245.png 300w\" sizes=\"(max-width: 418px) 100vw, 418px\" \/><br \/>\na. What is the total Power for the Grand Coulee Dam?<br \/>\nb. Only about one-third of the capacity of power for each powerhouse is actually generated each year. About how many megawatts does the Third Powerhouse actually generate in 1 year?<br \/>\nc. There are 10<sup>6<\/sup> watts in 1 megawatt. Without calculating, how can you find about how many watts the Third Powerhouse actually generates in 1 year?<br \/>\nAnswer:<br \/>\na. The total Power for the Grand Coulee Dam is 6,701 megawatts.<br \/>\nb. The Third Powerhouse actually generates only 1\/3 in 1 year is 1800 x 1\/3 = 1800\/3=1800 \u00f7 1\/3 = 600 megawatts<br \/>\nc. The number of watts the Third Powerhouse actually generates in 1 year =600 x 10<sup>6<\/sup> watts.<br \/>\nExplanation:<br \/>\na. First we calculate the total capacity of the power house in each power house with the capacity of power from each generator with the number of generators as per the powerhouse, Total Capacity of the power house = capacity of powerhouse from each generator multiply by number of generators\u00a0 separately. Then adding all capacities we get the total Power for the Grand Coulee Dam as shown in the below table, So\u00a0total Power for the Grand Coulee Dam is 6,701 megawatts.<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-20530 size-full\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-4-1.bmp\" alt=\"\" width=\"518\" height=\"378\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-4-1.bmp 518w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-4-1-300x219.jpg 300w\" sizes=\"(max-width: 518px) 100vw, 518px\" \/><br \/>\nb. We have Third Powerhouse has total capacity as 1,800 megawatts as calculated in that only about one-third of the capacity of power for each powerhouse is actually generated each year means total capacity in third powerhouse multiply by 1\/3=\u00a0 1800 x 1\/3 = 1800\/3=1800 \u00f7 1\/3 = 600 megawatts.<br \/>\nThird Powerhouse actually generates 600 megawatts in 1 year.<br \/>\nc. Given 1 mega watt equals to 10<sup>6<\/sup> watts , We have Third Powerhouse generates 600 megawatts in 1 year, so to convert megawatts\u00a0 into watts we multiply it by 10<sup>6<\/sup> watts =600 x 10<sup>6<\/sup> watts, Third Powerhouse actually generates 600 x 10<sup>6<\/sup> watts\u00a0 in 1 year.<\/p>\n<h3><a id=\"Multiply_Whole_Numbers_Activity\"><\/a>Multiply Whole Numbers Activity<\/h3>\n<p><strong>Multiplication Adventure<\/strong><br \/>\n<strong>Directions:<\/strong><br \/>\n1. Players take turns rolling a die. Players solve problems on their boards to race the explorers to their destinations.<br \/>\n2. On your turn, solve the next multiplication problem in the row of your roll.<br \/>\n3. The first player to get an explorer to a destination wins!<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15136\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-3.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers 3\" width=\"693\" height=\"728\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-3.png 693w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-3-286x300.png 286w\" sizes=\"(max-width: 693px) 100vw, 693px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-20543 size-full\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-5-1.bmp\" alt=\"\" width=\"555\" height=\"583\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-5-1.bmp 555w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/4-Multiply-Whole-Numbers-5-1-286x300.jpg 286w\" sizes=\"(max-width: 555px) 100vw, 555px\" \/><\/p>\n<h3><a id=\"Multiply_Whole_Numbers_Chapter_Practice\"><\/a>Multiply Whole Numbers Chapter Practice<\/h3>\n<p><strong>4.1 Multiplication Patterns<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 1.<br \/>\n72 \u00d7 10<sup>3<\/sup> = ______<br \/>\nAnswer:<br \/>\n72 \u00d7 10<sup>3<\/sup> = 72,000<br \/>\nExplanation :<br \/>\n72 \u00d7 10<sup>3<\/sup> =\u00a0 72 x 10 x 10 x 10 =72,000 , we multiply 72 with 10 three times as 10 power is 3.<\/p>\n<p>Question 2.<br \/>\n30 \u00d7 900 = ______<br \/>\nAnswer:<br \/>\n30 \u00d7 900 =27,000<br \/>\nExplanation:<br \/>\nWhen we multiply 30 by 900 we get 27,000 or 30 \u00d7 900 = 3 x 10 x 9 x 10 x 10 = 3 x 9 x 10<sup>3<\/sup>= 27 x 10<sup>3<\/sup>= 27,000<br \/>\nQuestion 3.<br \/>\n40 \u00d7 500 = ______<br \/>\nAnswer:<br \/>\n40 \u00d7 500 = 20,000<br \/>\nExplanation:<br \/>\nWhen we multiply 40 by 500 we get 20,000 or 40 \u00d7 500 = 4 x 10 x 5 x 10 x 10 = 4 x 5 x 10<sup>3<\/sup>= 20\u00a0x 10<sup>3<\/sup>=20,000<\/p>\n<p>Question 4.<br \/>\n60 \u00d7 800 = ______<br \/>\nAnswer:<br \/>\n60 x 800 = 48,000<br \/>\nExplanation:<br \/>\nWhen we multiply 60 by 800 we get 48,000 or 60 \u00d7 800 = 6 x 10 x 8 x 10 x 10 = 6 x 8 x 10<sup>3<\/sup>= 48 x 10<sup>3<\/sup>=48,000<\/p>\n<p>Question 5.<br \/>\n20 \u00d7 90 = ______<br \/>\nAnswer:<br \/>\n20 x 90 = 1800<br \/>\nExplanation:<br \/>\nWhen we multiply 20 by 90 we get 1800 or 20 \u00d7 90 = 2 x 10 x 9 x 10 = 2 x 9 x 10<sup>2<\/sup>= 18 x 10<sup>2<\/sup>=1800<\/p>\n<p>Question 6.<br \/>\n10<sup>2<\/sup> \u00d7 41 = _____<br \/>\nAnswer:<br \/>\n10<sup>2<\/sup> \u00d7 41 =4100<br \/>\nExplanation:<br \/>\nWhen we multiply\u00a0 10<sup>2<\/sup> \u00d7 41 =10 x 10 x 41 = 100 x 41 = 41,00<\/p>\n<p><strong>Find the missing factor.<\/strong><br \/>\nQuestion 7.<br \/>\n_____ \u00d7 10<sup>3<\/sup> = 26,000<br \/>\nAnswer:<br \/>\nThe missing factor is 26<br \/>\nExplanation:<br \/>\nTo get the missing factor, let us take it as X ,So\u00a0 X x 10<sup>3<\/sup> = 26,000, therefore X = 26,000 \/ 10<sup>3<\/sup> =26,000\/1000=26<\/p>\n<p>Question 8.<br \/>\n600 \u00d7 ____ = 24,000<br \/>\nAnswer:<br \/>\nThe missing factor is 40<\/p>\n<p>Explanation:<br \/>\nTo get the missing factor, let us take it as X , So 600 x X = 24,000, therefore X = 24,000\/600 = 40<\/p>\n<p>Question 9.<br \/>\n5,000 \u00d7 _____ = 250,000<br \/>\nAnswer:<br \/>\nThe missing factor is 50<\/p>\n<p>Explanation:<br \/>\nTo get the missing factor, let us take it as X , So 5,000 x X = 250,000, therefore X = 250,000\/5000 = 50<\/p>\n<p>Question 10.<br \/>\n<strong>Logic<\/strong><br \/>\nThe product of a number and twice that number is 320,000. Write the multiplication equation.<br \/>\nAnswer:<br \/>\nLet the number be X the multiplication equation is X x 2X =320,000<br \/>\nExplanation:<br \/>\nLet us take the number as X given the product of a number and twice that number equals to 320,000 so the equation becomes as x X x 2X = 320,000 means X multiplied by 2X result is 320,000.<\/p>\n<p><strong>4.2 Estimate Products<\/strong><\/p>\n<p><strong>Estimate the product. Explain whether your estimate is an overestimate or an underestimate.<\/strong><br \/>\nQuestion 11.<br \/>\n44 \u00d7 81<br \/>\nAnswer:<br \/>\n44 x 81 = 3,564<br \/>\n50 x 80 = 4,000 is overestimate<br \/>\nExplanation :<br \/>\nAs our estimate after rounding each factor becomes as 44 as 50 to nearest ten and 81 as 80 to nearest ten as 44 x 81 &lt; 50 x 80 as the estimate result is greater than the given product results our estimate is an overestimate<\/p>\n<p>Question 12.<br \/>\n29 \u00d7 67<br \/>\nAnswer:<br \/>\n29 x 67 = 1,943<br \/>\n30 x 70 = 2,100 is overestimate<br \/>\nExplanation :<br \/>\nAs our estimate after rounding each factor becomes 29 as 30\u00a0 to nearest ten and 67 as 70 to nearest ten as 29 x 67 &lt; 30 x 70 as the estimate result is greater than the given product results our estimate is an overestimate.<\/p>\n<p>Question 13.<br \/>\n504 \u00d7 302<br \/>\nAnswer:<br \/>\n504 x 302 = 152,208<br \/>\n500 x 300 = 150,000 is underestimate<br \/>\nExplanation :<br \/>\nAs our estimate after rounding each factor becomes 504 as 500 to nearest hundred and 302 as 300 to nearest hundred as 504 x 302\u00a0 &gt; 500 x 300 as the estimate result is lesser than the given product results our estimate is an underestimate.<\/p>\n<p>Question 14.<br \/>\n797 \u00d7 29<br \/>\nAnswer:<br \/>\n792 x 29 = 22,968<br \/>\n800 x 30 = 24,000 is overestimate<br \/>\nExplanation :<br \/>\nAs our estimate after rounding each factor becomes 792 as 800 to nearest hundred and 29 as 30 to nearest ten as 792 x 29 &lt; 800 x 30 as the estimate result is greater than the given product results our estimate is an overestimate.<\/p>\n<p><strong>4.3 Multiply by One-Digit Numbers<\/strong><\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15137\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-chp-15.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers chp 15\" width=\"69\" height=\"82\" \/><br \/>\nAnswer:<br \/>\n663 x 5 = 3,315\u00a0 \u00a0 \u00a0Reasonable 3,315 is close to 3,300<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones. Regroup<br \/>\n5 x 3 ones = 15 ones, Regroup\u00a0 15 ones as 1 tens and 5 ones<br \/>\n1<br \/>\n663<br \/>\n<u>x\u00a0 \u00a05<br \/>\n<\/u>\u00a0 \u00a0 \u00a05<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n5 x 6 tens\u00a0 = 30 tens,\u00a0 30 tens + 1 tens = 31 tens, Regroup 31 tens as<br \/>\n3 hundreds and 1 tens<br \/>\n3<br \/>\n663<br \/>\n<u>x\u00a0 \u00a0 5\u00a0<\/u><br \/>\n15<br \/>\nStep 3 : Multiply the hundreds. Regroup hundreds<br \/>\n5 x 6 hundreds = 30 hundreds, 30 hundreds + 3 hundreds = 33 hundreds<br \/>\nRegroup 33 hundreds as 3 thousands and 3 hundred<br \/>\n663<br \/>\n<u>x\u00a0 \u00a05\u00a0\u00a0<\/u><br \/>\n<span style=\"text-decoration: underline;\">3315<\/span><br \/>\n663 x 5 = 3,315\u00a0 \u00a0 \u00a0Reasonable 3,315 is close to 3,300<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15138\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-chp-16.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers chp 16\" width=\"85\" height=\"72\" \/><br \/>\nAnswer:<br \/>\n1973 x 7 = 13,811\u00a0 \u00a0 \u00a0 Reasonable 13,811\u00a0 is close to 14,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones. Regroup<br \/>\n7 x 3 ones = 21 ones, Regroup\u00a0 21 ones as 2 tens and 1 ones<br \/>\n2<br \/>\n1973<br \/>\n<u>x\u00a0 \u00a0 7<br \/>\n<\/u>\u00a0 \u00a0 \u00a01<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n7 x 7 tens\u00a0 = 49 tens,\u00a0 49 tens + 2 tens = 51 tens, Regroup 51 tens as<br \/>\n5 hundreds and 1 tens<br \/>\n5<br \/>\n1973<br \/>\n<u>x\u00a0 \u00a0 7\u00a0<\/u><br \/>\n11<br \/>\nStep 3 : Multiply the hundreds. Regroup hundreds<br \/>\n7 x 9 hundreds = 63 hundreds, 63 hundreds + 5 hundreds = 68 hundreds<br \/>\nRegroup 68 hundreds as 6 thousands and 8 hundreds<br \/>\n6<br \/>\n1973<br \/>\n<u>x\u00a0 \u00a07\u00a0\u00a0<\/u><br \/>\n811<br \/>\nStep 4 : Multiply the thousands. Add the regrouped thousands<br \/>\n7 x 1 thousands = 7 thousands,7 thousands +6 thousands=13 thousands<br \/>\n1973<br \/>\n<u>x\u00a0 \u00a0 7<br \/>\n<\/u><span style=\"text-decoration: underline;\">13811<br \/>\n<\/span>1973 x 7 = 13,811\u00a0 \u00a0 \u00a0 Reasonable 13,811\u00a0 is close to 14,000<\/p>\n<p>Question 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15139\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-chp-17.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers chp 17\" width=\"92\" height=\"73\" \/><br \/>\nAnswer:<br \/>\n75,028 x 6 = 450,168\u00a0 \u00a0 \u00a0 \u00a0 Reasonable\u00a0 4,50,168 is close to 4,50,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply the ones. Regroup<br \/>\n6 x 8 ones = 48 ones, Regroup\u00a0 48 ones as 4 tens and 8 ones<br \/>\n4<br \/>\n75028<br \/>\n<u>x\u00a0 \u00a0 \u00a0 6<br \/>\n<\/u>\u00a0 \u00a0 \u00a0 \u00a08<br \/>\nStep 2 : Multiply the tens. Regroup<br \/>\n6 x 2 tens\u00a0 = 12 tens,\u00a0 12 tens + 4 tens = 16 tens, Regroup 16 tens as<br \/>\n1 hundreds and 6 tens<br \/>\n1<br \/>\n75028<br \/>\n<u>x\u00a0 \u00a0 \u00a0 6\u00a0<\/u><br \/>\n68<br \/>\nStep 3 : Multiply the hundreds. Regroup hundreds<br \/>\n6 x 0 hundreds = 0 hundreds, 0 hundreds + 1 hundreds = 1 hundred<br \/>\n75028<br \/>\n<u>x\u00a0 \u00a0 \u00a06\u00a0\u00a0<\/u><br \/>\n168<br \/>\nStep 4 : Multiply the thousands. Regroup<br \/>\n6 x 5 thousands = 30 thousands, Regroup 30 thousands as 3 ten thousands and 0 thousands<br \/>\n3<br \/>\n75028<br \/>\n<u>x\u00a0 \u00a0 \u00a0 6<br \/>\n<\/u>\u00a0 \u00a00168<br \/>\nStep 5\u00a0 : Multiply the ten thousands.<br \/>\n6 x 7 ten thousands = 42 ten thousands,42 ten thousands+ 3 ten thousands<br \/>\n=45 ten thousands, regroup as 4 hundred thousand and 5 ten thousand<br \/>\n75028<br \/>\n<u>x\u00a0 \u00a0 \u00a0 6<br \/>\n<\/u><span style=\"text-decoration: underline;\">450168<\/span><br \/>\n75,028 x 6 = 4,50,168\u00a0 \u00a0 \u00a0Reasonable 4,50,168 is close to 4,50,000<\/p>\n<p>Question 18.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThe Great Western Trail is 355 miles longer than 4 times the length of the Iditarod Trail. The Iditarod Trail is 1,025 miles long. How long is the Great Western Trail?<br \/>\nAnswer:<br \/>\nThe Great Western Trail = 355 + ( 4 x 1,025)= 355 + 4,100 = 4,455 miles<br \/>\nExplanation :<br \/>\nGiven that The Great Western Trail is 355 miles longer than 4 times the length of the Iditarod Trail,<br \/>\nThe Great Western Trail= 355 + ( 4 x the Iditarod Trail),<br \/>\nand the Iditarod Trail is 1,025 miles ,<br \/>\nThe Great Western Trail = 355 + ( 4 x 1025) = 355 + 4100 = 4,455 miles, The Great Western Trail is 4,455 miles long.<br \/>\n<strong>4.4 Multiply by Two-Digit Numbers<\/strong><\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15140\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-chp-19.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers chp 19\" width=\"60\" height=\"64\" \/><br \/>\nAnswer:<br \/>\n45 x 35 = 1575\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 1575 is close to 1500<br \/>\nExplanation:<br \/>\nStep 1: Multiply 45 by 5 ones. Regroup<br \/>\n5 ones x 45 = 225 ones<br \/>\n2<br \/>\n45<br \/>\n<span style=\"text-decoration: underline;\">x 35<br \/>\n<\/span>225<br \/>\nStep 2: Multiply 45 by 3 tens or 30, Regroup<br \/>\n3 tens x 45 =135 tens =1350 ones<br \/>\n45<br \/>\n<span style=\"text-decoration: underline;\">x 35<br \/>\n<\/span>\u00a0 225<br \/>\n1350<br \/>\nStep 3 : Add the partial products.<br \/>\n45<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a035<br \/>\n<\/span>\u00a0 \u00a0 \u00a0225<br \/>\n<span style=\"text-decoration: underline;\">+1350<br \/>\n1575<br \/>\n<\/span>45 x 35 = 1575\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 1575 is close to 1500<\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15141\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-chp-20.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers chp 20\" width=\"62\" height=\"66\" \/><br \/>\nAnswer:<br \/>\n206 x 74 = 15,244\u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 15,244 is close to 15,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply 206 by 4 ones. Regroup<br \/>\n4 ones x 206 = 824 ones<br \/>\n2<br \/>\n206<br \/>\n<span style=\"text-decoration: underline;\">x 74<br \/>\n<\/span>824<br \/>\nStep 2: Multiply 206 by 7 tens or by 70, Regroup<br \/>\n7 tens x 206 =1442 tens =14420 ones<br \/>\n206<br \/>\n<span style=\"text-decoration: underline;\">x 74<br \/>\n<\/span>\u00a0 \u00a0 824<br \/>\n14420<br \/>\nStep 3 : Add the partial products.<br \/>\n206<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a0 \u00a0 \u00a0 74<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 \u00a0 824<br \/>\n<span style=\"text-decoration: underline;\">+ 14420<\/span><br \/>\n<span style=\"text-decoration: underline;\">\u00a0 \u00a015244<\/span><br \/>\n206 x 74 = 15,244\u00a0 \u00a0 \u00a0 \u00a0 \u00a0Reasonable 15,244 is close to 15,000<\/p>\n<p>Question 21.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15142\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-chp-21.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers chp 21\" width=\"76\" height=\"80\" \/><br \/>\nAnswer:<br \/>\n5,082 x 69 =\u00a0 350,658\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 3,50,658 is close to 3,50,000<br \/>\nExplanation:<br \/>\nStep 1: Multiply 5082 by 9 ones. Regroup<br \/>\n9 ones x 5082 = 45,738 ones<br \/>\n71<br \/>\n5082<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 69<br \/>\n<\/span>45,738<br \/>\nStep 2: Multiply 5082 by 6 tens or 60, Regroup<br \/>\n6 tens x 5082 = 30492 tens =304920 ones<br \/>\n5082<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 69<br \/>\n<\/span>\u00a0 45738<br \/>\n304920<br \/>\nStep 3 : Add the partial products.<br \/>\n5082<br \/>\n<span style=\"text-decoration: underline;\">x\u00a0 \u00a0 69<br \/>\n<\/span>\u00a0 \u00a0 45738<br \/>\n<span style=\"text-decoration: underline;\">+304920<br \/>\n350658<br \/>\n<\/span>5,082 x 69 =\u00a0 350,658\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Reasonable 3,50,658 is close to 3,50,000<\/p>\n<p><strong>4.5 Multiply by Multi-Digit Whole Numbers<\/strong><\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 22.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15143\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-chp-22.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers chp 22\" width=\"56\" height=\"69\" \/><br \/>\nAnswer:<br \/>\n612 x 143 = 87,516\u00a0 \u00a0 \u00a0 Reasonable 87,516 is close to 90,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 612 by 3 ones or 3<br \/>\n612<br \/>\n<span style=\"text-decoration: underline;\">x 143<br \/>\n<\/span>1836<br \/>\nStep 2 :Multiply 612 by 4 tens or 40.<br \/>\n612<br \/>\n<span style=\"text-decoration: underline;\">x 143<br \/>\n<\/span>\u00a01836<br \/>\n24480<br \/>\nStep 3 : Multiply 612 by 1 hundred or 100. Regroup<br \/>\n612<br \/>\n<span style=\"text-decoration: underline;\">x 143<br \/>\n<\/span>\u00a0 1836<br \/>\n24480<br \/>\n61200<br \/>\nStep 4: Add the partial products.<br \/>\n<span style=\"text-decoration: underline;\"> \u00a0612<br \/>\nx 143<br \/>\n<\/span>\u00a0 \u00a0 \u00a01836<span style=\"text-decoration: underline;\"><br \/>\n<\/span>\u00a0 \u00a024480<br \/>\n<span style=\"text-decoration: underline;\">+61200<br \/>\n87516<br \/>\n<\/span>612 x 143 = 87,516\u00a0 \u00a0 \u00a0 Reasonable 87,516 is close to 90,000<\/p>\n<p>Question 23.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15144\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-chp-23.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers chp 23\" width=\"69\" height=\"72\" \/><br \/>\nAnswer:<br \/>\n899 x 475 = 427,025\u00a0 \u00a0 Reasonable 4,27,025 is close to 4,30,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 899 by 5 ones or 5<br \/>\n44<br \/>\n899<br \/>\n<span style=\"text-decoration: underline;\">x 475<br \/>\n<\/span>\u00a04495<br \/>\nStep 2 :Multiply 899 by 7 tens or 70.<br \/>\n66<br \/>\n899<br \/>\n<span style=\"text-decoration: underline;\">x 475<br \/>\n<\/span>\u00a04495<br \/>\n62930<br \/>\nStep 3 : Multiply 899 by 4 hundred or 400. Regroup<br \/>\n33<br \/>\n899<br \/>\n<span style=\"text-decoration: underline;\">x 475<br \/>\n<\/span>\u00a04495<br \/>\n62930<br \/>\n359600<br \/>\nStep 4: Add the partial products.<br \/>\n899<br \/>\n<span style=\"text-decoration: underline;\">x 475<br \/>\n<\/span>\u00a0 \u00a0 \u00a0 4495<br \/>\n62930<br \/>\n<span style=\"text-decoration: underline;\">+359600<\/span><br \/>\n427025<br \/>\n899 x 475 = 427,025\u00a0 \u00a0 Reasonable 4,27,025 is close to 4,30,000<\/p>\n<p>Question 24.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15145\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-4-Multiply-Whole-Numbers-chp-24.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 4 Multiply Whole Numbers chp 24\" width=\"87\" height=\"74\" \/><br \/>\nAnswer:<br \/>\n6182 x 794 = 4,908,508\u00a0 \u00a0Reasonable 4,908,508\u00a0 is close to 5,000,000<br \/>\nExplanation:<br \/>\nStep 1 : Multiply 6182 by 4 ones or 4<br \/>\n3<br \/>\n6182<br \/>\n<span style=\"text-decoration: underline;\">x 794<br \/>\n<\/span>24728<br \/>\nStep 2 :Multiply 6182 by 9 tens or 90.<br \/>\n71<br \/>\n6182<br \/>\n<span style=\"text-decoration: underline;\">x 794<br \/>\n<\/span>\u00a0 24728<br \/>\n556380<br \/>\nStep 3 : Multiply 6182 by 7 hundred or 700. Regroup<br \/>\n51<br \/>\n6182<br \/>\n<span style=\"text-decoration: underline;\">x 794<br \/>\n<\/span>\u00a0 24728<br \/>\n556380<br \/>\n4327400<br \/>\nStep 4: Add the partial products.<br \/>\n6182<br \/>\n<span style=\"text-decoration: underline;\">x 794<br \/>\n<\/span>\u00a0 \u00a0 24728<br \/>\n556380<br \/>\n<span style=\"text-decoration: underline;\">4327400<\/span><br \/>\n<span style=\"text-decoration: underline;\">4908508<\/span><br \/>\n6182 x 794 = 4,908,508\u00a0 \u00a0Reasonable 4,908,508\u00a0 is close to 5,000,000<\/p>\n<p><em>Conclusion:<\/em><\/p>\n<p>We wish the Big Ideas Math Grade 5 Answer Key Chapter 4 Multiply Whole Numbers is beneficial for you all. There are different methods to solve the problems in multiply whole numbers. Prepare the questions on your own and solve the problems. Students are notified to improve their math skills by referring to the Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Get the free pdf of Big Ideas Math Answers Grade 5 Chapter 4 Multiply Whole Numbers. Every problem is explained with the solution and explanation on Big Ideas Multiply Whole Numbers Grade 5 Chapter 4 Math Answers. 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