{"id":15281,"date":"2022-04-03T11:10:23","date_gmt":"2022-04-03T05:40:23","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=15281"},"modified":"2022-04-07T11:00:06","modified_gmt":"2022-04-07T05:30:06","slug":"big-ideas-math-answers-grade-5-chapter-6","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5-chapter-6\/","title":{"rendered":"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers"},"content":{"rendered":"<p>Do you want to overcome the difficult Grade 5 Chapter 6 Divide Whole Numbers math learning? Then, get connected to this page. Learn every part of this page to get the best learning way. We have provided <strong>Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers<\/strong> on this page. Download Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers PDF without paying ay amount. Check out topic-wise questions and solutions along with explanations of <a href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5\/\">Big Ideas Math Answers Grade 5<\/a> Chapter 6 to solve difficult questions easily. The different concepts with different methods are included on this page for the students.<\/p>\n<h2>Big Ideas Math Book 5th Grade Chapter 6 Divide Whole Numbers Answer Key<\/h2>\n<p>All topics of the division of whole numbers such as Relate Multiplication and Division, Estimate Quotients, Division Patterns, Divide by One-Digit Numbers, Use Partial Quotients with a Remainder, Use Partial Quotients to Divide by Two-Digit Numbers, Divide Four-Digit Numbers by Two-Digit Numbers, and Divide Three-Digit Numbers by Two-Digit Numbers on this page. Click on the below links and start learning the concepts now. Make the most out of the below links and score better grades in your exams.<\/p>\n<p><strong>Lesson: 1 Relate Multiplication and Division<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_6.1_Relate_Multiplication_and_Division\">Lesson 6.1 Relate Multiplication and Division<\/a><\/li>\n<li><a href=\"#Relate_Multiplication_and_Division_Homework_&amp;_Practice_6.1\">Relate Multiplication and Division Homework &amp; Practice 6.1<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 2 Division Patterns<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_6.2_Division_Patterns\">Lesson 6.2 Division Patterns<\/a><\/li>\n<li><a href=\"#Division_Patterns_Homework_&amp;_Practice_6.2\">Division Patterns Homework &amp; Practice 6.2<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 3 Estimate Quotients<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_6.3_Estimate_Quotients\">Lesson 6.3 Estimate Quotients<\/a><\/li>\n<li><a href=\"#Estimate_Quotients_Homework_&amp;_Practice_6.3\">Estimate Quotients Homework &amp; Practice 6.3<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 4 Divide by One-Digit Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_6.4_Divide_by_One_Digit_Numbers\">Lesson 6.4 Divide by One-Digit Numbers<\/a><\/li>\n<li><a href=\"#Divide_by_One_Digit_Numbers_Homework_&amp;_Practice_6.4\">Divide by One-Digit Numbers Homework &amp; Practice 6.4<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 5 Use Partial Quotients to Divide by Two-Digit Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_6.5_Use_Partial_Quotients_to_Divide_by_Two_Digit_Numbers\">Lesson 6.5 Use Partial Quotients to Divide by Two-Digit Numbers<\/a><\/li>\n<li><a href=\"#Use_Partial_Quotients_to_Divide_by_Two_Digit_Numbers_Homework_&amp;_Practice_6.5\">Use Partial Quotients to Divide by Two-Digit Numbers Homework &amp; Practice 6.5<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 6 Use Partial Quotients with a Remainder<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_6.6_Use_Partial_Quotients_with_a_Remainder\">Lesson 6.6 Use Partial Quotients with a Remainder<\/a><\/li>\n<li><a href=\"#Use_Partial_Quotients_with_a_Remainder_Homework_&amp;_Practice_6.6\">Use Partial Quotients with a Remainder Homework &amp; Practice 6.6<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 7 Divide Three-Digit Numbers by Two-Digit Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_6.7_Divide_Three_Digit_Numbers_by_Two_Digit_Numbers\">Lesson 6.7 Divide Three-Digit Numbers by Two-Digit Numbers<\/a><\/li>\n<li><a href=\"#Divide_Three_Digit_Numbers_by_Two_Digit_Numbers_Homework_&amp;_Practice_6.7\">Divide Three-Digit Numbers by Two-Digit Numbers Homework &amp; Practice 6.7<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 8 Divide Four-Digit Numbers by Two-Digit Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_6.8_Divide_Four_Digit_Numbers_by_Two_Digit_Numbers\">Lesson 6.8 Divide Four-Digit Numbers by Two-Digit Numbers<\/a><\/li>\n<li><a href=\"#Divide_Four_Digit_Numbers_by_Two_Digit_Numbers_Homework_&amp;_Practice_6.8\">Divide Four-Digit Numbers by Two-Digit Numbers Homework &amp; Practice 6.8<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 9 Problem Solving: Division<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_6.9_Problem_Solving:_Division\">Lesson 6.9 Problem Solving: Division<\/a><\/li>\n<li><a href=\"#Problem_Solving:_Division_Homework_&amp;_Practice_6.9\">Problem Solving: Division Homework &amp; Practice 6.9<\/a><\/li>\n<\/ul>\n<p><strong>Chapter: 6 &#8211; Divide Whole Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Divide_Whole_Numbers_Performance_Task\">Divide Whole Numbers Performance Task<\/a><\/li>\n<li><a href=\"#Divide_Whole_Numbers_Activity\">Divide Whole Numbers Activity<\/a><\/li>\n<li><a href=\"#Divide_Whole_Numbers_Chapter_Practice\">Divide Whole Numbers Chapter Practice<\/a><\/li>\n<\/ul>\n<h3><a id=\"Lesson_6.1_Relate_Multiplication_and_Division\"><\/a>Lesson 6.1 Relate Multiplication and Division<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use the area models to find 6 \u00d7 19 and 114 \u00f7 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15282\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.1 1\" width=\"393\" height=\"419\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-1.png 393w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-1-281x300.png 281w\" sizes=\"(max-width: 393px) 100vw, 393px\" \/><\/p>\n<p>Answer:<br \/>\n6 x 19 = 114<br \/>\n114 \u00f7 6 = 19<\/p>\n<p>Explanation:<br \/>\nFirst, multiply 6 and 19 to get the product 114. Here 6, 19 are the factors and 114 is the product. When you divide the product by anyone factor, you will automatically get the quotient as another factor. Here, 144 is the dividend, 6 is the divisor and 19 is the quotient.<br \/>\n114 = 60 + 54<br \/>\n= (6 x _) + (6 x _)<br \/>\nFind the sum of unknown factors of the smaller areas: 10 + 9 = 19.<br \/>\nThe related multiplication equation is 6 x 19 = 114. So, 114 \u00f7 6 = 19.<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nHow do you think you can use multiplication to solve a division problem?<br \/>\nAnswer:<\/p>\n<p><strong>Think and Grow: Relate Multiplication and Division<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nInverse operations are operations that \u201cundo\u201d each other. Just as addition and subtraction are inverse operations, multiplication and division are also inverse operations.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15283\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-2.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.1 2\" width=\"641\" height=\"444\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-2.png 641w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-2-300x208.png 300w\" sizes=\"(max-width: 641px) 100vw, 641px\" \/><br \/>\nFind the sum of the unknown factors of the smaller areas: _____ + ______ = _______ .<br \/>\nThe related multiplication equation is 8 \u00d7 ______ = 96. So, 96 \u00f7 8 = ______ .<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Use multiplication to find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n68 \u00f7 4 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15284\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-3.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.1 3\" width=\"289\" height=\"107\" \/><\/p>\n<p>Answer:<br \/>\n17.<\/p>\n<p>Explanation:<br \/>\n68 = 40 + 28<br \/>\n= (4 x _) + (4 x _)<br \/>\nSum of unknown factors of the smallest areas: 10 + 7 = 17<br \/>\nThe related multiplication equation is 4 x 17 = 68. So, 68 \u00f7 4 = 17.<\/p>\n<p>Question 2.<br \/>\n138 \u00f7 6 = _____<\/p>\n<p>Answer:<br \/>\n138 \u00f7 6 = 23<\/p>\n<p>Explanation:<br \/>\n138 = 60 + 78<br \/>\n= (6 x _) + 6 x _)<br \/>\nSum of unknown factors of the smallest areas: 10 + 13 = 23<br \/>\nThe related multiplication equation is 23 x 6 = 138. So, 138 \u00f7 6 = 23.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Use multiplication to find the quotient.<\/strong><br \/>\nQuestion 3.<br \/>\n24 \u00f7 2 = _____<\/p>\n<p>Answer:<br \/>\n24 \u00f7 2 = 12<\/p>\n<p>Explanation:<br \/>\n24 = 20 + 4<br \/>\n= (2 x _) + (2 x _)<br \/>\nSum of unknown factors of the smallest areas: 10 + 2 = 12<br \/>\nThe related multiplication equation is 2 x 12 = 24. So 24 \u00f7 2 = 12.<\/p>\n<p>Question 4.<br \/>\n48 \u00f7 3 = _____<\/p>\n<p>Answer:<br \/>\n48 \u00f7 3 = 16.<\/p>\n<p>Explanation:<br \/>\n48 = 30 + 18<br \/>\n= (3 x _) + (3 x _)<br \/>\nSum of unknown factors of the smallest areas: 10 + 6 = 16<br \/>\nThe related multiplication equation is 3 x 16 = 48. So, 48 \u00f7 3 = 16.<\/p>\n<p>Question 5.<br \/>\n98 \u00f7 7 = _____<\/p>\n<p>Answer:<br \/>\n14.<\/p>\n<p>Explanation:<br \/>\n98 = 35 + 63<br \/>\n= (7 x _) + (7 x _)<br \/>\nThe sum of unknown factors is 5 + 9 = 14.<br \/>\nThe multiplication equation for 98 \u00f7 7 is 7 x 14 = 98. So, 98 \u00f7 7 = 14.<\/p>\n<p>Question 6.<br \/>\n125 \u00f7 5 = _____<\/p>\n<p>Answer:<br \/>\n25.<\/p>\n<p>Explanation:<br \/>\n125 = 100 + 25<br \/>\n= (5 x _) + (5 x _)<br \/>\nThe sum of unknown factors of 5 is 20 + 5 = 25<br \/>\nThe multiplication equation for 125 \u00f7 5 is 25 x 5 = 125. So, 125 \u00f7 5 = 25.<\/p>\n<p>Question 7.<br \/>\n243 \u00f7 9 = _____<\/p>\n<p>Answer:<br \/>\n27.<\/p>\n<p>Explanation:<br \/>\n243 = 162 + 81<br \/>\n= (9 x _) + (9 x _)<br \/>\nThe sum of unknown factors of 9 is 18 + 9 = 27.<br \/>\nThe related multiplication equation is 27 x 9 = 243. So, 243 \u00f7 9 = 27.<\/p>\n<p>Question 8.<br \/>\n132 \u00f7 4 = _____<\/p>\n<p>Answer:<br \/>\n33.<\/p>\n<p>Explanation:<br \/>\n132 = 72 + 60<br \/>\n= (4 x _) + (4 x _)<br \/>\nThe sum of unknown factors of 4 is 18 + 15 = 33<br \/>\nThe related multiplication equation is 33 x 4 = 132. So, 132 \u00f7 4 = 33.<\/p>\n<p>Question 9.<br \/>\n<strong>Structure<\/strong><br \/>\nDraw two different ways to divide the rectangle for 112 \u00f7 8. Write each product using the Distributive Property.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15285\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-4.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.1 4\" width=\"493\" height=\"95\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-4.png 493w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-4-300x58.png 300w\" sizes=\"(max-width: 493px) 100vw, 493px\" \/><\/p>\n<p>Answer:<br \/>\n112 \u00f7 8 = 14.<\/p>\n<p>Explanation:<br \/>\nMethod 1 is to divide the 112 by 8 to get the quotient. Here dividend is 8 divisor is 8 and quotient is 14.<br \/>\n112 = 64 + 48<br \/>\n= (8 x _) + (8 x _)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17299\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/dividing-whole-number-chapter-6-300x155.jpg\" alt=\"\" width=\"300\" height=\"155\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/dividing-whole-number-chapter-6-300x155.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/dividing-whole-number-chapter-6.jpg 599w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nThe sum of unknown areas are 8 + 6 = 14.<br \/>\nThe relative multiplication equation is 14 x 8 = 112. So, 112 \u00f7 8 = 14.<br \/>\nMethod 2 is by dividing the divisor into two parts. And dividing each part by divisor. Get the sum of quotients to get the result.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17868\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Grade-5-Chapter-6-Divide-Whole-Numbers2-300x125.png\" alt=\"\" width=\"300\" height=\"125\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Grade-5-Chapter-6-Divide-Whole-Numbers2-300x125.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Grade-5-Chapter-6-Divide-Whole-Numbers2.png 325w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n112 = 64 + 48<br \/>\n= (8 x _) + (8 x _)<br \/>\n= 8 x (_ + _)<br \/>\nThe sum of unknown areas is 8 + 16 = 14.<br \/>\nThe relative multiplication equation is 14 x 8 = 112. So, 112 \u00f7 8 = 14.<\/p>\n<p><strong>Number Sense<\/strong><br \/>\n<strong>Compare<\/strong><br \/>\nQuestion 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15286\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-5.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.1 5\" width=\"156\" height=\"44\" \/><\/p>\n<p>Answer:<br \/>\n90 \u00f7 6 = 80 \u00f7 5.<\/p>\n<p>Explanation:<br \/>\nWhen you divide 90 with 6, you will get remainder 0 and quotient as 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17870\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-3.jpg\" alt=\"\" width=\"162\" height=\"251\" \/><br \/>\nIn the same way, when you divide 80 with 5, you will also get the quotient is 16, and the remainder as 0. Therefore, both expressions are equal.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17871\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers4.jpg\" alt=\"\" width=\"96\" height=\"247\" \/><\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15287\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-6.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.1 6\" width=\"160\" height=\"45\" \/><\/p>\n<p>Answer:<br \/>\n405 \u00f7 9 = 315 \u00f7 7<\/p>\n<p>Explanation:<br \/>\nIf you divide 405 with divisor 9, you can see quotient 45, remainder 0.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17873\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-6-112x300.jpg\" alt=\"\" width=\"112\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-6-112x300.jpg 112w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-6.jpg 124w\" sizes=\"(max-width: 112px) 100vw, 112px\" \/><br \/>\nAnd when you divide divisor 315 by dividend 7, you can see remainder zero and quotient 45. Hence, both expressions are equal to one other.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17875\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-7-109x300.jpg\" alt=\"\" width=\"109\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-7-109x300.jpg 109w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-7.jpg 121w\" sizes=\"(max-width: 109px) 100vw, 109px\" \/><\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nAn employee has 4 boxes with 36 sticky hands in each box. He divides the sticky hands equally among 6 vending machines. How many sticky hands are in each vending machine?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15288\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-7.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.1 7\" width=\"196\" height=\"117\" \/><br \/>\nMultiply the number of boxes by the number of sticky hands in each box to find the total number of sticky hands.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15289\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-8.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.1 8\" width=\"65\" height=\"81\" \/><br \/>\nDivide the total number of sticky hands by the number of vending machines to find the number of sticky hands in each vending machine.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15290\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-9.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.1 9\" width=\"626\" height=\"247\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-9.png 626w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-9-300x118.png 300w\" sizes=\"(max-width: 626px) 100vw, 626px\" \/><br \/>\nFind the sum of the unknown factors of the smaller areas:<br \/>\n____ + ______ = ______<br \/>\nThe related multiplication equation is 6 \u00d7 _____ = 144.<br \/>\nSo, 144 \u00f7 6 = ______.<br \/>\nThere are ________ sticky hands in each vending machine.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 12.<br \/>\nThere are 6 fifth-grade classes with 21 students in each class. The students are divided equally into 7 groups. How many students are in each group?<\/p>\n<p>Answer:<br \/>\n18 students are there in each group.<\/p>\n<p>Explanation:<br \/>\nHere, we need to multiply the number of students in each class to get the total number of students in the fifth-grade class. i.e 6 x 21 = 126.<br \/>\nDivide the total number of groups in the fifth grade by the total number of students in the fifth grade to find the number of students in each group.<br \/>\n126 \u00f7 7 = ? Division Equation<br \/>\n7 x ? = 126 Related Multiplication Equation<br \/>\nDivide the rectangles into two parts.<br \/>\n126 = 70 + 56<br \/>\n126 = (7 x _) + (7 x _)<br \/>\nFind the sum of the unknown factors of the part: 10 + 8 = 18.<br \/>\nThe related multiplication equation is 7 x 18 = 126. So, 126 \u00f7 7 = 18.<br \/>\nThere are 18 students in each group.<\/p>\n<p>Question 13.<br \/>\nNewton makes 11 clay bowls each month for 1 year. He takes an equal number of bowls to each of the 3 craft fairs. How many bowls does Newton take to each craft fair?<\/p>\n<p>Answer:<br \/>\nNewton can take 44 bowls to each craft fair.<\/p>\n<p>Explanation:<br \/>\nNewton makes 11 clay bowls each month for 1 year means. He can make 11 x 12 = 132 clay bowls.<br \/>\nDivide the total clay bowls by the number of craft fairs to get the number of bowls to each craft fair.<br \/>\n132 \u00f7 3 = ? Division Equation<br \/>\n3 x ? = 132 Related Multiplication Equation<br \/>\nDivide the rectangle into two smaller areas.<br \/>\n132 = 66 + 66<br \/>\n132 = (3 x _) + (3 x _)<br \/>\nThe sum of unknown factors of 11 are 22 + 22 = 44.<br \/>\nThe related multiplication equation for 132 \u00f7 3 is 3 x 44 = 132. So, 132 \u00f7 3 = 44.<br \/>\nNewton can take 44 bowls to each craft fair.<\/p>\n<h3><a id=\"Relate_Multiplication_and_Division_Homework_&amp;_Practice_6.1\"><\/a>Relate Multiplication and Division Homework &amp; Practice 6.1<\/h3>\n<p><strong>Use multiplication to find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n36 \u00f7 2 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15291\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-10.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.1 10\" width=\"272\" height=\"117\" \/><\/p>\n<p>Answer:<br \/>\n36 \u00f7 2 = 18.<\/p>\n<p>Explanation:<br \/>\n36 = 20 + 16<br \/>\n36 = (2 x 10) + (2 x 8)<br \/>\nThe sum of factors of 2 are 10 + 8 = 18.<br \/>\nThe related multiplication equation is 2 x 18 = 36.<br \/>\nSo, 36 \u00f7 2 = 18.<\/p>\n<p>Question 2.<br \/>\n65 \u00f7 5 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15292\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-11.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.1 11\" width=\"279\" height=\"116\" \/><\/p>\n<p>Answer:<br \/>\n65 \u00f7 5 = 13.<\/p>\n<p>Explanation:<br \/>\n65 can be written as the sum of 50 and 15.<br \/>\n65 = 50 + 15<br \/>\n65 = (5 x 10) + (5 x 3)<br \/>\nThe sum of smallest areas is 10 + 3 = 13.<br \/>\nThe related multiplication equation is 5 x 13 = 65.<br \/>\nSo, 65 \u00f7 5 = 13.<\/p>\n<p><strong>Use multiplication to find the quotient.<\/strong><br \/>\nQuestion 3.<br \/>\n57 \u00f7 3 = ______<\/p>\n<p>Answer:<br \/>\n57 \u00f7 3 = 19.<\/p>\n<p>Explanation:<br \/>\n57 = 39 + 18<br \/>\n57 = (3 x 13) + (3 x 6)<br \/>\nThe sum of smallest areas is 13 + 6 = 19.<br \/>\nThe related multiplication equation is 19 x 3 = 57.<br \/>\nSo, 57 \u00f7 3 = 19.<\/p>\n<p>Question 4.<br \/>\n64 \u00f7 4 = ______<\/p>\n<p>Answer:<br \/>\n64 \u00f7 4 = 16.<\/p>\n<p>Explanation:<br \/>\n64 = 40 + 24<br \/>\n64 = (4 x 10) + (4 x 6)<br \/>\nThe sum of smallest areas is 10 + 6 = 16<br \/>\nThe related multiplication equation is 16 x 4 = 64.<br \/>\nSo, 64 \u00f7 4 = 16.<\/p>\n<p>Question 5.<br \/>\n207 \u00f7 9 = _____<\/p>\n<p>Answer:<br \/>\n207 \u00f7 9 = 23.<\/p>\n<p>Explanation:<br \/>\n207 = 108 + 99<br \/>\n207 = (9 x 12) + (9 x 11)<br \/>\nThe sum of smallest areas of the rectangles is 12 + 11 = 23<br \/>\nThe related multiplication equation is 23 x 9 = 207.<br \/>\nSo, 207 \u00f7 9 = 23.<\/p>\n<p>Question 6.<br \/>\n147 \u00f7 7 = _____<\/p>\n<p>Answer:<br \/>\n147 \u00f7 7 = 21.<\/p>\n<p>Explanation:<br \/>\n147 = 105 + 42<br \/>\n147 = (7 x 15) + (7 x 6)<br \/>\nThe sum of smallest areas of the rectangles is 15 + 6 = 21<br \/>\nThe related multiplication equation is 21 x 7 = 147.<br \/>\nSo, 147 \u00f7 7 = 21.<\/p>\n<p>Question 7.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend finds 192 \u00f7 6 by writing (6 \u00d7 30) + (6 \u00d7 2). She says the quotient is 12. Is your friend correct? Explain.<\/p>\n<p>Answer:<br \/>\nWrong.<\/p>\n<p>Explanation:<br \/>\nWe can write 192 as the sum of 180 and 12.<br \/>\n192 = 180 + 12<br \/>\n192 = (6 x 30) + (6 x 2)<br \/>\nThe sum of factors of 6 is 30 + 2 = 32<br \/>\nThe related multiplication equation for 192 \u00f7 6 is 32 x 6 = 192.<br \/>\nSo, when you multiply 192 by 6, it leaves remainder 0 and quotient 32.<br \/>\nTherefore, 192 \u00f7 6 = 32.<\/p>\n<p>Question 8.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain how you can use multiplication to solve a division problem.<\/p>\n<p>Answer:<br \/>\nThe condition to use multiplication to solve the division problems is the division of numbers should leave the remainder 0. When you divide the divisor by dividend, you will get a quotient as the answer. The product of quotient and divisor gives the result as a dividend. So, here quotient, the divisor is called the factors, and the dividend is called the product. Here, you need to split the dividend into two sections using addition property and multiply each part by the divisor. Add those factors to get the quotient value.<\/p>\n<p>Question 9.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA music teacher has 6 fifth-grade classes with 16 students in each class. She places the students into 4 equal rows for a chorus concert. How many students are in each row?<\/p>\n<p>Answer:<br \/>\nThere are 24 students in each row at the chorus concert.<\/p>\n<p>Explanation:<br \/>\nThe total number students = 16 x 6 = 96<br \/>\nThe number of fifth-grade classes = 6<br \/>\nThe music teacher arranges students into 4 equal rows for a chorus concert.<br \/>\nThe number of students in each row = 96 \/ 4 = 24.<\/p>\n<p>Question 10.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou win 50 tickets, 12 tickets, and 16 tickets at an arcade. You are able to buy 3 of the same item with no tickets left over. How many tickets does 1 item cost?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15293\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-12.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.1 12\" width=\"201\" height=\"121\" \/><\/p>\n<p>Answer:<br \/>\nThe cost of 1 item is 26 tickets.<\/p>\n<p>Explanation:<br \/>\nThe total number of tickets won at an arcade = 50 + 12 + 16 = 78 tickets<br \/>\nAs given in the questions, you are able to buy 3 of the same item with no tickets left over. So, divide total tickets by the number of items to get one item cost.<br \/>\nThe cost of 1 item = 78 \/ 3 = 26 tickets.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 11.<br \/>\n31.4 \u00d7 9.2 = _____<\/p>\n<p>Answer:<br \/>\n31.4 \u00d7 9.2 = 288.88<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17876\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-8.jpg\" alt=\"\" width=\"233\" height=\"245\" \/><br \/>\nAdd a dot to the second digit.<br \/>\nThe product is reasonable.<\/p>\n<p>Question 12.<br \/>\n67.3 \u00d7 4.2 = ______<\/p>\n<p>Answer:<br \/>\n67.3 \u00d7 4.2 = 282.66<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17877\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-9.jpg\" alt=\"\" width=\"236\" height=\"255\" \/><br \/>\nAdd dot before two digits from the left side.<br \/>\nProduct is reasonable.<\/p>\n<p>Question 13.<br \/>\n0.8 \u00d7 5.98 = ______<\/p>\n<p>Answer:<br \/>\n0.8 \u00d7 5.98 = 4.784<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17878\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-10.jpg\" alt=\"\" width=\"213\" height=\"292\" \/><br \/>\nAdd dot after 3 digits from the left side.<br \/>\nThe Product is reasonable.<\/p>\n<h3><a id=\"Lesson_6.2_Division_Patterns\"><\/a>Lesson 6.2 Division Patterns<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use any strategy to find each missing factor. Then write a related division equation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15294\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 1\" width=\"569\" height=\"271\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-1.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-1-300x143.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><br \/>\nWhat pattern do you notice?<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17880\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-11-300x72.jpg\" alt=\"\" width=\"300\" height=\"72\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-11-300x72.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-11.jpg 422w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\nThe factors of 15 which satisfy the condition are 5, 3. So, the missing factor is 5. The related multiplication equation is 5 x 3 = 15.<br \/>\nThe factors of 150 that satisfy the condition are 50, 3. So, the missing factor is 50. The related\u00a0multiplication equation is 50 x 3 = 150.<br \/>\nThe factors of 1500 that satisfy the condition are 500, 3. So, the missing factor is 500. Related multiplication equation is 500 x 3 = 1500.<br \/>\nThe factors of 150 that satisfy the condition are 5, 30. So, the missing factor is 5. Related multiplication equation is 5 x 30 = 150.<br \/>\nThe factors of 1500 that satisfy the condition are 50, 30. So, the missing factor is 50. Related multiplication equation is 50 x 30 = 1500.<br \/>\nThe factors of 15000 that satisfy the condition are 500, 30. So, the missing factor is 500. Related multiplication equation is 500 x 30 = 15000.<\/p>\n<p><strong>Repeated Reasoning<\/strong><br \/>\nExplain how finding 35 \u00f7 7 can help you find 350 \u00f7 70.<\/p>\n<p>Answer:<br \/>\nCanceling zeros in 350 \u00f7 70 will get 35 \u00f7 7.<br \/>\n35 \u00f7 7 = 5.<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17881\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-12.jpg\" alt=\"\" width=\"108\" height=\"265\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17882\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-13-132x300.jpg\" alt=\"\" width=\"132\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-13-132x300.jpg 132w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-13.jpg 147w\" sizes=\"(max-width: 132px) 100vw, 132px\" \/><br \/>\nHere both 35 \u00f7 7, 350 \u00f7 70 give the same answer 5.<\/p>\n<p><strong>Think and Grow: Division Patterns<\/strong><\/p>\n<p>You can use place value and basic division facts to divide tens, hundreds, or thousands by one-digit numbers or multiples of ten.<br \/>\n<strong>Example<\/strong><br \/>\nFind 63,00 \u00f7 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15295\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-2.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 2\" width=\"685\" height=\"244\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-2.png 685w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-2-300x107.png 300w\" sizes=\"(max-width: 685px) 100vw, 685px\" \/><br \/>\nSo, 6,300 \u00f7 7 = 900.<\/p>\n<p><strong>Example<\/strong><br \/>\nFind 1,200 \u00f7 40.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15296\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-3.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 3\" width=\"672\" height=\"236\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-3.png 672w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-3-300x105.png 300w\" sizes=\"(max-width: 672px) 100vw, 672px\" \/><br \/>\nSo, 1,200 \u00f7 40 = 30.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n2,500 \u00f7 5 = ________<br \/>\nThink: _____ \u00f7 _____ = _____<\/p>\n<p>Answer:<br \/>\n2,500 \u00f7 5 = 500<br \/>\nThink: 25 hundreds \u00f7 5 = (25 \u00f7 5) hundreds = 5 hundreds.<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17885\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-14-118x300.jpg\" alt=\"\" width=\"118\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-14-118x300.jpg 118w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.1-14.jpg 167w\" sizes=\"(max-width: 118px) 100vw, 118px\" \/><\/p>\n<p>Question 2.<br \/>\n420 \u00f7 60 = ______<br \/>\nThink: _____ \u00f7 _____ = ______<\/p>\n<p>Answer:<br \/>\n420 \u00f7 60 = 7<br \/>\nThink: 420 \u00f7 60 = 42 tens \u00f7 6 tens = 42 \u00f7 6 = 7<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17886\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-1-151x300.jpg\" alt=\"\" width=\"151\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-1-151x300.jpg 151w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-1.jpg 173w\" sizes=\"(max-width: 151px) 100vw, 151px\" \/><\/p>\n<p>Question 3.<br \/>\n5,400 \u00f7 90 = ______<\/p>\n<p>Answer:<br \/>\n5,400 \u00f7 90 = 60<br \/>\n5,400 \u00f7 90 = 54 hundreds \u00f7 9 tens = 54 tens \u00f7 9 = (54 \u00f7 9) tens = 6 tens<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17887\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-2-143x300.jpg\" alt=\"\" width=\"143\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-2-143x300.jpg 143w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-2.jpg 205w\" sizes=\"(max-width: 143px) 100vw, 143px\" \/><\/p>\n<p>Question 4.<br \/>\n8,000 \u00f7 20 = ______<\/p>\n<p>Answer:<br \/>\n8,000 \u00f7 20 = 400<br \/>\n8,000 \u00f7 20 = 8 thousands \u00f7 2 tens = 8 hundreds \u00f7 2 = (8 \u00f7 2) hundreds = 4 hundreds<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17889\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-3-140x300.jpg\" alt=\"\" width=\"140\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-3-140x300.jpg 140w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-3.jpg 202w\" sizes=\"(max-width: 140px) 100vw, 140px\" \/><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Find the quotient.<\/strong><br \/>\nQuestion 5.<br \/>\n800 \u00f7 4 = ______<\/p>\n<p>Answer:<br \/>\n800 \u00f7 4 = 200<br \/>\n800 \u00f7 4 = 8 hundreds \u00f7 4 = (8 \u00f7 4) hundreds = 2 hundreds<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17891\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-4-123x300.jpg\" alt=\"\" width=\"123\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-4-123x300.jpg 123w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-4.jpg 145w\" sizes=\"(max-width: 123px) 100vw, 123px\" \/><\/p>\n<p>Question 6.<br \/>\n120 \u00f7 60 = ______<\/p>\n<p>Answer:<br \/>\n120 \u00f7 60 = 2<br \/>\n120 \u00f7 60 = 12 tens \u00f7 6 tens = 12 \u00f7 6 = 2<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17893\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-5-156x300.jpg\" alt=\"\" width=\"156\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-5-156x300.jpg 156w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-5.jpg 179w\" sizes=\"(max-width: 156px) 100vw, 156px\" \/><\/p>\n<p>Question 7.<br \/>\n5,600 \u00f7 7 = _____<\/p>\n<p>Answer:<br \/>\n5,600 \u00f7 7 = 800<br \/>\n5,600 \u00f7 7 = 56 hundreds \u00f7 7 = (56 \u00f77) hundreds = 8 hundreds<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17894\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-6-121x300.jpg\" alt=\"\" width=\"121\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-6-121x300.jpg 121w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-6.jpg 173w\" sizes=\"(max-width: 121px) 100vw, 121px\" \/><\/p>\n<p>Question 8.<br \/>\n300 \u00f7 50 = _____<\/p>\n<p>Answer:<br \/>\n300 \u00f7 50 = 7<br \/>\n300 \u00f7 50 = 3 hundreds \u00f7 5 tens = 3 tens \u00f7 5 = 30 \u00f7 5 = 7<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17895\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-7-150x300.jpg\" alt=\"\" width=\"150\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-7-150x300.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-7.jpg 173w\" sizes=\"(max-width: 150px) 100vw, 150px\" \/><\/p>\n<p>Question 9.<br \/>\n8,100 \u00f7 90 = ______<\/p>\n<p>Answer:<br \/>\n8,100 \u00f7 90 = 90<br \/>\n8,100 \u00f7 90 = 81 hundreds \u00f7 9 tens = 81 tens \u00f7 9 = (81 \u00f7 9) tens = 9 tens<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17896\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-8-147x300.jpg\" alt=\"\" width=\"147\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-8-147x300.jpg 147w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-8.jpg 213w\" sizes=\"(max-width: 147px) 100vw, 147px\" \/><\/p>\n<p>Question 10.<br \/>\n3,000 \u00f7 30 = ______<\/p>\n<p>Answer:<br \/>\n3,000 \u00f7 30 = 100<br \/>\n3,000 \u00f7 30 = 3 thousands \u00f7 3 tens = 3 hundreds \u00f7 3 = (3 \u00f7 3) hundreds = 1 hundreds<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17898\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-9-137x300.jpg\" alt=\"\" width=\"137\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-9-137x300.jpg 137w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-9.jpg 196w\" sizes=\"(max-width: 137px) 100vw, 137px\" \/><\/p>\n<p>Question 11.<br \/>\n1,000 divided by 20 is _____.<\/p>\n<p>Answer:<br \/>\n1,000 divided by 20 is 50.<\/p>\n<p>Explanation:<br \/>\n1 thousand divided by 2 tens = 1 hundred \u00f7 2 = (10 \u00f7 2) tens = 5 tens.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17899\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-10-135x300.jpg\" alt=\"\" width=\"135\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-10-135x300.jpg 135w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-10.jpg 193w\" sizes=\"(max-width: 135px) 100vw, 135px\" \/><\/p>\n<p>Question 12.<br \/>\n900 divided by 10 is ______.<\/p>\n<p>Answer:<br \/>\n900 divided by 10 is 90.<\/p>\n<p>Explanation:<br \/>\n9 hundred \u00f7 1 ten = 9 tens \u00f7 1 = 9 tens<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17901\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-11-151x300.jpg\" alt=\"\" width=\"151\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-11-151x300.jpg 151w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-11.jpg 173w\" sizes=\"(max-width: 151px) 100vw, 151px\" \/><\/p>\n<p>Question 13.<br \/>\n1,800 divided by 60 is _____.<\/p>\n<p>Answer:<br \/>\n1,800 divided by 60 is 30.<\/p>\n<p>Explanation:<br \/>\n18 hundred \u00f7 6 tens = 18 tens \u00f7 6 = (18 \u00f7 6) tens = 3 tens<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17903\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-12-144x300.jpg\" alt=\"\" width=\"144\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-12-144x300.jpg 144w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-12.jpg 203w\" sizes=\"(max-width: 144px) 100vw, 144px\" \/><\/p>\n<p><strong>Find the missing factor.<\/strong><br \/>\nQuestion 14.<br \/>\n_____ \u00f7 40 = 8<\/p>\n<p>Answer:<br \/>\n320 \u00f7 40 = 8<\/p>\n<p>Explanation:<br \/>\nTake the unknown value as x tens because the denominator has tens and the quotient does not have tens. Find which number divides by 4 gives 8. So, 32 divided by 4 gives 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17905\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-13-160x300.jpg\" alt=\"\" width=\"160\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-13-160x300.jpg 160w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-13.jpg 184w\" sizes=\"(max-width: 160px) 100vw, 160px\" \/><\/p>\n<p>Question 15.<br \/>\n360 \u00f7 ____ = 6<\/p>\n<p>Answer:<br \/>\n360 \u00f7 60 = 6<\/p>\n<p>Explanation:<br \/>\nWe know that numerator number has tens so denominator number must also have tens to get the quotient in ones. Then, check 36 divided by which number gives the quotient 6. So, the answer is 6 tens.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17906\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-14-143x300.jpg\" alt=\"\" width=\"143\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-14-143x300.jpg 143w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-14.jpg 168w\" sizes=\"(max-width: 143px) 100vw, 143px\" \/><\/p>\n<p>Question 16.<br \/>\n7,200 \u00f7 _____ = 90<\/p>\n<p>Answer:<br \/>\n7,200 \u00f7 80 = 90<\/p>\n<p>Explanation:<br \/>\nHere, the numerator has hundred and the quotient has tens. So, the denominator will have tens. Check 72 divided by which number gives 9. Hence, the denominator is 8 tens.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17909\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-15-154x300.jpg\" alt=\"\" width=\"154\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-15-154x300.jpg 154w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-15.jpg 222w\" sizes=\"(max-width: 154px) 100vw, 154px\" \/><\/p>\n<p><strong>Compare<\/strong><br \/>\nQuestion 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15297\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-4.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 4\" width=\"231\" height=\"57\" \/><br \/>\nAnswer:<br \/>\n28 tens \u00f7 7 tens = 28 \u00f7 7<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17910\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-16-144x300.jpg\" alt=\"\" width=\"144\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-16-144x300.jpg 144w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-16.jpg 166w\" sizes=\"(max-width: 144px) 100vw, 144px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17911\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-17.jpg\" alt=\"\" width=\"112\" height=\"270\" \/><br \/>\nSo, 28 tens \u00f7 7 tens = 28 \u00f7 7<\/p>\n<p>Question 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15298\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-5.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 5\" width=\"261\" height=\"44\" \/><\/p>\n<p>Answer:<br \/>\n2700 \u00f7 90 \u2260 24 tens \u00f7 8 tens<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17912\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-18-138x300.jpg\" alt=\"\" width=\"138\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-18-138x300.jpg 138w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-18.jpg 200w\" sizes=\"(max-width: 138px) 100vw, 138px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17914\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-19-165x300.jpg\" alt=\"\" width=\"165\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-19-165x300.jpg 165w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-19.jpg 195w\" sizes=\"(max-width: 165px) 100vw, 165px\" \/><\/p>\n<p>Question 19.<br \/>\nA jeweler has 600 rings. He displays 20 rings in each ring cushion. How many ring cushions does he use?<\/p>\n<p>Answer:<br \/>\nA jeweler uses 30 ring cushions to display rings.<\/p>\n<p>Explanation:<br \/>\nThe number of rings = 600<br \/>\nNumber of rings in each ring cushion = 20<br \/>\nNumber of ring cushions required to display rings = 600 \u00f7 20 = 6 hundred \u00f7 2 tens = 6 tens \u00f7 2 = 3 tens<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-17917\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-20-140x300.jpg\" alt=\"\" width=\"140\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-20-140x300.jpg 140w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-20.jpg 161w\" sizes=\"(max-width: 140px) 100vw, 140px\" \/><\/p>\n<p>Question 20.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain how to use 45 \u00f7 9 to find 4,500 \u00f7 90.<\/p>\n<p>Answer:<br \/>\n45 \u00f7 9 and 4500 \u00f7 90 gives the same answer with different units. Because, in 4500 \u00f7 90, we have 45 hundred \u00f7 9 tens. We can write it as (45 \u00f7 9) tens. So, solve 45 \u00f7 9 and substitute the value in (45 \u00f7 9) tens to get the answer. Actually, 45 \u00f7 9 = 5, 4,500 \u00f7 90 = (45 \u00f7 9) tens = 5 tens<\/p>\n<p>Question 21.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWhich number cards have a quotient of 70?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15299\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-6.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 6\" width=\"628\" height=\"53\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-6.png 628w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-6-300x25.png 300w\" sizes=\"(max-width: 628px) 100vw, 628px\" \/><\/p>\n<p>Answer:<br \/>\n2800 \u00f7 40 have a quotient of 70.<\/p>\n<p>Explanation:<br \/>\nFrom the given divisions we can say that the quotient should be 70. Out of all the above 4 questions, 2800 \u00f7 40 only gives the quotient in tens and 28 \u00f7 4 is 7. So, 2800 \u00f7 40 has a quotient of 70.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18011\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-21-147x300.jpg\" alt=\"\" width=\"147\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-21-147x300.jpg 147w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-21.jpg 214w\" sizes=\"(max-width: 147px) 100vw, 147px\" \/><\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA blue whale\u2019s heart beats once every 10 seconds. How many times does the blue whale\u2019s heart beat in 1 hour?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15300\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-7.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 7\" width=\"178\" height=\"120\" \/><br \/>\nThink: How many seconds are in 1 hour? There are 60 seconds in 1 minute, and 60 minutes in 1 hour. So, multiply 60 by 60 to find how many seconds are in 1 hour.<br \/>\n60 \u00d7 60 = 3,600<br \/>\nDivide 3,600 by 10 to find how many times the blue whale\u2019s heart beats in 1 hour.<br \/>\nThink: 36 \u00f7 1 = _______ Division fact<br \/>\n360 \u00f7 10 = 36 tens \u00f7 1 ten = _________ Use place value.<br \/>\n3,600 \u00f7 10 = 360 tens \u00f7 1 ten = _____<br \/>\nSo, the blue whale\u2019s heart beats _______ times in 1 hour.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 22.<br \/>\nA box of tennis balls weighs 3 kilograms. Each tennis ball weighs about 60 grams. How many tennis balls are in the box?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15301\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-8.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 8\" width=\"221\" height=\"120\" \/><\/p>\n<p>Answer:<br \/>\nThe number of tennis balls in the box is 3000 grams \u00f7 60 grams = 50.<\/p>\n<p>Explanation:<br \/>\nThe weight of tennis balls box = 3 kilograms = 3000 grams<br \/>\nThe weight of each tennis ball = 60 grams<br \/>\nThe number of tennis balls in the box = 3000 grams \u00f7 60 grams = 3 thousand \u00f7 6 tens = 3 hundreds \u00f7 6\u00a0 = 30 tens \u00f7 6 = 5 tens<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18013\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-22-146x300.jpg\" alt=\"\" width=\"146\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-22-146x300.jpg 146w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-22.jpg 214w\" sizes=\"(max-width: 146px) 100vw, 146px\" \/><\/p>\n<p>Question 23.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nAn automated teller machine, or ATM, has only $20 bills. At the start of the day, it has $10,000. One hundred eighty $20 bills are withdrawn throughout the day. How many $20 bills does the ATM have left?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15302\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-9.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 9\" width=\"185\" height=\"98\" \/><br \/>\nAnswer:<br \/>\nThe ATM has 320 $20 bills left after counting the withdrawn amount.<\/p>\n<p>Explanation:<br \/>\nThe amount at the ATM at the start of the day = $10,000<br \/>\nThe number of bills at the start of the day = $10,000 \u00f7 $20 = 10 thousand \u00f7 2 tens = (10 \u00f7 2) hundred = 5 hundred<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18016\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-23-136x300.jpg\" alt=\"\" width=\"136\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-23-136x300.jpg 136w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-23.jpg 233w\" sizes=\"(max-width: 136px) 100vw, 136px\" \/><br \/>\nThe withdrawn amount throughout the day = One hundred eighty $20 bills<br \/>\nThe left amount in the ATM = 500 bills &#8211; 180 bills = 320 $20 bills<\/p>\n<p>Question 24.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA cargo van can hold up to 2 tons. The driver weighs 200 pounds. He needs to transport as many 50-pound bags of dog food as possible. How many bags of dog food can the van hold?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15303\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-10.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 10\" width=\"199\" height=\"148\" \/><\/p>\n<p>Answer:<br \/>\nA cargo van can transport 76-pound bags of dog food.<\/p>\n<p>Explanation:<br \/>\nThe weight can hold by a cargo van = 2 tons = 2 x 2000 pounds = 4000 pounds<br \/>\nDriver weight = 200 pounds<br \/>\nWeight of each dog food bag = 50-pounds<br \/>\nThe remaining weight can be left for the dog food bags = 4000 &#8211; 200 = 3800 pounds<br \/>\nThe number of bags van can transport = 3800 \u00f7 50 = 38 hundred \u00f7 5 tens = (38 \u00f7 5) ten = 7.6 ten = 76<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18023\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-24-132x300.jpg\" alt=\"\" width=\"132\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-24-132x300.jpg 132w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-24.jpg 189w\" sizes=\"(max-width: 132px) 100vw, 132px\" \/><\/p>\n<h3><a id=\"Division_Patterns_Homework_&amp;_Practice_6.2\"><\/a>Division Patterns Homework &amp; Practice 6.2<\/h3>\n<p><strong>Find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n180 \u00f7 2 = ______<br \/>\nThink: ____ \u00f7 _____ = _______<\/p>\n<p>Answer:<br \/>\n180 \u00f7 2 = 90<br \/>\nThink: 18 tens \u00f7 2 = 9 tens<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18024\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-25-115x300.jpg\" alt=\"\" width=\"115\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-25-115x300.jpg 115w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-25.jpg 134w\" sizes=\"(max-width: 115px) 100vw, 115px\" \/><\/p>\n<p>Question 2.<br \/>\n4,200 \u00f7 70 = _____<br \/>\nThink: _____ \u00f7 _____ = _____<\/p>\n<p>Answer:<br \/>\n4,200 \u00f7 70 = 60<br \/>\nThink: 42 hundred \u00f7 7 tens = (42 \u00f7 7) tens = 6 tens<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18026\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-26-136x300.jpg\" alt=\"\" width=\"136\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-26-136x300.jpg 136w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-26.jpg 198w\" sizes=\"(max-width: 136px) 100vw, 136px\" \/><\/p>\n<p>Question 3.<br \/>\n4,000 \u00f7 5 = _____<\/p>\n<p>Answer:<br \/>\n4,000 \u00f7 5 = 800.<\/p>\n<p>Explanation:<br \/>\n4 thousands \u00f7 5 = 40 hundreds \u00f7 5 = 8 hundreds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18027\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-27-122x300.jpg\" alt=\"\" width=\"122\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-27-122x300.jpg 122w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-27.jpg 177w\" sizes=\"(max-width: 122px) 100vw, 122px\" \/><\/p>\n<p>Question 4.<br \/>\n270 \u00f7 30 = _______<\/p>\n<p>Answer:<br \/>\n270 \u00f7 30 = 9.<\/p>\n<p>Explanation:<br \/>\n27 tens \u00f7 3 tens = 27 \u00f7 3 = 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18032\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-28-145x300.jpg\" alt=\"\" width=\"145\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-28-145x300.jpg 145w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-28.jpg 171w\" sizes=\"(max-width: 145px) 100vw, 145px\" \/><\/p>\n<p>Question 5.<br \/>\n2,400 \u00f7 60 = ______<\/p>\n<p>Answer:<br \/>\n2,400 \u00f7 60 = 40.<\/p>\n<p>Explanation:<br \/>\n24 hundreds \u00f7 6 tens = 4 tens.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18033\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-29-138x300.jpg\" alt=\"\" width=\"138\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-29-138x300.jpg 138w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-29.jpg 201w\" sizes=\"(max-width: 138px) 100vw, 138px\" \/><\/p>\n<p>Question 6.<br \/>\n200 divided by 40 is ______.<\/p>\n<p>Answer:<br \/>\n200 divided by 40 is 5.<\/p>\n<p>Explanation:<br \/>\n2 hundreds \u00f7 4 tens = 20 tens \u00f7 4 tens = 20 \u00f7 4 = 5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18035\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-30-150x300.jpg\" alt=\"\" width=\"150\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-30-150x300.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-30.jpg 171w\" sizes=\"(max-width: 150px) 100vw, 150px\" \/><\/p>\n<p>Question 7.<br \/>\n400 divided by 20 is ______.<\/p>\n<p>Answer:<br \/>\n400 divided by 20 is 20.<\/p>\n<p>Explanation:<br \/>\n4 hundreds \u00f7 2 tens = 4 tens \u00f7 2 = 2 tens.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18037\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-31-147x300.jpg\" alt=\"\" width=\"147\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-31-147x300.jpg 147w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-31.jpg 170w\" sizes=\"(max-width: 147px) 100vw, 147px\" \/><\/p>\n<p>Question 8.<br \/>\n2,100 divided by 70 is ______.<\/p>\n<p>Answer:<br \/>\n2,100 divided by 70 is 30.<\/p>\n<p>Explanation:<br \/>\n21 hundreds \u00f7 7 tens = 21 tens \u00f7 7 = 3 tens<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18039\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-32-136x300.jpg\" alt=\"\" width=\"136\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-32-136x300.jpg 136w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-32.jpg 197w\" sizes=\"(max-width: 136px) 100vw, 136px\" \/><\/p>\n<p><strong>Find the missing factor.<\/strong><br \/>\nQuestion 9.<br \/>\n2,400 \u00f7 ____ = 30<\/p>\n<p>Answer:<br \/>\n2,400 \u00f7 80 = 30.<\/p>\n<p>Explanation:<br \/>\nCheck which number divided by 24 gives quotient 3. So, 24 \u00f7 8 = 3. That means 24 hundreds \u00f7 tens = 3 tens<br \/>\n(24 \u00f7 _) tens = 3 tens<br \/>\n24 \u00f7 8 tens = 3 tens<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18041\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-33-136x300.jpg\" alt=\"\" width=\"136\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-33-136x300.jpg 136w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-33.jpg 192w\" sizes=\"(max-width: 136px) 100vw, 136px\" \/><\/p>\n<p>Question 10.<br \/>\n______ \u00f7 60 = 50<\/p>\n<p>Answer:<br \/>\n3,000 \u00f7 60 = 50.<\/p>\n<p>Explanation:<br \/>\n_ thousands \u00f7 6 tens = 5 tens<br \/>\n_ \u00f7 6 hundreds = 5 tens<br \/>\nSo, 3,000 \u00f7 60 = 50<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18042\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-34-135x300.jpg\" alt=\"\" width=\"135\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-34-135x300.jpg 135w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-34.jpg 193w\" sizes=\"(max-width: 135px) 100vw, 135px\" \/><\/p>\n<p>Question 11.<br \/>\n700 \u00f7 ____ = 70<\/p>\n<p>Answer:<br \/>\n700 \u00f7 10 = 70.<\/p>\n<p>Explanation:<br \/>\n7 hundreds \u00f7 ___ = 7 tens<br \/>\nSo, 7 hundreds \u00f7 ten = 7 tens<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18043\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-35-148x300.jpg\" alt=\"\" width=\"148\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-35-148x300.jpg 148w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-35.jpg 174w\" sizes=\"(max-width: 148px) 100vw, 148px\" \/><\/p>\n<p>Compare<br \/>\nQuestion 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15304\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-11.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 11\" width=\"243\" height=\"41\" \/><\/p>\n<p>Answer:<br \/>\n45 hundreds \u00f7 9 &gt; 450 \u00f7 90<\/p>\n<p>Explanation:<br \/>\n45 hundreds \u00f7 9 = 5 hundreds<br \/>\n450 \u00f7 90 = 5<br \/>\nSo, 45 hundreds \u00f7 9 &gt; 450 \u00f7 90<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15305\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-12.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 12\" width=\"192\" height=\"44\" \/><\/p>\n<p>Answer:<br \/>\n3600 \u00f7 60 &lt; 140 \u00f7 2<\/p>\n<p>Explanation:<br \/>\n3600 \u00f7 60 = 36 hundreds \u00f7 6 tens = 36 \u00f7 6 tens = 6 tens<br \/>\n140 \u00f7 2 = 14 tens \u00f7 2 = (14 \u00f7 2) tens = 7 tens<br \/>\nSo, 3600 \u00f7 60 &lt; 140 \u00f7 2<\/p>\n<p>Question 14.<br \/>\nThe elevator to the Top of the Rock Observation Deck in New York City travels 1,200 feet each minute. How many feet does the elevator travel each second?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15306\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-13.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 13\" width=\"229\" height=\"200\" \/><\/p>\n<p>Answer:<br \/>\nThe elevator to the Top of the Rock Observation Deck in New York City travels 20 feet in each second.<\/p>\n<p>Explanation:<br \/>\nThe elevator to the Top of the Rock Observation Deck in New York City travels 1,200 feet each minute.<br \/>\n1 minute has 60 seconds.<br \/>\nSo, the elevator travels 1200 feet \u00f7 60 in each second.<br \/>\n= 12 hundreds feet \u00f7 6 tens = 12 tens \u00f7 6 = 2 tens feet.<\/p>\n<p>Question 15.<br \/>\n<strong>Reasoning<\/strong><br \/>\nWhy is 640 \u00f7 80 equal to 64 \u00f7 8?<\/p>\n<p>Answer:<br \/>\n640 \u00f7 80 = 64 tens \u00f7 8 tens = 64 \u00f7 8.<br \/>\nWe can say that in 640 \u00f7 80 both numerator and denominator have tens. By canceling those tens, we will get 64 \u00f7 8.<br \/>\nSo, 640 \u00f7 80 = 64 \u00f7 8<\/p>\n<p>Question 16.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA black bear in a zoo eats 8 kilograms of food each day. He eats 4 equal-sized meals each day. How many grams of food are in each meal?<\/p>\n<p>Answer:<br \/>\nA black bear in a zoo eats 2000 grand of food are in each meal.<\/p>\n<p>Explanation:<br \/>\nThe weight of food a black bear in a zoo eats a day = 8 kilograms = 8 x 1000 grams = 8000 grams<br \/>\nNumber of meals in a day = 4 equal-sized meals<br \/>\nThe weight of food black bear eat in each meal = 8000 \u00f7 4 = 8 thousand \u00f7 4 = (8 \u00f7 4) thousand = 2 thound grams.<\/p>\n<p>Question 17.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nHow many times faster does a grizzly bear\u2019s heart beat each minute outside of hibernation than during hibernation?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15307\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-14.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 14\" width=\"308\" height=\"160\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-14.png 308w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-14-300x156.png 300w\" sizes=\"(max-width: 308px) 100vw, 308px\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18049\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-36-300x142.jpg\" alt=\"\" width=\"300\" height=\"142\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-36-300x142.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-36.jpg 413w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\n1 Hour = 60 Minutes<br \/>\nSo, outside of hibernation = 2400 \u00f7 60 = 24 hundreds \u00f7 6 tens = 24 \u00f7 6 tens = 4 tens<br \/>\nDuring hibernation = 480 \u00f7 60 = 48 tens \u00f7 6 tens = 48 \u00f7 6 = 8.<\/p>\n<p>Review &amp; Refresh<\/p>\n<p>Compare.<br \/>\nQuestion 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15308\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-15.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 15\" width=\"136\" height=\"40\" \/><\/p>\n<p>Answer:<br \/>\n7.829 &gt; 7.851<\/p>\n<p>Explanation:<br \/>\n7.829 is greater than 7.851. Because the digits after point will have lesser value.<\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15309\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-16.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 16\" width=\"116\" height=\"40\" \/><\/p>\n<p>Answer:<br \/>\n0.65 = 0.650<\/p>\n<p>Explanation:<br \/>\nIn 0.650, 0 after 65 will have no value. So, 0.65 = 0.650.<\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15310\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.2-17.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.2 17\" width=\"127\" height=\"40\" \/><\/p>\n<p>Answer:<br \/>\n2.816 &lt; 2.814<\/p>\n<p>Explanation:<br \/>\n2.816 is less than 2.814. Because the digits after point will have lesser value.<\/p>\n<h3><a id=\"Lesson_6.3_Estimate_Quotients\"><\/a>Lesson 6.3 Estimate Quotients<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Complete the table. Explain how you can use the table to estimate 154 \u00f7 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15311\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.3-1.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.3 1\" width=\"341\" height=\"258\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.3-1.png 341w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.3-1-300x227.png 300w\" sizes=\"(max-width: 341px) 100vw, 341px\" \/><br \/>\n154 \u00f7 20 is about ______.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18051\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-37.jpg\" alt=\"\" width=\"240\" height=\"244\" \/><br \/>\n154 \u00f7 20 = 7<\/p>\n<p>Explanation:<br \/>\n154 is greater than 160 and less than 140. So, the quotient lies between 7 and 8. Dividing 154 by 20 gives quotient 7, and remainder not zero.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18062\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-38-140x300.jpg\" alt=\"\" width=\"140\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-38-140x300.jpg 140w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.2-38.jpg 159w\" sizes=\"(max-width: 140px) 100vw, 140px\" \/><\/p>\n<p><strong>Reasoning<\/strong><br \/>\nWhy did you choose your estimate? Compare your results with your partner\u2019s.<\/p>\n<p>Answer:<br \/>\nI have chosen estimate to get the result for division of two numbers. It may not give accurate result, but it gives appropriate value of quotient with easy and quick process. when compared with partners result, i will find the quotient fastly and appropriate answer.To estimate your result, you need to find the nearest numbers those are exactly divided by the divisor.<\/p>\n<p><strong>Think and Grow: Estimate Quotients<\/strong><\/p>\n<p>You can use division facts and compatible numbers to estimate a quotient.<br \/>\n<strong>Example<\/strong><br \/>\nEstimate 4,139 \u00f7 6.<br \/>\nLook at the first two digits of the dividend and use basic division facts.<br \/>\nThink: What numbers close to 4,139 are easily divided by 6?<br \/>\nUse 3,600. 36 \u00f7 6 = 6, so 3,600 \u00f7 6 = 600 .<br \/>\nUse 4,200. 42 \u00f7 6 = 7, so 4,200 \u00f7 6 = 700.<br \/>\nChoose 4,200 because 4,139 is closer to 4,200.<br \/>\nSo, 4,139 \u00f7 6 is about 700.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15312\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.3-2.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.3 2\" width=\"201\" height=\"247\" \/><br \/>\n<strong>Example<\/strong><br \/>\nEstimate 2,805 \u00f7 30.<br \/>\nThink: What numbers close to 2,805 are easily divided by 30?<br \/>\nUse 2,700. 27 \u00f7 3 = 9<br \/>\n270 \u00f7 30 = 9<br \/>\n2,700 \u00f7 30 = 90<\/p>\n<p>Use 3,000. 30 \u00f7 3 = 10<br \/>\n300 \u00f7 30 = 10<br \/>\n3,000 \u00f7 30 = 100<br \/>\nChoose 2,700 because 2,805 is closer to 2,700.<br \/>\nSo, 2,805 \u00f7 30 is about 90.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find two numbers that the quotient is between.<\/strong><br \/>\nQuestion 1.<br \/>\n5,482 \u00f7 7<br \/>\n4,900 \u00f7 7 = _____<br \/>\n5,600 \u00f7 7 = ______<\/p>\n<p>Answer:<br \/>\n5,482 \u00f7 7 = 800<br \/>\n4,900 \u00f7 7 = 49 hundreds \u00f7 7 = 7 hundreds<br \/>\n5,600 \u00f7 7 = 56 hundreds \u00f7 7 = 8 hundreds<\/p>\n<p>Explanation:<br \/>\nAs the given dividend 5,482 is near to 5,600 and 5,600 \u00f7 7 is 800. So, the answer is 800.<\/p>\n<p>Question 2.<br \/>\n176 \u00f7 52<br \/>\n150 \u00f7 50 = ______<br \/>\n200 \u00f7 50 = _______<\/p>\n<p>Answer:<br \/>\n176 \u00f7 52 is about 4.<br \/>\n150 \u00f7 50 = 15 tens \u00f7 5 tens = 3<br \/>\n200 \u00f7 50 = 20 tens \u00f7 5 tens = 4<\/p>\n<p>Explanation:<br \/>\nChoose 200 because 176 is closer to 200.<br \/>\nSo, 176 \u00f7 52 is about 4<\/p>\n<p>Question 3.<br \/>\n2,620 \u00f7 67<\/p>\n<p>Answer:<br \/>\n2,620 \u00f7 67 is<\/p>\n<p>Explanation:<br \/>\nWhat numbers close to 2,620 are easily divided by 67?<br \/>\n2620 \u00f7 70 = 26 hundreds \u00f7 7 tens = 26 tens \u00f7 7 =<br \/>\nUse 3,600. 36 \u00f7 6 = 6, so 3,600 \u00f7 6 = 600 .<br \/>\nUse 4,200. 42 \u00f7 6 = 7, so 4,200 \u00f7 6 = 700.<br \/>\nChoose 4,200 because 4,139 is closer to 4,200.<\/p>\n<p><strong>Estimate the quotients<\/strong><br \/>\nQuestion 4.<br \/>\n1,471 \u00f7 5<\/p>\n<p>Answer:<br \/>\n1,471 \u00f7 5 is about 300.<\/p>\n<p>Explanation:<br \/>\nChoose what numbers close to 1471 and easily divided by 5.<br \/>\n1500 \u00f7 5 = 15 hundreds \u00f7 5 = 3 hundreds = 300<br \/>\n1000 \u00f7 5 = 10 hundreds \u00f7 5 = 2 hundreds = 200<br \/>\nSo, choose 1500 because 1471 is nearer to 1500.<\/p>\n<p>Question 5.<br \/>\n280 \u00f7 41<\/p>\n<p>Answer:<br \/>\n280 \u00f7 41 is about 7.<\/p>\n<p>Explanation:<br \/>\nWhat numbers close to 280 and easily divisible by 40.<br \/>\n280 \u00f7 40 = 28 tens \u00f7 4 tens = 7<br \/>\nSo, choose 280.<\/p>\n<p>Question 6.<br \/>\n4,750 \u00f7 88<\/p>\n<p>Answer:<br \/>\n4,750 \u00f7 88 is about 50.<\/p>\n<p>Explanation:<br \/>\nChoose what numbers are closer to 4750 and divisible by 90.<br \/>\n4500 \u00f7 90 = 45 hundreds \u00f7 9 tens = 5 tens = 50<br \/>\n5400 \u00f7 90 = 54 hundreds \u00f7 9 tens = 6 tens = 60<br \/>\nSo, choose 4500 which is the nearest number to 4750.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Estimate the quotients<\/strong><br \/>\nQuestion 7.<br \/>\n557 \u00f7 6<\/p>\n<p>Answer:<br \/>\n557 \u00f7 6 is about 90.<\/p>\n<p>Explanation:<br \/>\nWhat numbers close to 557 and are easily divided by 6.<br \/>\n540 \u00f7 6 = 54 tens \u00f7 6 = 9 tens = 90<br \/>\n600 \u00f7 6 = 60 tens \u00f7 6 = 10 tens = 100<br \/>\nSo, choose the number 540 is near to 557.<\/p>\n<p>Question 8.<br \/>\n3,231 \u00f7 5<\/p>\n<p>Answer:<br \/>\n3,231 \u00f7 5 is about 600.<\/p>\n<p>Explanation:<br \/>\nWhat numbers close to 3231 and easily divided by 5.<br \/>\n3000 \u00f7 5 = 30 hundreds \u00f7 5 = 6 hundreds = 600<br \/>\n3500 \u00f7 5 = 35 hundreds \u00f7 5 = 7 hundreds = 700<br \/>\nSo, choose 3000 which is near to 3231.<\/p>\n<p>Question 9.<br \/>\n896 \u00f7 11<\/p>\n<p>Answer:<br \/>\n896 \u00f7 11 is about 90.<\/p>\n<p>Explanation:<br \/>\nChoose the numbers that are near to 896 and divisible by 11.<br \/>\n880 \u00f7 11 = 88 tens \u00f7 11 = 88<br \/>\n990 \u00f7 11 = 99 tens \u00f7 11 = 99<br \/>\nSo, select 880 that is near to 896.<\/p>\n<p>Question 10.<br \/>\n\\(\\sqrt [ 39 ]{ 7,610 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 39 ]{ 7,610 } \\) is about 200.<\/p>\n<p>Explanation:<br \/>\nChoose the numbers that are near to 7610 and divisible by 40.<br \/>\n8000 \u00f7 40 = 8 thousands \u00f7 4 tens = 8 hundreds \u00f7 4 = 2 hundreds = 200<br \/>\n4000 \u00f7 40 = 4 thousands \u00f7 4 tens = 1 hundred = 100<br \/>\nSo, choose 8000 which is near to 7610 and divisible by 40 that is near to 39.<\/p>\n<p>Question 11.<br \/>\n\\(\\sqrt [ 94 ]{ 6,287 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 94 ]{ 6,287 } \\) is about 70.<\/p>\n<p>Explanation:<br \/>\nChoose the numbers those are close to 6287 and divisible by 90 that is near to 94.<br \/>\n6300 \u00f7 90 = 63 hundreds \u00f7 9 tens = 7 tens = 70<br \/>\n5400 \u00f7 90 = 54 hundreds\u00f7 9 tens = 6 ten = 60<br \/>\nSo, choose 6300 that is close to 6287 and divisible 90 that is near to 94.<\/p>\n<p>Question 12.<br \/>\n\\(\\sqrt [ 79 ]{ 6,297 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 79 ]{ 6,297 } \\) is about<\/p>\n<p>Explanation:<br \/>\nChoose the numbers those are close to 6297 and divisible by 80 that is near to 79.<br \/>\n6400 \u00f7 80 = 64 hundreds \u00f7 8 tens = 8 tens = 80<br \/>\n5600 \u00f7 80 = 56 hundreds \u00f7 8 tens = 7 tens = 70<br \/>\nSo, choose 6400 that is close to 6297 and divisible 80 that is near to 79.<\/p>\n<p>Question 13.<br \/>\nIn 1 hour, toll bridge attendants collect $4,873 from cars. About how many cars cross the bridge that hour?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15313\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.3-3.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.3 3\" width=\"179\" height=\"128\" \/><\/p>\n<p>Answer:<br \/>\nNumber of cars cross the bridge in one hour is 500 approximately.<\/p>\n<p>Explanation:<br \/>\nToll bridge attendants collection from cars in 1 hour = $4,873<br \/>\nOne car cost = $11<br \/>\nChoose the number that is near to $4,873 and divisible by 10 which is near to 11.<br \/>\n4000 \u00f7 10 = 4 thousands \u00f7 ten = 4 hundreds<br \/>\n5000 \u00f7 10 = 5 thousands \u00f7 ten = 5 hundreds<br \/>\nSo, choose 5000 which is near to 4873.<\/p>\n<p>Question 14.<br \/>\n<strong>Reasoning<\/strong><br \/>\nNewton has $415 to spend during a 15-day trip. He does not want to run out of money, so he plans to spend about the same amount each day. He estimates that the amount he can spend each day is $450 \u00f7 15 = $30 or $300 \u00f7 15 = $20. Which estimate should he choose? Explain.<\/p>\n<p>Answer:<br \/>\nNewton should choose $300 \u00f7 15 = $20.<\/p>\n<p>Explanation:<br \/>\nNewton is spending $415 each day on a 15-day trip.<br \/>\nHe can&#8217;t choose $450 \u00f7 15 = $30 plan, because here the amount spend on a day is more than 415 so if he follow this he will be run out of money at the ending days of the trip.<br \/>\nSo, he must choose $300 \u00f7 15 estimate to spend the money without issues.<\/p>\n<p>Question 15.<br \/>\n<strong>Writing<\/strong><br \/>\nWithout calculating, explain how you know whether the quotient of 176 and 62 is closer to 2 or 3.<\/p>\n<p>Answer:<br \/>\nWe can easily say that the quotient of 176 and 62 is 3. The reason is for your easy calculation, make 62 as 60 and the multiple of 60 which is nearest to 176 is 180.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nThe Eiffel Tower is about 2 times as tall as the Washington Monument. About how tall is the Washington Monument?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15314\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.3-4.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.3 4\" width=\"155\" height=\"282\" \/><br \/>\nBecause the Eiffel Tower is about 2 times as tall as the Washington Monument, estimate 1,063 \u00f7 2.<br \/>\nThink: What numbers close to 1,063 are easily divided by2?<br \/>\nUse 1,000. 10 \u00f7 2 = 5, so 1,000 \u00f7 2 = 500.<br \/>\nUse 1,200. 12 \u00f7 2 = 6, so, 1,200 \u00f7 2 = 600.<br \/>\nChoose 1,000 because 1,063 is closer to 1,000.<br \/>\nSo, the Washington Monument is about 500 feet tall.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 16.<br \/>\nThe Pacific Crest Trail is 2,650 miles long. It is about 7 times as long as the Bigfoot Trail. About how long is the Bigfoot Trail?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15315\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.3-5.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.3 5\" width=\"151\" height=\"262\" \/><\/p>\n<p>Answer:<br \/>\nThe length of bigfoot trail is about 400 miles.<\/p>\n<p>Explanation:<br \/>\nPacific Crest Trail = 7 times Bigfoot trail<br \/>\n2650 miles = 7 Bigfoot tail<br \/>\nBigfoot tail = 2650 \u00f7 7<br \/>\n2800 \u00f7 7 = 28 hundreds \u00f7 7 = 4 hundreds<br \/>\n2100 \u00f7 7 = 21 hundreds \u00f7 7 = 3 hundreds<br \/>\nSo, the length of bigfoot trail is 400 miles.<\/p>\n<p>Question 17.<br \/>\nA family spends $2,473 each year for cell phone service. About how much does the family spend each month for cell phone service?<\/p>\n<p>Answer:<br \/>\nThe amount spend by a family for cell phone service in a month is 200.<\/p>\n<p>Explanation:<br \/>\nThe amount spend by a family for cell phone service in a year = $2,473<br \/>\nThe amount spend by a family for cell phone service in a month = $2,473 \u00f7 12<br \/>\n2400 \u00f7 12 = 24 hundreds \u00f7 12 = 2 hundreds<br \/>\n3600 \u00f7 12 = 36 hundreds \u00f7 12 = 3 hundreds<br \/>\nSo, choose 2400 that is near to 2473.<\/p>\n<p>Question 18.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou have 31 days to read a book with 138 pages and another book with 160 pages. You want to read an equal number of pages each day. About how many pages do you read each day?<\/p>\n<p>Answer:<br \/>\nThe number of pages read each day are 10.<\/p>\n<p>Explanation:<br \/>\nThe total number of pages in two books = 138 + 160 = 298<br \/>\nNumber of days to read books = 31<br \/>\nIf you read an equal number of pages each day, then number of pages read in a day = 298 \u00f7 31<br \/>\nChoose the numbers near to 298 and divisible by 30 near to 31.<br \/>\n300 \u00f7 30 = 3 hundreds \u00f7 3 tens = 3 \u00f7 3 tens = 1 ten<br \/>\n270 \u00f7 30 = 27 tens \u00f7 3 tens = 9<\/p>\n<h3><a id=\"Estimate_Quotients_Homework_&amp;_Practice_6.3\"><\/a>Estimate Quotients Homework &amp; Practice 6.3<\/h3>\n<p><strong>Find two numbers that the quotient is between.<\/strong><br \/>\nQuestion 1.<br \/>\n1,306 \u00f7 3<br \/>\n1,200 \u00f7 3 = _____<br \/>\n1,500 \u00f7 3 = _____<\/p>\n<p>Answer:<br \/>\n1,306 \u00f7 3 is about 400.<br \/>\n1,200 \u00f7 3 = 12 hundreds \u00f7 3 = 4 hundreds<br \/>\n1,500 \u00f7 3 = 15 hundreds \u00f7 3 = 5 hundreds<\/p>\n<p>Explanation:<br \/>\nThe number 1200 is near to 1306.<\/p>\n<p>Question 2.<br \/>\n435 \u00f7 80<br \/>\n400 \u00f7 80 = ______<br \/>\n480 \u00f7 80 = ______<\/p>\n<p>Answer:<br \/>\n435 \u00f7 80 is about 5.<br \/>\n400 \u00f7 80 = 4 hundreds \u00f7 8 tens = 40 tens \u00f7 8 tens = 5<br \/>\n480 \u00f7 80 = 48 tens \u00f7 8 tens = 6<\/p>\n<p>Explanation:<br \/>\nNumber 400 is close to 435 and divisible by 80.<\/p>\n<p>Question 3.<br \/>\n5,691 \u00f7 68<\/p>\n<p>Answer:<br \/>\n5,691 \u00f7 68 is about 80.<\/p>\n<p>Explanation:<br \/>\nWhat numbers are closer to 5691 and divisible by 70 which is near to 68.<br \/>\n5600 \u00f7 70 = 56 hundreds \u00f7 7 tens = 8 tens<br \/>\n4900 \u00f7 70 = 49 hundreds \u00f7 7 tens = 7 tens<br \/>\nSo, choose 5600 which is near to 5691 and divisible by 70 which is near to 68.<\/p>\n<p><strong>Estimate the quotient.<\/strong><br \/>\nQuestion 4.<br \/>\n2,506 \u00f7 2<\/p>\n<p>Answer:<br \/>\n2,506 \u00f7 2 is about 1300<\/p>\n<p>Explanation:<br \/>\nWhat numbers are near to 2506, divisible by 2.<br \/>\n2400 \u00f7 2 = 24 hundreds \u00f7 2 = 12 hundreds<br \/>\n2600 \u00f7 2 = 26 hundreds \u00f7 2 = 13 hundreds<br \/>\nSo, choose 2600 which is near to 2506.<\/p>\n<p>Question 5.<br \/>\n4,392 \u00f7 88<\/p>\n<p>Answer:<br \/>\n4,392 \u00f7 88 is 50.<\/p>\n<p>Explanation:<br \/>\nWhat numbers are near to 4392 and divided by 90 near to 88.<br \/>\n4500 \u00f7 90 = 45 hundreds \u00f7 9 tens = 5 tens<br \/>\n3600 \u00f7 90 = 36 hundreds \u00f7 9 tens = 4 tens<br \/>\nSo, choose 4500 near to 4392.<\/p>\n<p>Question 6.<br \/>\n2,416 \u00f7 6<\/p>\n<p>Answer:<br \/>\n2,416 \u00f7 6 is 400.<\/p>\n<p>Explanation:<br \/>\nWhat numbers are close to 2416 and divided by 6.<br \/>\n2400 \u00f7 6 = 24 hundreds \u00f7 6 = 4 hundreds<br \/>\n3000 \u00f7 6 = 30 hundreds \u00f7 6 = 5 hundreds<br \/>\nSo, choose 2400 near to 2416.<\/p>\n<p>Question 7.<br \/>\n\\(\\sqrt [ 52 ]{ 386 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 52 ]{ 386 } \\) is 8.<\/p>\n<p>Explanation:<br \/>\nWhat numbers are near to 386 and divided by 50 which is near to 52.<br \/>\n350 \u00f7 50 = 35 tens \u00f7 5 tens = 7<br \/>\n400 \u00f7 50 = 40 tens \u00f7 5 tens = 8<br \/>\nSo choose 400 near to 386.<\/p>\n<p>Question 8.<br \/>\n\\(\\sqrt [ 21 ]{ 1,495 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 21 ]{ 1,495 } \\) is 70.<\/p>\n<p>Explanation:<br \/>\nWhat numbers are close to 1495 and divided by 21 which is near to 20.<br \/>\n1400 \u00f7 20 = 14 hundreds \u00f7 2 tens = 7 tens<br \/>\n1600 \u00f7 20 = 16 hundreds \u00f7 2 tens = 8 tens<br \/>\nSo, choose 1400 near to 1495.<\/p>\n<p>Question 9.<br \/>\n\\(\\sqrt [ 43 ]{ 3,509 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 43 ]{ 3,509 } \\) is 90.<\/p>\n<p>Explanation:<br \/>\nWhat numbers are near to 3509 and divisible by 40 near to 43.<br \/>\n3200 \u00f7 40 = 32 hundreds \u00f7 4 tens = 8 tens<br \/>\n3600 \u00f7 40 = 36 hundreds \u00f7 4 tens = 9 tens<br \/>\nSo, choose 3600 close to 3509.<\/p>\n<p>Question 10.<br \/>\nThe length of 1 year on Uranus is a little more than 84 years on Earth. About how many Uranus years are equal to 175 Earth years?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15316\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.3-6.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.3 6\" width=\"113\" height=\"112\" \/><\/p>\n<p>Answer:<br \/>\n2 Uranus years are equal to 175 earth years.<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nThe length of 1 year on Uranus is a little more than 84 years on Earth.<br \/>\n175 earth years = 175 \u00f7 84 years<br \/>\n160 \u00f7 80 = 16 tens \u00f7 8 tens = 2<br \/>\n240 \u00f7 80 = 24 tens \u00f7 8 tens = 3<br \/>\nSo, 160 is near to 175.<\/p>\n<p>Question 11.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend finds a quotient. Estimate to check whether your friend\u2019s answer is reasonable.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15317\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.3-7.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.3 7\" width=\"141\" height=\"52\" \/><\/p>\n<p>Answer:<br \/>\nYes, the answer is reasonable.<\/p>\n<p>Explanation:<br \/>\nWhat numbers are close to 1444 and divided by 76 which is near to 80.<br \/>\n1600 \u00f7 80 = 16 hundreds \u00f7 8 tens = 2 tens<br \/>\n800 \u00f7 80 = 8 hundreds \u00f7 8 tens = 1 tens<br \/>\nSo, choose 1600 near to 1444.<\/p>\n<p>Question 12.<br \/>\n<strong>Reasoning<\/strong><br \/>\nA florist has 336 roses and 28 vases. He wants to determine how many flowers he can put into each vase without any left over. Should he use an estimate or an exact answer? Explain.<\/p>\n<p>Answer:<br \/>\nHe will get an exact answer i.e in each vase there are 12 roses.<\/p>\n<p>Explanation:<br \/>\nThe florist has 336 roses and 28 vases.<br \/>\nThe number of flowers in each vase = 336 \u00f7 28 = 12<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19003\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.3-2-149x300.jpg\" alt=\"\" width=\"149\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.3-2-149x300.jpg 149w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.3-2.jpg 172w\" sizes=\"(max-width: 149px) 100vw, 149px\" \/><\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA train ride from Chicago to Emeryville, California, is 2,438 miles. It is about 8 times as long as a train ride from Chicago to PortHuron, Michigan. About how long is the train ride from Chicago to Port Huron?<\/p>\n<p>Answer:<br \/>\nThe train ride from Chicago to Port Huron is about 300 miles long.<\/p>\n<p>Explanation:<br \/>\nA train ride from Chicago to Emeryville, California = 8 x a\u00a0train ride from Chicago to PortHuron, Michigan<br \/>\n2,438 = 8 x a\u00a0train ride from Chicago to PortHuron, Michigan<br \/>\nA train ride from Chicago to PortHuron, Michigan = 2438 \u00f7 8<br \/>\nChoose the numbers close to 2438, divided by 8.<br \/>\n2400 \u00f7 8 = 24 hundreds \u00f7 8 = 3 hundreds<br \/>\n3200 \u00f7 8 = 32 hundreds \u00f7 8 = 4 hundreds<br \/>\nSo, choose 2400 is near to 2438.<\/p>\n<p>Question 14.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou are reading a book that has 784 pages. You have 18 days to read the entire book. About how many pages should you read each day?<\/p>\n<p>Answer:<br \/>\nYou can read 40 pages each day to complete the book in 18 days.<\/p>\n<p>Explanation:<br \/>\nThe number of pages of the book = 784<br \/>\nNumber days to read book = 18<br \/>\nNumber of pages should be read each day = 784 \u00f7 18<br \/>\nSelect the numbers which are near 784 and divided by 20 near 18.<br \/>\n600 \u00f7 20 = 6 hundreds \u00f7 2 tens = 3 tens<br \/>\n800 \u00f7 20 = 8 hundreds \u00f7 2 tens = 4 tens<br \/>\nSo, choose 800 which is closer to 784 and divided by 20.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Write the decimal as a fraction.<\/strong><br \/>\nQuestion 15.<br \/>\n0.61<\/p>\n<p>Answer:<br \/>\n0.61 = (61 \/ 100)<\/p>\n<p>Explanation:<br \/>\nRewrite the decimal number as a fraction having a denominator 1.<br \/>\n0.61 = 0.61 \/ 1<br \/>\nMultiply the numerator and denominator of the fraction by 100 to remove 2 decimal places.<br \/>\n( 0.61 \/ 1) x (100 \/ 100) = 61 \/ 100<\/p>\n<p>Question 16.<br \/>\n0.084<\/p>\n<p>Answer:<br \/>\n0.084 = (84 \/ 1000)<\/p>\n<p>Explanation:<br \/>\nRepresent the given decimal number as a fraction with denominator 1.<br \/>\n0.084 = 0.084 \/ 1<br \/>\nMultiply the denominator and numerator of the fraction by the same number to remove 3 decimal places. Here, you can multiply by 10\u00b3 = 1000.<br \/>\n(0.084 \/ 1) x (1000 \/ 1000) = 84 \/ 1000<\/p>\n<p>Question 17.<br \/>\n0.709<\/p>\n<p>Answer:<br \/>\n0.709 = 709 \/ 1000<\/p>\n<p>Explanation:<br \/>\nMention the given decimal number as a fraction by keeping 1 in the denominator.<br \/>\n0.709 = 0.709 \/ 1<br \/>\nMultiply the fraction to eliminate 3 decimal places. Here, you can multiply both top and bottom by 10\u00b3 = 1000.<br \/>\n(0.709 \/ 1) x (1000 \/ 1000) = (709 \/ 1000)<\/p>\n<p>Question 18.<br \/>\n0.5<\/p>\n<p>Answer:<br \/>\n0.5 = 5 \/ 10<\/p>\n<p>Explanation:<br \/>\nKeep 1 at the bottom and write the decimal number as a fraction.<br \/>\n0.5 = 0.5 \/ 1<br \/>\nMultiply both top and bottom by 10\u00b9 = 10 to eliminate the decimal places.<br \/>\n(0.5 \/ 1) x (10 \/ 10) = 5 \/ 10<\/p>\n<h3><a id=\"Lesson_6.4_Divide_by_One_Digit_Numbers\"><\/a>Lesson 6.4 Divide by One-Digit Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Complete all three models to find 248 \u00f7 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15318\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.4 1\" width=\"602\" height=\"366\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-1.png 602w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-1-300x182.png 300w\" sizes=\"(max-width: 602px) 100vw, 602px\" \/><br \/>\nAnswer:<br \/>\n248 \u00f7 8 = 31.<\/p>\n<p><strong>Structure<\/strong><br \/>\nHow would the models be the same for 3,069 \u00f7 5? How would they be different?<\/p>\n<p>Answer:<br \/>\nBy using the Estimate Quotients process, we can just find the nearest possible value of the quotient. But this model gives the exact quotient value along with the remainder.<\/p>\n<p><strong>Think and Grow: Divide by One-Digit Numbers<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 3,069 \u00f7 5. Estimate _______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15319\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-3.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.4 3\" width=\"598\" height=\"460\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-3.png 598w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-3-300x231.png 300w\" sizes=\"(max-width: 598px) 100vw, 598px\" \/><br \/>\nSo, 3,069 \u00f7 5 = 613 R 4<br \/>\nCheck: Because 613 R 4 is close to the estimate, the answer is reasonable.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Divide. Then check your answer.<\/strong><br \/>\nQuestion 1.<br \/>\n\\(\\sqrt [ 7 ]{ 86 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 7 ]{ 86 } \\) = 12 R 2<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19022\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-1.jpg\" alt=\"\" width=\"103\" height=\"252\" \/><\/p>\n<p>Question 2.<br \/>\n\\(\\sqrt [ 4 ]{ 3,212 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 4 ]{ 3,212 } \\) = 803 R 0<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19024\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-2-119x300.jpg\" alt=\"\" width=\"119\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-2-119x300.jpg 119w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-2.jpg 173w\" sizes=\"(max-width: 119px) 100vw, 119px\" \/><\/p>\n<p>Question 3.<br \/>\n\\(\\sqrt [ 6 ]{ 1,759 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 6 ]{ 1,759 } \\) = 293 R 1<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19025\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-3-121x300.jpg\" alt=\"\" width=\"121\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-3-121x300.jpg 121w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-3.jpg 174w\" sizes=\"(max-width: 121px) 100vw, 121px\" \/><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Divide. Then check your answer.<\/strong><br \/>\nQuestion 4.<br \/>\n\\(\\sqrt [ 3 ]{ 4,185 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 3 ]{ 4,185 } \\) = 1605 R 0<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19026\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-4-113x300.jpg\" alt=\"\" width=\"113\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-4-113x300.jpg 113w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-4.jpg 162w\" sizes=\"(max-width: 113px) 100vw, 113px\" \/><\/p>\n<p>Question 5.<br \/>\n\\(\\sqrt [ 6 ]{ 730 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 6 ]{ 730 } \\) = 121 R 4<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19027\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-5-130x300.jpg\" alt=\"\" width=\"130\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-5-130x300.jpg 130w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-5.jpg 148w\" sizes=\"(max-width: 130px) 100vw, 130px\" \/><\/p>\n<p>Question 6.<br \/>\n\\(\\sqrt [ 8 ]{ 7,106 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 8 ]{ 7,106 } \\) = 888 R 2<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19028\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-6-119x300.jpg\" alt=\"\" width=\"119\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-6-119x300.jpg 119w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-6.jpg 170w\" sizes=\"(max-width: 119px) 100vw, 119px\" \/><\/p>\n<p>Question 7.<br \/>\n824 \u00f7 4 = ______<\/p>\n<p>Answer:<br \/>\n824 \u00f7 4 = 206 R 0<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19031\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-7-115x300.jpg\" alt=\"\" width=\"115\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-7-115x300.jpg 115w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-7.jpg 133w\" sizes=\"(max-width: 115px) 100vw, 115px\" \/><\/p>\n<p>Question 8.<br \/>\n4,526 \u00f7 2 = ______<\/p>\n<p>Answer:<br \/>\n4,526 \u00f7 2 = 2263<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19030\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-8-127x300.jpg\" alt=\"\" width=\"127\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-8-127x300.jpg 127w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-8.jpg 180w\" sizes=\"(max-width: 127px) 100vw, 127px\" \/><\/p>\n<p>Question 9.<br \/>\n9,364 \u00f7 9 = _______<\/p>\n<p>Answer:<br \/>\n9,364 \u00f7 9 = 1040 R 9<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19032\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-9-132x300.jpg\" alt=\"\" width=\"132\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-9-132x300.jpg 132w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-9.jpg 189w\" sizes=\"(max-width: 132px) 100vw, 132px\" \/><\/p>\n<p>Question 10.<br \/>\nYour cousin babysits for 5 days and earns a total of $375. How much money does your cousin earn each day?<\/p>\n<p>Answer:<br \/>\nYour cousin earns $75 on babysits daily.<\/p>\n<p>Explanation:<br \/>\nCousin earnings on babysits = $375<br \/>\nNumber of days cousin babysits = 5<br \/>\nAmount she earns each day = $375 \u00f7 5 = $75<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19033\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-10-123x300.jpg\" alt=\"\" width=\"123\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-10-123x300.jpg 123w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-10.jpg 143w\" sizes=\"(max-width: 123px) 100vw, 123px\" \/><\/p>\n<p>Question 11.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWithout calculating, determine whether you place the first digit of the quotient in the hundreds place or the thousands place. Explain.<br \/>\n6,529 \u00f7 8<\/p>\n<p>Answer:<br \/>\nI will place the first digit of the quotient on the hundreds place.<br \/>\n6,529 \u00f7 8 = 816 R 1<\/p>\n<p>Explanation:<br \/>\nGenerally, we place the quotients on the top of the dividend one by one. Here, we can easily say that we are putting the first digit of the quotient on hundreds of places by seeing the numbers. The strategy here is if the first digit of the divided is greater than the divisor, then the quotient will have (dividend &#8211; 1) numbers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19035\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-11-122x300.jpg\" alt=\"\" width=\"122\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-11-122x300.jpg 122w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-11.jpg 172w\" sizes=\"(max-width: 122px) 100vw, 122px\" \/><\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nComplete the multiplication problem to check the division work. Then use the word cards to label each part of the multiplication problem.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15320\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-4.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.4 4\" width=\"586\" height=\"187\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-4.png 586w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-4-300x96.png 300w\" sizes=\"(max-width: 586px) 100vw, 586px\" \/><\/p>\n<p>Answer:<br \/>\ndividend = divisor \u00d7 quotient + remainder<br \/>\n520 = 7 x 74 + 2<br \/>\n= 518 + 2<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19037\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-13.jpg\" alt=\"\" width=\"164\" height=\"196\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19039\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-14.jpg\" alt=\"\" width=\"196\" height=\"202\" \/><\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nThere are 118 elements in the periodic table. There are 6 groups of students in a class. Each group is assigned about the same number of elements to study. How many elements does each group study?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15321\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-5.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.4 5\" width=\"249\" height=\"143\" \/><br \/>\nDivide 118 by 6 to find how many elements each group studies.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15322\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-6.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.4 6\" width=\"319\" height=\"150\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-6.png 319w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-6-300x141.png 300w\" sizes=\"(max-width: 319px) 100vw, 319px\" \/><br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 19. So, each group studies at least 19 elements.<br \/>\nThe remainder is 4. There are 4 elements not assigned to a group.<br \/>\nSo, 6 groups must study 1 more element.<br \/>\nSubtract to find how many groups study 19 elements. 6 \u2212 2 = 4<br \/>\nSo, 2 groups study 21 elements, and 4 groups study 19 elements.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 13.<br \/>\nA total of 243 students take a field trip on 5 buses. Each bus must have about the same number of students. How many students must ride on each bus?<\/p>\n<p>Answer:<br \/>\nAt least 48 students must ride on each bus.<\/p>\n<p>Explanation:<br \/>\nDivide 243 by 5 to get how many students must ride on each bus.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19045\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-15-114x300.jpg\" alt=\"\" width=\"114\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-15-114x300.jpg 114w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-15.jpg 129w\" sizes=\"(max-width: 114px) 100vw, 114px\" \/><br \/>\nThe quotient is 48. So, each bus has at least 48 students.<br \/>\nThe remainder is 3. There are 3 students who are not on buses.<br \/>\nSubtract to find how many buses have 48 students. 5 &#8211; 3 = 2<br \/>\nSo, 3 buses have 147, and 2 buses have 96 students.<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe boiling point of tungsten is 5,660 degrees Celsius. This is 160 degrees hotter than 2 times the boiling point of iron. What is the boiling point of iron?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15323\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-7.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.4 7\" width=\"197\" height=\"231\" \/><br \/>\nAnswer:<br \/>\nThe boiling point of iron is 2750 degrees Celsius.<\/p>\n<p>Explanation:<br \/>\nThe boiling point of tungsten = 5660 degrees Celsius<br \/>\n= 160 degrees + 2 times the boiling point of the iron.<br \/>\n2 times the boiling point of the iron = 5660 &#8211; 160 = 5500<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19047\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-16.jpg\" alt=\"\" width=\"159\" height=\"141\" \/><br \/>\nThus boiling point of the iron = 5500 \u00f7 2<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19048\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-17-111x300.jpg\" alt=\"\" width=\"111\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-17-111x300.jpg 111w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-17.jpg 156w\" sizes=\"(max-width: 111px) 100vw, 111px\" \/><br \/>\nSo, the boiling point of the iron = 2750 degrees Celsius.<\/p>\n<h3><a id=\"Divide_by_One_Digit_Numbers_Homework_&amp;_Practice_6.4\"><\/a>Divide by One-Digit Numbers Homework &amp; Practice 6.4<\/h3>\n<p><strong>Divide. Then Check your answer.<\/strong><br \/>\nQuestion 1.<br \/>\n\\(\\sqrt [ 6 ]{ 834 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 6 ]{ 834 } \\) = 139 R 0<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19036\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-12-127x300.jpg\" alt=\"\" width=\"127\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-12-127x300.jpg 127w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-12.jpg 145w\" sizes=\"(max-width: 127px) 100vw, 127px\" \/><\/p>\n<p>Question 2.<br \/>\n\\(\\sqrt [ 4 ]{ 881 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 4 ]{ 881 } \\) = 220 R 1<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19053\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-19-115x300.jpg\" alt=\"\" width=\"115\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-19-115x300.jpg 115w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-19.jpg 132w\" sizes=\"(max-width: 115px) 100vw, 115px\" \/><\/p>\n<p>Question 3.<br \/>\n\\(\\sqrt [ 2 ]{ 4,135 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 2 ]{ 4,135 } \\) = 2067 R 1<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19054\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-20-119x300.jpg\" alt=\"\" width=\"119\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-20-119x300.jpg 119w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-20.jpg 170w\" sizes=\"(max-width: 119px) 100vw, 119px\" \/><\/p>\n<p>Question 4.<br \/>\n215 \u00f7 7 = ______<\/p>\n<p>Answer:<br \/>\n215 \u00f7 7 = 30 R 5<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19055\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-21-121x300.jpg\" alt=\"\" width=\"121\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-21-121x300.jpg 121w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-21.jpg 138w\" sizes=\"(max-width: 121px) 100vw, 121px\" \/><\/p>\n<p>Question 5.<br \/>\n6,517 \u00f7 4 = _____<\/p>\n<p>Answer:<br \/>\n6,517 \u00f7 4 = 1629 R 1<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19056\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-22-114x300.jpg\" alt=\"\" width=\"114\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-22-114x300.jpg 114w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-22.jpg 164w\" sizes=\"(max-width: 114px) 100vw, 114px\" \/><\/p>\n<p>Question 6.<br \/>\n3,155 \u00f7 5 = _____<\/p>\n<p>Answer:<br \/>\n3,155 \u00f7 5 = 631<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19057\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-23-122x300.jpg\" alt=\"\" width=\"122\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-23-122x300.jpg 122w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-23.jpg 172w\" sizes=\"(max-width: 122px) 100vw, 122px\" \/><\/p>\n<p>Question 7.<br \/>\nYour friend makes care packages with 9 items in each package. She has 1,350 items. How many care packages can she make?<\/p>\n<p>Answer:<br \/>\nYour friend can make 150 care packages.<\/p>\n<p>Explanation:<br \/>\nDivide 1350 by 9 to get the number of care packages made by your friend.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19063\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-115x300.jpg\" alt=\"\" width=\"115\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-115x300.jpg 115w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4.jpg 165w\" sizes=\"(max-width: 115px) 100vw, 115px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19058\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-24-120x300.jpg\" alt=\"\" width=\"120\" height=\"300\" \/>So, 150 care packages made by your friend.<\/p>\n<p>Question 8.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWhat is the dividend when the divisor is 8 and the quotient is 96 with remainder 3? Explain how you found the dividend.<\/p>\n<p>Answer:<br \/>\nThe dividend is 771.<\/p>\n<p>Explanation:<br \/>\nDividend = Divisor \u00d7 Quotient + Remainder<br \/>\nDividend = 8 x 96 + 3<br \/>\n= 768 + 3 = 771<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19065\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-26-300x181.jpg\" alt=\"\" width=\"300\" height=\"181\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-26-300x181.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-26.jpg 331w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19068\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-27.jpg\" alt=\"\" width=\"182\" height=\"198\" \/><\/p>\n<p>Question 9.<br \/>\n<strong>Reasoning<\/strong><br \/>\nYour friend says the quotient of 3,627 and 9 is 43. Is your friend\u2019s answer reasonable? Explain.<\/p>\n<p>Answer:<br \/>\nNot reasonable. why because, when we divide 3627 by 9, we can see the quotient as 403 and the remainder 0.<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19069\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-28-113x300.jpg\" alt=\"\" width=\"113\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-28-113x300.jpg 113w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-28.jpg 161w\" sizes=\"(max-width: 113px) 100vw, 113px\" \/><br \/>\nWe can see that the quotient of 3627 by 9 is 403. So, it is not reasonable.<\/p>\n<p>Question 10.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nChoose two numbers to write a division expression that has the greatest quotient. Then evaluate.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15324\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-8.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.4 8\" width=\"135\" height=\"139\" \/><\/p>\n<p>Answer:<br \/>\n5004 \u00f7 2 = 2502 is the division expression that has the greatest quotient.<\/p>\n<p>Explanation:<br \/>\n5004 \u00f7 2 = 2502<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19075\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-29-115x300.jpg\" alt=\"\" width=\"115\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-29-115x300.jpg 115w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-29.jpg 166w\" sizes=\"(max-width: 115px) 100vw, 115px\" \/><br \/>\n2400 \u00f7 6 = 400<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19076\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-30-116x300.jpg\" alt=\"\" width=\"116\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-30-116x300.jpg 116w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-30.jpg 168w\" sizes=\"(max-width: 116px) 100vw, 116px\" \/><br \/>\n6378 \u00f7 3 = 2126<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19078\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-31-121x300.jpg\" alt=\"\" width=\"121\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-31-121x300.jpg 121w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-31.jpg 174w\" sizes=\"(max-width: 121px) 100vw, 121px\" \/><br \/>\nOut of all 5004 \u00f7 2 has the greatest quotient.<\/p>\n<p>Question 11.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA principal invites 138 students to a reward breakfast. Nine students sit at each table. How many tables are there?<\/p>\n<p>Answer:<br \/>\nThere are 15 tables.<\/p>\n<p>Explanation:<br \/>\nDivide 138 by 9 to find how many tables are there.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19083\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-32-116x300.jpg\" alt=\"\" width=\"116\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-32-116x300.jpg 116w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-32.jpg 133w\" sizes=\"(max-width: 116px) 100vw, 116px\" \/><br \/>\nThere are 15 tables.<\/p>\n<p>Question 12.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA class makes origami cubes. Each cube requires 6 sheets of paper. The class makes as many cubes as possible with 550 sheets of paper. How many more sheets of paper does the class need to make one more cube?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15325\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-9.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.4 9\" width=\"147\" height=\"154\" \/><\/p>\n<p>Answer:<br \/>\n2 more sheets are needed to make one more cube.<\/p>\n<p>Explanation:<br \/>\nDivide 550 by 6 to get how many more sheets of paper does the class need to make one more cube.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19085\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-33-115x300.jpg\" alt=\"\" width=\"115\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-33-115x300.jpg 115w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.4-33.jpg 133w\" sizes=\"(max-width: 115px) 100vw, 115px\" \/><br \/>\nThe remainder is 4. So, 2 more sheets of paper are required to make one more cube.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Estimate the product.<\/strong><br \/>\nQuestion 13.<br \/>\n0.9 \u00d7 82<\/p>\n<p>Answer:<br \/>\n0.9 \u00d7 82 = 80<\/p>\n<p>Explanation:<br \/>\nTo multiply the numbers, round them to the nearest greatest value.<br \/>\n0.9 x 82 = 1 x 80<br \/>\n= 1 x 8 tens = 8 tens<\/p>\n<p>Question 14.<br \/>\n36 \u00d7 2.71<\/p>\n<p>Answer:<br \/>\n36 \u00d7 2.71 = 120<\/p>\n<p>Explanation:<br \/>\n36 \u00d7 2.71 = 40 x 3 = 4 tens x 3<br \/>\n= 12 tens = 120<\/p>\n<h3><a id=\"Lesson_6.5_Use_Partial_Quotients_to_Divide_by_Two_Digit_Numbers\"><\/a>Lesson 6.5 Use Partial Quotients to Divide by Two-Digit Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>How can you use an area model to find 168 \u00f7 14?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15326\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 1\" width=\"273\" height=\"272\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-1.png 273w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-1-150x150.png 150w\" sizes=\"(max-width: 273px) 100vw, 273px\" \/><\/p>\n<p>Answer:<br \/>\n168 \u00f7 14 = 12<\/p>\n<p>Explanation:<br \/>\n168 = 140 + 28<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19234\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-2-300x130.jpg\" alt=\"\" width=\"300\" height=\"130\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-2-300x130.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-2.jpg 504w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nArea = 168 sq units<br \/>\nso, 168 \u00f7 14 = 12<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nExplain how your model shows the quotient.<br \/>\nAnswer:<\/p>\n<p><strong>Think and Grow: Use Partial Quotients to Divide<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nUse an area model and partial quotients to find 180\u00f7 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15327\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-2.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 2\" width=\"571\" height=\"190\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-2.png 571w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-2-300x100.png 300w\" sizes=\"(max-width: 571px) 100vw, 571px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nUse an area model and partial quotients to find 396 \u00f7 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15328\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-3.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 3\" width=\"579\" height=\"202\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-3.png 579w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-3-300x105.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Use an area model and partial quotients to divide.<\/strong><br \/>\nQuestion 1.<br \/>\n176 \u00f7 16 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15329\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-4.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 4\" width=\"256\" height=\"262\" \/><\/p>\n<p>Answer:<br \/>\n176 \u00f7 16 = 11<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19305\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-3-137x300.jpg\" alt=\"\" width=\"137\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-3-137x300.jpg 137w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-3.jpg 160w\" sizes=\"(max-width: 137px) 100vw, 137px\" \/><br \/>\nPartial quotients 10 + 1 = 11<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19373\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-4-300x144.jpg\" alt=\"\" width=\"300\" height=\"144\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-4-300x144.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-4.jpg 539w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nArea = 160 + 16 = 176<br \/>\nSo, 176 \u00f7 16 = 11<\/p>\n<p>Question 2.<br \/>\n182 \u00f7 13 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15330\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-5.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 5\" width=\"277\" height=\"268\" \/><\/p>\n<p>Answer:<br \/>\n182 \u00f7 13 = 14<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19416\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-5-148x300.jpg\" alt=\"\" width=\"148\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-5-148x300.jpg 148w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-5.jpg 170w\" sizes=\"(max-width: 148px) 100vw, 148px\" \/><br \/>\nPartial Quotients = 10 + 4 = 14<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19417\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-6-300x143.jpg\" alt=\"\" width=\"300\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-6-300x143.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-6.jpg 500w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nArea = 130 + 52 = 182<br \/>\nSo, 182 \u00f7 13 = 14<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Use an area model and partial quotients to divide.<\/strong><br \/>\nQuestion 3.<br \/>\n154 \u00f7 14 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15331\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-6.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 6\" width=\"260\" height=\"263\" \/><\/p>\n<p>Answer:<br \/>\n154 \u00f7 14 = 11<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19419\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-7-152x300.jpg\" alt=\"\" width=\"152\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-7-152x300.jpg 152w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-7.jpg 175w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><br \/>\nPartial Quotient = 10 + 1 = 11<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19420\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-8-300x145.jpg\" alt=\"\" width=\"300\" height=\"145\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-8-300x145.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-8.jpg 501w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nArea = 140 + 14 = 154<br \/>\nSo, 154 \u00f7 14 = 11.<\/p>\n<p>Question 4.<br \/>\n224 \u00f7 16 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15332\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-7.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 7\" width=\"260\" height=\"267\" \/><\/p>\n<p>Answer:<br \/>\n224 \u00f7 16 = 14<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19421\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-9-138x300.jpg\" alt=\"\" width=\"138\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-9-138x300.jpg 138w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-9.jpg 156w\" sizes=\"(max-width: 138px) 100vw, 138px\" \/><br \/>\nPartial quotients = 10 + 4 = 14<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19422\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-10-300x138.jpg\" alt=\"\" width=\"300\" height=\"138\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-10-300x138.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-10.jpg 542w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nArea = 160 + 64 = 224<br \/>\nso, 224 \u00f7 16 = 14.<\/p>\n<p><strong>Use partial quotients to divide.<\/strong><br \/>\nQuestion 5.<br \/>\n204 \u00f7 17<\/p>\n<p>Answer:<br \/>\n204 \u00f7 17 = 12<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19423\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-11-300x133.jpg\" alt=\"\" width=\"300\" height=\"133\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-11-300x133.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-11.jpg 527w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nArea = 170 + 34 = 204<br \/>\nSo, 204 \u00f7 17 = 10 + 2 = 12<\/p>\n<p>Question 6.<br \/>\n225 \u00f7 15<\/p>\n<p>Answer:<br \/>\n225 \u00f7 15 = 15<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19424\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-12-300x124.jpg\" alt=\"\" width=\"300\" height=\"124\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-12-300x124.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-12.jpg 523w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nArea = 150 + 75 = 225<br \/>\nSo, 225 \u00f7 15 = 10 + 5 = 15<\/p>\n<p>Question 7.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain why there is more than one way to draw an area model to find a quotient.<\/p>\n<p>Answer:<br \/>\nArea model or box model is a rectangular diagram used for division or multiplication problems. Here the quotient or factors and divisor define the length and width of the rectangle. You can break the area of a rectangle into several smaller boxes using number bonds to make calculations easier. So, there are several ways to draw an areal model to find the quotient.<\/p>\n<p>Question 8.<br \/>\nA puma jumps 132 inches up onto a rock. How many feet does the puma jump?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15333\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-8.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 8\" width=\"101\" height=\"186\" \/><\/p>\n<p>Answer:<br \/>\n11 foot the puma jumps up on the rock.<\/p>\n<p>Explanation:<br \/>\nWe already know that 1 foot = 12 inches<br \/>\nDivide 132 \u00f7 12 to get how many feet does the puma jump.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19425\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-13-300x127.jpg\" alt=\"\" width=\"300\" height=\"127\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-13-300x127.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-13.jpg 566w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nArea = 120 + 12 = 132<br \/>\nSo, 132 \u00f7 12 = 10 + 1 = 11<\/p>\n<p>Question 9.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWrite two related division equations represented by the model.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15334\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-9.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 9\" width=\"171\" height=\"129\" \/><\/p>\n<p>Answer:<br \/>\n160 \u00f7 16, 112 \u00f7 16.<\/p>\n<p>Explanation:<br \/>\nAdd the first column and second columns separately to get the dividends of the division equation. And the width of the rectangle is the divisor of the division equations.<br \/>\nSo, first equation is (100 + 60) \u00f7 16 = 160 \u00f7 16<br \/>\nSecond equation is (70 + 42) \u00f7 16 = 112 \u00f7 16<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA zookeeper cleans the rectangular floor of a baboon enclosure. The floor of the enclosure has an area of 156 square feet and a width of 12 feet. What is the length of the enclosure?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15335\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-10.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 10\" width=\"131\" height=\"173\" \/><br \/>\nUse the area of a rectangle formula. Write the related division equation to find the length of the enclosure.<br \/>\n\u2113 \u00d7 w = A Area formula<br \/>\n\u2113 \u00d7 12 = 156<br \/>\n156 \u00f7 12 = \u2113<br \/>\nUse an area model and partial quotients to find 156 \u00f7 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15336\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-11.1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 11.1\" width=\"552\" height=\"200\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-11.1.png 552w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-11.1-300x109.png 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><br \/>\nSo, the length of the enclosure is 10 + 3 = 13.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 10.<br \/>\nA bakery owner tiles the rectangular floor. What is the length of the floor?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15337\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-11.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 11\" width=\"235\" height=\"189\" \/><\/p>\n<p>Answer:<br \/>\nThe length of the rectangular floor is 18 feet.<\/p>\n<p>Explanation:<br \/>\nLength x Width = Area<br \/>\nl x 16 = 288<br \/>\nl = 288 \u00f7 16<br \/>\nHere, we are using partial quotients to find 288 \u00f7 16<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19426\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-14-151x300.jpg\" alt=\"\" width=\"151\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-14-151x300.jpg 151w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-14.jpg 172w\" sizes=\"(max-width: 151px) 100vw, 151px\" \/><br \/>\nSo, 288 \u00f7 16 = 10 + 8 = 18<\/p>\n<p>Question 11.<br \/>\nThere are 176 fifth graders and 198 sixth graders signed up for soccer. Each soccer team has 11 players. How many more sixth-grade teams are there than fifth-grade teams?<\/p>\n<p>Answer:<br \/>\nNumber of fifth-grade teams = 16<br \/>\nNumber of six-grade teams = 18<br \/>\nSo, 18 &#8211; 16 = 2 sixth-grade teams are more than fifth-grade teams.<\/p>\n<p>Explanation:<br \/>\nNumber of fifth-grade teams = 176 \u00f7 11<br \/>\nUsing the area model to find 176 \u00f7 11<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19431\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-15-300x132.jpg\" alt=\"\" width=\"300\" height=\"132\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-15-300x132.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-15.jpg 494w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nArea = 110 + 66 = 176<br \/>\nSo, 176 \u00f7 11 = 10 + 6 = 16<br \/>\nNumber of six-grade teams = 198 \u00f7 11<br \/>\nUsing partial quotients to find 198 \u00f7 11<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19432\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-16-143x300.jpg\" alt=\"\" width=\"143\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-16-143x300.jpg 143w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-16.jpg 163w\" sizes=\"(max-width: 143px) 100vw, 143px\" \/><br \/>\nSo, 198 \u00f7 11 = 10 + 8 = 18<br \/>\nTherefore, 18 &#8211; 16 = 2 sixth-grade teams are more than fifth-grade teams.<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nNewton earns $195 for working 15 hours as a radio host. How much money does Newton earn in 3 hours?<\/p>\n<p>Answer:<br \/>\nNewton can earn $39 in 3 hours for working as a radio host.<\/p>\n<p>Explanation:<br \/>\nDivide 195 \u00f7 15 to get how much money does newton earn in one hour.<br \/>\nUse the area model to find 195 \u00f7 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19433\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-17-300x117.jpg\" alt=\"\" width=\"300\" height=\"117\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-17-300x117.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-17.jpg 527w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nArea = 150 + 45 = 195<br \/>\nSo, 195 \u00f7 15 = 10 + 3 = 13<br \/>\nNewton earns $13 in one hour.<br \/>\nSo, the money earned in 3 hours = 13 x 3 = $39<\/p>\n<h3><a id=\"Use_Partial_Quotients_to_Divide_by_Two_Digit_Numbers_Homework_&amp;_Practice_6.5\"><\/a>Use Partial Quotients to Divide by Two-Digit Numbers Homework &amp; Practice 6.5<\/h3>\n<p><strong>Use an area model and partial quotients to divide.<\/strong><br \/>\nQuestion 1.<br \/>\n165 \u00f7 11 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15338\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-12.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 12\" width=\"246\" height=\"273\" \/><\/p>\n<p>Answer:<br \/>\n165 \u00f7 11 = 55<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19434\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-18-300x119.jpg\" alt=\"\" width=\"300\" height=\"119\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-18-300x119.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-18.jpg 544w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nArea = 110 + 55 = 165<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19438\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-20-152x300.jpg\" alt=\"\" width=\"152\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-20-152x300.jpg 152w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-20.jpg 172w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><br \/>\nPartial Quotients = 10 + 5 = 15<br \/>\nSo, 165 \u00f7 11 = 55<\/p>\n<p>Question 2.<br \/>\n192 \u00f7 12 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15339\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-13.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 13\" width=\"295\" height=\"290\" \/><\/p>\n<p>Answer:<br \/>\n192 \u00f7 12 = 16<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19435\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-19-300x116.jpg\" alt=\"\" width=\"300\" height=\"116\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-19-300x116.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-19.jpg 585w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nArea = 120 + 72 = 192<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19439\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-21-144x300.jpg\" alt=\"\" width=\"144\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-21-144x300.jpg 144w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-21.jpg 166w\" sizes=\"(max-width: 144px) 100vw, 144px\" \/><br \/>\nPartial Quotients = 10 + 6 = 16<br \/>\nSo, 192 \u00f7 12 = 16<\/p>\n<p><strong>Use partial products to divide.<\/strong><br \/>\nQuestion 3.<br \/>\n156 \u00f7 13<\/p>\n<p>Answer:<br \/>\n156 \u00f7 13 = 12<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19440\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-22-152x300.jpg\" alt=\"\" width=\"152\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-22-152x300.jpg 152w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-22.jpg 172w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><br \/>\nPartial Quotients = 10 + 2 = 12<br \/>\nSo, 156 \u00f7 13 = 12<\/p>\n<p>Question 4.<br \/>\n121 \u00f7 11<\/p>\n<p>Answer:<br \/>\n121 \u00f7 11 = 11<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19441\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-23-153x300.jpg\" alt=\"\" width=\"153\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-23-153x300.jpg 153w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-23.jpg 177w\" sizes=\"(max-width: 153px) 100vw, 153px\" \/><br \/>\nPartial Quotients = 10 + 1 = 11<br \/>\nSo, 121 \u00f7 11 = 11.<\/p>\n<p>Question 5.<br \/>\nThere are 143 players in a football league. The director divides the players into13 teams. How many players are on each team?<\/p>\n<p>Answer:<br \/>\nThere are 11 players on each team.<\/p>\n<p>Explanation:<br \/>\nDivide 143 \u00f7 13 to get the number of players on each team.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19442\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-24-141x300.jpg\" alt=\"\" width=\"141\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-24-141x300.jpg 141w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-24.jpg 164w\" sizes=\"(max-width: 141px) 100vw, 141px\" \/><br \/>\nPartial Quotients = 10 + 1 = 11<br \/>\nSo, 143 \u00f7 13 = 11<\/p>\n<p>Question 6.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nWrite a division expression that has a 3-digit dividend, a divisor between 15 and 20, and no remainder. Use base ten blocks to find the quotient.<\/p>\n<p>Answer:<br \/>\n112 \u00f7 16 = 7.<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19444\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-23-1-300x104.jpg\" alt=\"\" width=\"300\" height=\"104\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-23-1-300x104.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-23-1-768x265.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-23-1.jpg 779w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nThe value of each block is written there.<\/p>\n<p>Question 7.<br \/>\n<strong>Structure<\/strong><br \/>\nNewton finds 506 \u00f7 22. Explain how his steps change if he uses 20 as the first partial quotient.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15340\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-14.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 14\" width=\"228\" height=\"189\" \/><\/p>\n<p>Answer:<br \/>\nIf he uses 20 x 22 = 440 as the first partial quotient. Then 506 &#8211; 440 = 66. And the second partial quotient will be 22 x 3 = 66. Then 66 &#8211; 66 = 0. So the remainder is 0. Partial quotients = 20 + 3 = 23.<\/p>\n<p>Question 8.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA rectangular Olympic gymnastics floor has an area of 144 square meters. What is the length of the floor?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15341\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-15.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.5 15\" width=\"195\" height=\"147\" \/><\/p>\n<p>Answer:<br \/>\nThe length of the floor is 12 m.<\/p>\n<p>Explanation:<br \/>\nl x w = A<br \/>\nl x 12 = 144<br \/>\nl = 144 \u00f7 12<br \/>\nUsing the area model, find 144 \u00f7 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19446\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-26-300x125.jpg\" alt=\"\" width=\"300\" height=\"125\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-26-300x125.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-26.jpg 493w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nArea = 120 + 24 = 144<br \/>\nSo, 144 \u00f7 12 = 10 + 2 = 12.<\/p>\n<p>Question 9.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA vending machine worker has 78 bags of cherry fruit snacks and 91 bags of strawberry fruit snacks. Each row of the vending machine holds 13 items from front to back. How many rows does the worker fill with fruit snacks?<\/p>\n<p>Answer:<br \/>\nThe worker fills the fruit snacks on 13 rows.<\/p>\n<p>Explanation:<br \/>\nThe total number of fruit bags = 78 + 91 = 169<br \/>\nDivide 169 \u00f7 13 to get how many rows does the worker fill with fruit snacks.<br \/>\nUse the area model to calculate 169 \u00f7 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19449\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-27-300x114.jpg\" alt=\"\" width=\"300\" height=\"114\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-27-300x114.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-27.jpg 554w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nArea = 130 + 39 = 169<br \/>\nSo, 169 \u00f7 13 = 10 + 3 = 13<br \/>\nSo, the worker fills the fruit snacks on 13 rows.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Evaluate the expression.<\/strong><\/p>\n<p>Question 10.<br \/>\n24 \u00f7 (6 + 2) + 14<\/p>\n<p>Answer:<br \/>\n24 \u00f7 (6 + 2) + 14 = 17<\/p>\n<p>Explanation:<br \/>\n24 \u00f7 (6 + 2) + 14 = 24 \u00f7 8 + 14<br \/>\n24 \u00f7 8 = 3<br \/>\n3 + 14 = 17<\/p>\n<p>Question 11.<br \/>\n5 + 10 \u00d7 7 &#8211; 9<\/p>\n<p>Answer:<br \/>\n5 + 10 \u00d7 7 &#8211; 9 = 66<\/p>\n<p>Explanation:<br \/>\nBased on the arithmetical operator included between the numbers, it has given some preference to evaluate first.<br \/>\n5 + 10 \u00d7 7 &#8211; 9 = 5 + (10 x 7) &#8211; 9<br \/>\n= (5 + 70) &#8211; 9<br \/>\n= 75 &#8211; 9 = 66.<\/p>\n<p>Question 12.<br \/>\n(135 + 96 + 165) \u00d7 10<\/p>\n<p>Answer:<br \/>\n(135 + 96 + 165) \u00d7 10 = 3960<\/p>\n<p>Explanation:<br \/>\n(135 + 96 + 165) \u00d7 10 = 396 x 10 = 3960<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19451\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.5-28.jpg\" alt=\"\" width=\"186\" height=\"249\" \/><\/p>\n<h3><a id=\"Lesson_6.6_Use_Partial_Quotients_with_a_Remainder\"><\/a>Lesson 6.6 Use Partial Quotients with a Remainder<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use an area model to find 240 \u00f7 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15342\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.6 1\" width=\"293\" height=\"297\" \/><\/p>\n<p>Answer:<br \/>\n240 \u00f7 15 = 16.<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19452\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-1-300x145.jpg\" alt=\"\" width=\"300\" height=\"145\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-1-300x145.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-1.jpg 485w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nArea = 150 + 90 = 240<br \/>\nSo, 240 \u00f7 15 = 10 + 6 = 16<\/p>\n<p>Can you use an area model to find 190 \u00f7 15? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15343\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-2.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.6 2\" width=\"296\" height=\"292\" \/><\/p>\n<p>Answer:<br \/>\nWe can&#8217;t use the area model to find 190 \u00f7 15. Why because 15 does not divide evenly into 190.<\/p>\n<p><strong>Construct Arguments<\/strong><br \/>\nExplain to your partner how you know that 15 does not divide evenly into 190.<\/p>\n<p>Answer:<br \/>\nFirst, we need to find the first partial quotient i.e 15 x 10 = 150. Then 190 &#8211; 150 = 40. 40 is not divisible by 15. So, we can say that 15 does not divide evenly into 190.<\/p>\n<p><strong>Think and Grow: Use Partial Quotients<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nUse an area model and partial quotients to find 475 \u00f7 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15344\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-3.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.6 3\" width=\"620\" height=\"218\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-3.png 620w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-3-300x105.png 300w\" sizes=\"(max-width: 620px) 100vw, 620px\" \/><\/p>\n<p>Answer:<br \/>\n475 \u00f7 19 = 10 + 10 + 5 = 25<\/p>\n<p><strong>Example<\/strong><br \/>\nUse partial quotients to find 1,890 \u00f7 52.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15345\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-4.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.6 4\" width=\"624\" height=\"282\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-4.png 624w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-4-300x136.png 300w\" sizes=\"(max-width: 624px) 100vw, 624px\" \/><\/p>\n<p>Answer:<\/p>\n<p>1,890 \u00f7 52 = (20 + 10 + 6) R 18 = 36 R 18.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Use partial quotients to divide.<\/strong><br \/>\nQuestion 1.<br \/>\n523 \u00f7 41 = _____ R ____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15346\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-5.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.6 5\" width=\"279\" height=\"135\" \/><\/p>\n<p>Answer:<br \/>\n523 \u00f7 41 = 12 R 31.<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19455\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-2-138x300.jpg\" alt=\"\" width=\"138\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-2-138x300.jpg 138w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-2.jpg 162w\" sizes=\"(max-width: 138px) 100vw, 138px\" \/><br \/>\nPartial quotient = 10 + 2 = 12<br \/>\nSo, 523 \u00f7 41 = 12 R 31<\/p>\n<p>Question 2.<br \/>\n2,760 \u00f7 87 = ____ R ____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15347\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-6.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.6 6\" width=\"323\" height=\"189\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-6.png 323w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-6-300x176.png 300w\" sizes=\"(max-width: 323px) 100vw, 323px\" \/><\/p>\n<p>Answer:<br \/>\n2,760 \u00f7 87 = 31 R 63<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19458\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-3-133x300.jpg\" alt=\"\" width=\"133\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-3-133x300.jpg 133w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-3.jpg 190w\" sizes=\"(max-width: 133px) 100vw, 133px\" \/><br \/>\nPartial quotient = 30 + 1 = 31<br \/>\nSo, 2,760 \u00f7 87 = 31 R 63<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Use partial quotients to divide.<\/strong><br \/>\nQuestion 3.<br \/>\n\\(\\sqrt [ 28 ]{ 476 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 28 ]{ 476 } \\) = 17 R 28<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19457\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-4-138x300.jpg\" alt=\"\" width=\"138\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-4-138x300.jpg 138w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-4.jpg 157w\" sizes=\"(max-width: 138px) 100vw, 138px\" \/><br \/>\nPartial quotient = 10 + 7 = 17<br \/>\nSo, \\(\\sqrt [ 28 ]{ 476 } \\) = 17 R 28<\/p>\n<p>Question 4.<br \/>\n\\(\\sqrt [ 31 ]{ 605 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 31 ]{ 605 } \\) = 19 R 16<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19459\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-6-142x300.jpg\" alt=\"\" width=\"142\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-6-142x300.jpg 142w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-6.jpg 163w\" sizes=\"(max-width: 142px) 100vw, 142px\" \/><br \/>\nPartial quotient = 10 + 9 = 19<br \/>\nSo, \\(\\sqrt [ 31 ]{ 605 } \\) = 19 R 19<\/p>\n<p>Question 5.<br \/>\n\\(\\sqrt [ 47 ]{ 1,833 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 47 ]{ 1,833 } \\) = 39<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19460\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-7-143x300.jpg\" alt=\"\" width=\"143\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-7-143x300.jpg 143w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-7.jpg 202w\" sizes=\"(max-width: 143px) 100vw, 143px\" \/><br \/>\nPartial quotient = 30 + 9 = 39<br \/>\nSo, \\(\\sqrt [ 47 ]{ 1,833 } \\) = 39 R 0<\/p>\n<p>Question 6.<br \/>\n846 \u00f7 93 = ______<\/p>\n<p>Answer:<br \/>\n846 \u00f7 93 = 9 R 9<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19461\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-8-144x300.jpg\" alt=\"\" width=\"144\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-8-144x300.jpg 144w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-8.jpg 166w\" sizes=\"(max-width: 144px) 100vw, 144px\" \/><br \/>\nPartial quotient = 9<br \/>\nSo, 846 \u00f7 93 = 9 R 9<\/p>\n<p>Question 7.<br \/>\n6,305 \u00f7 65 = _______<\/p>\n<p>Answer:<br \/>\n6,305 \u00f7 65 = 97 R 0<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19462\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-9-136x300.jpg\" alt=\"\" width=\"136\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-9-136x300.jpg 136w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-9.jpg 193w\" sizes=\"(max-width: 136px) 100vw, 136px\" \/><br \/>\nPartial quotient = 90 + 7 = 97<br \/>\nSo, 6,305 \u00f7 65 = 97 R 0<\/p>\n<p>Question 8.<br \/>\n5,603 \u00f7 72 = _____<\/p>\n<p>Answer:<br \/>\n5,603 \u00f7 72 = 77 R 59<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19463\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-10-133x300.jpg\" alt=\"\" width=\"133\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-10-133x300.jpg 133w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-10.jpg 187w\" sizes=\"(max-width: 133px) 100vw, 133px\" \/><br \/>\nPartial quotient = 70 + 7 = 77<br \/>\nSo, 5,603 \u00f7 72 = 77 R 59<\/p>\n<p>Question 9.<br \/>\nA punching bag weighs 960 ounces. There are 16 ounces in 1 pound. What is the weight of the punching bag in pounds?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15348\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-7.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.6 7\" width=\"78\" height=\"233\" \/><\/p>\n<p>Answer:<br \/>\nThe weight of the punching bag in pounds is 60.<\/p>\n<p>Explanation:<br \/>\nDivide 960 by 16 to get the weight of the punching bag in pounds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19464\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-11-141x300.jpg\" alt=\"\" width=\"141\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-11-141x300.jpg 141w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-11.jpg 163w\" sizes=\"(max-width: 141px) 100vw, 141px\" \/><br \/>\nPartial quotients = 60<br \/>\nSo, 960 \u00f7 16 = 60<\/p>\n<p>Question 10.<br \/>\n<strong>Reasoning<\/strong><br \/>\nYour friend wants to divide 2,561 by 34. She multiplies 34 by 100 for her first partial quotient. Is this reasonable? Explain.<\/p>\n<p>Answer:<br \/>\nThe first partial quotient is 34 x 70 = 2380. So, it is not reasonable.<\/p>\n<p>Question 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA division problem has 56 as its divisor. The partial quotients are 10 and 8. The remainder is 2. What is the dividend?<\/p>\n<p>Answer:<br \/>\nThe dividend is 1010.<\/p>\n<p>Explanation:<br \/>\nPartial Quotients = 10 + 8 = 18<br \/>\nDividend = Divisor x Quotient + Remainder.<br \/>\nDividend = 56 x 18 + 2<br \/>\n= 1008 + 2 = 1010.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYou have 214 seeds. You want to plant all of the seeds by putting 1 seed in each section of a 12-section egg carton. How many egg cartons do you need?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15349\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-8.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.6 8\" width=\"179\" height=\"116\" \/><br \/>\nDivide 214 by 12 to find how many egg cartons you need.<br \/>\nUse partial quotients.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15350\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-9.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.6 9\" width=\"278\" height=\"123\" \/><br \/>\n214 \u00f7 12 = 17 R 10<br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 17. So, 17 cartons will be full.<br \/>\nThe remainder is 10. So, 1 carton will have 10 seeds.<br \/>\nSo, you need 18 egg cartons.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 12.<br \/>\nA screen printing shop makes 736 T-shirts. A shipping box can hold 28 T-shirts. How many boxes are needed to ship all of the T-shirts?<\/p>\n<p>Answer:<br \/>\n27 shipping boxes are required to ship all of the T-shirts.<\/p>\n<p>Explanation:<br \/>\nDivide 736 by 28 to find how many boxes are needed to ship all of the T-shirts<br \/>\nUse partial quotients.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19466\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-12-140x300.jpg\" alt=\"\" width=\"140\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-12-140x300.jpg 140w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-12.jpg 160w\" sizes=\"(max-width: 140px) 100vw, 140px\" \/><br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 26. So, 26 shipping boxes will be full.<br \/>\nThe remainder is 8. So, 1 shipping box will have 8 T-shirts.<br \/>\nSo, you need 27 shipping boxes.<\/p>\n<p>Question 13.<br \/>\nThe owner of a popcorn stand makes 2,568 ounces of popcorn in 1 day. How many 64-ounce bags of popcorn can the owner fill completely?<\/p>\n<p>Answer:<br \/>\nThe owner can fill 41, 64-ounce bags of popcorn.<\/p>\n<p>Explanation:<br \/>\nDivide 2,568 by 64 to find how many 64-ounce bags of popcorn can the owner fill completely.<br \/>\nUse partial quotient.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19467\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-13-134x300.jpg\" alt=\"\" width=\"134\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-13-134x300.jpg 134w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-13.jpg 193w\" sizes=\"(max-width: 134px) 100vw, 134px\" \/><br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 40. So, 40-ounce\u00a0bags of popcorn are full.<br \/>\nThe remainder is 8. So, 1 bag of popcorn will have 8-ounce.<br \/>\nSo, the owner can fill 41, 64-ounce bags of popcorn.<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA fruit bouquet worker needs 24 strawberries, 40 grapes, 16 raspberries, and 16 blackberries to make 1 fruit bouquet. How many fruit bouquets can the worker make with the amount of fruit in stock? Explain?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15351\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-10.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.6 10\" width=\"246\" height=\"150\" \/><\/p>\n<p>Answer:<br \/>\nThe worker can make 51 fruit bouquets with the amount of fruit in stock.<\/p>\n<p>Explanation:<br \/>\nThe total amount of fruits in stock = 1178 + 1685 + 992 + 956 = 4811<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19479\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-21.jpg\" alt=\"\" width=\"221\" height=\"291\" \/><br \/>\nNumber of fruits in the bouqet = 24 + 40 + 16 + 16 = 96<br \/>\nDivide 4811 by 96 to find how many fruit bouquets can the worker make with the amount of fruit in stock<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19484\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-22-140x300.jpg\" alt=\"\" width=\"140\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-22-140x300.jpg 140w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-22.jpg 196w\" sizes=\"(max-width: 140px) 100vw, 140px\" \/><br \/>\nPartial quotient = 50<br \/>\nSo, 4811 \u00f7 96 = 50 R 11.<\/p>\n<h3><a id=\"Use_Partial_Quotients_with_a_Remainder_Homework_&amp;_Practice_6.6\"><\/a>Use Partial Quotients with a Remainder Homework &amp; Practice 6.6<\/h3>\n<p><strong>Use partial quotients to divide.<\/strong><br \/>\nQuestion 1.<br \/>\n426 \u00f7 21 = _____ R _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15352\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-11.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.6 11\" width=\"277\" height=\"153\" \/><\/p>\n<p>Answer:<br \/>\n426 \u00f7 21 = 20 R 6<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19470\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-14-142x300.jpg\" alt=\"\" width=\"142\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-14-142x300.jpg 142w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-14.jpg 163w\" sizes=\"(max-width: 142px) 100vw, 142px\" \/><br \/>\nPartial quotient = 20<br \/>\nSo, 426 \u00f7 21 = 20 R 6<\/p>\n<p>Question 2.<br \/>\n1,832 \u00f7 32 = ______ R _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15353\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-12.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.6 12\" width=\"290\" height=\"147\" \/><\/p>\n<p>Answer:<br \/>\n1,832 \u00f7 32 = 57 R 8<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19471\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-15-136x300.jpg\" alt=\"\" width=\"136\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-15-136x300.jpg 136w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-15.jpg 192w\" sizes=\"(max-width: 136px) 100vw, 136px\" \/><br \/>\nPartial quotient = 50 + 7 = 57<br \/>\nSo, 1,832 \u00f7 32 = 57 R 8<\/p>\n<p>Question 3.<br \/>\n\\(\\sqrt [ 16 ]{ 279 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 16 ]{ 279 } \\) = 17 R 7<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19472\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-16-139x300.jpg\" alt=\"\" width=\"139\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-16-139x300.jpg 139w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-16.jpg 157w\" sizes=\"(max-width: 139px) 100vw, 139px\" \/><br \/>\nPartial quotient = 10 + 7 = 17<br \/>\nSo, \\(\\sqrt [ 16 ]{ 279 } \\) = 17 R 7<\/p>\n<p>Question 4.<br \/>\n\\(\\sqrt [ 95 ]{ 970 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 95 ]{ 970 } \\) = 10 R 20<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19473\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-17-141x300.jpg\" alt=\"\" width=\"141\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-17-141x300.jpg 141w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-17.jpg 162w\" sizes=\"(max-width: 141px) 100vw, 141px\" \/><br \/>\nPartial quotient = 10<br \/>\nSo, \\(\\sqrt [ 95 ]{ 970 } \\) = 10 R 20<\/p>\n<p>Question 5.<br \/>\n\\(\\sqrt [ 43 ]{ 2,451 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 43 ]{ 2,451 } \\) = 57<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19474\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-18-132x300.jpg\" alt=\"\" width=\"132\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-18-132x300.jpg 132w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-18.jpg 187w\" sizes=\"(max-width: 132px) 100vw, 132px\" \/><br \/>\nPartial quotient = 50 + 7 = 57<br \/>\nSo, \\(\\sqrt [ 43 ]{ 2,451 } \\) = 57<\/p>\n<p><strong>Use partial quotients to divide.<\/strong><br \/>\nQuestion 6.<br \/>\n504 \u00f7 18 = ______<\/p>\n<p>Answer:<br \/>\n504 \u00f7 18 = 28<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19475\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-19-148x300.jpg\" alt=\"\" width=\"148\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-19-148x300.jpg 148w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-19.jpg 169w\" sizes=\"(max-width: 148px) 100vw, 148px\" \/><br \/>\nPartial quotient = 20 + 8 = 28<br \/>\nSo, 504 \u00f7 18 = 28<\/p>\n<p>Question 7.<br \/>\n3,740 \u00f7 64 = _____<\/p>\n<p>Answer:<br \/>\n3,740 \u00f7 64 = 58 R 28<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19476\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-20-133x300.jpg\" alt=\"\" width=\"133\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-20-133x300.jpg 133w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-20.jpg 187w\" sizes=\"(max-width: 133px) 100vw, 133px\" \/><br \/>\nPartial quotient = 50 + 8 = 58<br \/>\nSo, 3,740 \u00f7 64 = 58 R 28<\/p>\n<p>Question 8.<br \/>\n9,261 \u00f7 57 = ______<\/p>\n<p>Answer:<br \/>\n9,261 \u00f7 57 = 162 R 27<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19456\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-5-135x300.jpg\" alt=\"\" width=\"135\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-5-135x300.jpg 135w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-5.jpg 190w\" sizes=\"(max-width: 135px) 100vw, 135px\" \/><br \/>\nPartial quotients = 100 + 60 + 2 = 162<br \/>\nSo, 9,261 \u00f7 57 = 162 R 27<\/p>\n<p>Question 9.<br \/>\nA teacher has 1,025 books. She places an equal number of books into each of 30 bins. How many books are in each bin?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15354\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-6.6-13.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 6.6 13\" width=\"99\" height=\"157\" \/><\/p>\n<p>Answer:<br \/>\n35 books are in each bin.<\/p>\n<p>Explanation:<br \/>\nDivide 1025 by 30 to find how many books are in each bin.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19661\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-23-134x300.jpg\" alt=\"\" width=\"134\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-23-134x300.jpg 134w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-23.jpg 189w\" sizes=\"(max-width: 134px) 100vw, 134px\" \/><br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 34. So, 34 bins are required to fill books.<br \/>\nThe remainder is 5. So, 1 bin will have 5 books.<br \/>\nSo, 35 books are there in each bin.<\/p>\n<p>Question 10.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWhat is the greatest possible whole number remainder when you divide a number by 75? Explain.<\/p>\n<p>Answer:<br \/>\n74 is the greatest possible whole number divided obtained after dividing a number by 75. This remainder is obtained by dividing 149 by 75.<\/p>\n<p>Question 11.<br \/>\n<strong>Structure<\/strong><br \/>\nSolve 4,123 \u00f7 78 two different ways using partial quotients.<\/p>\n<p>Answer:<br \/>\n4,123 \u00f7 78 = 52 R 67<\/p>\n<p>Explanation:<br \/>\nMethod 1:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19680\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-24-134x300.jpg\" alt=\"\" width=\"134\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-24-134x300.jpg 134w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-24.jpg 190w\" sizes=\"(max-width: 134px) 100vw, 134px\" \/><br \/>\nPartial Quotients = 50 + 2 = 52<br \/>\nMethod 2:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19682\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-25-300x173.jpg\" alt=\"\" width=\"300\" height=\"173\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-25-300x173.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-25.jpg 319w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nPartial Quotients = 40 + 12 = 52<br \/>\nSo, 4,123 \u00f7 78 = 52 R 67<\/p>\n<p>Question 12.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nOne study shows that American adults eat about 31 pounds of cheese each year. How many years does it take for an adult to eat 1,500 pounds of cheese?<\/p>\n<p>Answer:<br \/>\nIt takes a total of 49 years for an adult to eat 1500 pounds of cheese.<\/p>\n<p>Explanation:<br \/>\nDivide 1500 pounds by 31 pounds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19683\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-26-136x300.jpg\" alt=\"\" width=\"136\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-26-136x300.jpg 136w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-26.jpg 195w\" sizes=\"(max-width: 136px) 100vw, 136px\" \/><br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 48. So, it takes 48 years for an adult to eat cheese.<br \/>\nThe remainder is 12. So, an adult will eat 12 pounds of cheese in 1 year.<br \/>\nSo, it takes a total of 49 years for an adult to eat 1,500 pounds of cheese.<\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThere are 212 students and 89 teachers attending a leadership conference. One table can seat 16 people. How many tables are needed?<\/p>\n<p>Answer:<br \/>\nA total of 19 tables are needed.<\/p>\n<p>Explanation:<br \/>\nNumber of people attending conference = 212 + 89 = 301<br \/>\nOne can table can seat 16 people.<br \/>\nSo, divide 301 by 16 to find how many tables are needed.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19684\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-27-140x300.jpg\" alt=\"\" width=\"140\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-27-140x300.jpg 140w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.6-27.jpg 156w\" sizes=\"(max-width: 140px) 100vw, 140px\" \/><br \/>\nPartial quotients = 10 + 8<br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 18. So, 18 tables are required.<br \/>\nThe remainder is 13. So, 1 more table having 13 people.<br \/>\nSo, the number of tables required is 19.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Estimate the product.<\/strong><br \/>\nQuestion 14.<br \/>\n487 \u00d7 92<\/p>\n<p>Answer:<br \/>\n487 \u00d7 92 = 45000<\/p>\n<p>Explanation:<br \/>\nRound up the given numbers to the nearest hundreds and tens.<br \/>\n487 can be rounded to 500 and 92 can be rounded to 90.<br \/>\nSo, 500 x 90 = 5 hundreds x 9 tens = 45 thousands.<\/p>\n<p>Question 15.<br \/>\n24 \u00d7 211<\/p>\n<p>Answer:<br \/>\n24 \u00d7 211 = 4000<\/p>\n<p>Explanation:<br \/>\nRound up the given numbers to the nearest hundreds and tens.<br \/>\n24 can be rounded to 20 and 211 can be rounded to 200.<br \/>\nSo, 200 x 20 = 2 hundreds x 2 tens = 4 thousands.<\/p>\n<p>Question 16.<br \/>\n49 \u00d7 657<\/p>\n<p>Answer:<br \/>\n49 \u00d7 657 = 35000<\/p>\n<p>Explanation:<br \/>\nRound up the given numbers to the nearest hundreds and tens.<br \/>\n49 can be rounded to 50 and 657 can be rounded to 700.<br \/>\nSo, 50 x 700 = 5 tens x 7 hundreds = 35 thousands.<\/p>\n<h3><a id=\"Lesson_6.7_Divide_Three_Digit_Numbers_by_Two_Digit_Numbers\"><\/a>Lesson 6.7 Divide Three-Digit Numbers by Two-Digit Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>All of the division problems have no remainders. Which problems have one-digit quotients? Which problems have two-digit quotients? How do you know without calculating?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15355\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-1.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.7 1\" width=\"463\" height=\"167\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-1.png 463w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-1-300x108.png 300w\" sizes=\"(max-width: 463px) 100vw, 463px\" \/><\/p>\n<p>Answer:<br \/>\nThe division problems have one-digit quotients are 344 \u00f7 43, 340 \u00f7 68, 711 \u00f7 79. And the division problems which have two-digit quotients are 312 \u00f7 18, 840 \u00f7 24, 407 \u00f7 11.<\/p>\n<p>Explanation:<br \/>\nAll the divisors are two digits, so we can take the first two digits or three digits of the dividend for calculation. If the dividend starting digits are greater than divisor numbers, then it has a two-digit quotient. If the divided starting digits is less than the divisor, then it has a one-digit quotient.<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nExplain how estimation can help you determine the number of digits in a quotient.<\/p>\n<p>Answer:<br \/>\nThe simple strategy is, the starting digits of the dividend is greater than the divisor, then it has a one-digit quotient. And if the starting digits of the divisor is greater than the divisor, then it has the two-digit quotient.<\/p>\n<p><strong>Think and Grow: Divide Three-Digit Numbers by Two-DigitNumbers<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 368 \u00f7 16. Estimate ______<br \/>\nUse the estimate to place the first digit in the quotient.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15356\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-2.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.7 2\" width=\"664\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-2.png 664w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-2-300x257.png 300w\" sizes=\"(max-width: 664px) 100vw, 664px\" \/><\/p>\n<p>Answer:<br \/>\n368 \u00f7 16 = 23.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Divide. Then check your answer.<\/strong><br \/>\nQuestion 1.<br \/>\n\\(\\sqrt [ 18 ]{ 612 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 18 ]{ 612 } \\) = 34<\/p>\n<p>Explanation:<br \/>\nThe digit is in the hundreds place.<br \/>\nDivide the tens.<br \/>\n61 tens \u00f7 18<br \/>\n3 tens x 18<br \/>\n61 tens &#8211; 54 tens<br \/>\nThere are 7 tens left over.<br \/>\nDivide the ones.<br \/>\n72 ones \u00f7 18<br \/>\n4 ones x 18<br \/>\n72 ones &#8211; 72 ones<br \/>\nThere are 0 ones left over.<br \/>\nRegroup 3 tens and 4 ones.<br \/>\nSo, 612 \u00f7 18 = 34.<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19783\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-1.jpg\" alt=\"\" width=\"166\" height=\"243\" \/><\/p>\n<p>Question 2.<br \/>\n\\(\\sqrt [ 42 ]{ 294 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 42 ]{ 294 } \\) = 7<\/p>\n<p>Explanation:<br \/>\nThe digit is in the hundreds place.<br \/>\nDivide the hundreds.<br \/>\n29 hundreds \u00f7 42<br \/>\n7 ones x 42<br \/>\n294 &#8211; 294 = 0<br \/>\nSo, \\(\\sqrt [ 42 ]{ 294 } \\) = 7.<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19785\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-2.jpg\" alt=\"\" width=\"174\" height=\"202\" \/><\/p>\n<p>Question 3.<br \/>\n\\(\\sqrt [ 30 ]{ 580 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 30 ]{ 580 } \\) = 19<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19787\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-3-145x300.jpg\" alt=\"\" width=\"145\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-3-145x300.jpg 145w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-3.jpg 169w\" sizes=\"(max-width: 145px) 100vw, 145px\" \/><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Divide. Then check your answer.<\/strong><br \/>\nQuestion 4.<br \/>\n\\(\\sqrt [ 16 ]{ 293 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 16 ]{ 293 } \\) = 18.<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the hundreds place.<br \/>\nDivide the tens.<br \/>\n29 tens \u00f7 16.<br \/>\n1 ten x 16<br \/>\n29 tens &#8211; 16 tens = 13 tens<br \/>\ndivide the ones.<br \/>\n133 \u00f7 16<br \/>\n16 x 8 ones = 128<br \/>\n133 &#8211; 128 = 5<br \/>\nRegroup 10 tens and 8 ones = 10 + 8 = 18.<br \/>\nSo, \\(\\sqrt [ 16 ]{ 293 } \\) = 18.<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19788\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-4.jpg\" alt=\"\" width=\"167\" height=\"243\" \/><\/p>\n<p>Question 5.<br \/>\n\\(\\sqrt [ 35 ]{ 375 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 35 ]{ 375 } \\) = 10<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the hundreds place.<br \/>\nDivide the tens.<br \/>\n37 tens \u00f7 35<br \/>\n1 ten x 35 = 35 tens<br \/>\n37 tens &#8211; 35 tens = 2 tens<br \/>\nDivide the ones.<br \/>\n25 \u00f7 35<br \/>\nSo, \\(\\sqrt [ 35 ]{ 375 } \\) = 10<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19789\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-5.jpg\" alt=\"\" width=\"174\" height=\"243\" \/><\/p>\n<p>Question 6.<br \/>\n\\(\\sqrt [ 77 ]{ 847 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 77 ]{ 847 } \\) = 11<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the hundreds place.<br \/>\nDivide the tens.<br \/>\n84 tens \u00f7 77<br \/>\n1 ten x 77 = 770<br \/>\n84 tens &#8211; 77 tens = 7 tens<br \/>\nDivide the ones.<br \/>\n77 one \u00f7 77 = 1<br \/>\nRegroup 1 ten and 1.<br \/>\nSo, \\(\\sqrt [ 77 ]{ 847 } \\) = 11.<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19791\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-6.jpg\" alt=\"\" width=\"168\" height=\"251\" \/><\/p>\n<p>Question 7.<br \/>\n564 \u00f7 94 = ______<\/p>\n<p>Answer:<br \/>\n564 \u00f7 94 = 6<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the hundreds place.<br \/>\n564 \u00f7 94 = 6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19792\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-7-144x300.jpg\" alt=\"\" width=\"144\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-7-144x300.jpg 144w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-7.jpg 166w\" sizes=\"(max-width: 144px) 100vw, 144px\" \/><br \/>\nUse multiplication to check your answer.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-medium wp-image-19793\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-8.jpg\" alt=\"\" width=\"173\" height=\"202\" \/><\/p>\n<p>Question 8.<br \/>\n998 \u00f7 33 = _______<\/p>\n<p>Answer:<br \/>\n998 \u00f7 33 = 30<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the hundreds place.<br \/>\nDivide the tens.<br \/>\n3 tens x 33 = 99 tens<br \/>\n99 tens &#8211; 99 tens = 0<br \/>\nSo, 998 \u00f7 33 = 30<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19794\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-9.jpg\" alt=\"\" width=\"174\" height=\"249\" \/><\/p>\n<p>Question 9.<br \/>\n702 \u00f7 54 = ________<\/p>\n<p>Answer:<br \/>\n702 \u00f7 54 = 13<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the hundreds place.<br \/>\nDivide the tens.<br \/>\n70 tens \u00f7 54<br \/>\n1 ten x 54 = 54 tens<br \/>\n70 tens &#8211; 54 tens = 16 tens<br \/>\ndivide the ones.<br \/>\n162 \u00f7 54<br \/>\n54 x 3 ones = 162<br \/>\n162 &#8211; 162 = 0<br \/>\nRegroup 1 ten and 3 ones.<br \/>\nSo, 702 \u00f7 54 = 13<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19795\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-10.jpg\" alt=\"\" width=\"177\" height=\"250\" \/><\/p>\n<p>Question 10.<br \/>\nA period of 20 years is called a score. It takes about 460 years for a score plastic bottle to decompose in a landfill. How many scores does it take for a plastic bottle to decompose?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15357\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-3.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.7 3\" width=\"131\" height=\"169\" \/><\/p>\n<p>Answer:<br \/>\nIt requires 23 scores for a plastic bottle to decompose.<\/p>\n<p>Explanation:<br \/>\nDivide 460 by 20 to get how many scores does it take for a plastic bottle to decompose.<br \/>\nDivide the ten.<br \/>\n46 tens \u00f7 20<br \/>\n2 tens x 20 = 40 tens<br \/>\n46 tens &#8211; 40 tens = 6 tens<br \/>\nDivide the ones.<br \/>\n60 \u00f7 20<br \/>\n20 x 3 ones = 60<br \/>\n60 &#8211; 60 = 0<br \/>\nRegroup 2 tens and 3 ones.<br \/>\nSo, 460 \u00f7 20 = 23<br \/>\nTherefore, 23 scores are required for a plastic bottle to decompose.<\/p>\n<p>Question 11.<br \/>\n<strong>Number Sense<\/strong><br \/>\nCan you have a remainder that is greater than the divisor?<\/p>\n<p>Answer:<br \/>\nNo, remainder of a division problem is not greater than the divisor.<br \/>\nExplanation:<br \/>\nIf a remainder is greater than divisor, latter can go one more time and hence division is not complete. Even if remainder is equal to divisor, it can still go one more time. Hence remainder has to be less than the divisor.<\/p>\n<p>Question 12.<br \/>\n<strong>Structure<\/strong><br \/>\nFind 304 \u00f7 16 using two different methods. Which method do you prefer? Why?<\/p>\n<p>Answer:<br \/>\nI prefer to solve 304 \u00f7 16 by using the actual division method. Because actual division method gives the exact answer easily.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19801\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-11-146x300.jpg\" alt=\"\" width=\"146\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-11-146x300.jpg 146w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-11.jpg 164w\" sizes=\"(max-width: 146px) 100vw, 146px\" \/><br \/>\nSo, 304 \u00f7 16 = 19.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nTours of a television studio have no more than 45 guests. There are 589 guests in line to tour the studio. How many tours are full?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15358\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-4.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.7 4\" width=\"178\" height=\"168\" \/><br \/>\nDivide the total number of guests by the number of guests in each tour to find how many tours are full.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15359\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-5.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.7 5\" width=\"132\" height=\"160\" \/><br \/>\nDivide the tens. Then divide the ones.<br \/>\n589 \u00f7 45 = 13 R 4<br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 13. So, 13 tours are full with 45 guests each.<br \/>\nThe remainder is 4. There are 4 guests left. So, the last tour is not full and has 4 guests.<br \/>\nSo, 13 tours are full.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 13.<br \/>\nA farmer has 918 eggs to sell at a farmer\u2019s market. She packs 12 eggs in each carton. How many cartons are full?<\/p>\n<p>Answer:<br \/>\n76 Cartons are full.<\/p>\n<p>Explanation:<br \/>\nDivide the total number of eggs by number of eggs in each carton to get how many cartons are full.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19803\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-12-148x300.jpg\" alt=\"\" width=\"148\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-12-148x300.jpg 148w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-12.jpg 170w\" sizes=\"(max-width: 148px) 100vw, 148px\" \/><br \/>\nDivide the tens. Then divide the ones.<br \/>\n918 \u00f7 12 = 76 R 6<br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 76. So, 12 cartons are full with 12 eggs each.<br \/>\nThe remainder is 6. There are 6 eggs left.<br \/>\nSo the last carton is not fill and has 6 eggs.<br \/>\nSo, 76 cartons are full.<\/p>\n<p>Question 14.<br \/>\nDescartes makes 770 cups of apple cider. He pours 16 cups of cider into each container. How many containers does Descartes need?<\/p>\n<p>Answer:<br \/>\nDescartes need 49 containers to fill 770 cups of apple cider.<\/p>\n<p>Explanation:<br \/>\nDivide number of cups of aplicider by the number of cups of cider in each container to get how many containers are required.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19804\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-14-137x300.jpg\" alt=\"\" width=\"137\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-14-137x300.jpg 137w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-14.jpg 154w\" sizes=\"(max-width: 137px) 100vw, 137px\" \/><br \/>\nDivide the tens. Then divide the ones.<br \/>\n770 \u00f7 16 = 48 R 2<br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 48. So, 48 containers are full with 16 cups of apple cider.<br \/>\nThe remainder is 2. There are 2 cups of cider is left.<br \/>\nSo the last container is not full and has 2 cups of cider.<br \/>\nSo, 49 containers are required.<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nSix teachers and 144 students attend a glassblowing demonstration. An auditorium has 10 rows with 23 seats in each row. Students begin filling in the front row and do not leave any empty seats. The remaining students and teachers sit in the last row. How many students sit with the teachers?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15360\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-6.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.7 6\" width=\"169\" height=\"125\" \/><\/p>\n<p>Answer:<br \/>\n6 students sit with the teachers in the last row of the auditorium.<\/p>\n<p>Explanation:<br \/>\nDivide 144 by 23.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19806\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-15-134x300.jpg\" alt=\"\" width=\"134\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-15-134x300.jpg 134w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-15.jpg 156w\" sizes=\"(max-width: 134px) 100vw, 134px\" \/>1<br \/>\n144 \u00f7 23 = 6 R 6<br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 6. So, 6 rows are filled with the students.<br \/>\nThe remainder is 6. So, 6 more students are left to sit with teachers.<\/p>\n<h3><a id=\"Divide_Three_Digit_Numbers_by_Two_Digit_Numbers_Homework_&amp;_Practice_6.7\"><\/a>Divide Three-Digit Numbers by Two-Digit Numbers Homework &amp; Practice 6.7<\/h3>\n<p><strong>Divide. Then check your answer.<\/strong><br \/>\nQuestion 1.<br \/>\n\\(\\sqrt [ 21 ]{ 735 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 21 ]{ 735 } \\) = 35<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the hundreds place.<br \/>\nDivide the tens.<br \/>\n73 tens \u00f7 21<br \/>\n3 tens x 21 = 63 tens<br \/>\n73 tens &#8211; 63 tens = 10 tens<br \/>\nDivide the ones.<br \/>\n105 one \u00f7 21<br \/>\n21 x 5 one = 105 ones<br \/>\n105 ones &#8211; 105 ones = 0<br \/>\nRegroup 3 tens and 5 ones.<br \/>\nSo, \\(\\sqrt [ 21 ]{ 735 } \\) = 35<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19802\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-13.jpg\" alt=\"\" width=\"175\" height=\"259\" \/><\/p>\n<p>Question 2.<br \/>\n\\(\\sqrt [ 64 ]{ 802 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 64 ]{ 802 } \\) = 12 R 34.<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the hundreds place.<br \/>\nDivide the tens. Then divide the ones.<br \/>\n80 tens \u00f7 64<br \/>\n64 x 1 ten = 64 tens<br \/>\n80 tens &#8211; 64 tens = 16 tens<br \/>\n162 ones \u00f7\u00a0 64<br \/>\n64 x 2 ones = 128 ones<br \/>\n162 ones &#8211; 128 ones = 34 ones<br \/>\nRegroup 1 ten and 2 ones<br \/>\nSo, \\(\\sqrt [ 64 ]{ 802 } \\) = 12 R 34.<br \/>\nUse multiplication to check your answer.<br \/>\n64 x 12 = 768<br \/>\n786 + 34 = 802<\/p>\n<p>Question 3.<br \/>\n\\(\\sqrt [ 40 ]{ 901 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 40 ]{ 901 } \\) = 22 R 21<\/p>\n<p>Explanation:<br \/>\nDivide the tens. Then divide the ones.<br \/>\n90 tens \u00f7 40<br \/>\n2 tens x 40 = 80 tens<br \/>\n90 tens &#8211; 80 tens = 10 tens<br \/>\n101 one \u00f7 40<br \/>\n40 x 2 = 80 ones<br \/>\n101 one &#8211; 80 one = 21 one<br \/>\nRegroup 2 tens and 2 ones.<br \/>\nSo, \\(\\sqrt [ 40 ]{ 901 } \\) = 22 R 21<br \/>\nUse multiplication to check your answer.<br \/>\n22 x 40 = 880<br \/>\n880 + 21 = 101.<\/p>\n<p>Question 4.<br \/>\n486 \u00f7 18 = ______<\/p>\n<p>Answer:<br \/>\n486 \u00f7 18 = 24 R 14<\/p>\n<p>Explanation:<br \/>\nDivide the tens. Then divide the ones.<br \/>\n48 tens \u00f7 18<br \/>\n2 tens x 18 tens = 36 tens<br \/>\n48 tens &#8211; 36 tens = 8 tens<br \/>\n86 ones \u00f7 18<br \/>\n18 x 4 ones = 72 ones<br \/>\n86 ones &#8211; 72 ones = 14 ones<br \/>\nRegroup\u00a0 2 tens and 4 ones.<br \/>\nSo, 486 \u00f7 18 =\u00a0 24 R 14<br \/>\nUse multiplication to check your answer.<br \/>\n24 x 18 = 432<br \/>\n432 + 14 = 486<\/p>\n<p>Question 5.<br \/>\n266 \u00f7 19 = ______<\/p>\n<p>Answer:<br \/>\n266 \u00f7 19 = 14<\/p>\n<p>Explanation:<br \/>\nDivide the tens. Then divide the ones.<br \/>\n26 tens \u00f7 19<br \/>\n1 ten x 19 = 19 tens<br \/>\n26 tens &#8211; 19 tens = 7 tens<br \/>\n76 ones \u00f7 19<br \/>\n19 x 4 ones = 76 ones<br \/>\n76 ones &#8211; 76 ones = 0<br \/>\nRegroup 1 ten and 4 ones.<br \/>\nSo, 266 \u00f7 19 = 14.<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19812\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-16.jpg\" alt=\"\" width=\"174\" height=\"249\" \/><\/p>\n<p>Question 6.<br \/>\n284 \u00f7 37 = _______<\/p>\n<p>Answer:<br \/>\n284 \u00f7 37 = 8 R 12<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19813\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-17-146x300.jpg\" alt=\"\" width=\"146\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-17-146x300.jpg 146w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-17.jpg 167w\" sizes=\"(max-width: 146px) 100vw, 146px\" \/><br \/>\nUse multiplication to check your answer.<br \/>\n34 x 8 = 2872<br \/>\n284 &#8211; 272 = 12.<\/p>\n<p>Question 7.<br \/>\nA factory packages identical bags of nails into a box and ships them to a store. The store receives 960 nails in the box. How many bags of nails does the store receive?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15361\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-7.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.7 7\" width=\"132\" height=\"176\" \/><\/p>\n<p>Answer:<br \/>\nThe store receives 40 nails of bags.<\/p>\n<p>Explanation:<br \/>\nDivide 960 by 24 to get how many bags of nails does the store receive.<br \/>\nDivide the tens. Then divide the ones.<br \/>\n96 tens \u00f7 24<br \/>\n24 x 4 tens = 96 tens<br \/>\n96 tens &#8211; 96 tens = 0<br \/>\nSo, 960 \u00f7 24 = 40<br \/>\nTherefore, store receives 40 nails of bags.<\/p>\n<p>Question 8.<br \/>\n<strong>Logic<\/strong><br \/>\nFind the missing digits.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15362\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-8.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.7 8\" width=\"125\" height=\"159\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19819\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-18.jpg\" alt=\"\" width=\"126\" height=\"177\" \/><br \/>\nThe first missing digit is 0. Second missing digts are 98 = 49 x 2.<\/p>\n<p>Question 9.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nChange the dividend in the equation to another three-digit number so that there is no remainder.<br \/>\n893 \u00f7 61 = 14 R 39<\/p>\n<p>Answer:<br \/>\n854 \u00f7 61 = 14<\/p>\n<p>Explanation:<br \/>\n14 x 61 = 893<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19820\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-19.jpg\" alt=\"\" width=\"168\" height=\"243\" \/><\/p>\n<p>Question 10.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nAn amusement park ride seats 12 people. There are 458 people in line. How many times does the ride run full?<\/p>\n<p>Answer:<br \/>\n38 times the ride run full.<\/p>\n<p>Explanation:<br \/>\nDivide 458 by 12 to get how many times does the ride run full.<br \/>\nDivide the tens. Then divide the ones.<br \/>\n45 tens \u00f7 12<br \/>\n12 x 3 tens = 36 tens<br \/>\n45 tens &#8211; 36 tens = 9 tens<br \/>\n98 ones \u00f7 12<br \/>\n12 x 8 ones = 69 ones<br \/>\n98 ones &#8211; 96 ines = 2 ones<br \/>\nRegroup 3 tens and 8 ones.<br \/>\nSo, 458 \u00f7 12 = 38 R 2.<br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 38. So, 38 times the ride is full.<br \/>\nThe remainder is 2. There are 2 more people to ride.<br \/>\nSo, the last ride run is not full and has 2 people.<br \/>\nSo, 38 times the ride is full.<\/p>\n<p>Question 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA city mayor receives 990 new garbage cans. She gives half of the garbage cans to the city\u2019s residents. She divides the rest of the cans into 16 equal groups for the city\u2019s parks and streets. How many garbage cans are left over?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15363\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-9.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers 6.7 9\" width=\"137\" height=\"162\" \/><\/p>\n<p>Answer:<br \/>\n15 more garbage cans are left over.<\/p>\n<p>Explanation:<br \/>\n990 \u00f7 2 = 495 garbage cans are handed over to city students<br \/>\nDivide 495 by 16.<br \/>\nDivide the tens. Then divide the ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19823\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-20-144x300.jpg\" alt=\"\" width=\"144\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-20-144x300.jpg 144w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.7-20.jpg 165w\" sizes=\"(max-width: 144px) 100vw, 144px\" \/><br \/>\n495 \u00f7 16 = 30 R 15.<br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 30. So, 30 groups of cans are given to parks.<br \/>\nthe remainder is 15.. So, 15 more cans are remaining.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 12.<br \/>\nRound 18.692.<br \/>\nNearest whole number: ________<br \/>\nNearest tenth: _______<br \/>\nNearest hundredth: _______<\/p>\n<p>Answer:<br \/>\nNearest whole number: 19<br \/>\nNearest tenth: 18.7<br \/>\nNearest hundredth: 18.69<\/p>\n<p>Explanation:<br \/>\nIn the number 18.692, digit at decimal place is 6. So, nearest tenths is 18.7, the digit at the units place is 8. So, the nearest whole number is 20. And the digit at hundredth place is 9 so, the nearest hundredth is 18.69.<\/p>\n<p>Question 13.<br \/>\nRound 5.153.<br \/>\nNearest whole number: ______<br \/>\nNearest tenth: _______<br \/>\nNearest hundredth: _______<\/p>\n<p>Answer:<br \/>\nNearest whole number: 5<br \/>\nNearest tenth: 5.1<br \/>\nNearest hundredth: 5.15<\/p>\n<p>Explanation:<br \/>\nIn the given number 5.153 the number at units place is 5 so nearest whole number is also 5. The number at tenths place is 1, so the nearest 10th is 5.1, The number at hundredth place is 5 so the nearest 100th is 5.15.<\/p>\n<h3><a id=\"Lesson_6.8_Divide_Four_Digit_Numbers_by_Two_Digit_Numbers\"><\/a>Lesson 6.8 Divide Four-Digit Numbers by Two-Digit Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>All of the division problems have no remainders. Which problems have two-digit quotients? Which problems have three-digit quotients? How do you know without calculating?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15364\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.8 1\" width=\"463\" height=\"159\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-1.png 463w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-1-300x103.png 300w\" sizes=\"(max-width: 463px) 100vw, 463px\" \/><\/p>\n<p>Answer:<br \/>\nThe division problems which have two digit quotients are 4774 \u00f7 62, 1050 \u00f7 25, and 1995 \u00f721. The problems that have three digit quotients are 1890 \u00f718, 8200 \u00f740, and 6138 \u00f7 33.<\/p>\n<p>Explanation:<br \/>\nWe can simply say that in each problem the denominator is a two digit number and numerator is a four digit number. Here, if the first two digits of the numerator are greater than or equal to the denominator, then it has three digit quotient. If the first two digits of the numerator are less than the denominator, then it has two digit quotient.<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nCan a four-digit whole number divided by a two-digit whole number have a whole number quotient with four digits? Explain your reasoning.<\/p>\n<p>Answer:<br \/>\nNo, a four digit whole number divided by a two digit whole number have a whole number quotient with four digits. Because, the division process will reduce the number of digits of the dividend by at least 1.<\/p>\n<p><strong>Think and Grow: Divide Four-Digit Numbers by Two-Digit Numbers<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 3,290 \u00f7 31.<br \/>\nEstimate _______<br \/>\nUse the estimate to place the first digit in the quotient.<br \/>\n\\(\\sqrt [ 31 ]{ 3,290 } \\)<br \/>\nThe first digit is in the ______ place.<br \/>\nDivide the hundreds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15365\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-2.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.8 2\" width=\"627\" height=\"562\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-2.png 627w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-2-300x269.png 300w\" sizes=\"(max-width: 627px) 100vw, 627px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Divide. Then check your answer.<\/strong><br \/>\nQuestion 1.<br \/>\n\\(\\sqrt [ 28 ]{ 1,148 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 28 ]{ 1,148 } \\) = 41<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\n11 hundreds \u00f7 28<br \/>\n11 hundreds cannot be shared among 28 groups without regrouping.<br \/>\nSo, add next number.<br \/>\nDivide the tens.<br \/>\n114 tens \u00f7 28<br \/>\n28 x 4 tens = 112 tens<br \/>\n114 tens &#8211; 112 tens = 2 tens<br \/>\nThere are 2 tens left over.<br \/>\nDivide thee ones.<br \/>\n28 ones \u00f7 28<br \/>\n28 x 1 one = 28 ones<br \/>\n28 ones &#8211; 28 ones = 0<br \/>\nSo, 1148 \u00f7 28 = 41<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19831\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-1.jpg\" alt=\"\" width=\"198\" height=\"245\" \/><\/p>\n<p>Question 2.<br \/>\n\\(\\sqrt [ 13 ]{ 1,596 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 13 ]{ 1,596 } \\) = 122 R 10<\/p>\n<p>Explanation:<br \/>\nthe first digit is in the thousands place.<br \/>\ndivide the hundred.<br \/>\n15 hundreds \u00f7 13<br \/>\n13 x 1 hundred = 13 hundreds<br \/>\n15 hundreds &#8211; 13 hundreds = 2 hundreds.<br \/>\nThere are 2 hundreds left over.<br \/>\nDivide the tens<br \/>\n29 tens \u00f7 13<br \/>\n13 x 2 tens = 26 tens<br \/>\n29 tens &#8211; 26 tens = 3 tens<br \/>\nDivide the ones.<br \/>\n36 ones \u00f7 13<br \/>\n13 x 2 ones = 26 ones.<br \/>\n36 ones &#8211; 26 ones = 10<br \/>\nSo, 1596 \u00f7 13 = 122 R 10<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19833\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-2.jpg\" alt=\"\" width=\"200\" height=\"285\" \/><br \/>\n1586 + 10 = 1596.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Divide. Then check your answer.<\/strong><br \/>\nQuestion 3.<br \/>\n\\(\\sqrt [ 16 ]{ 9,640 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 16 ]{ 9,640 } \\) = 602 R 8.<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\ndivide the hundreds.<br \/>\n96 hundreds \u00f7 16<br \/>\n16 x 6 hundreds = 96 hundreds.<br \/>\n96 hundreds &#8211; 96 hundreds = 0<br \/>\nDivide the tens.<br \/>\n4 tens \u00f7 16<br \/>\n40 \u00f7 16<br \/>\n16 x 2 = 32<br \/>\n40 &#8211; 32 = 8<br \/>\nSo 9640 \u00f7 16 = 602 R 8<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19834\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-3.jpg\" alt=\"\" width=\"205\" height=\"287\" \/><br \/>\n9632 + 8 = 9640<\/p>\n<p>Question 4.<br \/>\n\\(\\sqrt [ 26 ]{ 5,460 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 26 ]{ 5,460 } \\) = 210<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\n54 hundreds \u00f7 26<br \/>\n26 x 2 hundreds = 52 hundreds<br \/>\n54 hundreds &#8211; 52 hundreds = 2 hundreds<br \/>\nDivide the tens.<br \/>\n26 tens \u00f7 26<br \/>\n26 x 1 ten = 26 tens<br \/>\n26 tens &#8211; 26 tens = 0<br \/>\nSo, 5460 \u00f7 26 = 210<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19836\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-4.jpg\" alt=\"\" width=\"203\" height=\"294\" \/><\/p>\n<p>Question 5.<br \/>\n\\(\\sqrt [ 37 ]{ 3,885 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 37 ]{ 3,885 } \\) = 105<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\n38 hundreds \u00f7 37<br \/>\n37 x 1 hundreds = 37 hundreds<br \/>\n38 hundreds &#8211; 37 hundreds = 1 hundred<br \/>\nDivide the tens.<br \/>\n18 tens \u00f7 37<br \/>\nAs 18 can&#8217;t be shared among 37 groups. So place 0 and add next number.<br \/>\nDivide ones.<br \/>\n185 ones \u00f7 37<br \/>\n37 x 5 ones = 185 ones<br \/>\n185 ones &#8211; 185 ones = 0<br \/>\nSo, \\(\\sqrt [ 37 ]{ 3,885 } \\) = 105<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19837\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-5.jpg\" alt=\"\" width=\"202\" height=\"292\" \/><\/p>\n<p>Question 6.<br \/>\n2,784 \u00f7 72 = _______<\/p>\n<p>Answer:<br \/>\n2,784 \u00f7 72 = 38 R 48<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\n27 hundreds \u00f7 72<br \/>\nAs the 27 can&#8217;t be shared among 72 groups. add next number.<br \/>\nDivide the tens.<br \/>\n278 tens \u00f7 72<br \/>\n72 x 3 tens = 216 tens<br \/>\n278 tens &#8211; 216 tens = 62 tens<br \/>\nDivide the ones<br \/>\n624 ones \u00f7 72<br \/>\n72 x 8 ones = 576 ones<br \/>\n624 ones &#8211; 576 ones = 48 ones.<br \/>\nSo, 2,784 \u00f7 72 = 38 R 48<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19839\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-6.jpg\" alt=\"\" width=\"206\" height=\"240\" \/><br \/>\n2736 + 48 = 2784.<\/p>\n<p>Question 7.<br \/>\n8,047 \u00f7 83 = _______<\/p>\n<p>Answer:<br \/>\n8,047 \u00f7 83 = 96 R 79<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\n80 hundreds \u00f7 83<br \/>\nAs the 80 can&#8217;t be shared among 83 groups. add next number.<br \/>\nDivide the tens.<br \/>\n804 tens \u00f7 83<br \/>\n83 x 9 tens = 747 tens<br \/>\n804 tens &#8211; 747 tens = 57 tens<br \/>\nDivide the ones<br \/>\n577 ones \u00f7 83<br \/>\n83 x 6 ones = 498<br \/>\n577 ones &#8211; 498 ones = 79 ones.<br \/>\nSo, 8,047 \u00f7 83 = 96 R 79<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19840\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-7.jpg\" alt=\"\" width=\"209\" height=\"243\" \/><br \/>\n7968 + 79 = 8047<\/p>\n<p>Question 8.<br \/>\n9,504 \u00f7 96 = ________<\/p>\n<p>Answer:<br \/>\n9,504 \u00f7 96 = 99<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\nAs the 95 can&#8217;t be shared among 96 groups. add next number.<br \/>\nDivide the tens.<br \/>\n950 tens \u00f7 96<br \/>\n96 x 9 tens = 864 tens<br \/>\n950 tens &#8211; 864 tens = 86 tens<br \/>\nDivide the ones.<br \/>\n864 ones \u00f7 96<br \/>\n96 x 9 ones = 864 ones<br \/>\n864 ones &#8211; 864 ones = 0<br \/>\nSo, 9,504 \u00f7 96 = 99<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19842\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-8.jpg\" alt=\"\" width=\"214\" height=\"250\" \/><\/p>\n<p>Question 9.<br \/>\nA rectangular section of the flame trench on Launch Pad 39A at NASA\u2019s Kennedy Space Center was damaged during the launch of the space shuttle. The area of the Discovery section damaged was 1,500 square feet. The section was 75 feet long. How wide was the section?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15366\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-3.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.8 3\" width=\"200\" height=\"168\" \/><\/p>\n<p>Answer:<br \/>\nThe section was 20 feet wide.<\/p>\n<p>Explanation:<br \/>\nDivide 1500 by 75 to get the section wide area.<br \/>\n75 x 2 tens = 150 tens<br \/>\nSo, 1500 \u00f7 75 = 20.<\/p>\n<p>Question 10.<br \/>\n<strong>Reasoning<\/strong><br \/>\nYour friend finds 6,408 \u00f7 51 and gets an answer of 124 R 84. Explain your friend\u2019s mistake.<\/p>\n<p>Answer:<br \/>\n6,408 \u00f7 51 = 125 R 33. My friend made mistake at the one&#8217;s division.<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\n64 hundreds \u00f7 51<br \/>\n51 x 1 hundred = 51 hundreds<br \/>\n64 hundreds &#8211; 51 hundreds = 13 hundreds<br \/>\nDivide the tens<br \/>\n130 tens \u00f7 51<br \/>\n51 x 2 tens = 102 tens<br \/>\n130 tens &#8211; 102 tens = 28 tens<br \/>\nDivide the ones.<br \/>\n288 ones \u00f7 51<br \/>\n51 x 5 ones = 255 ones<br \/>\n288 ones &#8211; 255 ones = 33 ones<br \/>\nSo, 6,408 \u00f7 51 = 125 R 33<\/p>\n<p>Question 11.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain why you can use multiplication to check your answer to a division problem.<\/p>\n<p>Answer:<br \/>\nMultiplication and division are the inverse operations. For example when you divide 20 by 5, the quotient is 4. And multiply 4 x 5 = 20. So, it is proved that multiplication is helpful to check whether the division is correct or not.<\/p>\n<p><strong style=\"font-size: 16px;\">Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nThe Great Barrier Reef is 2,300 kilometers long. A marine biologist studies the entire reef. He can explore no more than 75 kilometers of the reef each week. How many kilometers of the reef does the biologist explore the last week?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15367\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-4.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.8 4\" width=\"177\" height=\"163\" \/><br \/>\nDivide the total length by the length he can explore each week to find how many weeks he explores the reef.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15368\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-5.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.8 5\" width=\"292\" height=\"168\" \/><br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is ______. So, the biologist explores 75 kilometers of the reef each week for ______ weeks.<br \/>\nThe remainder is ______. There are _____ kilometers left.<br \/>\nSo, the biologist explores ______ kilometers of the reef the last week.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 12.<br \/>\nA librarian has 1,048 books to shelve. Each shelf can hold 32 books. The librarian fills each shelf before moving to another shelf. How many books are on the last shelf?<\/p>\n<p>Answer:<br \/>\nThere are 24 books on the last shelf.<\/p>\n<p>Explanation:<br \/>\nDivide 1048 by 32 to get how many books are there on the last shelf.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19851\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-15-141x300.jpg\" alt=\"\" width=\"141\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-15-141x300.jpg 141w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-15.jpg 199w\" sizes=\"(max-width: 141px) 100vw, 141px\" \/><br \/>\nSo, 1048 \u00f7 32 = 32 R 24<br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 32. So, 32 shelfs are filled with books.<br \/>\nThe remainder is 24. There are 24 books to be filled in the shelfs.<br \/>\nSo, there are 4 books on the last shelf.<\/p>\n<p>Question 13.<br \/>\nA banker receives 2,215 nickels. A standard roll of nickels contains 40 nickels. How many standard rolls of nickels can the banker make?<\/p>\n<p>Answer:<br \/>\nThe banker can make 55 standard rolls of nickels.<\/p>\n<p>Explanation:<br \/>\nDivide 2215 by 40 to get how many standard rolls of nickels can the banker make.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19853\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-16-135x300.jpg\" alt=\"\" width=\"135\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-16-135x300.jpg 135w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-16.jpg 191w\" sizes=\"(max-width: 135px) 100vw, 135px\" \/><br \/>\n2215 \u00f7 40 = 55 R 15<br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 55. So, banker can make 55 standard roll of nickels.<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA recreation director prepares the course of a 3-mile race by posting a motivational sign every 85 yards along the course. How many signs does the director use? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15369\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-6.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.8 6\" width=\"175\" height=\"147\" \/><\/p>\n<p>Answer:<br \/>\nThe director uses 65 signs.<\/p>\n<p>Explanation:<br \/>\nDivide 3 miles by 85 yards to get how many signs does the director use.<br \/>\n3 miles = 3 x 1760 = 5280 yards<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19855\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-17.jpg\" alt=\"\" width=\"201\" height=\"199\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-17.jpg 201w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-17-150x150.jpg 150w\" sizes=\"(max-width: 201px) 100vw, 201px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19856\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-18-138x300.jpg\" alt=\"\" width=\"138\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-18-138x300.jpg 138w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-18.jpg 196w\" sizes=\"(max-width: 138px) 100vw, 138px\" \/><br \/>\nThe quotient is 65.<br \/>\nSo, the director use 65 signs.<\/p>\n<h3><a id=\"Divide_Four_Digit_Numbers_by_Two_Digit_Numbers_Homework_&amp;_Practice_6.8\"><\/a>Divide Four-Digit Numbers by Two-Digit Numbers Homework &amp; Practice 6.8<\/h3>\n<p><strong>Divide. Then Check you answer.<\/strong><br \/>\nQuestion 1.<br \/>\n\\(\\sqrt [ 13 ]{ 5,343 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 13 ]{ 5,343 } \\) = 411<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\n53 hundreds \u00f7 13<br \/>\n13 x 4 hundreds = 52 hundreds<br \/>\n53 hundreds &#8211; 52 hundreds = 1 hundred<br \/>\nDivide the tens.<br \/>\n14 tens \u00f7 13<br \/>\n13 x 1 ten = 13 tens<br \/>\n14 tens &#8211; 13 tens = 1 ten<br \/>\ndivide the ones.<br \/>\n13 ones \u00f7 13<br \/>\n13 x 1 = 13 one<br \/>\n13 ones &#8211; 13 ones = 0<br \/>\nSo, \\(\\sqrt [ 13 ]{ 5,343 } \\) = 411<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19843\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-9.jpg\" alt=\"\" width=\"217\" height=\"288\" \/><\/p>\n<p>Question 2.<br \/>\n\\(\\sqrt [ 23 ]{ 32,96 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 23 ]{ 32,96 } \\) = 143 R 7<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\n32 hundreds \u00f7 23<br \/>\n23 x 1 hundred = 23 hundreds<br \/>\n32 hundreds &#8211; 23 hundreds = 9 hundreds<br \/>\nDivide the tens<br \/>\n99 tens \u00f7 23<br \/>\n23 x 4 tens = 92 tens<br \/>\n99 tens &#8211; 92 tens = 7 tens<br \/>\nDivide the ones<br \/>\n76 ones \u00f7 23<br \/>\n76 ones &#8211; 69 ones = 7 ones.<br \/>\nSo, \\(\\sqrt [ 23 ]{ 32,96 } \\) = 143 R 7<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19844\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-10.jpg\" alt=\"\" width=\"204\" height=\"286\" \/><br \/>\n3289 + 7 = 3296<\/p>\n<p>Question 3.<br \/>\n\\(\\sqrt [ 48 ]{ 1,414 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 48 ]{ 1,414 } \\) = 29 R 22<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\n14 hundreds \u00f7 48<br \/>\nAs 14 can&#8217;t be shared among 48 groups. Add next number.<br \/>\nDivide the tens.<br \/>\n141 tens \u00f7 48<br \/>\n48 x 2 tens = 96 tens<br \/>\n141 tens &#8211; 96 tens = 45 tens<br \/>\nDivide the ones.<br \/>\n454 ones \u00f7 48<br \/>\n48 x 9 ones = 432 ones<br \/>\n454 ones &#8211; 432 ones = 22 ones.<br \/>\nSo, \\(\\sqrt [ 48 ]{ 1,414 } \\) = 29 R 22<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19846\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-11.jpg\" alt=\"\" width=\"208\" height=\"248\" \/><br \/>\n1392 + 22 = 1414<\/p>\n<p>Question 4.<br \/>\n3,300 \u00f7 15 = _____<\/p>\n<p>Answer:<br \/>\n3,300 \u00f7 15 = 220<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\n33 hundreds \u00f7 15<br \/>\n15 x 2 hundreds = 30 hundreds<br \/>\n33 hundreds &#8211; 30 hundreds = 3 hundreds<br \/>\nDivide the tens.<br \/>\n30 tens \u00f7 15<br \/>\n15 x 2 tens = 30 tens<br \/>\n30 tens &#8211; 30 tens = 0<br \/>\nSo, 3,300 \u00f7 15 = 220<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19847\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-12.jpg\" alt=\"\" width=\"209\" height=\"295\" \/><\/p>\n<p>Question 5.<br \/>\n4,592 \u00f7 82 = _____<\/p>\n<p>Answer:<br \/>\n4,592 \u00f7 82 = 56<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\n45 \u00f7 82<br \/>\nAs, 45 can&#8217;t be shared among the 82 groups. So add next digit.<br \/>\nDivide the tens.<br \/>\n459 tens \u00f7 82<br \/>\n82 x 5 tens = 410 tens<br \/>\n459 tens &#8211; 410 tens = 49 tens<br \/>\nDivide the ones.<br \/>\n492 ones \u00f7 82<br \/>\n82 x 6 ones = 492 ones<br \/>\n492 ones &#8211; 492 ones = 0<br \/>\nSo, 4,592 \u00f7 82 = 56<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19848\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-13.jpg\" alt=\"\" width=\"217\" height=\"241\" \/><\/p>\n<p>Question 6.<br \/>\n8,751 \u00f7 64 = _______<\/p>\n<p>Answer:<br \/>\n8,751 \u00f7 64 = 136 R 47<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\n87 \u00f7 64<br \/>\n64 x 1 hundred = 64 hundreds<br \/>\n87 hundreds &#8211; 64 hundreds = 23 hundreds<br \/>\nDivide the tens.<br \/>\n235 tens \u00f7 64<br \/>\n64 x 3 tens = 192 tens<br \/>\n235 tens &#8211; 192 tens = 43 tens<br \/>\nDivide the ones.<br \/>\n431 ones \u00f7 64<br \/>\n64 x 6 ones = 384 ones<br \/>\n431 ones &#8211; 384 ones = 47<br \/>\nso, 8,751 \u00f7 64 = 136 R 47<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19850\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-14.jpg\" alt=\"\" width=\"195\" height=\"286\" \/><br \/>\n8704 + 47 = 8751<\/p>\n<p>Question 7.<br \/>\nA hot-air balloon travels 2,016 miles in 96 hours. The balloon travels the same number of miles each hour. How many miles does the balloon travel in 1 hour?<\/p>\n<p>Answer:<br \/>\nThe balloon travels 21 miles in 1 hour.<\/p>\n<p>Explanation:<br \/>\nDivide 2016 by 96 to get how many miles does the balloon travel in 1 hour.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19857\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-19-142x300.jpg\" alt=\"\" width=\"142\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-19-142x300.jpg 142w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-19.jpg 202w\" sizes=\"(max-width: 142px) 100vw, 142px\" \/><br \/>\nSo, the balloon travels 21 miles in 1 hour.<\/p>\n<p>Question 8.<br \/>\nThe area of the rectangle is 1,875 square feet. What is the width of the rectangle?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15370\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-7.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.8 7\" width=\"117\" height=\"161\" \/><\/p>\n<p>Answer:<br \/>\nThe width of the rectangle is 25 feet.<\/p>\n<p>Explanation:<br \/>\nDivide 1875 by 75 to get the width of the rectangle.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19858\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-20-144x300.jpg\" alt=\"\" width=\"144\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-20-144x300.jpg 144w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-20.jpg 204w\" sizes=\"(max-width: 144px) 100vw, 144px\" \/><br \/>\nSo, the rectangle width is 25 feet.<\/p>\n<p>Question 9.<br \/>\n<strong>Which One Doesn\u2019t Belong?<\/strong><br \/>\nWhich expression does not have a two-digit quotient?<br \/>\n1,955 \u00f7 85<br \/>\n6,701 \u00f7 36<br \/>\n1,699 \u00f7 54<br \/>\n2,754 \u00f7 71<\/p>\n<p>Answer:<br \/>\n6701 \u00f7 36 does not have a two-digit quotient.<\/p>\n<p>Explanation:<br \/>\nThe reason is The first two digit numbers of the dividend 67 is greater than the divisor 36.<\/p>\n<p>Question 10.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nIs your friend correct? Explain. Show how to check your friend\u2019s answer in two different ways.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15371\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-8.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 6 Divide Whole Numbers 6.8 8\" width=\"148\" height=\"133\" \/><\/p>\n<p>Answer:<br \/>\nYes, my friend is correct.<br \/>\nThe method is just divide 4300 by 61.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19859\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-21-137x300.jpg\" alt=\"\" width=\"137\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-21-137x300.jpg 137w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-21.jpg 192w\" sizes=\"(max-width: 137px) 100vw, 137px\" \/><br \/>\nSecond method is using multiplication.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19860\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-22.jpg\" alt=\"\" width=\"207\" height=\"247\" \/><br \/>\n4270 + 30 = 4300.<\/p>\n<p>Question 11.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA recycling company has 2,609 pounds of materials to sort. For efficiency, it divides all of the materials into boxes that each hold 20 pounds of materials. How many pounds of materials are in the last box?<\/p>\n<p>Answer:<br \/>\nThe last box has 9 pounds of the material.<\/p>\n<p>Explanation:<br \/>\nDivide 2609 by 20 to get how many pounds of materials are in the last box.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19861\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-23-135x300.jpg\" alt=\"\" width=\"135\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-23-135x300.jpg 135w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-23.jpg 189w\" sizes=\"(max-width: 135px) 100vw, 135px\" \/><br \/>\nSo, 2609 \u00f7 20 = 130 R 9<br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 130. So, 130 boxes are full of the materials.<br \/>\nThe remainder is 9. So the last box has 9 pounds of materials.<\/p>\n<p>Question 12.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nAn art museum has 1,025 paintings to divide equally among 20 rooms. How many more paintings does it need so that every room has the same number of paintings?<\/p>\n<p>Answer:<br \/>\n15 more paintings are required so that all the rooms have same number of paintings.<\/p>\n<p>Explanation:<br \/>\nDivide 1025 by 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19863\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-24-132x300.jpg\" alt=\"\" width=\"132\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-24-132x300.jpg 132w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-24.jpg 190w\" sizes=\"(max-width: 132px) 100vw, 132px\" \/><br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 51. So, 51 rooms are full.<br \/>\nThe remainder is 5.<br \/>\nSo, you need 20 &#8211; 5 = 15 more paintings.<\/p>\n<p>Review &amp; Refresh<\/p>\n<p>Find the difference. Then check your answer.<br \/>\nQuestion 14.<br \/>\n145.92 &#8211; 15.78 = _____<\/p>\n<p>Answer:<br \/>\n145.92 &#8211; 15.78 = 130.14<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19865\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-25.jpg\" alt=\"\" width=\"197\" height=\"171\" \/><br \/>\nAdd 130.14 + 15.78 = 145.92<\/p>\n<p>Question 15.<br \/>\n3.63 &#8211; 0.48 = ______<\/p>\n<p>Answer:<br \/>\n3.63 &#8211; 0.48 = 3.15<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19866\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.8-26.jpg\" alt=\"\" width=\"154\" height=\"185\" \/><br \/>\n3.15 + 0.48 = 3.63<\/p>\n<h3><a id=\"Lesson_6.9_Problem_Solving:_Division\"><\/a>Lesson 6.9 Problem Solving: Division<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Make a plan to solve the problem.<br \/>\nA mother giraffe weighs 11 times as much as a new born giraffe. The combined weight of the giraffes is 1,800 pounds. What is the weight of each giraffe?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15372\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.9 1\" width=\"248\" height=\"256\" \/><\/p>\n<p>Answer:<br \/>\nThe weight of the mother giraffe is 1650 pounds and the weight of the newborn giraffe is 150 pounds.<\/p>\n<p>Explanation:<br \/>\nThe weight of mother giraffe = 11 x weight of a newborn giraffe<br \/>\nMother giraffe weight + newborn giraffe weight = 1800 pounds<br \/>\n11 x weight of newborn giraffe + new born giraffe weight = 1800 pounds<br \/>\n12 weight of newborn giraffe = 1800<br \/>\nWeight of newborn giraffe = 1800 \u00f7 12 = 150<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19867\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-1-137x300.jpg\" alt=\"\" width=\"137\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-1-137x300.jpg 137w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-1.jpg 197w\" sizes=\"(max-width: 137px) 100vw, 137px\" \/><br \/>\nThe weight of mother giraffe = 11 x 150 = 1650<\/p>\n<p><strong>Make Sense of Problems<\/strong><br \/>\nHow does your plan change if the combined weight of the giraffes is 1,752 pounds? Explain.<\/p>\n<p>Answer:<br \/>\nThe weight of mother giraffe = 11 x weight of a newborn giraffe<br \/>\nMother giraffe weight + newborn giraffe weight = 1752 pounds<br \/>\n11 x weight of newborn giraffe + new born giraffe weight = 1752 pounds<br \/>\n12 weight of newborn giraffe = 1752<br \/>\nWeight of newborn giraffe = 1752 \u00f7 12 = 146<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19868\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-2-132x300.jpg\" alt=\"\" width=\"132\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-2-132x300.jpg 132w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-2.jpg 185w\" sizes=\"(max-width: 132px) 100vw, 132px\" \/><br \/>\nThe weight of mother giraffe = 146 x 11 = 1606.<br \/>\nSo, the weight of the newborn giraffe = 146 pounds, and the mother giraffe&#8217;s weight = 1606 pounds.<\/p>\n<p><strong>Think and Grow: Problem Solving: Division<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nThe length of an oil tanker is 15 times the length of a tugboat. The combined length of the boats is 304 meters. What is the length of each boat?<br \/>\n<strong>Understand the Problem<\/strong><br \/>\nWhat do you know?<br \/>\n\u2022 You need to find the length of each boat.<\/p>\n<p>What do you need to find?<br \/>\n\u2022 The length of the oil tanker is 15 times the length of the tugboat.<br \/>\n\u2022 The combined length of the boats is 304 meters.<\/p>\n<p><strong>Make a Plan<\/strong><br \/>\nHow will you solve?<br \/>\n\u2022 Draw and use tape diagrams to help write a division problem that gives the length of the tugboat.<br \/>\n\u2022 Multiply the length of the tugboat by 15 to find the length of the oil tanker.<\/p>\n<p><strong>Solve<\/strong><br \/>\nStep 1:Draw ______ part for the length of the tugboat and _____ parts for the length of the oil tanker.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15373\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-2.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.9 2\" width=\"552\" height=\"261\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-2.png 552w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-2-300x142.png 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><br \/>\nThe tugboat is _______ meters long, and the oil tanker is _____ meters long.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nExplain how you can check your answer above.<\/p>\n<p>Answer:<br \/>\nThe length of tugboat = 304 \u00f7 16 = 19<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19869\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-3-141x300.jpg\" alt=\"\" width=\"141\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-3-141x300.jpg 141w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-3.jpg 161w\" sizes=\"(max-width: 141px) 100vw, 141px\" \/><br \/>\nMultiply to find the length of oil tanker.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19870\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-4.jpg\" alt=\"\" width=\"178\" height=\"246\" \/><br \/>\n285 + 19 = 304<br \/>\nThe tugboat is 19 meters long, and the oil tanker is 304 meters long.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Understand the problem. What do you know? What do you need to find? Explain.<\/strong><br \/>\nQuestion 2.<br \/>\nA lion weighs 7 times as much as a leopard. The combined weight of the cats is 480 pounds. What is the weight of each cat?<\/p>\n<p>Answer:<br \/>\nThe leopard weight is 68 pounds and the lion weight is 408 pounds.<\/p>\n<p>Explanation:<br \/>\nDraw 1 part the weight of the leopard and 7 parts the weight of the lion.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19883\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-6-300x97.jpg\" alt=\"\" width=\"300\" height=\"97\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-6-300x97.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-6.jpg 583w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nDivide to find the weight of the leopard.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19885\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-7-115x300.jpg\" alt=\"\" width=\"115\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-7-115x300.jpg 115w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-7.jpg 132w\" sizes=\"(max-width: 115px) 100vw, 115px\" \/><br \/>\nMultiply to get the weight of the lion.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19886\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-8.jpg\" alt=\"\" width=\"181\" height=\"194\" \/><br \/>\nThe leopard weight is 68 pounds and the lion weight is 408 pounds.<\/p>\n<p>Question 3.<br \/>\nA fifth-grade class raises $1,040 for a field trip to a museum. One admission ticket costs $8 and one lunch costs $5. How many people can attend the field trip?<\/p>\n<p>Answer:<br \/>\n80 people can attend the trip.<\/p>\n<p>Explanation:<br \/>\nThe cost of trip for one person = 8 + 5 = 13<br \/>\nDivide 1040 by 13 to get how many people can attend the field trip.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19887\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-9-139x300.jpg\" alt=\"\" width=\"139\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-9-139x300.jpg 139w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-9.jpg 198w\" sizes=\"(max-width: 139px) 100vw, 139px\" \/><br \/>\nA total of 80 people can attend the trip.<\/p>\n<p><strong>Understand the problem. Then make a plan. How will you solve? Explain.<\/strong><br \/>\nQuestion 4.<br \/>\nA photo album has 15 pages. Each page can hold 6 photographs. How many of these albums do you need for 1,025 photographs?<\/p>\n<p>Answer:<br \/>\n12 albums are needed for 1025 photographs.<\/p>\n<p>Explanation:<br \/>\nMultiply 15 and 6 to get how many photos can hold an album.<br \/>\nNumber of photos in the album = 15 x 6 = 90<br \/>\nDivide 1025 by 90 to get how many albums required.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19889\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-10-136x300.jpg\" alt=\"\" width=\"136\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-10-136x300.jpg 136w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-10.jpg 190w\" sizes=\"(max-width: 136px) 100vw, 136px\" \/><br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 11. So, 11 albums have 90 photos.<br \/>\nThe remainder is 35. So, the last album has 35 photos.<br \/>\nSo, a total of 12 albums are required for 1025 photographs.<\/p>\n<p>Question 5.<br \/>\nYou, Newton, and Descartes play a video game. You have 5 times as many points as Newton. Descartes has 9 times as many points as Newton. You, Newton, and Descartes have 1,320 points in all. How many points do you have?<\/p>\n<p>Answer:<br \/>\nYou have 264 points.<\/p>\n<p>Explanation:<br \/>\nDraw 1 part of newton, 5 parts of me, and 9 parts of Descartes.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19891\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-11-300x145.jpg\" alt=\"\" width=\"300\" height=\"145\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-11-300x145.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-11.jpg 741w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nDivide 1320 by 5 to get the points you have.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19892\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-12-120x300.jpg\" alt=\"\" width=\"120\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-12-120x300.jpg 120w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-12.jpg 170w\" sizes=\"(max-width: 120px) 100vw, 120px\" \/><\/p>\n<p>Question 6.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe Amazon River is 4,000 miles long. It is 1,688 miles shorter than 3 times the length of the Rio Grande. How long is the Rio Grande?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15374\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-3.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.9 3\" width=\"212\" height=\"168\" \/><\/p>\n<p>Answer:<br \/>\nThe length of the Rio Grande is 17064 miles.<\/p>\n<p>Explanation:<br \/>\nThe length of Amazon river = 4000 miles<br \/>\nThe Rio Grande river length = 3 (4000 + 1688)<br \/>\n= 3 x 5688<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19896\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-13.jpg\" alt=\"\" width=\"257\" height=\"209\" \/><br \/>\nSo, the length of the Rio Grande is 17064 miles.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA chemist mixes 1,530 milliliters of a solution. The solution must be divided equally among 12 beakers. How much solution should be poured into each beaker?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15375\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-4.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.9 4\" width=\"135\" height=\"173\" \/><br \/>\nDivide 1,530 by 12 to find how much can be poured into each beaker.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15376\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-5.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.9 5\" width=\"156\" height=\"201\" \/><br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is ______. So, ______ milliliters of solution can be poured into each beaker.<br \/>\nThe remainder is ______. So, ______ milliliters of solution are left over.<br \/>\nThe leftover solution can also be divided equally among the 12 beakers. The number of milliliters of leftover solution poured into each beaker can be written as a fraction.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15377\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-6.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.9 6\" width=\"155\" height=\"62\" \/><br \/>\nSo, ______ milliliters should be poured into each beaker.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 7.<br \/>\nA great white shark migrates a total of 2,210 miles in 52 days. The shark travels the same number of miles each day. How many miles does the shark travel each day?<\/p>\n<p>Answer:<br \/>\nThe shark travels 42 (26 \/ 52) miles each day.<\/p>\n<p>Explanation:<br \/>\nDivide 2210 by 52 to know how many miles does the shark travel each day.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19897\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-14-137x300.jpg\" alt=\"\" width=\"137\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-14-137x300.jpg 137w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-14.jpg 186w\" sizes=\"(max-width: 137px) 100vw, 137px\" \/><br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 42. So, the shark travels 42 miles in each day.<br \/>\nThe remainder is 26. So, the shark travels must travel 26 miles.<br \/>\nThe leftover miles can also be divided equally among 52 days. It can be expressed as a fraction.<br \/>\nSo, 42 (26 \/ 52) miles should be traveled in each day.<\/p>\n<p>Question 8.<br \/>\nNewton has 2,480 baseball cards and 1,235 football cards in his collection. He wants to put all of the cards into an album. Each page holds 18 cards. How many pages does he need for all of his cards? Explain.<\/p>\n<p>Answer:<br \/>\nThe number of pages required for all cards is 206 (7\/18)<\/p>\n<p>Explanation:<br \/>\nThe number of cards = 2480 + 1235 = 3715<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19900\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-15.jpg\" alt=\"\" width=\"224\" height=\"214\" \/><br \/>\nDivide 3715 by 18 to get how many pages does he need for all of his cards.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19901\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-16-133x300.jpg\" alt=\"\" width=\"133\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-16-133x300.jpg 133w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-16.jpg 188w\" sizes=\"(max-width: 133px) 100vw, 133px\" \/><br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 206. So, 206 pages are required for all his cards.<br \/>\nThe remainder is 7. So, 7 more are leftover.<br \/>\nSo, The number of pages required for all cards is 206 (7\/18).<\/p>\n<p>Question 9.<br \/>\nDescartes has 6 large boxes with 48 party favors in each box and 5 small boxes with 16 party favors in each box. He puts 15 favors in each gift basket. How many baskets does he make? Explain.<\/p>\n<p>Answer:<br \/>\nThe number of boxes made are 24 (8\/15).<\/p>\n<p>Explanation:<br \/>\nMultiply boxes and party favors to get the number of party favors.<br \/>\n48 x 6 = 288, 5 x 16 = 80<br \/>\nParty favors at Descartes = 288 + 80 = 368<br \/>\nDivide 368 by 15 to get how many baskets does he make.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19903\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-17-147x300.jpg\" alt=\"\" width=\"147\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-17-147x300.jpg 147w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-17.jpg 168w\" sizes=\"(max-width: 147px) 100vw, 147px\" \/><br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 24. The remainder is 8.<br \/>\nSo, the number of boxes made are 24 (8\/15).<\/p>\n<p>Question 10.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWrite and solve a word problem involving division in which the remainder can be written as a fraction.<\/p>\n<p>Answer:<br \/>\nThe question is a person spends a total of $160 on his food for 30 days. The person spends the same amount each day. How much does the person spend money each day?<\/p>\n<p>Explanation:<br \/>\nDivide 160 by 30.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19904\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-18-150x300.jpg\" alt=\"\" width=\"150\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-18-150x300.jpg 150w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-18.jpg 167w\" sizes=\"(max-width: 150px) 100vw, 150px\" \/><br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 5 and the remainder is 10.<br \/>\nSo, the person spends 5(10 \/ 30) = 5(1\/3) on each day.<\/p>\n<h3><a id=\"Problem_Solving:_Division_Homework_&amp;_Practice_6.9\"><\/a>Problem Solving: Division Homework &amp; Practice 6.9<\/h3>\n<p><strong>Understand the problem. What do you know? What do you need to find? Explain.<\/strong><br \/>\nQuestion 1.<br \/>\nA DVD storage tower has 8 shelves. Each shelf can display 12 DVDs. How many storage towers does a worker need to display 1,440 DVDs?<\/p>\n<p>Answer:<br \/>\n15 storage towers are required to display 1,440 DVDs.<\/p>\n<p>Explanation:<br \/>\nNumber of DVDs at storage tower = 12 x 8 = 96<br \/>\nDivide 1440 by 96<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19910\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-19-132x300.jpg\" alt=\"\" width=\"132\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-19-132x300.jpg 132w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-19.jpg 187w\" sizes=\"(max-width: 132px) 100vw, 132px\" \/><br \/>\nSo, 15 storage towers are required to display 1,440 DVDs.<\/p>\n<p>Question 2.<br \/>\nThe Eastern Continental Trail is 15 times longer than the Erie Canalway Trail. The combined length of the hiking trails is 5,760 miles. What is the length of each hiking trail?<\/p>\n<p>Answer:<br \/>\nThe length of Erie Canalway Trail is 360 and the length of Eastern Continental Trail is 5400.<\/p>\n<p>Explanation:<br \/>\nDraw 15 parts for the length of Eastern Continental Trail and 1 part for Erie Canalway Trail.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19911\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-20-300x76.jpg\" alt=\"\" width=\"300\" height=\"76\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-20-300x76.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-20-768x196.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-20.jpg 1012w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nDivide 5760 by 16 to find the length of Erie Canalway Trail<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19914\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-21-133x300.jpg\" alt=\"\" width=\"133\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-21-133x300.jpg 133w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-21.jpg 189w\" sizes=\"(max-width: 133px) 100vw, 133px\" \/><br \/>\nMultiply to find the length of the Eastern Continental Trail.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19915\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-22.jpg\" alt=\"\" width=\"202\" height=\"240\" \/><br \/>\nThe length of the Erie Canalway Trail is 360 and the length of the Eastern Continental Trail is 5400.<\/p>\n<p><strong>Understand the problem. Then make a plan. How will you solve? Explain.<\/strong><br \/>\nQuestion 3.<br \/>\nA runner finished a total of 1,500 kilometers in races before retiring. She finished thirty-two15-kilometer races. The rest of her races were10-kilometer races. How many of her races were10-kilometer races?<\/p>\n<p>Answer:<br \/>\nHer 10-kilometer races are 102.<\/p>\n<p>Explanation:<br \/>\nThe total number of kilometers = 1500<br \/>\n15-kilometer races = 32<br \/>\n10-kilometer races = ?<br \/>\nTotal number of kilometers of 15 kilometer races = 15 x 32 = 480<br \/>\nTotal number of kilometers of 10-kilometer races = 1500 &#8211; 480 = 150 tens &#8211; 48 tens = 102 tens<br \/>\n10-kilometer races = 1020 \u00f7 10<br \/>\n= 102 tens \u00f7 ten = 102.<\/p>\n<p>Question 4.<br \/>\nYou, Newton, and Descartes volunteer this summer. You have 2 times as many volunteer minutes as Newton. Descartes has 3 times as many volunteer minutes as Newton. You, Newton, and Descartes have 5,040 volunteer minutes altogether. How many minutes do you volunteer?<\/p>\n<p>Answer:<br \/>\nI will volunteer for 1680 minutes.<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19964\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-24-300x233.jpg\" alt=\"\" width=\"300\" height=\"233\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-24-300x233.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-24.jpg 419w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nDivide 5040 by 6 to know how many minutes do newton volunteer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19965\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-25-115x300.jpg\" alt=\"\" width=\"115\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-25-115x300.jpg 115w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-25.jpg 162w\" sizes=\"(max-width: 115px) 100vw, 115px\" \/><br \/>\nSo, newton volunteer 840 minutes.<br \/>\nMultiply 840 x 2 to get how many minutes you volunteer.<br \/>\nI will volunteer for 1680 minutes.<\/p>\n<p>Question 5.<br \/>\nA factory packs boxes with glitter pens. One box can hold 36 glitter pens. The factory produces 5,982 glitter pens. The factory fills as many boxes as possible. How many glitter pens will not fit into the boxes?<\/p>\n<p>Answer:<br \/>\n30 glitter pens will not fit into the boxes.<\/p>\n<p>Explanation:<br \/>\nDivide 5982 by 36<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19966\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-26-133x300.jpg\" alt=\"\" width=\"133\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-26-133x300.jpg 133w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-26.jpg 188w\" sizes=\"(max-width: 133px) 100vw, 133px\" \/><br \/>\nThe remainder is 30. So, 30 glitter pens will not fit into the boxes.<\/p>\n<p>Question 6.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe Burj Khalifa in Dubai is the tallest building in the world, at 2,717 feet. It is 217 feet taller than 5 times the height that the Dubai Fountain reaches. How high does the Dubai Fountain reach?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15378\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-7.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.9 7\" width=\"114\" height=\"145\" \/><\/p>\n<p>Answer:<br \/>\nDubai Fountain should reach 500 feet high.<\/p>\n<p>Explanation:<br \/>\nThe height of Burj Khalifa in Dubai = 2717 feet<br \/>\n2717 &#8211; 217 = 2500<br \/>\nDivide 2500 by 5 to get how high does the Dubai Fountain reach.<br \/>\n25 hundreds \u00f7 5 = 5 hundreds.<br \/>\nSo, Dubai Fountain should reach 500 feet high.<\/p>\n<p>Question 7.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA woodworker spends a total of 162 hours making 24 birdhouses. He spends the same amount of time on each birdhouse. How many hours does he spend on each birdhouse?<\/p>\n<p>Answer:<br \/>\nHe spends 6(3\/4) hours on each birdhouse.<\/p>\n<p>Explanation:<br \/>\nDivide 162 by 24.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19966\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-26-133x300.jpg\" alt=\"\" width=\"133\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-26-133x300.jpg 133w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-26.jpg 188w\" sizes=\"(max-width: 133px) 100vw, 133px\" \/><br \/>\nThe quotient is 6 and the remainder is 18.<br \/>\nSo, he spends 6 (18\/24) = 6(3\/4) hours on each birdhouse.<\/p>\n<p>Question 8.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA truck driver drives 2,580 miles in 40 hours. He drives the same number of miles each hour. How many miles does he drive each hour?<\/p>\n<p>Answer:<br \/>\nHe drives 64 (\/2) miles each hour.<\/p>\n<p>Explanation:<br \/>\nDivide 2580 by 40 to find how many miles does he drive each hour.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19963\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-23-136x300.jpg\" alt=\"\" width=\"136\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-23-136x300.jpg 136w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-23.jpg 192w\" sizes=\"(max-width: 136px) 100vw, 136px\" \/><br \/>\nInterpret the quotient and the remainder.<br \/>\nThe quotient is 64. The remainder is 20<br \/>\nSo, He drives 64 (20\/40) = 64 (1\/2) miles each hour.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15379\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-8.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.9 8\" width=\"59\" height=\"66\" \/><\/p>\n<p>Answer:<br \/>\n4.71<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19967\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-28.jpg\" alt=\"\" width=\"167\" height=\"198\" \/><\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15380\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-9.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.9 9\" width=\"72\" height=\"69\" \/><\/p>\n<p>Answer:<br \/>\n111.696<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19968\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-29.jpg\" alt=\"\" width=\"280\" height=\"292\" \/><\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15381\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-10.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 6 Divide Whole Numbers 6.9 10\" width=\"57\" height=\"68\" \/><\/p>\n<p>Answer:<br \/>\n0.368<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19969\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-30.jpg\" alt=\"\" width=\"167\" height=\"198\" \/><\/p>\n<h3><a id=\"Divide_Whole_Numbers_Performance_Task\"><\/a>Divide Whole Numbers Performance Task<\/h3>\n<p>You are planning a family road trip to see your cousin 448 miles away.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15382\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 1\" width=\"232\" height=\"167\" \/><br \/>\nQuestion 1.<br \/>\nYour family will drive about 55 miles each hour during the trip.<br \/>\na.About how many hours will your family spend driving?<br \/>\nb.You plan to leave at 8:00 A.M. and make two equal-length stops. You want to reach your cousin\u2019s home by 5:30 P.M. How many minutes can you spend at each stop?<br \/>\nc.The roads will be under construction on the return trip home, so you will travel fewer than 55 miles each hour. Will the driving time be longer than or shorter than 8 hours? Use an example to justify your answer.<\/p>\n<p>Answer:<br \/>\na. My family spends 8(8\/55) on driving.<br \/>\nb. I can spend 90 minutes at each stop.<br \/>\nc. The driving times is longer than 8 hours.<\/p>\n<p>Explanation:<br \/>\na. Divide 448 by 55<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19970\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-31-149x300.jpg\" alt=\"\" width=\"149\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-31-149x300.jpg 149w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-31.jpg 171w\" sizes=\"(max-width: 149px) 100vw, 149px\" \/><br \/>\nThe quotient is 8 and the remainder is 8.<br \/>\nSo, my family spends 8(8\/55) on driving.<br \/>\nb. As it takes 8 hours. Without taking any stops you will reach the destination by 4:00 PM. 5:30 &#8211; 4:00 = 1:30. So, 180 minutes \/ 2 = 90 minutes. So, i can spend 90 minutes at each stop.<br \/>\nc. As the driving time per one hour is more than 55 miles. So, the\u00a0driving times is longer than 8 hours.<\/p>\n<p>Question 2.<br \/>\nYou want to estimate the amount of money your family will spend on gasoline during your road trip.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15383\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-2.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 2\" width=\"214\" height=\"181\" \/><br \/>\na. On a previous road trip, your family drove 150 miles using about 5 gallons of gasoline. About how many miles did your family drive using 1 gallon of gasoline?<br \/>\nb. Research the price of 1 gallon of gasoline in your area. Estimate the amount of money your family will spend on gasoline to drive to your cousin\u2019s home and back.<br \/>\nc. Your aunt offers to let your family borrow her hybrid car. Your aunt drives about 47 miles using 1 gallon of gasoline. About how much money will your family save on gasoline if they borrow your aunt\u2019s hybrid car Most hybrid cars use gasoline and for the trip?<\/p>\n<p>Answer:<br \/>\na. My family drives 30 miles using 1 gallon of gasoline.<br \/>\nb. My family spends $10 on gasoline<br \/>\nc. you can save $28 on the trip.<\/p>\n<p>Explanation:<br \/>\na. Divide 150 by 5.<br \/>\n15 tens \u00f7 5 = 3 tens = 30<br \/>\nSo, My family drives 30 miles using 1 gallon of gasoline.<br \/>\nb. 1 gallon of gasoline = $2<br \/>\nDivide 896 by 150<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19998\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-32-166x300.jpg\" alt=\"\" width=\"166\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-32-166x300.jpg 166w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.9-32.jpg 190w\" sizes=\"(max-width: 166px) 100vw, 166px\" \/><br \/>\nThe quantity of gasoline required = 5 (146\/150)<br \/>\nAmount = 5 x 2= 10<br \/>\nc. Divide 896 by 47<br \/>\n896 \u00f7 47 = 19<br \/>\nAmount = 19 x 2 = 38<br \/>\n38 &#8211; 10 = 28<\/p>\n<h3><a id=\"Divide_Whole_Numbers_Activity\"><\/a>Divide Whole Numbers Activity<\/h3>\n<p><strong>Division Dot<\/strong><br \/>\n<strong>Directions:<\/strong><br \/>\n1. Players take turns connecting two dots, each using a different color.<br \/>\n2. On your turn, connect two dots, vertically or horizontally. If you close a square around a division problem, then find and write the quotient and the remainder. If you do not close a square,then your turn is over.<br \/>\n3. Continue playing until all division problems are solved.<br \/>\n4. The player with the most completed squares wins!<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15384\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-3.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers 3\" width=\"688\" height=\"713\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-3.png 688w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-3-289x300.png 289w\" sizes=\"(max-width: 688px) 100vw, 688px\" \/><\/p>\n<p>Answer:<br \/>\n9623 \u00f7 54 = 178 R 11<br \/>\n758 \u00f7 11 = 68 R 10<br \/>\n8484 \u00f7 21 = 404 R 0<br \/>\n945 \u00f7 15 = 63 R 0<br \/>\n160 \u00f7 38 = 4 R 8<br \/>\n4500 \u00f7 20 = 225 R 0<br \/>\n548 \u00f7 47 = 11 R 31<br \/>\n1344 \u00f7 48 = 28 R 0<br \/>\n3947 \u00f733 = 119 R 20<br \/>\n832 \u00f7 64 = 13 R 0<br \/>\n7313 \u00f771 = 103 R 0<br \/>\n394 \u00f7 27 = 14 R 16<br \/>\n476 \u00f753 = 8 R 52<br \/>\n5208 \u00f7 93 = 56 R 0<br \/>\n216 \u00f718 = 12 R 0<br \/>\n6378 \u00f7 24 = 265 R 18<\/p>\n<h3><a id=\"Divide_Whole_Numbers_Chapter_Practice\"><\/a>Divide Whole Numbers Chapter Practice<\/h3>\n<p><strong>6.1 Relate Multiplication and Division<\/strong><\/p>\n<p><strong>Use multiplication to \ufb01nd the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n78 \u00f7 6 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15385\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-chp-1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers chp 1\" width=\"273\" height=\"109\" \/><\/p>\n<p>Answer:<br \/>\n78 \u00f7 6 = 13.<\/p>\n<p>Explanation:<br \/>\n78 = 60 + 18<br \/>\n78 = (6 x _) + (6 x _)<br \/>\nSum of unknown factors of the smallest areas: 10 + 3 = 13<br \/>\nThe related multiplication equation is 6 x 13 = 78. So, 78 \u00f7 6 = 13.<\/p>\n<p>Question 2.<br \/>\n76 \u00f7 4 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15386\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-chp-2.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers chp 2\" width=\"270\" height=\"119\" \/><\/p>\n<p>Answer:<br \/>\n76 \u00f7 4 = 19.<\/p>\n<p>Explanation:<br \/>\n76 = 40 + 36<br \/>\n76 = (4 x _) + (4 x _)<br \/>\nSum of unknown factors of the smallest areas: 10 + 9 = 19<br \/>\nThe related multiplication equation is 4 x 19 = 76<\/p>\n<p>Question 3.<br \/>\n105 \u00f7 5 = _____<\/p>\n<p>Answer:<br \/>\n105 \u00f7 5 = 21.<\/p>\n<p>Explanation:<br \/>\n105 = 50 + 55<br \/>\n105 = (5 x _) + (5 x _)<br \/>\nSum of unknown factors of the smallest areas: 10 + 11 = 21<br \/>\nThe related multiplication equation is 5 x 21 = 105<\/p>\n<p>Question 4.<br \/>\n288 \u00f7 8 = _____<\/p>\n<p>Answer:<br \/>\n288 \u00f7 8 = 36.<\/p>\n<p>Explanation:<br \/>\n288 = 160 + 128<br \/>\n288 = (8 x _) + (8 x _)<br \/>\nSum of unknown factors of the smallest areas: 20 + 16 = 36<br \/>\nThe related multiplication equation is 8 x 36 = 288<\/p>\n<p><strong>6.2 Division Patterns<\/strong><\/p>\n<p><strong>Find the quotient.<\/strong><br \/>\nQuestion 5.<br \/>\n4,500 \u00f7 5 = ______<\/p>\n<p>Answer:<br \/>\n4,500 \u00f7 5 = 900.<\/p>\n<p>Explanation:<br \/>\n4,500 \u00f7 5 = 45 hundreds \u00f7 5<br \/>\n= 9 hundreds = 900.<\/p>\n<p>Question 6.<br \/>\n140 \u00f7 70 = _____<\/p>\n<p>Answer:<br \/>\n140 \u00f7 70 = 2.<\/p>\n<p>Explanation:<br \/>\n140 \u00f7 70 = 14 tens \u00f7 7 tens<br \/>\n= 14 \u00f7 7 = 2.<\/p>\n<p>Question 7.<br \/>\n160 \u00f7 20 = _____<\/p>\n<p>Answer:<br \/>\n160 \u00f7 20 = 8.<\/p>\n<p>Explanation:<br \/>\n160 \u00f7 20 = 16 tens \u00f7 2 tens<br \/>\n= 16 \u00f7 2 = 8<\/p>\n<p>Question 8.<br \/>\n720 \u00f7 9 = ______<\/p>\n<p>Answer:<br \/>\n720 \u00f7 9 = 80.<\/p>\n<p>Explanation:<br \/>\n720 \u00f7 9 = 72 tens \u00f7 9<br \/>\n= 8 tens = 80.<\/p>\n<p>Question 9.<br \/>\n4,900 \u00f7 70 = ______<\/p>\n<p>Answer:<br \/>\n4,900 \u00f7 70 = 70.<\/p>\n<p>Explanation:<br \/>\n4,900 \u00f7 70 = 49 hundreds \u00f7 7 tens<br \/>\n= 49 tens \u00f7 7 = 7 tens = 70<\/p>\n<p>Question 10.<br \/>\n10,000 \u00f7 5 = ______<\/p>\n<p>Answer:<br \/>\n10,000 \u00f7 5 = 2000.<\/p>\n<p>Explanation:<br \/>\n10,000 \u00f7 5 = 10 thousands \u00f7 5<br \/>\n= 2 thousands = 2000.<\/p>\n<p><strong>6.3 Estimate Quotients<\/strong><\/p>\n<p><strong>Find two numbers that the quotient is between.<\/strong><br \/>\nQuestion 11.<br \/>\n604 \u00f7 19<br \/>\n600 \u00f7 20 = _____<br \/>\n800 \u00f7 20 = _____<\/p>\n<p>Answer:<br \/>\n600 \u00f7 20 = 30<br \/>\n800 \u00f7 20 = 40<\/p>\n<p>Explanation:<br \/>\n600 \u00f7 20 = 6 hundreds \u00f7 2 tens<br \/>\n= 6 tens \u00f7 2 = 3 tens = 30<br \/>\n800 \u00f7 20 = 8 hundreds \u00f7 2 tens<br \/>\n= 8 tens \u00f7 2 = 4 tens = 40<\/p>\n<p>Question 12.<br \/>\n1,732 \u00f7 40<br \/>\n1,600 \u00f7 40 = ______<br \/>\n2,000 \u00f7 40 = _______<\/p>\n<p>Answer:<br \/>\n1,600 \u00f7 40 = 40<br \/>\n2,000 \u00f7 40 = 50<\/p>\n<p>Explanation:<br \/>\n1,600 \u00f7 40 = 16 hundreds \u00f7 4 tens<br \/>\n= 16 tens \u00f7 4 = 4 tens = 40<br \/>\n2,000 \u00f7 40 = 20 hundreds \u00f7 4 tens<br \/>\n= 20 tens \u00f7 4 = 5 tens = 50<\/p>\n<p>Question 13.<br \/>\n4,096 \u00f7 61<\/p>\n<p>Answer:<br \/>\n3600 \u00f7 60 = 60<br \/>\n4200 \u00f7 60 = 70.<\/p>\n<p>Explanation:<br \/>\nChoose What numbers close to 4069 are easily divided by 60?<br \/>\n4200 \u00f7 60 = 42 hundreds \u00f7 6 tens<br \/>\n= 42 tens \u00f7 6 = 7 tens = 70<br \/>\n3600 \u00f7 60 = 36 hundreds \u00f7 6 tens<br \/>\n= 36 tens \u00f7 6 = 6 tens = 60<\/p>\n<p><strong>Estimate the quotient.<\/strong><br \/>\nQuestion 14.<br \/>\n3,411 \u00f7 53<\/p>\n<p>Answer:<br \/>\n3,411 \u00f7 53 = 70.<\/p>\n<p>Explanation:<br \/>\nChoose What numbers close to 3411 are easily divided by 50?<br \/>\n3500 \u00f7 50 = 35 hundreds \u00f7 5 tens = 35 tens \u00f7 5 = 7 tens<br \/>\n3000 \u00f7 50 = 30 hundreds \u00f7 5 tens = 30 tens \u00f7 5 = 6 tens<br \/>\nSo, choose 3500 is near to 3411 and divided by 50.<\/p>\n<p>Question 15.<br \/>\n1,678 \u00f7 92<\/p>\n<p>Answer:<br \/>\n1,678 \u00f7 92 = 20<\/p>\n<p>Explanation:<br \/>\nChoose What numbers close to 1678 are easily divided by 90?<br \/>\n900 \u00f7 90 = 9 hundreds \u00f7 9 tens = 9 tens \u00f7 9 = 1 ten<br \/>\n1800 \u00f7 90 = 18 hundreds \u00f7 9 tens = 18 tens \u00f7 9 = 2 tens<br \/>\nSo, select 1800 near to 1678 and divided by 90.<\/p>\n<p>Question 16.<br \/>\n6,581 \u00f7 77<\/p>\n<p>Answer:<br \/>\n6,581 \u00f7 77 = 80.<\/p>\n<p>Explanation:<br \/>\nChoose what numbers are near to 581 and are easily divided by 80 near to 77.<br \/>\n6400 \u00f7 80 = 64 hundreds \u00f7 8 tens = 64 tens \u00f7 8 = 8 tens<br \/>\n7200 \u00f7 80 = 72 hundreds \u00f7 8 tens = 72 tens \u00f7 8 = 9 tens<br \/>\nSo, choose 6400 close to 6581 which is divided by 80 close to 77.<\/p>\n<p>Question 17.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend finds the quotient. Estimate to check whether your friend\u2019s answer is reasonable?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15387\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-chp-17.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers chp 17\" width=\"126\" height=\"50\" \/><\/p>\n<p>Answer:<br \/>\nNot reasonable.<\/p>\n<p>Explanation:<br \/>\nChoose what numbers are close to 924 and divided by 20 near to 22.<br \/>\n800 \u00f7 20 = 8 hundreds \u00f7 2 tens = 8 tens \u00f7 2 = 4 tens<br \/>\n1000 \u00f7 20 = 10 hundreds \u00f7 2 tens = 10 tens \u00f7 2 = 5 tens<br \/>\nSo, select 1000 near to 924 and divided by 20.<\/p>\n<p><strong>6.4 Divide by One-Digit Numbers<\/strong><\/p>\n<p><strong>Divide. Then check your answer.<\/strong><br \/>\nQuestion 18.<br \/>\n\\(\\sqrt [ 5 ]{ 415 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 5 ]{ 415 } \\) = 83.<\/p>\n<p>Explanation:<br \/>\nDivide the tens<br \/>\n41 tens \u00f7 5<br \/>\n8 tens x 5<br \/>\n41 tens &#8211; 40 tens<br \/>\nthere is 1 ten leftover.<br \/>\nDivide the ones.<br \/>\n15 ones \u00f7 5<br \/>\n3 ones x 5<br \/>\n15 ones &#8211; 15 ones<br \/>\nThere are 0 ones left over.<br \/>\nSo, 415 \u00f7 5 = 83<\/p>\n<p>Question 19.<br \/>\n\\(\\sqrt [ 6 ]{ 6,432 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 6 ]{ 6,432 } \\) = 1072<\/p>\n<p>Explanation:<br \/>\nDivide the thousands.<br \/>\n6 thousands \u00f7 6<br \/>\n6 x 1 thousand<br \/>\n6 thousands &#8211; 6 thousands<br \/>\nThere is 0 thousand left over.<br \/>\nDivide the tens.<br \/>\n43 tens \u00f7 6<br \/>\n6 x 7 tens<br \/>\n43 tens &#8211; 42 tens<br \/>\nThere is 1 ten left over.<br \/>\nSo, \\(\\sqrt [ 6 ]{ 6,432 } \\) = 1072<\/p>\n<p>Question 20.<br \/>\n\\(\\sqrt [ 9 ]{ 5,628 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 9 ]{ 5,628 } \\) = 625 R 3<\/p>\n<p>Explanation:<br \/>\nDivide the hundreds.<br \/>\n56 hundreds \u00f7 9<br \/>\n9 x 4 hundreds<br \/>\n56 hundreds &#8211; 54 hundreds<br \/>\nThere are 2 hundreds left over<br \/>\nDivide the tens<br \/>\n22 tens \u00f7 9<br \/>\n9 x 2 tens<br \/>\n22 tens &#8211; 18 tens<br \/>\nThere are 4 tens left over<br \/>\nDivide the ones<br \/>\n48 ones \u00f7 9<br \/>\n9 x 5 ones<br \/>\n48 ones &#8211; 45 ones<br \/>\nThere are 3 ones left.<br \/>\nSo, \\(\\sqrt [ 9 ]{ 5,628 } \\) = 625 R 3<\/p>\n<p>Question 21.<br \/>\n8,021 \u00f7 7 = ______<\/p>\n<p>Answer:<br \/>\n8,021 \u00f7 7 = 1145 R 6<\/p>\n<p>Explanation:<br \/>\nDivide the thousands<br \/>\n8 hundreds \u00f7 7<br \/>\n7 x 10 hundreds<br \/>\n80 hundreds &#8211; 70 hundreds<br \/>\nThere are 10 hundreds eft over.<br \/>\ndivide the tens.<br \/>\n102 tens \u00f7 7<br \/>\n7 x 14 tens<br \/>\n102 tens &#8211; 98 tens<br \/>\nThere are 4 tens left over.<br \/>\n41 ones \u00f7 7<br \/>\n7 x 5 ones<br \/>\n41 ones &#8211; 35 ones<br \/>\nThere are 6 ones left over.<br \/>\nSo, 8,021 \u00f7 7 = 1145 R 6<\/p>\n<p>Question 22.<br \/>\n817 \u00f7 8 = ______<\/p>\n<p>Answer:<br \/>\n817 \u00f7 8 = 102 R 1<\/p>\n<p>Explanation:<br \/>\nDivide the hundreds<br \/>\n8 hundreds \u00f7 8<br \/>\n8 x 1 hundred<br \/>\n8 hundreds &#8211; 8 hundreds<br \/>\nThere are 0 hundreds left over<br \/>\nDivide the ones.<br \/>\n17 ones \u00f7 8<br \/>\n8 x 2 ones<br \/>\n17 ones &#8211; 16 ones<br \/>\nThere are 1 one left over<br \/>\nSo, 817 \u00f7 8 = 102 R 1<\/p>\n<p>Question 23.<br \/>\n3,007 \u00f7 3 = ______<\/p>\n<p>Answer:<br \/>\n3,007 \u00f7 3 = 1002 R 1<\/p>\n<p>Explanation:<br \/>\nDivide the thousand<br \/>\n3 thousand \u00f7 3<br \/>\n3 thousand x 1<br \/>\n3 thousand &#8211; 3 thousand<br \/>\nthere are 0 thousand left over.<br \/>\nDivide the ones.<br \/>\n7 ones \u00f7 3<br \/>\n3 x 2 ones<br \/>\n7 ones &#8211; 6 ones<br \/>\nThere are 1 one leftover.<br \/>\nSo, 3,007 \u00f7 3 = 1002 R 1<\/p>\n<p><strong>6.5 Use Partial Quotients to Divide by Two-Digit Numbers<\/strong><\/p>\n<p><strong>Use partial quotients to divide.<\/strong><br \/>\nQuestion 24.<br \/>\n156 \u00f7 13<\/p>\n<p>Answer:<br \/>\n156 \u00f7 13 = 43<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19971\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-139x300.jpg\" alt=\"\" width=\"139\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-139x300.jpg 139w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0.jpg 158w\" sizes=\"(max-width: 139px) 100vw, 139px\" \/><br \/>\nPartial quotients = 40 + 3 = 43<\/p>\n<p>Question 25.<br \/>\n208 \u00f7 16<\/p>\n<p>Answer:<br \/>\n208 \u00f7 16 = 13<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19972\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-1-141x300.jpg\" alt=\"\" width=\"141\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-1-141x300.jpg 141w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-1.jpg 164w\" sizes=\"(max-width: 141px) 100vw, 141px\" \/><br \/>\nPartial quotients = 10 + 3 = 13<\/p>\n<p><strong>6.6 Use Partial Quotients with a Remainder<\/strong><\/p>\n<p><strong>Use partial quotients to divide.<\/strong><br \/>\nQuestion 26.<br \/>\n\\(\\sqrt [ 50 ]{ 805 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 50 ]{ 805 } \\) = 53 R 10<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19974\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-2-147x300.jpg\" alt=\"\" width=\"147\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-2-147x300.jpg 147w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-2.jpg 166w\" sizes=\"(max-width: 147px) 100vw, 147px\" \/><br \/>\nPartial quotients = 50 + 3<br \/>\nSo, \\(\\sqrt [ 50 ]{ 805 } \\) = 53 R 10<\/p>\n<p>Question 27.<br \/>\n\\(\\sqrt [ 18 ]{ 741 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 18 ]{ 741 } \\) = 41 R 3<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19976\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-3-148x300.jpg\" alt=\"\" width=\"148\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-3-148x300.jpg 148w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-3.jpg 165w\" sizes=\"(max-width: 148px) 100vw, 148px\" \/><br \/>\nPartial qo=uotients = 40 + 1 = 41<br \/>\nSo, \\(\\sqrt [ 18 ]{ 741 } \\) = 41 R 3.<\/p>\n<p>Question 28.<br \/>\n\\(\\sqrt [ 48 ]{ 2,500 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 48 ]{ 2,500 } \\) = 52 R 4<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19977\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-4-141x300.jpg\" alt=\"\" width=\"141\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-4-141x300.jpg 141w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-4.jpg 200w\" sizes=\"(max-width: 141px) 100vw, 141px\" \/><br \/>\nPartial quotients = 50 + 2 = 52<br \/>\nSo, \\(\\sqrt [ 48 ]{ 2,500 } \\) = 52 R 4<\/p>\n<p>Question 29.<br \/>\n792 \u00f7 13 = ______<\/p>\n<p>Answer:<br \/>\n792 \u00f7 13 = 60 R 12<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19978\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-5-144x300.jpg\" alt=\"\" width=\"144\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-5-144x300.jpg 144w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-5.jpg 171w\" sizes=\"(max-width: 144px) 100vw, 144px\" \/><br \/>\nPartial quotients = 60<br \/>\nSo, 792 \u00f7 13 = 60 R 12<\/p>\n<p>Question 30.<br \/>\n3,982 \u00f7 25 = _____<\/p>\n<p>Answer:<br \/>\n3,982 \u00f7 25 = 159 R 7<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19979\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-6-136x300.jpg\" alt=\"\" width=\"136\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-6-136x300.jpg 136w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-6.jpg 192w\" sizes=\"(max-width: 136px) 100vw, 136px\" \/><br \/>\nPartial quotients = 100 + 50 + 9 = 159<br \/>\nSo, 3,982 \u00f7 25 = 159 R 7<\/p>\n<p>Question 31.<br \/>\n6,927 \u00f7 68 = ____<\/p>\n<p>Answer:<br \/>\n6,927 \u00f7 68 = 101 R 59<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19980\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-7-148x300.jpg\" alt=\"\" width=\"148\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-7-148x300.jpg 148w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-7.jpg 214w\" sizes=\"(max-width: 148px) 100vw, 148px\" \/><br \/>\nPartial quotients = 100 + 1 = 101<br \/>\nSo, 6,927 \u00f7 68 = 101 R 59<\/p>\n<p>Question 32.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThere are 405 projects in a science fair. The coordinator displays the projects in rows of 42. How many rows have exactly 42 projects?<\/p>\n<p>Answer:<br \/>\n9 rows have exactly 42 projects.<\/p>\n<p>Explanation:<br \/>\nDivide 405 by 42.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19981\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-8-157x300.jpg\" alt=\"\" width=\"157\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-8-157x300.jpg 157w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-8.jpg 181w\" sizes=\"(max-width: 157px) 100vw, 157px\" \/><br \/>\n9 rows have exactly 42 projects.<\/p>\n<p><strong>6.7 Divide Three-Digit Numbers by Two-Digit Numbers<\/strong><\/p>\n<p><strong>Divide. Then check your answer.<\/strong><br \/>\nQuestion 33.<br \/>\n\\(\\sqrt [ 31 ]{ 961 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 31 ]{ 961 } \\) = 31<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the hundreds place.<br \/>\nDivide the tens.<br \/>\n96 tens \u00f7 31<br \/>\n3 tens x 31 = 93 tens<br \/>\n96 tens \u2013 93 tens = 3 tens<br \/>\nDivide the ones.<br \/>\n31 one \u00f7 31<br \/>\n31 x 1 one = 31 ones<br \/>\n31 ones &#8211; 31 ones = 0<br \/>\nThere are 0 ones leftover.<br \/>\nSo, \\(\\sqrt [ 31 ]{ 961 } \\) = 31<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19986\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-9.jpg\" alt=\"\" width=\"176\" height=\"244\" \/><\/p>\n<p>Question 34.<br \/>\n\\(\\sqrt [ 27 ]{ 803 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 27 ]{ 803 } \\) = 28 R 47<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the hundreds place.<br \/>\nDivide the tens.<br \/>\n80 tens \u00f7 27<br \/>\n2 tens x 27 = 54 tens<br \/>\n80 tens \u2013 54 tens = 26 tens<br \/>\nDivide the ones.<br \/>\n263 one \u00f7 27<br \/>\n27 x 8 one = 216 ones<br \/>\n263 one \u2013 216 ones = 47<br \/>\nRegroup 2 tens and 8 ones.<br \/>\nSo, \\(\\sqrt [ 27 ]{ 803 } \\) = 28 R 47<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19988\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-10.jpg\" alt=\"\" width=\"170\" height=\"244\" \/><br \/>\n756 + 47 = 803.<\/p>\n<p>Question 35.<br \/>\n\\(\\sqrt [ 19 ]{ 245 } \\)<\/p>\n<p>Answer:<br \/>\n\\(\\sqrt [ 19 ]{ 245 } \\) = 12 R 17<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the hundreds place.<br \/>\nDivide the tens.<br \/>\n24 tens \u00f7 19<br \/>\n1 ten x 19 = 19 tens<br \/>\n24 tens \u2013 19 tens = 5 tens<br \/>\nDivide the ones.<br \/>\n55 one \u00f7 19<br \/>\n19 x 2 one = 38 ones<br \/>\n55 one \u2013 38 ones = 17 ones<br \/>\nRegroup 1 tens and 2 ones.<br \/>\nSo, \\(\\sqrt [ 19 ]{ 245 } \\) = 12 R 17<br \/>\nUse multiplication to check your answer.<br \/>\n12 x 19 = 228<br \/>\n228 + 17 = 245.<\/p>\n<p><strong>6.8 Divide Four-Digit Numbers by Two-Digit Numbers<\/strong><\/p>\n<p><strong>Divide. Then check your answer.<\/strong><br \/>\nQuestion 36.<br \/>\n6,636 \u00f7 84 = _____<\/p>\n<p>Answer:<br \/>\n6,636 \u00f7 84 = 79<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\n66 hundreds \u00f7 84<br \/>\n66 hundreds cannot be shared among 84 groups without regrouping.<br \/>\nSo, add next number.<br \/>\nDivide the tens.<br \/>\n663 tens \u00f7 84<br \/>\n84 x 7 tens = 588 tens<br \/>\n663 tens\u00a0 \u2013 588 tens = 75 tens<br \/>\nThere are 75 tens left over.<br \/>\nDivide the ones.<br \/>\n756 ones \u00f7 84<br \/>\n84 x 9 one = 756 ones<br \/>\n756 ones \u2013 756 ones = 0<br \/>\nSo, 6,636 \u00f7 84 = 79<br \/>\nUse multiplication to check your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-19993\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-11.jpg\" alt=\"\" width=\"204\" height=\"249\" \/><\/p>\n<p>Question 37.<br \/>\n2,418 \u00f7 21 = ______<\/p>\n<p>Answer:<br \/>\n2,418 \u00f7 21 = 115 R 3<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\n24 hundreds \u00f7 21<br \/>\n21 x 1 hundred<br \/>\n24 hundreds &#8211; 21 hundreds<br \/>\nThere are 3 hundreds left over.<br \/>\nDivide the tens.<br \/>\n31 tens \u00f7 21<br \/>\n21 x 1 tens = 21 tens<br \/>\n31 tens \u2013 21 tens = 10 tens<br \/>\nThere are 10 tens left over.<br \/>\nDivide the ones.<br \/>\n108 ones \u00f7 21<br \/>\n21 x 5 one = 105 ones<br \/>\n108 ones \u2013 105 ones = 3<br \/>\nSo, 2,418 \u00f7 21 = 115 R 3<br \/>\nUse multiplication to check your answer.<br \/>\n115 x 21 = 2415<br \/>\n2415 + 3 = 2418.<\/p>\n<p>Question 38.<br \/>\n4,960 \u00f7 62 = _____<\/p>\n<p>Answer:<br \/>\n4,960 \u00f7 62 = 80<\/p>\n<p>Explanation:<br \/>\nThe first digit is in the thousands place.<br \/>\nDivide the hundreds.<br \/>\n49 hundreds \u00f7 62<br \/>\n49 hundreds cannot be shared among 62 groups without regrouping.<br \/>\nSo, add next number.<br \/>\nDivide the tens.<br \/>\n496 tens \u00f7 62<br \/>\n62 x 8 tens = 496 tens<br \/>\n496 tens \u2013 496 tens = 0 tens<br \/>\nThere are 0 tens left over.<br \/>\nSo, 4,960 \u00f7 62 = 80<br \/>\nUse multiplication to check your answer.<br \/>\n62 x 80 = 4960.<\/p>\n<p><strong>6.9 Problem Solving: Division<\/strong><\/p>\n<p>Question 39.<br \/>\nThe weight of a giant panda is 10 times the weight of a red panda. The combined weight of the pandas is 220 pounds. What is the weight of each panda?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15388\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-6-Divide-Whole-Numbers-chp-39.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 6 Divide Whole Numbers chp 39\" width=\"215\" height=\"131\" \/><\/p>\n<p>Answer:<br \/>\nThe weight of red panda is 20. The weight of gaint panda is 200.<\/p>\n<p>Explanation:<br \/>\nThe weight of giant panda = 10 x weight of red panda<br \/>\nThe weight of giant panda + weight of red panda = 220<br \/>\n10 x weight of red panda + weight of red panda = 220<br \/>\n11 x weight of red panda = 220<br \/>\ndivide 220 by 11<br \/>\n22 tens \u00f7 11 = 2 tens<br \/>\nThe weight of a red panda is 20.<br \/>\nThe weight of gaint panda = 10 x 20 = 200.<\/p>\n<p>Question 40.<br \/>\nA company fills claw arcade machines with stuffed animals. One machine can hold 50 stuffed animals. The company has 2,357 stuffed animals. The company fills as many machines as possible. How many stuffed animals do not fit into the machines?<\/p>\n<p>Answer:<br \/>\nThere are 25 stuffed animals do not fit into machines.<\/p>\n<p>Explanation:<br \/>\nDivide 2375 by 50.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-19997\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-12-138x300.jpg\" alt=\"\" width=\"138\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-12-138x300.jpg 138w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-6-Divide-Whole-Numbers-6.0-12.jpg 199w\" sizes=\"(max-width: 138px) 100vw, 138px\" \/><br \/>\nThe quotient is 47 and the remainder is 25.<br \/>\nSo there are 25 stuffed animals do not fit into machine.<\/p>\n<p><em>Conclusion:<\/em><\/p>\n<p>Before going to start the preparation learn the topics covered here and learn. We have also included a short and crisp explanation for the questions. Make use of Go Math Grade 5 Chapter 6 Solution Key and score better grades in your exams. Bookmark our site to get detailed solutions for all the Big Ideas Math Grade 5 Chapters.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Do you want to overcome the difficult Grade 5 Chapter 6 Divide Whole Numbers math learning? Then, get connected to this page. Learn every part of this page to get the best learning way. We have provided Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers on this page. Download Big Ideas Math &#8230; <a title=\"Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5-chapter-6\/\" aria-label=\"More on Big Ideas Math Answers Grade 5 Chapter 6 Divide Whole Numbers\">Read more<\/a><\/p>\n","protected":false},"author":10,"featured_media":89705,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[4],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-6-Divide-Whole-Numbers.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/15281"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/10"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=15281"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/15281\/revisions"}],"predecessor-version":[{"id":90250,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/15281\/revisions\/90250"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/89705"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=15281"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=15281"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=15281"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}