{"id":11314,"date":"2022-04-07T10:15:45","date_gmt":"2022-04-07T04:45:45","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=11314"},"modified":"2022-04-07T11:37:12","modified_gmt":"2022-04-07T06:07:12","slug":"big-ideas-math-answers-grade-3-chapter-4","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-3-chapter-4\/","title":{"rendered":"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies"},"content":{"rendered":"<p>Big Ideas Math Grade 3 Chapter 4 Division Facts and Strategies Solutions in the pdf format is provided here. Students have to be perfect in the basics of mathematics. So, everyone must download free <a href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-3\/\">Big ideas Math Book Grade 3<\/a> Chapter 4 Division Facts and Strategies Answer Key PDFand start their preparation. This handy and user-friendly answer key provides the answer and detailed solution for each and every problem in BIM 3rd Grade 4th Chapter Textbook. It will help the students while doing assignments and homework.<\/p>\n<h2>Big Ideas Math 3rd Grade Chapter 4 Division Facts and Strategies Answer Key<\/h2>\n<p>By solving the questions from Big Ideas Math Book Grade 3 Chapter 4 Division Facts and Strategies, you will know how to divide two numbers and different methods to solve it. The different topics covered in the Division Facts and Strategies chapter are Use Arrays to Divide, Relate Multiplication and Division, Divide by 2, 5, or 10, Divide by 3 or 4, Divide by 6 or 7, Divide by 8 or 9, and Divide by 0 or 1.<\/p>\n<p>After solving the division problems from all these lessons, you have practice strategies where you can check your skills. The success criteria of <a href=\"https:\/\/ccssmathanswers.com\/big-ideas-math-answers\/\">Big Ideas Math Answers<\/a> Grade 3 Chapter 4 Divison Facts and Strategies is able to compare multiplication and divison, know what is dividend, divisor, and quotient and can explain divison equation in an array. For the perfect preparation, you can tap on the links and download Answers for Big Ideas Math Book Grade 3 Chapter 4 Division Facts and Strategies.<\/p>\n<p><strong>Lesson &#8211; 1: Use Arrays to Divide<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_4.1_Use_Arrays_to_Divide\">Lesson 4.1 Use Arrays to Divide<\/a><\/li>\n<li><a href=\"#Use_Arrays_to_Divide_Homework_&amp;_Practice_4.1\">Use Arrays to Divide Homework &amp; Practice 4.1<\/a><\/li>\n<\/ul>\n<p><strong>Lesson &#8211; 2: Relate Multiplication and Division<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_4.2_Relate_Multiplication_and_Division\">Lesson 4.2 Relate Multiplication and Division<\/a><\/li>\n<li><a href=\"#Relate_Multiplication_and_Division_Homework_&amp;_Practice_4.2\">Relate Multiplication and Division Homework &amp; Practice 4.2<\/a><\/li>\n<\/ul>\n<p><strong>Lesson &#8211; 3: Divide by 2, 5, or 10<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_4.3_Divide_by_2,_5,_or_10\">Lesson 4.3 Divide by 2, 5, or 10<\/a><\/li>\n<li><a href=\"#Divide_by_2,_5,_or_10_Homework_&amp;_Practice_4.3\">Divide by 2, 5, or 10 Homework &amp; Practice 4.3<\/a><\/li>\n<\/ul>\n<p><strong>Lesson &#8211; 4: Divide by 3 or 4<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_4.4_Divide_by_3_or_4\">Lesson 4.4 Divide by 3 or 4<\/a><\/li>\n<li><a href=\"#Divide_by_3_or_4_Homework_&amp;_Practice_4.4\">Divide by 3 or 4 Homework &amp; Practice 4.4<\/a><\/li>\n<\/ul>\n<p><strong>Lesson &#8211; 5: Divide by 6 or 7<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_4.5_Divide_by_6_or_7\">Lesson 4.5 Divide by 6 or 7<\/a><\/li>\n<li><a href=\"#Divide_by_6_or_7_Homework_&amp;_Practice_4.5\">Divide by 6 or 7 Homework &amp; Practice 4.5<\/a><\/li>\n<\/ul>\n<p><strong>Lesson &#8211; 6: Divide by 8 or 9<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_4.6_Divide_by_8_or_9\">Lesson 4.6 Divide by 8 or 9<\/a><\/li>\n<li><a href=\"#Divide_by_8_or_9_Homework_&amp;_Practice_4.6\">Divide by 8 or 9 Homework &amp; Practice 4.6<\/a><\/li>\n<\/ul>\n<p><strong>Lesson &#8211; 7: Divide by 0 or 1<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_4.7_Divide_by_0_or_1\">Lesson 4.7 Divide by 0 or 1<\/a><\/li>\n<li><a href=\"#Divide_by_0_or_1_Homework_&amp;_Practice_4.7\">Divide by 0 or 1 Homework &amp; Practice 4.7<\/a><\/li>\n<\/ul>\n<p><strong>Lesson &#8211; 8: Practice Division Strategies<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_4.8_Practice_Division_Strategies\">Lesson 4.8 Practice Division Strategies<\/a><\/li>\n<li><a href=\"#Practice_Division_Strategies_Homework_&amp;_Practice_4.8\">Practice Division Strategies Homework &amp; Practice 4.8<\/a><\/li>\n<\/ul>\n<p><strong>Lesson &#8211; 9: Problem Solving: Division<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_4.9_Problem_Solving:_Division\">Lesson 4.9 Problem Solving: Division<\/a><\/li>\n<li>Problem Solving: Division Homework &amp; Practice 4.9<\/li>\n<\/ul>\n<p><strong>Performance Task<\/strong><\/p>\n<ul>\n<li><a href=\"#Division_Facts_and_Strategies_Performance_Task\">Division Facts and Strategies Performance Task<\/a><\/li>\n<li><a href=\"#Division_Facts_and_Strategies_Activity\">Division Facts and Strategies Activity<\/a><\/li>\n<li><a href=\"#Division_Facts_and_Strategies_Chapter_Practice\">Division Facts and Strategies Chapter Practice<\/a><\/li>\n<li><a href=\"#Division_Facts_and_Strategies_Cumulative_Practice\">Division Facts and Strategies Cumulative Practice<\/a><\/li>\n<li><a href=\"#Division_Facts_and_Strategies_STEAM_Performance_Task\">Division Facts and Strategies STEAM Performance Task<\/a><\/li>\n<\/ul>\n<h3><a id=\"Lesson_4.1_Use_Arrays_to_Divide\"><\/a>Lesson 4.1 Use Arrays to Divide<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Build an array to model 12. Draw the array.<br \/>\nNumber of rows: _______<br \/>\nNumber in each row: ______<br \/>\nAnswer:<br \/>\nNumber of rows: 4<br \/>\nNumber in each row: 3<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-13619\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-Strategies-img_1-1.jpg\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts &amp; Strategies img_1\" width=\"120\" height=\"161\" \/><\/p>\n<p><strong>Structure<\/strong><br \/>\nCompare your array with your partner\u2019s array. How are they the same? How are they different?<br \/>\nAnswer: The number of counters is the same but the rows and columns are different.<\/p>\n<p><strong>Think and Grow: Division and Arrays<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nThere are 40 counters. The counters are in5 equal rows. How many counters are in each row?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11315\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.1-1.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.1 1\" width=\"626\" height=\"365\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.1-1.png 626w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.1-1-300x175.png 300w\" sizes=\"(max-width: 626px) 100vw, 626px\" \/><br \/>\nThere are ______ counters in each row.<\/p>\n<p>Answer: 8<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 5<br \/>\nTotal number of counters = 40<br \/>\nSo, the division equation is 40 \u00f7 5 = 8<br \/>\nThere are 8 counters in each row.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11316\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.1-2.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.1 2\" width=\"164\" height=\"61\" \/><br \/>\n14 \u00f7 2 = _____<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nNumber of counters = 14<br \/>\nNumber of rows = 2<br \/>\nTo find the quotient you have to divide the number of counters by the number of rows.<br \/>\n14 \u00f7 2 = 7<br \/>\nThus the number of columns in each row = 7<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11317\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.1-3.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.1 3\" width=\"94\" height=\"76\" \/><br \/>\n12 \u00f7 3 = ______<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nNumber of counters = 12<br \/>\nNumber of rows = 3<br \/>\nTo find the quotient you have to divide the number of counters by the number of rows.<br \/>\n12 \u00f7 3 = 4<br \/>\nThus the number of columns in each row = 4<\/p>\n<p>Question 3.<br \/>\nThere are 20 counters. The counters are in 4 equal rows. How many counters are in each row?<br \/>\n4 rows of _____<br \/>\n20 \u00f7 4 = _____<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nThere are 20 counters. The counters are in 4 equal rows.<br \/>\nTo find the quotient you have to divide the number of counters by the number of rows.<br \/>\n20 \u00f7 4 = 5<br \/>\n4 rows of 5<br \/>\nThere are 5 counters in each row.<\/p>\n<p>Question 4.<br \/>\nYou have 21 counters. You arrange them with 7 counters in each row. How many rows of counters do you make?<br \/>\n____ rows of 7<br \/>\n21 \u00f7 7 = _____<br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nYou have 21 counters. You arrange them with 7 counters in each row.<br \/>\n21 \u00f7 7 = 3<br \/>\n3 rows 7<br \/>\nThus you make 3 rows of 7 counters.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Question 5.<br \/>\nThere are 25 counters. The counters are in 5 equal rows. How many counters are in each row?<br \/>\n5 rows of _____<br \/>\n25 \u00f7 5 = _____<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nThere are 25 counters.<br \/>\nThe counters are in 5 equal rows.<br \/>\nTo find the quotient you have to divide the number of counters by the number of rows.<br \/>\n25 \u00f7 5 = 5<br \/>\nThere are 5 counters in each row.<\/p>\n<p>Question 6.<br \/>\nThere are 48 counters. The counters are in 8 equal rows. How many counters are in each row?<br \/>\n8 rows of _____<br \/>\n48 \u00f7 8 = _____<br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nThere are 48 counters. The counters are in 8 equal rows.<br \/>\nTo find the quotient you have to divide the number of counters by the number of rows.<br \/>\n48 \u00f7 8 = 6<br \/>\n8 rows of 6 counters<br \/>\nThere are 6 counters in each row.<\/p>\n<p>Question 7.<br \/>\nYou have 42 counters. You arrange them with 6 counters in each row. How many rows of counters do you make?<br \/>\n____ rows of 6<br \/>\n42 \u00f7 6 = _____<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nYou have 42 counters. You arrange them with 6 counters in each row.<br \/>\n7 rows of 6<br \/>\n42 \u00f7 6 = 7<br \/>\nThere are 7 rows of counters.<\/p>\n<p>Question 8.<br \/>\nYou have 27 counters. You arrange them with 9 counters in each row. How many rows of counters do you make?<br \/>\n____ rows of 9<br \/>\n27 \u00f7 9 = _____<br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nYou have 27 counters. You arrange them with 9 counters in each row.<br \/>\n27 \u00f7 9 = 3<br \/>\n3 rows of 9.<br \/>\nThere are 3 rows of counters.<\/p>\n<p><strong>Write a division equation for the array.<\/strong><br \/>\nQuestion 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11318\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.1-4.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.1 4\" width=\"66\" height=\"97\" \/><br \/>\n_____ \u00f7 _____ = _____<br \/>\nAnswer: 4 \u00f7 2 = 2<\/p>\n<p>Explanation:<br \/>\nThere are 4 rows and 2 counters.<br \/>\nThe division equation for the array is 4 \u00f7 2 = 2<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11319\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.1-5.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.1 5\" width=\"238\" height=\"90\" \/><br \/>\n____ \u00f7 _____ = _____<br \/>\nAnswer: 40 \u00f7 4 = 10<\/p>\n<p>Explanation:<br \/>\nThere are 4 rows and 40 counters.<br \/>\nThe division equation for the array is 40 \u00f7 4 = 10<\/p>\n<p>Question 11.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend has 63 counters in 7 equal rows. Your friend says that finding 7 \u00f7 63 will give the number of columns. Is your friend correct? Explain.<br \/>\nAnswer: No your friend is incorrect.<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nYour friend has 63 counters in 7 equal rows.<br \/>\nYour friend says that finding 7 \u00f7 63 will give the number of columns.<br \/>\nYour friend is incorrect because you have to divide the number of counters by a number of equal rows.<br \/>\n63 \u00f7 7 = 9<br \/>\nThere are 9 columns.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>Two groups of students are playing a flip and find game. Your group arranges 48 cards in 8 equal rows. The other group arranges 28 cards in 4 equal rows. Which group has rows with more cards?<br \/>\nDraw:<br \/>\nDivision equations:<br \/>\n_______ has rows with more cards.<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nTwo groups of students are playing a flip and find game.<br \/>\nYour group arranges 48 cards in 8 equal rows.<br \/>\n48 \u00f7 8 = 6 in each row<br \/>\nThe other group arranges 28 cards in 4 equal rows.<br \/>\n28 \u00f7 4 = 7 in each row.<br \/>\nThe second group has 7 rows with more cards.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 12.<br \/>\nNewton arranges 12 magnets in 6 equal rows. Descartes arranges 15 magnets in 3 equal rows. Who has rows with more magnets?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11320\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.1-6.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.1 6\" width=\"138\" height=\"218\" \/><br \/>\nAnswer:<br \/>\nGiven,<br \/>\nNewton arranges 12 magnets in 6 equal rows.<br \/>\n12 \u00f7 6 = 2<br \/>\nDescartes arranges 15 magnets in 3 equal rows.<br \/>\n15 \u00f7 3 = 5<br \/>\nThus Descartes has 5 rows with more magnets.<\/p>\n<p>Question 13.<br \/>\nYou have 18 jars of green slime and 12 jars of purple slime at a party. Each guest takes 3 jars. There are none left. How many guests are at the party?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11321\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.1-7.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.1 7\" width=\"207\" height=\"155\" \/><br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nYou have 18 jars of green slime and 12 jars of purple slime at a party.<br \/>\n18 + 12 = 30 jars<br \/>\nEach guest takes 3 jars. There are none left.<br \/>\n30 \u00f7 3 = 10<br \/>\nThus there are 10 guests at the party.<\/p>\n<h3><a id=\"Use_Arrays_to_Divide_Homework_&amp;_Practice_4.1\"><\/a>Use Arrays to Divide Homework &amp; Practice 4.1<\/h3>\n<p><strong>Find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11322\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.1-8.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.1 8\" width=\"128\" height=\"59\" \/><br \/>\n10 \u00f7 2 = _____<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nNumber of counters = 10<br \/>\nNumber of rows = 2<br \/>\nTo find the quotient you have to divide the number of counters by the number of rows.<br \/>\n10 \u00f7 2 = 5<br \/>\nThus there are 5 counters in each row.<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11323\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.1-9.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.1 9\" width=\"161\" height=\"115\" \/><br \/>\n35 \u00f7 5 = _____<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nNumber of counters = 35<br \/>\nNumber of rows = 5<br \/>\nTo find the quotient you have to divide the number of counters by the number of rows.<br \/>\n35 \u00f7 5 = 7<br \/>\nThus there are 7 counters in each row.<\/p>\n<p>Question 3.<br \/>\nThere are 9 counters. The counters are in 3 equal rows. How many counters are in each row?<br \/>\n3 rows of ____<br \/>\n9 \u00f7 3 = ____<br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nThere are 9 counters. The counters are in 3 equal rows.<br \/>\nTo find the quotient you have to divide the number of counters by the number of rows.<br \/>\n9 \u00f7 3 = 3<br \/>\n3 rows of 3<br \/>\nThus there are 3 counters in each row.<\/p>\n<p>Question 4.<br \/>\nThere are 60 counters. The counters are in 6 equal rows. How many counters are in each row?<br \/>\n6 rows of _____<br \/>\n60 \u00f7 6 = ____<br \/>\nAnswer: 10.<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nThere are 60 counters.<br \/>\nThe counters are in 6 equal rows.<br \/>\nTo find the number of counters in each row you have to divide the total number of counters by the number of rows.<br \/>\n60 \u00f7 6 = 10<br \/>\n6 rows of 10 counters<br \/>\nThus there are 10 counters in each row.<\/p>\n<p>Question 5.<br \/>\nYou have 72 counters. You arrange them with 8 counters in each row. How many rows of counters do you make?<br \/>\n____ rows of 8<br \/>\n72 \u00f7 8 = ____<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nYou have 72 counters. You arrange them with 8 counters in each row.<br \/>\nTo find the number of counters in each row you have to divide the total number of counters by the number of rows.<br \/>\n72 \u00f7 8 = 9<br \/>\n9 rows of 8.<br \/>\nThus there are 9 counters in each row.<\/p>\n<p>Question 6.<br \/>\nYou have 24 counters. You arrange them with 6 counters in each row. How many rows of counters do you make?<br \/>\n____ rows of 6<br \/>\n24 \u00f7 6 = ____<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nYou have 24 counters. You arrange them with 6 counters in each row.<br \/>\n24 \u00f7 6 = 4<br \/>\n4 rows of 6<br \/>\nThus there are 4 counters in each row.<\/p>\n<p>Question 7.<br \/>\nWriting<br \/>\nHow can you use an array to find 35 \u00f7 7?<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nNumber of counters = 35<br \/>\nNumber of rows = 7<br \/>\nTo find the number of counters in each row you have to divide the total number of counters by the number of rows.<br \/>\n35 \u00f7 7 = 5<\/p>\n<p>Question 8.<br \/>\n<strong>Precision<\/strong><br \/>\nLabel the parts of the division problem using quotient, dividend and divisor.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11324\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.1-10.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.1 10\" width=\"391\" height=\"186\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.1-10.png 391w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.1-10-300x143.png 300w\" sizes=\"(max-width: 391px) 100vw, 391px\" \/><br \/>\nAnswer:<br \/>\n12 is dividend<br \/>\n6 is divisor and<br \/>\n2 is quotient<\/p>\n<p>Question 9.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYour apartment building has 40 mailboxes in 5 equal rows. Your friend\u2019s apartment building has 40 mailboxes in 4 equal rows. Which apartment building has rows with more mailboxes?<br \/>\nAnswer: Your friend\u2019s apartment building 10 rows with more mailboxes<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nYour apartment building has 40 mailboxes in 5 equal rows.<br \/>\n40 \u00f7 5 = 8<br \/>\nYour friend\u2019s apartment building has 40 mailboxes in 4 equal rows.<br \/>\n40 \u00f7 4 = 10<br \/>\nThus Your friend\u2019s apartment building 10 rows with more mailboxes.<\/p>\n<p>Question 10.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThere are 8 snack bags of pretzels and 10 snack bags of popcorn. The bags are divided equally between 9 friends. How many snack bags does each friend get?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11325\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.1-11.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.1 11\" width=\"258\" height=\"201\" \/><br \/>\nAnswer:<br \/>\nGiven,<br \/>\nThere are 8 snack bags of pretzels and 10 snack bags of popcorn.<br \/>\n8 + 10 = 18 snack bags<br \/>\nThe bags are divided equally between 9 friends.<br \/>\n18 \u00f7 9 = 2<br \/>\nThus each friend gets 2 snack bags.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the missing factor<\/strong><br \/>\nQuestion 11.<br \/>\n____ \u00d7 2 = 20<br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\nLet the missing factor be a.<br \/>\na \u00d7 2 = 20<br \/>\na = 20\/2<br \/>\na = 10<br \/>\nThus the missing factor is 10.<\/p>\n<p>Question 12.<br \/>\n1 \u00d7 ____ = 5<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nLet the missing factor be b.<br \/>\n1 \u00d7 b = 5<br \/>\nb = 5\/1<br \/>\nb = 5<br \/>\nThus the missing factor is 5.<\/p>\n<p>Question 13.<br \/>\n____ \u00d7 6 = 0<br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nLet the missing factor be c.<br \/>\nc \u00d7 6 = 0<br \/>\nc = 0\/6<br \/>\nc = 0<br \/>\nThus the missing factor is 0.<\/p>\n<p>Question 14.<br \/>\n1 \u00d7 ___ = 0<br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nLet the missing factor be d.<br \/>\n1 \u00d7 d = 0<br \/>\nd = 0\/1<br \/>\nd = 0<br \/>\nThus the missing factor is 0.<\/p>\n<p>Question 15.<br \/>\n____ \u00d7 4 = 40<br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\nLet the missing factor be e.<br \/>\ne \u00d7 4 = 40<br \/>\ne = 40\/4<br \/>\ne = 10<br \/>\nThus the missing factor is 10.<\/p>\n<p>Question 16.<br \/>\n7 \u00d7 ____ = 7<br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\nLet the missing factor be f.<br \/>\n7 \u00d7 f = 7<br \/>\nf = 7\/7<br \/>\nf = 1<br \/>\nThus the missing factor is 1.<\/p>\n<h3><a id=\"Lesson_4.2_Relate_Multiplication_and_Division\"><\/a>Lesson 4.2 Relate Multiplication and Division<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use 24 counters to make an array. Draw the array. Write a multiplication equation and a division equation for the array.<br \/>\n____ \u00d7 ____ = _____<br \/>\n_____ \u00f7 ____ = ____<br \/>\nAnswer: 6 \u00d7 4 = 24<br \/>\n24 \u00f7 6 = 4<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-13989\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-Strategies-img_2-300x193.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts &amp; Strategies img_2\" width=\"300\" height=\"193\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-Strategies-img_2-300x193.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-Strategies-img_2.png 374w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\nThe division equation is 24 \u00f7 6 = 4 or 24 \u00f7 4 = 6<\/p>\n<p><strong>Structure<\/strong><br \/>\nCompare your equations to your partner\u2019s equations. How are they the same? How are they different?<br \/>\nAnswer:<br \/>\nBoth the equations are the same but the rows and columns are different.<\/p>\n<p><strong>Think and Grow: Multiplication and Division<\/strong><\/p>\n<p>A fact family is a group of related facts that uses the same numbers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11326\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-1.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.2 1\" width=\"616\" height=\"254\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-1.png 616w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-1-300x124.png 300w\" sizes=\"(max-width: 616px) 100vw, 616px\" \/><\/p>\n<p>Answer:<br \/>\nMultiplication:<br \/>\n5 rows of 6 counters<br \/>\n5 \u00d7 6 = 30<br \/>\n30 counters<br \/>\nDivision:<br \/>\n30 counters in 5 equal rows<br \/>\n30 \u00f7 5 = 6<br \/>\n60 counters in each row.<br \/>\nFact family for 5, 6 and 30:<br \/>\n5 \u00d7 6 = 30<br \/>\n6 \u00d7 5 = 30<br \/>\n30 \u00f7 5 = 6<br \/>\n30 \u00f7 6 = 5<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Use the array to complete the equations.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11327\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-2.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.2 2\" width=\"188\" height=\"87\" \/><br \/>\n3 \u00d7 ____ = 24<br \/>\n24 \u00f7 3 = ____<br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 3<br \/>\nNumber of counters = 24<br \/>\nTo find the number of counters in each row you have to divide the total number of counters by the number of rows.<br \/>\n24 \u00f7 3 = 8<br \/>\n3 \u00d7 x = 24<br \/>\nx = 24\/3<br \/>\nx = 8<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11328\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-3.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.2 3\" width=\"121\" height=\"90\" \/><br \/>\n4 \u00d7 ____ = 20<br \/>\n20 \u00f7 4 = _____<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 4<br \/>\nNumber of counters = 20<br \/>\nTo find the number of counters in each row you have to divide the total number of counters by the number of rows.<br \/>\n4 \u00d7 x = 20<br \/>\nx = 20\/4<br \/>\nx = 5<br \/>\n20 \u00f7 4 = 5<\/p>\n<p>Question 3.<br \/>\nDraw an array to find 2 \u00d7 7. Write the other facts in the fact family.<br \/>\n2 \u00d7 7 = _____<br \/>\n___________<br \/>\n___________<br \/>\n___________<br \/>\nAnswer: 14<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-13990\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-3rd-Grade-Answers-Chapter-4-Division-Facts-Strategies-img_3.png\" alt=\"BIM 3rd Grade Answers Chapter 4 Division Facts &amp; Strategies img_3\" width=\"245\" height=\"206\" \/><br \/>\nThe fact family for the numbers 2, 7 and 14<br \/>\n2 \u00d7 7 = 14<br \/>\n7 \u00d7 2 = 14<br \/>\n14 \u00f7 2 = 7<br \/>\n14 \u00f7 7 = 2<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Question 4.<br \/>\nDraw an array to find 3 \u00d7 6.<br \/>\nWrite the other 3 facts in the fact family.<br \/>\n3 \u00d7 6 = ______<br \/>\n____________<br \/>\n_____________<br \/>\n____________<br \/>\nAnswer: 18<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-13991\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-Strategies-img_4.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts &amp; Strategies img_4\" width=\"240\" height=\"125\" \/><br \/>\nThe fact family for 3, 6 and 18 are<br \/>\n3 \u00d7 6 = 18<br \/>\n6 \u00d7 3 = 18<br \/>\n18 \u00f7 3 = 6<br \/>\n18 \u00f7 6 = 3<\/p>\n<p><strong>Complete the fact family.<\/strong><br \/>\nQuestion 5.<br \/>\n7 \u00d7 ____ = 70<br \/>\n____ \u00d7 7 = 70<br \/>\n70 \u00f7 10 = ____<br \/>\n70 \u00f7 ___ = 10<br \/>\nAnswer:<br \/>\nThe fact family for 7, 10 and 70 are:<br \/>\n7 \u00d7 10 = 70<br \/>\n10 \u00d7 7 = 70<br \/>\n70 \u00f7 10 = 7<br \/>\n70 \u00f7 7 = 10<\/p>\n<p>Question 6.<br \/>\n5 \u00d7 ____ = 40<br \/>\n____ \u00d7 5 = 40<br \/>\n40 \u00f7 8 = _____<br \/>\n40 \u00f7 ____ = 8<br \/>\nAnswer:<br \/>\nThe fact family for 5, 8 and 40 are:<br \/>\n5 \u00d7 8 = 40<br \/>\n8 \u00d7 5 = 40<br \/>\n40 \u00f7 8 = 5<br \/>\n40 \u00f7 5 = 8<\/p>\n<p><strong>Write the fact family for the numbers.<\/strong><br \/>\nQuestion 7.<br \/>\n2, 5, 10<br \/>\nAnswer:<br \/>\nThe fact family for 2, 5 and 10 are:<br \/>\n2 \u00d7 5 = 10<br \/>\n5 \u00d7 2 = 10<br \/>\n10 \u00f7 2 = 5<br \/>\n10 \u00f7 5 = 2<\/p>\n<p>Question 8.<br \/>\n4, 3, 12<br \/>\nAnswer:<br \/>\nThe fact family for 3, 4 and 12 are:<br \/>\n4 \u00d7 3 = 12<br \/>\n3 \u00d7 4 = 12<br \/>\n12 \u00f7 3 = 4<br \/>\n12 \u00f7 4 = 3<\/p>\n<p>Question 9.<br \/>\n<strong>Structure<\/strong><br \/>\nFind each product. Then match the multiplication fact with the related division fact.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11329\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-4.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.2 4\" width=\"378\" height=\"148\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-4.png 378w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-4-300x117.png 300w\" sizes=\"(max-width: 378px) 100vw, 378px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-13992\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-4-300x117.jpg\" alt=\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-4\" width=\"300\" height=\"117\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-4-300x117.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-4.jpg 378w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 10.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nIs 4 \u00d7 6 = 24 part of the fact family for 3 \u00d7 8 = 24? Explain.<br \/>\nAnswer: No. Because the rows and columns are different.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>Your teacher divides the items shown equally among 9 students. Write two equations that you can use to show how many straws each student gets.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11330\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-5.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.2 5\" width=\"260\" height=\"157\" \/><br \/>\nDivision equation:<br \/>\nMultiplication equation:<\/p>\n<p>Answer:<br \/>\nYour teacher divides the items shown equally among 9 students.<br \/>\nStraws &#8211; 54<br \/>\n54 \u00f7 9 = 6<br \/>\nThus each student gets 6 straws.<br \/>\nDivision Equation is 54 \u00f7 9 = 6<br \/>\nMultiplication equation 9 \u00d7 6 = 54<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 11.<br \/>\nUse the table above to write two equations that you can use to show how many containers of clay each student gets.<br \/>\nAnswer:<br \/>\nYour teacher divides the items shown equally among 9 students.<br \/>\nContainers of the day &#8211; 27<br \/>\n27 \u00f7 9 = 3<br \/>\nDivision Equation is 27 \u00f7 9 = 3<br \/>\nMultiplication equation is 3 \u00d7 9 = 27<\/p>\n<p>Question 12.<br \/>\nUse the table above to find how many more toothpicks students will get than straws.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11331\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-6.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.2 6\" width=\"240\" height=\"290\" \/><br \/>\nAnswer:<br \/>\nYour teacher divides the items shown equally among 9 students.<br \/>\nToothpicks &#8211; 72<br \/>\n72 \u00f7 9 = 8<br \/>\nEach student gets 8 toothpicks<br \/>\nStraws &#8211; 54<br \/>\n54 \u00f7 9 = 6<br \/>\nThus each student gets 6 straws.<br \/>\n8 &#8211; 6 = 2<br \/>\nThus Each student will get 2 toothpicks more than the straws.<\/p>\n<p>Question 13.<br \/>\nExplain how a multiplication fact can help you solve 30 \u00f7 3 = _____.<br \/>\nAnswer: 10 \u00d7 3 = 30<\/p>\n<p>Explanation:<br \/>\nThe multiplication fact to help you to solve 30 \u00f7 3 is 10 \u00d7 3.<br \/>\nBy using the multiplication fact you can get the solution for 30 \u00f7 3 = 10<\/p>\n<h3><a id=\"Relate_Multiplication_and_Division_Homework_&amp;_Practice_4.2\"><\/a>Relate Multiplication and Division Homework &amp; Practice 4.2<\/h3>\n<p><strong>Use the array to complete the equations<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11332\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-7.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.2 7\" width=\"95\" height=\"65\" \/><br \/>\n2 \u00d7 ___ = 8<br \/>\n8 \u00f7 2 = _____<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nNumber of counters = 8<br \/>\nNumber of rows = 2<br \/>\n8 \u00f7 2 = 4<br \/>\n2 \u00d7 x = 8<br \/>\nx = 8\/2<br \/>\nx = 4<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11333\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-8.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.2 8\" width=\"75\" height=\"80\" \/><br \/>\n3 \u00d7 ____ = 9<br \/>\n9 \u00f7 3 = ____<br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nNumber of counters = 9<br \/>\nNumber of rows\u00a0 = 3<br \/>\n3 \u00d7 x = 9<br \/>\nx = 9\/3<br \/>\nx = 3<br \/>\n9 \u00f7 3 = 3<\/p>\n<p>Question 3.<br \/>\nDraw an array to find 5 \u00d7 7. Write the other 3 facts in the fact family.<br \/>\n5 \u00d7 7 = _____<br \/>\n___________<br \/>\n___________<br \/>\n___________<br \/>\nAnswer: 35<\/p>\n<p>Explanation:<br \/>\nThe other 3 facts are<br \/>\n5 \u00d7 7 = 35<br \/>\n7 \u00d7 5 = 35<br \/>\n35 \u00f7 5 = 7<br \/>\n35 \u00f7 7 = 5<\/p>\n<p><strong>Complete the fact family<\/strong><br \/>\nQuestion 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11334\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-9.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.2 9\" width=\"289\" height=\"80\" \/><br \/>\nAnswer: 1, 9<\/p>\n<p>Explanation:<br \/>\n9 \u00d7 1 = 9<br \/>\n9 \u00f7 1 = 9<br \/>\n1 \u00d7 9 = 9<br \/>\n9 \u00f7 9 = 1<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11335\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-10.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.2 10\" width=\"301\" height=\"79\" \/><br \/>\nAnswer: 7, 6<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 7 = 42<br \/>\n42 \u00f7 7 = 6<br \/>\n7 \u00d7 6 = 42<br \/>\n42 \u00f7 6 = 7<\/p>\n<p><strong>Write the fact family for the numbers.<\/strong><br \/>\nQuestion 6.<br \/>\n4, 8, 32<br \/>\nAnswer: 8 \u00d7 4 = 32, 32 \u00f7 4 = 8, 32 \u00f7 8 = 4<\/p>\n<p>Explanation:<br \/>\nThe facts family for the numbers are<br \/>\n4 \u00d7 8 = 32<br \/>\n8 \u00d7 4 = 32<br \/>\n32 \u00f7 8 = 4<br \/>\n32 \u00f7 4 = 8<\/p>\n<p>Question 7.<br \/>\n6, 7, 42<br \/>\nAnswer: 6 \u00d7 7 = 42, 42 \u00f7 6 = 7, 42 \u00f7 7 = 6<\/p>\n<p>Explanation:<br \/>\nThe facts family for the numbers are<br \/>\n6 \u00d7 7 = 42<br \/>\n7 \u00d7 6 = 42<br \/>\n42 \u00f7 7 = 6<br \/>\n42 \u00f7 6 = 7<\/p>\n<p>Question 8.<br \/>\n<strong>Which One Doesn\u2019t Belong?<\/strong><br \/>\nWhich equation does not belong with the other three?<br \/>\n3 \u00d7 7 = 21<br \/>\n7 \u00d7 3 = 21<br \/>\n21 \u00f7 7 = 3<br \/>\n7 + 3 = 10<br \/>\nAnswer: 7 + 3 = 10<\/p>\n<p>Explanation:<br \/>\nThe equation that does not belong to other three equation is 7 + 3 = 10.<\/p>\n<p>Question 9.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nNewton has 16 pennies. He wants to put them in stacks that are the same height. How many stacks does he make?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11336\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-11.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.2 11\" width=\"118\" height=\"138\" \/><br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nNewton has 16 pennies. He wants to put them in stacks that are the same height.<br \/>\n16 \u00f7 8 = 2<br \/>\nThus he makes 2 stacks.<\/p>\n<p>Question 10.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYour art teacher divides the items shown equally among 6 students. Write two equations that you can use to show how many pieces of paper each student gets.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11337\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-12.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.2 12\" width=\"239\" height=\"146\" \/><br \/>\nAnswer:<br \/>\nGiven<br \/>\nYour art teacher divides the items shown equally among 6 students.<br \/>\n48 \u00f7 6 = 8 paintbrushes<br \/>\n42 \u00f7 6 = 7 pieces of paper<br \/>\nThus each student gets 7 pieces of paper.<\/p>\n<p>Question 11.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nUse the table above to find how many more paintbrushes students will get than paint trays.<br \/>\nAnswer:<br \/>\nYour art teacher divides the items shown equally among 6 students.<br \/>\n18 \u00f7 6 = 3 paint trays<br \/>\n48 \u00f7 6 = 8 paintbrushes<br \/>\n8 &#8211; 3 = 5<br \/>\nThus the students will get 5 more paintbrushes than paint trays.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the missing factor.<\/strong><br \/>\nQuestion 12.<br \/>\n5 \u00d7 ____ = 45<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<\/p>\n<p>Let the missing factor be g.<br \/>\n5 \u00d7 g = 45<br \/>\ng = 45\/5<br \/>\ng = 9<br \/>\nThus the missing factor is 9.<\/p>\n<p>Question 13.<br \/>\n2 \u00d7 ____ = 16<br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nLet the missing factor be h.<br \/>\n2 \u00d7 h = 16<br \/>\nh = 16\/2<br \/>\nh = 8<br \/>\nThus the missing factor is 8.<\/p>\n<p>Question 14.<br \/>\n_____ \u00d7 2 = 4<br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nLet the missing factor be i.<br \/>\ni \u00d7 2 = 4<br \/>\ni = 4\/2<br \/>\ni = 2<br \/>\nThus the missing factor is 2.<\/p>\n<p>Question 15.<br \/>\n____ \u00d7 3 = 15<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nLet the missing factor be j.<br \/>\nj \u00d7 3 = 15<br \/>\nj = 15\/3<br \/>\nj = 5<br \/>\nThus the missing factor is 5.<\/p>\n<p>Question 16.<br \/>\n5 \u00d7 ____ = 10<br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nLet the missing factor be k.<br \/>\n5 \u00d7 k = 10<br \/>\nk = 10\/5<br \/>\nk = 2<br \/>\nThus the missing factor is 2.<\/p>\n<p>Question 17.<br \/>\n5 \u00d7 ____ = 5<br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\nLet the missing factor be l.<br \/>\n5 \u00d7 l = 5<br \/>\nl = 5\/5<br \/>\nl = 1<br \/>\nThus the missing factor is 1.<\/p>\n<h3><a id=\"Lesson_4.3_Divide_by_2,_5,_or_10\"><\/a>Lesson 4.3 Divide by 2, 5, or 10<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use the number line to model 10 \u00f7 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11338\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-1.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 1\" width=\"540\" height=\"61\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-1.png 540w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-1-300x34.png 300w\" sizes=\"(max-width: 540px) 100vw, 540px\" \/><br \/>\n10 \u00f7 2 = _____<br \/>\nAnswer: 5<\/p>\n<p>Structure<br \/>\nIn your number line model, does 2 represent the number of equal groups or the size of the groups? Explain.<br \/>\nAnswer: Yes, the number line model 2 represents the number of equal groups or the size of the groups.<\/p>\n<p><strong>Think and Grow: Divide by 2, 5, or 10<\/strong><\/p>\n<p>Example<br \/>\nFind 16 \u00f7 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11339\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-2.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 2\" width=\"529\" height=\"232\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-2.png 529w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-2-300x132.png 300w\" sizes=\"(max-width: 529px) 100vw, 529px\" \/><\/p>\n<p>Answer:<br \/>\nNumber of rows = 2<br \/>\nNumber of counters = 16<br \/>\nDivision equation is 16 \u00f7 2 = 8<br \/>\nMultiplication equation is 2 \u00d7 8 = 16<\/p>\n<p><strong>Example<\/strong><br \/>\nFind 20 \u00f7 5.<br \/>\nThink: 5 times what number is 20?<br \/>\n5 \u00d7 ____ = 20<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11340\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-3.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 3\" width=\"248\" height=\"215\" \/><\/p>\n<p>Answer:<br \/>\nNumber of rows = 5<br \/>\nNumber of counters = 20<br \/>\nDivision equation is 20 \u00f7 5 = 4<br \/>\nMultiplication equation is 5 \u00d7 4 = 20<\/p>\n<p><strong>Example<\/strong><br \/>\nFind 30 \u00f7 10.<br \/>\nThink: 10 times what number is 30?<br \/>\n10 \u00d7 _____ = 30<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11341\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-4.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 4\" width=\"260\" height=\"304\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-4.png 260w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-4-257x300.png 257w\" sizes=\"(max-width: 260px) 100vw, 260px\" \/><\/p>\n<p>Answer:<br \/>\nNumber of rows = 10<br \/>\nNumber of counters = 30<br \/>\nDivision equation is 30 \u00f7 10 = 3<br \/>\nMultiplication equation is 10 \u00d7 3 = 30<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Write the related multiplication fact. Then find the quotient<\/strong><br \/>\nQuestion 1.<br \/>\nFind 60 \u00f7 10.<br \/>\n10 \u00d7 ____ = 60<br \/>\n60 \u00f7 10 = ____<br \/>\nAnswer: 6, 6<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 60 and 10 is<br \/>\n10 \u00d7 x = 60<br \/>\nx = 60\/10<br \/>\nx = 6<br \/>\n60 \u00f7 10 = 6<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 2.<br \/>\nFind 14 \u00f7 2<br \/>\n2 \u00d7 ____ = 14<br \/>\n14 \u00f7 2 = _____<br \/>\nAnswer: 7, 7<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 14 and 2 is<br \/>\n2 \u00d7 x = 14<br \/>\nx = 14\/2<br \/>\nx = 7<br \/>\n14 \u00f7 2 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p>Question 3.<br \/>\nFind 35 \u00f7 5<br \/>\n5 \u00d7 ___ = 35<br \/>\n35 \u00f7 5 = ____<br \/>\nAnswer: 7, 7<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 5 and 35 is<br \/>\n5 \u00d7 x = 35<br \/>\nx = 35\/5<br \/>\nx = 7<br \/>\n35 \u00f7 5 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p><strong>Write the related multiplication fact. Then find the quotient<\/strong><br \/>\nQuestion 4.<br \/>\nFind 4 \u00f7 2.<br \/>\n2 \u00d7 ____ = 4<br \/>\n4 \u00f7 2 = ____<br \/>\nAnswer: 2, 2<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 2 and 4 is<br \/>\n2 \u00d7 x = 4<br \/>\nx = 4\/2<br \/>\nx = 2<br \/>\n4 \u00f7 2 = 2<br \/>\nThus the quotient is 2.<\/p>\n<p>Question 5.<br \/>\nFind 15 \u00f7 5.<br \/>\n5 \u00d7 ____ = 15<br \/>\n15 \u00f7 5 = ____<br \/>\nAnswer: 3, 3<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 5 and 15 is<br \/>\n5 \u00d7 x = 15<br \/>\nx = 15\/5<br \/>\nx = 3<br \/>\n15 \u00f7 5 = 3<br \/>\nThus the quotient is 3.<\/p>\n<p>Question 6.<br \/>\nFind 10 \u00f7 10.<br \/>\n10 \u00d7 ____ = 10<br \/>\n10 \u00f7 10 = ____<br \/>\nAnswer: 1, 1<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 10 and 10 is<br \/>\n10 \u00d7 x = 10<br \/>\nx = 10\/10<br \/>\nx = 1<br \/>\n10 \u00f7 10 = 1<br \/>\nThus the quotient is 1.<\/p>\n<p><strong>Find the quotient<\/strong><br \/>\nQuestion 7.<br \/>\n70 \u00f7 10 = _____<br \/>\nAnswer: 7<br \/>\nDivide both the numbers 70 and 10<br \/>\n70\/10 = 7<br \/>\nThus 7 is the quotient.<\/p>\n<p>Question 8.<br \/>\n25 \u00f7 5 = _____<br \/>\nAnswer: 5<br \/>\nDivide both the numbers 25 and 5.<br \/>\n25\/5 = 5<br \/>\nThus 5 is the quotient.<\/p>\n<p>Question 9.<br \/>\n18 \u00f7 2 = ____<br \/>\nAnswer: 6<br \/>\nDivide both the numbers 18 and 2.<br \/>\n18\/2 = 9<br \/>\nThus 9 is the quotient.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11342\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-5.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 5\" width=\"67\" height=\"65\" \/><br \/>\nAnswer: 6<br \/>\nDivide both the numbers 30 and 5.<br \/>\n30\/5 = 6<br \/>\nThus 6 is the quotient.<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11343\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-6.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 6\" width=\"56\" height=\"66\" \/><br \/>\nAnswer: 8<br \/>\nDivide both the numbers 16 and 2.<br \/>\n16\/2 = 8<br \/>\nThus 8 is the quotient.<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11344\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-7.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 7\" width=\"72\" height=\"64\" \/><br \/>\nAnswer: 9<br \/>\nDivide both the numbers 10 and 90.<br \/>\n90\/10 = 9<br \/>\nThus 9 is the quotient.<\/p>\n<p>Question 13.<br \/>\nDivide 60 by 10.<br \/>\nAnswer: 6<br \/>\nDivide both the numbers 60 and 10.<br \/>\n60\/10 = 6<br \/>\nThus 6 is the quotient.<\/p>\n<p>Question 14.<br \/>\nDivide 14 by 2.<br \/>\nAnswer: 7<br \/>\nDivide both the numbers 2 and 14.<br \/>\n14\/2 = 7<br \/>\nThus 7 is the quotient.<\/p>\n<p>Question 15.<br \/>\nDivide 45 by 5.<br \/>\nAnswer: 9<br \/>\nDivide both the numbers 45 and 5.<br \/>\n45\/5 = 9<br \/>\nThus 9 is the quotient.<\/p>\n<p><strong>Find the missing divisor.<\/strong><br \/>\nQuestion 16.<br \/>\n12 \u00f7 ____ = 6<br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor is x<br \/>\n12 \u00f7 x = 6<br \/>\n12\/x = 6<br \/>\n12 = 6 \u00d7 x<br \/>\nx = 12\/6<br \/>\nx = 2<br \/>\nThus the missing divisor is 2.<\/p>\n<p>Question 17.<br \/>\n10 \u00f7 ____ = 2<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor is y<br \/>\n10 \u00f7 y = 2<br \/>\n10\/y = 2<br \/>\n10 = 2 \u00d7 y<br \/>\ny = 10\/2<br \/>\ny = 5<br \/>\nThus the missing divisor is 5.<\/p>\n<p>Question 18.<br \/>\n50 \u00f7 ____ = 5<br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor is z.<br \/>\n50 \u00f7 z = 5<br \/>\n50\/z = 5<br \/>\n50 = 5 \u00d7 z<br \/>\nz = 50\/5<br \/>\nz = 10<br \/>\nThus the missing divisor is 10.<\/p>\n<p>Question 19.<br \/>\nYou make 2 batches of pancakes. You use 6 cups of flour. How many cups of flour are in 1 batch?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11345\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-8.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 8\" width=\"210\" height=\"206\" \/><br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nYou make 2 batches of pancakes.<br \/>\nYou use 6 cups of flour.<br \/>\n6\/2 = 3 cups of flour<br \/>\nThere are 3 cups of flour in 1 batch.<\/p>\n<p>Question 20.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nI am an even number. If you multiply me by 5, then divide the product by 10, the quotient is 2. What number am I?<br \/>\nAnswer: 20<\/p>\n<p>Explanation:<br \/>\nI am an even number. If you multiply me by 5, then divide the product by 10, the quotient is 2.<br \/>\nLet 4 be the even number.<br \/>\n4 \u00d7 5 = 20<br \/>\n20\/10 = 2<br \/>\nThus the number is 4.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>Fourteen students say a dog is their favorite pet. How many symbols should you draw to complete the picture graph?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11346\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-9.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 9\" width=\"296\" height=\"191\" \/><br \/>\nDivision equation:<br \/>\nYou should draw _____ symbols<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nFourteen students say a dog is their favorite pet.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-13993\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-9.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-9\" width=\"296\" height=\"191\" \/><br \/>\n\ud83d\ude42 = 2 students<br \/>\n14 \u00f7 2 = 7 pictures<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 21.<br \/>\nTwenty-five students say riding a bike is their favorite summer activity. How many symbols should you draw to complete the picture graph?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11347\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-10.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 10\" width=\"319\" height=\"186\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-10.png 319w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-10-300x175.png 300w\" sizes=\"(max-width: 319px) 100vw, 319px\" \/><br \/>\nAnswer:<br \/>\nGiven,<br \/>\nTwenty-five students say riding a bike is their favorite summer activity.<br \/>\n\ud83d\ude42 = 5 students<br \/>\n25 = \ud83d\ude42 \ud83d\ude42\ud83d\ude42\ud83d\ude42\ud83d\ude42<br \/>\n25 \u00f7 5 = 5<\/p>\n<p>Question 22.<br \/>\nErasers cost 10\u00a2 each. How many erasers can you buy with 70\u00a2?<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nErasers cost 10\u00a2 each.<br \/>\nYou need to buy with 70\u00a2<br \/>\n10 \u00d7 x = 70<br \/>\nx = 70\/10<br \/>\nx = 7<br \/>\nTherefore you can buy 7 erasers for 70\u00a2.<\/p>\n<p>Question 23.<br \/>\nYou have 26 red linking cubes and 24 blue linking cubes. You use all of the linking cubes to make towers with 10 linking cubes each. How many towers do you make?<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nYou have 26 red linking cubes and 24 blue linking cubes.<br \/>\n26 + 24 = 50 linking cubes<br \/>\nYou use all of the linking cubes to make towers with 10 linking cubes each.<br \/>\n50 \u00f7 10 = 5 towers<br \/>\nThus you can make 5 towers.<\/p>\n<h3><a id=\"Divide_by_2,_5,_or_10_Homework_&amp;_Practice_4.3\"><\/a>Divide by 2, 5, or 10 Homework &amp; Practice 4.3<\/h3>\n<p><strong>Write the related multiplication fact. Then find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\nFind 20 \u00f7 10<br \/>\n10 \u00d7 ____ = 20<br \/>\n20 \u00f7 10 = ____<br \/>\nAnswer: 2, 2<\/p>\n<p>Explanation:<br \/>\nLet x be the unknown factor.<br \/>\n10 \u00d7 x\u00a0 = 20<br \/>\nx = 20\/10<br \/>\nx = 2<br \/>\nFirst, we need to check whether the divisor or dividend is the related multiplication fact or not.<br \/>\nNext check whether the divisor or the dividend the product in the related multiplication fact or not.<br \/>\nIf both are the same then the quotient is the unknown factor.<br \/>\n20\/10 = 2<br \/>\nThus the quotient is 2.<\/p>\n<p>Question 2.<br \/>\nFind 8 \u00f7 2.<br \/>\n2 \u00d7 ___ = 8<br \/>\n8 \u00f7 2 = ____<br \/>\nAnswer: 4, 4<\/p>\n<p>Explanation:<br \/>\nLet y be the unknown factor.<br \/>\nFirst, we need to check whether the divisor or dividend is the related multiplication fact or not.<br \/>\nNext check whether the divisor or the dividend the product in the related multiplication fact or not.<br \/>\nIf both are the same then the quotient is the unknown factor.<br \/>\n2 \u00d7 y = 8<br \/>\ny = 8\/2<br \/>\ny = 4<br \/>\nThus the quotient is 4.<\/p>\n<p>Question 3.<br \/>\nFind 50 \u00f7 5<br \/>\n5 \u00d7 ___ = 50<br \/>\n50 \u00f7 5 = ____<br \/>\nAnswer: 10, 10<\/p>\n<p>Explanation:<br \/>\nLet z be the unknown factor.<br \/>\nFirst, we need to check whether the divisor or dividend is the related multiplication fact or not.<br \/>\nNext check whether the divisor or the dividend the product in the related multiplication fact or not.<br \/>\nIf both are the same then the quotient is the unknown factor.<br \/>\n5 \u00d7 z = 50<br \/>\nz = 50\/5<br \/>\nz = 10<br \/>\nThus the quotient is 10.<\/p>\n<p><strong>Find the quotient<\/strong><br \/>\nQuestion 4.<br \/>\n100 \u00f7 10 = _____<br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\n100\/10 = 10<br \/>\nThe quotient is 10.<\/p>\n<p>Question 5.<br \/>\n45 \u00f7 5 = _____<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\n45\/5 = 9<br \/>\nThe quotient is 9.<\/p>\n<p>Question 6.<br \/>\n14 \u00f7 2 = _____<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\n14\/2 = 7<br \/>\nThe quotient is 7.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11348\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-11.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 11\" width=\"61\" height=\"60\" \/><br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\n12\/2 = 6<br \/>\nThe quotient is 6.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11349\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-12.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 12\" width=\"64\" height=\"58\" \/><br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\n60\/10 = 6<br \/>\nThe quotient is 6.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11350\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-13.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 13\" width=\"61\" height=\"59\" \/><br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\n10\/5 = 2<br \/>\nThe quotient is 2.<\/p>\n<p><strong>Find the missing divisor<\/strong><br \/>\nQuestion 10.<br \/>\n20 \u00f7 ___ = 5<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nLet x be the missing divisor<br \/>\n20 \u00f7 x = 5<br \/>\n20\/x = 5<br \/>\n20 = x \u00d7 5<br \/>\nx = 20\/5<br \/>\nx = 4<br \/>\nThus the missing divisor is 4.<\/p>\n<p>Question 11.<br \/>\n40 \u00f7 ____ = 10<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nLet x be the missing divisor.<br \/>\n40 \u00f7 x = 10<br \/>\n40\/x = 10<br \/>\n40 = 10 \u00d7 x<br \/>\nx = 40\/10<br \/>\nx = 4<br \/>\nThus the missing divisor is 4.<\/p>\n<p>Question 12.<br \/>\n4 \u00f7 ____ = 2<br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nLet x be the missing divisor.<br \/>\n4 \u00f7 x = 2<br \/>\n4\/x = 2<br \/>\n4 = 2 \u00d7 x<br \/>\nx = 4\/2<br \/>\nx = 2<br \/>\nThus the missing divisor is 2.<\/p>\n<p>Question 13.<br \/>\n<strong>Number Sense<\/strong><br \/>\nThe American flag has 50 stars. It has 10 times as many stars as the Chinese flag. How many stars are on the Chinese flag?<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nThe American flag has 50 stars. It has 10 times as many stars as the Chinese flag.<br \/>\n50\/10 = 5<br \/>\nThus there are 5 stars on the Chinese flag.<\/p>\n<p>Question 14.<br \/>\nOpen-Ended Write a division equation for each description.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11351\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-14.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 14\" width=\"601\" height=\"69\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-14.png 601w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-14-300x34.png 300w\" sizes=\"(max-width: 601px) 100vw, 601px\" \/><br \/>\nAnswer: 10 \u00f7 2 = 5<br \/>\nIn this equation 2 is the divisor, 5 is the quotient and 10 is the dividend.<\/p>\n<p>Question 15.<br \/>\n<strong>Repeated Reasoning<\/strong><br \/>\nComplete the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11352\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-15.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 15\" width=\"295\" height=\"245\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-13999\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-15.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-15\" width=\"295\" height=\"245\" \/><\/p>\n<p>Question 16.<br \/>\nYou buy 20 flowers. You want an equal number of flowers in each of the 5 pots. How many flowers do you put in each pot?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11353\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-16.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 16\" width=\"178\" height=\"265\" \/><br \/>\nAnswer:<br \/>\nGiven,<br \/>\nYou buy 20 flowers. You want an equal number of flowers in each of the 5 pots.<br \/>\n20\/5 = 4<br \/>\nThus there are 4 flowers in each pot.<\/p>\n<p>Question 17.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nFifty students say they have traveled on an airplane. How many symbols should you draw to complete the picture graph?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11354\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-17.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 17\" width=\"268\" height=\"179\" \/><br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nFifty students say they have traveled on an airplane.<br \/>\n\ud83d\ude42 = 10 students<br \/>\n50 = 10 \u00d7 5<br \/>\n= \ud83d\ude42 \u00d7 5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14000\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-17.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-17\" width=\"268\" height=\"179\" \/><\/p>\n<p>Question 18.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA jeweler has 17 gold rings and 18 silver rings. She puts them in a ring tray in 5 rows. How many rings are in each row?<br \/>\nAnswer:\u00a0 7 rings<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nA jeweler has 17 gold rings and 18 silver rings.<br \/>\n17 + 18 = 35<br \/>\nShe puts them in a ring tray in 5 rows.<br \/>\n35\/5 = 7<br \/>\nTherefore there are 7 rings in each row.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Compare.<\/strong><br \/>\nQuestion 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11355\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-18.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 18\" width=\"132\" height=\"35\" \/><br \/>\nAnswer: &gt;<\/p>\n<p>Explanation:<br \/>\n8 \u00d7 3 = 24<br \/>\n7 \u00d7 3 = 21<br \/>\n24 &gt; 21<br \/>\nSo, 8 \u00d7 3 &gt; 7 \u00d7 3<\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11356\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-19.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 19\" width=\"108\" height=\"42\" \/><br \/>\nAnswer: =<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 3 = 15<br \/>\n15 = 15<br \/>\nSo, 15 = 5 \u00d7 3<\/p>\n<p>Question 21.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11357\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.3-20.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.3 20\" width=\"138\" height=\"36\" \/><br \/>\nAnswer: &lt;<\/p>\n<p>Explanation:<br \/>\n3 \u00d7 3 = 9<br \/>\n4 \u00d7 3 = 12<br \/>\n9 &lt; 12<br \/>\nSo, 3 \u00d7 3 &lt; 4 \u00d7 3<\/p>\n<h3><a id=\"Lesson_4.4_Divide_by_3_or_4\"><\/a>Lesson 4.4 Divide by 3 or 4<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Put 12 counters into 3 equal groups. Draw to show your groups.<br \/>\nUse your equal groups to help you find the quotient.<br \/>\n12 \u00f7 3 = ____<br \/>\nAnswer: 4<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14001\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/BIM-Grade-3-Chapter-4-Division-Facts-Strategies-img_4.png\" alt=\"BIM Grade 3 Chapter 4 Division Facts &amp; Strategies img_4\" width=\"108\" height=\"147\" \/><\/p>\n<p><strong>Structure<\/strong><br \/>\nPut 12 counters into 4 equal groups. Draw to show your groups. Write a division equation to match. What do you notice?<br \/>\nAnswer: 3<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14002\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Bigideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-Strategies-img_5.png\" alt=\"Bigideas Math Answers Grade 3 Chapter 4 Division Facts &amp; Strategies img_5\" width=\"245\" height=\"206\" \/><\/p>\n<p><strong>Think and Grow: Divide by 3 or 4<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 18 \u00f7 3<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11358\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-1.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 1\" width=\"446\" height=\"242\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-1.png 446w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-1-300x163.png 300w\" sizes=\"(max-width: 446px) 100vw, 446px\" \/><\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\nLet the unknown number be x.<br \/>\n18 \u00f7 3 = x<br \/>\n18\/3 = x<br \/>\nx = 6<br \/>\nThus 18 is 3 times 6.<\/p>\n<p><strong>Example<\/strong><br \/>\nFind 32 \u00f7 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11359\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-2.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 2\" width=\"570\" height=\"237\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-2.png 570w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-2-300x125.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/p>\n<p>Answer: 8<\/p>\n<p>Explanation:<br \/>\nLet the unknown number be x.<br \/>\n32 \u00f7 4 = x<br \/>\n32\/4 = x<br \/>\nx = 8<br \/>\nThus 32 is 4 times 8.<br \/>\n4 \u00d7 8 = 32<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Complete the model and find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\nFind 28 \u00f7 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11360\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-3.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 3\" width=\"245\" height=\"138\" \/><br \/>\n28 \u00f7 4 = _____<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 4<br \/>\nNumber of counters = 28<br \/>\nDivide the number of counters by the number of rows<br \/>\n28\/4 = 7<br \/>\nThus there are 7 columns in each row.<\/p>\n<p>Question 2.<br \/>\nFind 9 \u00f7 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11361\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-4.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 4\" width=\"175\" height=\"120\" \/><br \/>\n9 \u00f7 3 = _____<br \/>\nAnswer: 3<\/p>\n<p>Explanation:<\/p>\n<p>Number of rows = 3<br \/>\nNumber of counters = 9<br \/>\nDivide the number of counters by the number of rows<br \/>\n9\/3 = 3<br \/>\nThus there are 3 columns in each row.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Complete the model and find the quotient.<\/strong><br \/>\nQuestion 3.<br \/>\nFind 8 \u00f7 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11362\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-5.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 5\" width=\"184\" height=\"129\" \/><br \/>\n8 \u00f7 4 = _____<br \/>\nAnswer: 2<\/p>\n<p>Explanation:<\/p>\n<p>Number of rows = 4<br \/>\nNumber of counters = 8<br \/>\nDivide the number of counters by the number of rows<br \/>\n8\/4 = 2<br \/>\nThus there are 2 columns in each row.<\/p>\n<p>Question 4.<br \/>\nFind 24 \u00f7 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11363\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-6.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 6\" width=\"253\" height=\"119\" \/><br \/>\n24 \u00f7 3 = _____<br \/>\nAnswer: 8<\/p>\n<p>Explanation:<\/p>\n<p>Number of rows = 3<br \/>\nNumber of counters = 24<br \/>\nDivide the number of counters by the number of rows<br \/>\n24\/3 = 8<br \/>\nThus there are 8 columns in each row.<\/p>\n<p><strong>Find the quotient<\/strong><br \/>\nQuestion 5.<br \/>\n12 \u00f7 3 = _____<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 12 and 3.<br \/>\n12\/3 =4<br \/>\nThus the quotient is 4<\/p>\n<p>Question 6.<br \/>\n20 \u00f7 4 = _____<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 20 and 4.<br \/>\n20\/4 = 5<br \/>\nThus the quotient is 5.<\/p>\n<p>Question 7.<br \/>\n15 \u00f7 3 = _____<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 15 and 3<br \/>\n15\/3 = 5<br \/>\nThus the quotient is 5.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11364\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-7.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 7\" width=\"56\" height=\"65\" \/><br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 32 and 4<br \/>\n32\/4 = 8<br \/>\nThus the quotient is 8.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11365\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-8.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 8\" width=\"70\" height=\"60\" \/><br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 3 and 18<br \/>\n18\/3 = 6<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11366\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-9.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 9\" width=\"57\" height=\"66\" \/><br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 36 and 4<br \/>\n36\/4 = 9<br \/>\nThus the quotient is 9.<\/p>\n<p>Question 11.<br \/>\nDivide 9 by 3.<br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 3 and 9<br \/>\n9\/3 = 3<br \/>\nThus the quotient is 3.<\/p>\n<p>Question 12.<br \/>\nDivide 12 by 4.<br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 12 and 4.<br \/>\n12\/4 = 3<br \/>\nThus the quotient is 3.<\/p>\n<p>Question 13.<br \/>\nDivide 21 by 3.<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 21 by 3<br \/>\n21\/3 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p><strong>Compare<\/strong><br \/>\nQuestion 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11367\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-10.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 10\" width=\"160\" height=\"39\" \/><br \/>\nAnswer: &gt;<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers.<br \/>\n27 \u00f7 3 = 9<br \/>\n28 \u00f7 4 = 7<br \/>\n9 &gt; 7<br \/>\n27 \u00f7 3 &gt; 28 \u00f7 4<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-11.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 11\" width=\"155\" height=\"53\" \/><br \/>\nAnswer: &gt;<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers<br \/>\n30 \u00f7 3 =10<br \/>\n24 \u00f7 4 = 6<br \/>\n10 &gt; 6<br \/>\n30 \u00f7 3 &gt; 24 \u00f7 4<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11369\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-12.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 12\" width=\"144\" height=\"45\" \/><br \/>\nAnswer: &lt;<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers<br \/>\n6 \u00f7 3 = 2<br \/>\n16 \u00f7 4 = 4<br \/>\n2 &lt; 4<br \/>\n6 \u00f7 3 &lt; 16 \u00f7 4<\/p>\n<p>Question 17.<br \/>\nThere are 36 water bottles in a package. The bottles are in 4 rows. How many water bottles are in each row?<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nThere are 36 water bottles in a package.<br \/>\nThe bottles are in 4 rows.<br \/>\n36\/4 = 9<br \/>\nThus 9 water bottles are in each row.<\/p>\n<p>Question 18.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nCan you divide 20 students into 3 equal groups? Explain.<br \/>\nAnswer: No<br \/>\n20 is not the multiple of 3. So, 20 students cannot be divided into 3 equal groups.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>You arrange 36 chairs in 4 equal rows. You arrange 21 music stands in 3 equal rows. How many more chairs are in each row than music stands?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11370\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-13.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 13\" width=\"158\" height=\"304\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-13.png 158w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-13-156x300.png 156w\" sizes=\"(max-width: 158px) 100vw, 158px\" \/><br \/>\nDivision equations:<br \/>\nThere are ______ more chairs in each row.<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYou arrange 36 chairs in 4 equal rows.<br \/>\n36\/4 = 9 chairs in each row<br \/>\nYou arrange 21 music stands in 3 equal rows.<br \/>\n21\/3 = 7 chairs in each row<br \/>\nThus there are 2 more chairs in each row.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 19.<br \/>\nYou arrange 30 cups of fruit punch in 3 equal rows. You arrange 24 cups of lemonade in 4 equal rows. How many more cups of fruit punch are in each row than cups of lemonade?<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nYou arrange 30 cups of fruit punch in 3 equal rows.<br \/>\n30\/3 = 10 cups of fruit punch<br \/>\nYou arrange 24 cups of lemonade in 4 equal rows.<br \/>\n24\/4 = 6 cups of lemonade<br \/>\n10 &gt; 6<br \/>\nThus 4 more cups of fruit punch are in each row than cups of lemonade.<\/p>\n<p>Question 20.<br \/>\nYou have a bag of 25 carrot sticks. You eat 5 of them and equally share the rest with 4 friends. How many carrot sticks does each friend get?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11371\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-14.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 14\" width=\"188\" height=\"119\" \/><br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nYou have a bag of 25 carrot sticks. You eat 5 of them and equally share the rest with 4 friends.<br \/>\n25 &#8211; 5 = 20 carrot sticks<br \/>\n20\/4 = 5 carrot sticks<br \/>\nThus each friend gets 5 carrot sticks.<\/p>\n<p>Question 21.<br \/>\nYour teacher has 18 yellow pencils and 18 red pencils. She puts 3 pencils on each desk in the class. How many desks are in the class?<br \/>\nAnswer: 12<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nYour teacher has 18 yellow pencils and 18 red pencils.<br \/>\n18 + 18 = 36 pencils<br \/>\nShe puts 3 pencils on each desk in the class.<br \/>\n36\/3 = 12<br \/>\nThus there are 12 desks in the class.<\/p>\n<h3><a id=\"Divide_by_3_or_4_Homework_&amp;_Practice_4.4\"><\/a>Divide by 3 or 4 Homework &amp; Practice 4.4<\/h3>\n<p><strong>Complete the model and find the quotient<\/strong><br \/>\nQuestion 1.<br \/>\nFind 27 \u00f7 3<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11372\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-15.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 15\" width=\"284\" height=\"113\" \/><br \/>\n27 \u00f7 3 = ______<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 3<br \/>\nNumber of counters = 27<br \/>\nDivide the number of counters by the number of rows<br \/>\n27\/3 = 9<br \/>\nThus there are 9 counters in each row.<\/p>\n<p>Question 2.<br \/>\nFind 20 \u00f7 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11373\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-16.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 16\" width=\"225\" height=\"133\" \/><br \/>\n20 \u00f7 4 _____<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<\/p>\n<p>Number of rows = 4<br \/>\nNumber of counters = 20<br \/>\nDivide the number of counters by the number of rows<br \/>\n20\/4 = 5<br \/>\nThus there are 5 counters in each row.<\/p>\n<p><strong>Find the quotient<\/strong><br \/>\nQuestion 3.<br \/>\n6 \u00f7 3 = _____<br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 3 and 6.<br \/>\n6\/3 = 2<br \/>\nThus the quotient is 2.<\/p>\n<p>Question 4.<br \/>\n28 \u00f7 4 = _____<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 28 and 4.<br \/>\n28\/4 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p>Question 5.<br \/>\n18 \u00f7 3 = _____<br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 18 and 3.<br \/>\n18\/3 = 6<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11374\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-17.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 17\" width=\"62\" height=\"60\" \/><br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 4 and 8.<br \/>\n8\/4 = 2<br \/>\nThus the quotient is 2.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11375\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-18.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 18\" width=\"71\" height=\"60\" \/><br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 24 and 3<br \/>\n24\/3 = 8<br \/>\nThus the quotient is 8.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11376\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-19.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 19\" width=\"56\" height=\"61\" \/><br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 16 and 4.<br \/>\n16\/4 = 4<br \/>\nThus the quotient is 4.<\/p>\n<p><strong>Compare<\/strong><br \/>\nQuestion 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11377\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-20.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 20\" width=\"147\" height=\"40\" \/><br \/>\nAnswer: &lt;<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers.<br \/>\n9 \u00f7 3 = 3<br \/>\n15 \u00f7 3 = 5<br \/>\n3 &lt; 5<br \/>\nSo, 9 \u00f7 3 &lt; 15 \u00f7 3<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11378\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-21.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 21\" width=\"162\" height=\"44\" \/><br \/>\nAnswer: &lt;<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers.<br \/>\n12 \u00f7 3 = 4<br \/>\n12 \u00f7 4 = 3<br \/>\n4 &gt; 3<br \/>\n12 \u00f7 3 &gt; 12 \u00f7 4<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11379\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-22.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 22\" width=\"163\" height=\"52\" \/><br \/>\nAnswer: &lt;<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers.<br \/>\n32 \u00f7 4 = 8<br \/>\n36 \u00f7 4 = 9<br \/>\n8 &lt; 9<br \/>\n32 \u00f7 4 &lt; 36 \u00f7 4<\/p>\n<p>Question 12.<br \/>\n<strong>Number Sense<\/strong><br \/>\nTissue boxes are sold in packs of 3. A doctor\u2019s office needs 21 boxes. How many packs should the office buy?<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nTissue boxes are sold in packs of 3.<br \/>\nA doctor\u2019s office needs 21 boxes.<br \/>\n21\/3 = 7 packs<br \/>\nTherefore the office should buy 7 packs.<\/p>\n<p>Question 13.<br \/>\n<strong>Structure<\/strong><br \/>\nWrite the division equation represented by the number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11380\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-23.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 23\" width=\"433\" height=\"138\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-23.png 433w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-23-300x96.png 300w\" sizes=\"(max-width: 433px) 100vw, 433px\" \/><br \/>\nAnswer: 32 \u00f7 4 = 8<\/p>\n<p>Explanation:<br \/>\nThe count starts from 0.<br \/>\nThe count jumps for every 4s.<br \/>\nThere are 8 jumps.<br \/>\nThus the division equation is 32 \u00f7 4 = 8<\/p>\n<p>Question 14.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says she can use 3 \u00d7 6 = 18 to help find 6 \u00f7 3. Is your friend correct? Explain.<br \/>\nAnswer: Your friend is incorrect<\/p>\n<p>Explanation:<br \/>\nYour friend says she can use 3 \u00d7 6 = 18 to help find 6 \u00f7 3.<br \/>\n6 \u00f7 3 = 2<br \/>\nThe multiplication equation is different from the division equation.<br \/>\nBy this, you can say that your friend is incorrect.<\/p>\n<p>Question 15.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA food vending machine has 40 snacks in rows of 4. A drink vending machine has 21 drinks in rows of 3. How many more rows of snacks are there than rows of drinks?<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nA food vending machine has 40 snacks in rows of 4.<br \/>\n40\/4 = 10<br \/>\nA drink vending machine has 21 drinks in rows of 3.<br \/>\n21\/3 = 7<br \/>\n10 &#8211; 7 = 3<br \/>\nThus 3 more rows of snacks are there than rows of drinks.<\/p>\n<p>Question 16.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA delivery person has 13 large packages and 14 small packages. He delivers 3 packages to each house. There are none left. How many houses does he deliver to?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11381\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-24.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 24\" width=\"194\" height=\"323\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-24.png 194w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-24-180x300.png 180w\" sizes=\"(max-width: 194px) 100vw, 194px\" \/><br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nA delivery person has 13 large packages and 14 small packages.<br \/>\n13 + 14 = 27<br \/>\nHe delivers 3 packages to each house. There are none left.<br \/>\n27\/3 = 9<br \/>\nThus he delivers 9 houses.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the product<\/strong><br \/>\nQuestion 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11382\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-25.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 25\" width=\"60\" height=\"76\" \/><br \/>\nAnswer: 48<\/p>\n<p>Explanation:<br \/>\nMultiply the two numbers 8 and 6.<br \/>\n8 \u00d7 6 = 48<\/p>\n<p>Question 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11383\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-26.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 26\" width=\"46\" height=\"74\" \/><br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nMultiply the two numbers 6 and 0.<br \/>\nAny number multiplied by 0 will be always 0.<br \/>\n6 \u00d7 0 = 0<\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11384\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-27.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 27\" width=\"50\" height=\"75\" \/><br \/>\nAnswer: 12<\/p>\n<p>Explanation:<br \/>\nMultiply the two numbers 6 and 2.<br \/>\n6 \u00d7 2 = 12<\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11385\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-28.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 28\" width=\"60\" height=\"80\" \/><br \/>\nAnswer: 60<\/p>\n<p>Explanation:<br \/>\nMultiply the two numbers 10 and 6.<br \/>\n10 \u00d7 6 = 60<\/p>\n<p>Question 21.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11386\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.4-29.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.4 29\" width=\"57\" height=\"83\" \/><br \/>\nAnswer: 42<\/p>\n<p>Explanation:<br \/>\nMultiply the two numbers 7 and 6.<br \/>\n7 \u00d7 6 = 42<\/p>\n<h3><a id=\"Lesson_4.5_Divide_by_6_or_7\"><\/a>Lesson 4.5 Divide by 6 or 7<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Complete the statements and the models.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11387\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-1.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 1\" width=\"450\" height=\"267\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-1.png 450w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-1-300x178.png 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><br \/>\nAnswer: 42 \u00f7 6 = 7<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-14434\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-1-300x178.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-1\" width=\"300\" height=\"178\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-1-300x178.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-1.jpg 450w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Reasoning<\/strong><br \/>\nWithout solving, which quotient is greater? Explain how you know.<br \/>\nAnswer: The second figure is having a greater quotient.<br \/>\n42 \u00f7 6 = 7<br \/>\n42 \u00f7 7 = 6<\/p>\n<p><strong>Think and Grow: Divide by 6 or 7<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 48 \u00f7 6.<br \/>\nThink: 6 times what number is 48?<br \/>\n6 \u00d7 _____ = 48<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11388\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-2.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 2\" width=\"266\" height=\"285\" \/><\/p>\n<p>Answer: 8<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 6<br \/>\nNumber of counters = 48<br \/>\nDivide the number of counters by the number of rows.<br \/>\n48\/6 = 8<br \/>\nThere are 8 columns.<br \/>\n6 \u00d7 8 = 48<\/p>\n<p><strong>Example<\/strong><br \/>\nFind 49 \u00f7 7.<br \/>\nThink: 7 times what number is 49?<br \/>\n7 \u00d7 ____ = 49<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11389\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-3.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 3\" width=\"251\" height=\"291\" \/><\/p>\n<p>Answer: 7<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 7<br \/>\nNumber of counters = 49<br \/>\nDivide the number of counters by the number of rows<br \/>\n49\/7 = 7<br \/>\nThere are 7 columns.<br \/>\n7 \u00d7 7 = 49<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Complete the model and find the quotient<\/strong><br \/>\nQuestion 1.<br \/>\nFind 28 \u00f7 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11390\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-4.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 4\" width=\"186\" height=\"192\" \/><br \/>\n28 \u00f7 7 = _____<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 7<br \/>\nNumber of counters = 28<br \/>\nDivide the number of counters by the number of rows<br \/>\n28\/7 = 4<br \/>\nThere are 4 columns.<\/p>\n<p>Question 2.<br \/>\nFind 54 \u00f7 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11391\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-5.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 5\" width=\"297\" height=\"175\" \/><br \/>\n54 \u00f7 6 = _____<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 6<br \/>\nNumber of counters = 54<br \/>\nDivide the number of counters by the number of rows<br \/>\n54\/6 = 9<br \/>\nThere are 9 columns.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Complete the model and find the quotient<\/strong><br \/>\nQuestion 3.<br \/>\nFind 36 \u00f7 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11392\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-6.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 6\" width=\"232\" height=\"174\" \/><br \/>\n36 \u00f7 6 = _____<br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 6<br \/>\nNumber of counters = 36<br \/>\nDivide the number of counters by the number of rows<br \/>\n36\/6 = 6<br \/>\nThere are 6 columns.<\/p>\n<p>Question 4.<br \/>\nFind 14 \u00f7 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11393\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-7.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 7\" width=\"178\" height=\"191\" \/><br \/>\n14 \u00f7 7 = _____<br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 7<br \/>\nNumber of counters = 14<br \/>\nDivide the number of counters by the number of rows<br \/>\n14\/7 = 2<br \/>\nThere are 2 columns.<\/p>\n<p><strong>Find the quotient<\/strong><br \/>\nQuestion 5.<br \/>\n60 \u00f7 6 = _____<br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 60 and 6.<br \/>\n60\/6 = 10<br \/>\nThus the quotient is 10.<\/p>\n<p>Question 6.<br \/>\n35 \u00f7 7 = _____<br \/>\nAnswer: 5<\/p>\n<p>Exp7lanation:<br \/>\nDivide the two numbers 35 and 7.<br \/>\n35\/7 = 5<br \/>\nThus the quotient is 5.<\/p>\n<p>Question 7.<br \/>\n24 \u00f7 6 = _____<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 24 and 6.<br \/>\n24\/6 = 4<br \/>\nThus the quotient is 4.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11394\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-8.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 8\" width=\"70\" height=\"64\" \/><br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 12 and 6.<br \/>\n12\/6 = 2<br \/>\nThus the quotient is 2.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11395\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-9.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 9\" width=\"71\" height=\"60\" \/><br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 42 and 7.<br \/>\n42\/7 = 6<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11396\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-10.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 10\" width=\"62\" height=\"62\" \/><br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 63 and 7<br \/>\n63\/7 = 9<br \/>\nThus the quotient is 9.<\/p>\n<p><strong>Find the missing divisor<\/strong><br \/>\nQuestion 11.<br \/>\n28 \u00f7 ____ = 7<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor be a.<br \/>\n28 \u00f7 a = 7<br \/>\n28\/a = 7<br \/>\n28 = 7a<br \/>\na = 28\/7<br \/>\na = 4<br \/>\nThus the missing divisor is 4.<\/p>\n<p>Question 12.<br \/>\n30 \u00f7 ____ = 6<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor be b.<br \/>\n30 \u00f7 b = 6<br \/>\n30\/b = 6<br \/>\n30 = 6 \u00d7 b<br \/>\nb = 30\/6<br \/>\nb = 5<br \/>\nThus the missing divisor is 5.<\/p>\n<p>Question 13.<br \/>\n70 \u00f7 _____ = 7<br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor be c.<br \/>\n70 \u00f7 c = 7<br \/>\n70\/c = 7<br \/>\n70 = 7 \u00d7 c<br \/>\nc = 70\/7<br \/>\nc = 10<br \/>\nThus the missing divisor is 10.<\/p>\n<p>Question 14.<br \/>\nYou have 24 stones for the game mancala. There are 6 holes on the board. Each hole gets an equal number of stones. How many stones do you put in each hole?<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nYou have 24 stones for the game mancala.<br \/>\nThere are 6 holes on the board.<br \/>\nEach hole gets an equal number of stones.<br \/>\n24\/6 = 4<br \/>\nThus you put 4 stones in each hole.<\/p>\n<p>Question 15.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWrite the correct symbol to make each equation true<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11397\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-11.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 11\" width=\"302\" height=\"106\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-11.png 302w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-11-300x105.png 300w\" sizes=\"(max-width: 302px) 100vw, 302px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-14435\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-11-300x105.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-11\" width=\"300\" height=\"105\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-11-300x105.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-11.jpg 302w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>You have 54 craft sticks. You use all of the sticks to make hexagons. How many hexagons can you make?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11398\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-12.1.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 12.1\" width=\"218\" height=\"146\" \/><br \/>\nDivision equation:<br \/>\nYou can make _____ hexagons.<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nYou have 54 craft sticks. You use all of the sticks to make hexagons.<br \/>\nhexagon &#8211; 6<br \/>\n54\/6 = 9<br \/>\nYou can make 9 hexagons.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 16.<br \/>\nYou use 35 craft sticks to make 7 polygons. You use the same number of craft sticks for each polygon. How many craft sticks do you use for each polygon?<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nYou use 35 craft sticks to make 7 polygons. You use the same number of craft sticks for each polygon.<br \/>\n35\/7 = 5<br \/>\nThus you use 5 craft sticks for each polygon.<\/p>\n<p>Question 17.<br \/>\nThere are 42 students in gym class. The teacher divides the students into 7 teams. How many more students would be on each team if the teacher divides the students into 6 teams?<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nThere are 42 students in gym class. The teacher divides the students into 7 teams.<br \/>\n42\/7 = 6 students<br \/>\nIf the teacher divides the students into 6 teams then,<br \/>\n42\/6 = 7 students<\/p>\n<p>Question 18.<br \/>\nYou have a tray of 12 oatmeal bars. You keep 6 of them. How many bars can you give to each of your 6 friends?<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nYou have a tray of 12 oatmeal bars. You keep 6 of them.<br \/>\n12\/6 = 2<br \/>\nThus you can give 2 bars to each of your 6 friends.<\/p>\n<h3><a id=\"Divide_by_6_or_7_Homework_&amp;_Practice_4.5\"><\/a>Divide by 6 or 7 Homework &amp; Practice 4.5<\/h3>\n<p><strong>Complete the model and find the quotient<\/strong><br \/>\nQuestion 1.<br \/>\nFind 18 \u00f7 6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11399\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-12.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 12\" width=\"192\" height=\"178\" \/><br \/>\n18 \u00f7 6 = _____<br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 6<br \/>\nNumber of counters = 18<br \/>\nDivide the number of counters by the number of rows<br \/>\n18\/6 = 3<br \/>\nThus there are 3 counters in each row<\/p>\n<p>Question 2.<br \/>\nFind 35 \u00f7 7<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11400\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-13.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 13\" width=\"213\" height=\"185\" \/><br \/>\n35 \u00f7 7 = _____<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 7<br \/>\nNumber of counters = 35<br \/>\nDivide the number of counters by the number of rows<br \/>\n35\/7 = 5<br \/>\nThus there are 5 counters in each row<\/p>\n<p><strong>Find the quotient<\/strong><br \/>\nQuestion 3.<br \/>\n42 \u00f7 6 = _____<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 42 and 6.<br \/>\n42\/6 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p>Question 4.<br \/>\n28 \u00f7 7 = _____<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 28 and 7<br \/>\n28\/7 = 4<br \/>\nThus the quotient is 4.<\/p>\n<p>Question 5.<br \/>\n54 \u00f7 6 = _____<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 54 and 6.<br \/>\n54\/6 = 9<br \/>\nThus the quotient is 9.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11401\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-14.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 14\" width=\"65\" height=\"62\" \/><br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 49 and 7.<br \/>\n49\/7 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11402\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-15.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 15\" width=\"60\" height=\"73\" \/><br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 7 and 70<br \/>\n70\/7 = 10<br \/>\nThus the quotient is 10.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11403\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-16.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 16\" width=\"56\" height=\"64\" \/><br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 30 and 6.<br \/>\n30\/6 = 5<br \/>\nThus the quotient is 5.<\/p>\n<p><strong>Find the missing divisor.<\/strong><br \/>\nQuestion 9.<br \/>\n36 \u00f7 ____ = 6<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor be x.<br \/>\n36 \u00f7 x = 6<br \/>\n36\/x = 6<br \/>\n36 = 6 \u00d7 x<br \/>\nx = 36\/6<br \/>\nx = 6<br \/>\nThus the missing divisor is 6.<\/p>\n<p>Question 10.<br \/>\n14 \u00f7 ____ = 7<br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor be y.<br \/>\n14 \u00f7 y = 7<br \/>\n14\/y = 7<br \/>\n14 = 7 \u00d7 y<br \/>\ny = 14\/7<br \/>\ny = 2<br \/>\nThus the missing divisor is 2.<\/p>\n<p>Question 11.<br \/>\n60 \u00f7 _____ = 6<br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor be z.<br \/>\n60 \u00f7 z = 6<br \/>\n60\/z = 6<br \/>\n60 = 6 \u00d7 z<br \/>\nz = 60\/6<br \/>\nz = 10<br \/>\nThus the missing divisor is 10.<\/p>\n<p>Question 12.<br \/>\n<strong>Number Sense<\/strong><br \/>\nThere are 7 continents. A scientist has 63 days to spend studying on all the continents. She wants to spend an equal number of days on each one. How many days can she spend on each continent?<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nThere are 7 continents. A scientist has 63 days to spend studying on all the continents.<br \/>\nShe wants to spend an equal number of days on each one.<br \/>\n63\/7 = 9 days<br \/>\nThus she can spend 9 days on each continent.<\/p>\n<p>Question 13.<br \/>\n<strong>Logic<\/strong><br \/>\nI am an odd number. When you multiply me by 6, then divide the product by 3, the quotient is 10. What number am I?<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nLet us consider 5 to be the odd number.<br \/>\nNow multiply by 6.<br \/>\n5 \u00d7 6 = 30<br \/>\nNow divide by 3.<br \/>\n30\/3 = 10<br \/>\nSo, the number is 5.<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou deal 52 cards to 7 players. Does each player get the same number of cards? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11404\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-17.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 17\" width=\"168\" height=\"137\" \/><br \/>\nAnswer: No. Because 52 is not the multiple of 7.<br \/>\nThus each player will not get the same number of cards.<\/p>\n<p>Question 15.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThere are 70 students at a summer camp. A counselor divides the students into teams of 10. How many more teams would the counselor make if he divides the students into teams of 7?<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nThere are 70 students at a summer camp. A counselor divides the students into teams of 10.<br \/>\nIf he divides into 7 teams then there will be 10 students in each team.<br \/>\n70\/7 = 10<\/p>\n<p>Question 16.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThere are 31 students in your class. Seven students are called to the nurse\u2019s office to get their hearing checked. Your teacher divides the rest of the students into groups of 6. How many groups are there?<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nThere are 31 students in your class. Seven students are called to the nurse\u2019s office to get their hearing checked.<br \/>\n31 &#8211; 7 = 24<br \/>\nYour teacher divides the rest of the students into groups of 6.<br \/>\n24\/6 = 4 groups<br \/>\nThus there are 4 groups.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the product<\/strong><br \/>\nQuestion 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11405\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-18.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 18\" width=\"58\" height=\"82\" \/><br \/>\nAnswer: 48<\/p>\n<p>Explanation:<br \/>\nMultiply the two numbers 8 and 6.<br \/>\n8 \u00d7 6 = 48<\/p>\n<p>Question 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11406\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-19.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 19\" width=\"59\" height=\"88\" \/><br \/>\nAnswer: 72<\/p>\n<p>Explanation:<br \/>\nMultiply the two numbers 9 and 8.<br \/>\n9 \u00d7 8 = 72<\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11407\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-20.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 20\" width=\"63\" height=\"84\" \/><br \/>\nAnswer: 80<\/p>\n<p>Explanation:<br \/>\nMultiply the two numbers 10 and 8.<br \/>\n10 \u00d7 8 = 80<\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11408\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-21.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 21\" width=\"65\" height=\"89\" \/><br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nMultiply the two numbers 0 and 8.<br \/>\nAny number multiplied by 0 will be always 0.<br \/>\nThus 8 \u00d7 0 = 0<\/p>\n<p>Question 21.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11409\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-22.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.5 22\" width=\"64\" height=\"91\" \/><br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nMultiply the two numbers 1 and 8.<br \/>\nAny number multiplied by 1 will be always the same number.<br \/>\nSo, 1 \u00d7 8 = 8<\/p>\n<h3><a id=\"Lesson_4.6_Divide_by_8_or_9\"><\/a>Lesson 4.6 Divide by 8 or 9<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use repeated subtraction to find 48 \u00f7 8.<br \/>\nAnswer:<br \/>\n48 &#8211; 8 = 40<br \/>\n40 &#8211; 8 = 32<br \/>\n32 &#8211; 8 = 24<br \/>\n24 &#8211; 8 = 16<br \/>\n16 &#8211; 8 = 8<br \/>\n8 &#8211; 8 = 0<br \/>\nAt sixth number we got 0.<br \/>\nSo, 48\/8 in repeated subtraction is 6.<\/p>\n<p>Reasoning<br \/>\nHow many times did you subtract 8 from 48? Does the quotient represent the number of groups or the size of the groups? Explain.<br \/>\nAnswer: I subtracted 8 from 48 six times. Yes, the quotient represents the number of groups or size of the groups.<\/p>\n<p><strong>Think and Grow: Divide 8 or 9<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 40 \u00f7 8.<br \/>\nThink: 8 times what number is 40?<br \/>\n8 \u00d7 ____= 40<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11410\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-1.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 1\" width=\"252\" height=\"284\" \/><\/p>\n<p>Answer: 5<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 8<br \/>\nNumber of counters = 40<br \/>\nDivide the number of counters by the number of rows<br \/>\n40\/8 = 5<br \/>\nThus there are 5 columns.<br \/>\n8 times 5 is 40.<\/p>\n<p><strong>Example<\/strong><br \/>\nFind 54 \u00f7 9.<br \/>\nThink: 9 times what number is 54?<br \/>\n9 \u00d7 ____ = 54<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11411\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-2.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 2\" width=\"260\" height=\"283\" \/><\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 9<br \/>\nNumber of counters = 54<br \/>\nDivide the number of counters by the number of rows<br \/>\n54\/9 = 6<br \/>\nThus there are 6 columns.<br \/>\n9 times 6 is 54.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Complete the model and find the quotient<\/strong><br \/>\nQuestion 1.<br \/>\n24 \u00f7 8 = ____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11412\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-3.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 3\" width=\"199\" height=\"214\" \/><br \/>\n24 \u00f7 8 = ____<br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 8<br \/>\nNumber of counters = 24<br \/>\nDivide the number of counters by the number of rows<br \/>\n24\/8 = 3<br \/>\nThere are 3 columns<br \/>\n8 times 3 is 24.<\/p>\n<p>Question 2.<br \/>\n18 \u00f7 9 = ____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11413\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-4.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 4\" width=\"166\" height=\"230\" \/><br \/>\n18 \u00f7 9 = ____<br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 9<br \/>\nNumber of counters = 18<br \/>\nDivide the number of counters by the number of rows<br \/>\n18\/9 = 2<br \/>\nThere are 2 columns<br \/>\n2 times 9 is 18.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Complete the model and find the quotient<\/strong><br \/>\nQuestion 3.<br \/>\nFind 36 \u00f7 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11414\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-5.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 5\" width=\"197\" height=\"229\" \/><br \/>\n36 \u00f7 9 = _____<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 9<br \/>\nNumber of counters = 36<br \/>\nDivide the number of counters by the number of rows<br \/>\n36\/9 = 4<br \/>\nThere are 4 columns<br \/>\n4 times 9 is 36.<\/p>\n<p>Question 4.<br \/>\nFind 32 \u00f7 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11415\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-6.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 6\" width=\"187\" height=\"207\" \/><br \/>\n32 \u00f7 8 = ____<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 8<br \/>\nNumber of counters = 32<br \/>\nDivide the number of counters by the number of rows<br \/>\n32\/8 = 4<br \/>\nThere are 4 columns<br \/>\n8 times 4 is 32.<\/p>\n<p><strong>Find the quotient<\/strong><br \/>\nQuestion 5.<br \/>\n45 \u00f7 9 = _____<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 45 and 9<br \/>\n45\/9 = 5<br \/>\nThus the quotient is 5.<\/p>\n<p>Question 6.<br \/>\n56 \u00f7 8 = _____<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 56 and 8.<br \/>\n56\/8 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p>Question 7.<br \/>\n90 \u00f7 9 = ____<br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 90 and 9.<br \/>\n90\/9 = 10<br \/>\nThus the quotient is 10.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11416\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-7.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 7\" width=\"68\" height=\"68\" \/><br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 9 and 18<br \/>\n18\/9 = 2<br \/>\nThus the quotient is 2.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11417\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-8.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 8\" width=\"56\" height=\"59\" \/><br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 8 and 48<br \/>\n48\/8 = 6<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11418\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-9.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 9\" width=\"58\" height=\"66\" \/><br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 16 and 8.<br \/>\n16\/8 = 2<br \/>\nThus the quotient is 2.<\/p>\n<p>Question 11.<br \/>\nDivide 54 by 9.<br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 54 and 9<br \/>\n54\/9 = 6<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 12.<br \/>\nDivide 64 by 8.<br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 64 and 8.<br \/>\n64\/8 = 8<br \/>\nThus the quotient is 8.<\/p>\n<p>Question 13.<br \/>\nDivide 63 by 9<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 63 and 9<br \/>\n63\/9 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p><strong>Compare<\/strong><br \/>\nQuestion 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11419\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-10.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 10\" width=\"167\" height=\"43\" \/><br \/>\nAnswer: =<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers<br \/>\n81 \u00f7 9 = 9<br \/>\n72 \u00f7 8 = 9<br \/>\n9 = 9<br \/>\nSo, 81 \u00f7 9 = 72 \u00ad\u00f7 8<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11420\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-11.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 11\" width=\"165\" height=\"40\" \/><br \/>\nAnswer: &gt;<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers<br \/>\n72 \u00f7 9 = 8<br \/>\n40 \u00f7 8 = 5<br \/>\n8 &gt; 5<br \/>\nSo, 72 \u00f7 9 &gt; 40 \u00f7 8<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11548\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-12.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 12\" width=\"146\" height=\"51\" \/><br \/>\nAnswer: &lt;<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers<br \/>\n16 \u00f7 8 = 2<br \/>\n27 \u00f7 9 = 3<br \/>\n2 &lt; 3<br \/>\nSo, 16 \u00f7 8 &lt; 27 \u00f7 9<\/p>\n<p>Question 17.<br \/>\nA comic book has 63 pages. You read 9 pages each night. How many nights will it take to read the entire book?<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nA comic book has 63 pages. You read 9 pages each night.<br \/>\n63\/9 = 7<br \/>\nThus it will take 7 nights to read the entire book.<\/p>\n<p>Question 18.<br \/>\n<strong>Logic<\/strong><br \/>\nFind the missing number.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11422\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-13.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 13\" width=\"110\" height=\"111\" \/><br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\n8 times 8 is 64.<br \/>\nThus the missing number is 8.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>There are 9 innings in a baseball game. The table shows how many innings Newton played each season. How many games has Newton played in all?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11423\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-14.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 14\" width=\"250\" height=\"116\" \/><br \/>\nDivision equation:<br \/>\nNewton played ______ games in all.<\/p>\n<p>Answer:<br \/>\nGiven,<br \/>\nThere are 9 innings in a baseball game.<br \/>\nThe table shows how many innings Newton played each season.<br \/>\nSeason 1: 81\/9 = 9 games<br \/>\nSeason 2: 63\/9 = 7 games<br \/>\n9 + 7 = 16 games<br \/>\nTherefore Newton played 16 games in all.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 19.<br \/>\nThe third-grade and fourth-grade classes are going on a field trip. A van can carry 8 students. How many vans are needed in all?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11424\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-15.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 15\" width=\"272\" height=\"117\" \/><br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nThe third-grade and fourth-grade classes are going on a field trip.<br \/>\nA van can carry 8 students.<br \/>\nGrade 3 &#8211; 48 students<br \/>\nGrade 4 &#8211; 56 students<br \/>\nthird grade &#8211; 48\/8 = 6 vans<br \/>\nfourth grade &#8211; 56\/8 = 7 vans<br \/>\n6 + 7 = 13 vans<br \/>\nThus 13 vans are needed in all.<\/p>\n<p>Question 20.<br \/>\nSeventy-two ballet dancers are arranged into an array with 9 columns. How many dancers are in each column?<br \/>\nAnswer: 8 dancers<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nSeventy-two ballet dancers are arranged into an array with 9 columns.<br \/>\n72\/9 = 8<br \/>\nThus 8 dancers are in each column.<\/p>\n<p>Question 21<br \/>\nYou make 15 paper elephants and 17 paper lions. You give all of the animals away to 8 friends. Each friend gets the same number of animals. How many animals does each friend get?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11425\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-16.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 16\" width=\"222\" height=\"164\" \/><br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nYou make 15 paper elephants and 17 paper lions.<br \/>\n15 + 17 = 32<br \/>\nYou give all of the animals away to 8 friends.<br \/>\nEach friend gets the same number of animals.<br \/>\n32\/8 = 4<br \/>\nThus each friend gets 4 animals.<\/p>\n<h3><a id=\"Divide_by_8_or_9_Homework_&amp;_Practice_4.6\"><\/a>Divide by 8 or 9 Homework &amp; Practice 4.6<\/h3>\n<p><strong>Complete the model and find the quotient<\/strong><br \/>\nQuestion 1.<br \/>\nFind 16 \u00f7 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11426\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-17.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 17\" width=\"170\" height=\"206\" \/><br \/>\n16 \u00f7 8 = ____<br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 8<br \/>\nNumber of counters = 16<br \/>\nDivide the number of counters by the number of rows<br \/>\nDivision equation is 16 \u00f7 8 = 2<br \/>\nThus the number of columns is 2.<\/p>\n<p>Question 2.<br \/>\nFind 45 \u00f7 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11427\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-18.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 18\" width=\"207\" height=\"222\" \/><br \/>\n45 \u00f7 9 = _____<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 9<br \/>\nNumber of counters = 45<br \/>\nDivide the number of counters by the number of rows<br \/>\nDivision equation is 45 \u00f7 9 = 5<br \/>\nThus the number of columns is 5.<\/p>\n<p><strong>Find the quotient<\/strong><br \/>\nQuestion 3.<br \/>\n48 \u00f7 8. = _____<br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 48 and 8.<br \/>\n48\/8 = 6<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 4.<br \/>\n63 \u00f7 9 = ______<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 63 and 9.<br \/>\n63\/9 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p>Question 5.<br \/>\n54 \u00f7 9 = _____<br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 54 and 9.<br \/>\n54\/9 = 6<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11428\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-19.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 19\" width=\"60\" height=\"66\" \/><br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 32 and 8.<br \/>\n32\/8 = 4<br \/>\nThus the quotient is 4.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11429\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-20.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 20\" width=\"68\" height=\"70\" \/><br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 72 and 8.<br \/>\n72\/8 = 9<br \/>\nThus the quotient is 9.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11430\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-21.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 21\" width=\"57\" height=\"76\" \/><br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 18 and 9.<br \/>\n18\/9 = 2<br \/>\nThus the quotient is 2.<\/p>\n<p><strong>Compare<\/strong><br \/>\nQuestion 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11431\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-22.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 22\" width=\"158\" height=\"49\" \/><br \/>\nAnswer: =<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers<br \/>\n90\/9 = 10<br \/>\n80\/8 = 10<br \/>\n10 = 10<br \/>\n90 \u00f7 9 = 80 \u00f7 8<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11432\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-23.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 23\" width=\"162\" height=\"43\" \/><br \/>\nAnswer:\u00a0 &lt;<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers<br \/>\n27\/9 = 3<br \/>\n56\/8 = 7<br \/>\n3 &lt; 7<br \/>\n27 \u00f7 9 &lt; 56 \u00f7 8<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11433\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-24.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 24\" width=\"163\" height=\"43\" \/><br \/>\nAnswer: &gt;<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers<br \/>\n72 \u00f7 9 = 8<br \/>\n40 \u00f7 8 = 5<br \/>\n8 &gt; 5<br \/>\n72 \u00f7 9 &gt; 40 \u00f7 8<\/p>\n<p>Question 12.<br \/>\nA food truck owner needs 64 whole wheat pitas. The pitas come in packages of 8. How many packages should she buy?<br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nA food truck owner needs 64 whole-wheat pitas. The pitas come in packages of 8.<br \/>\n64 \u00f7 8 = 8<br \/>\nThus she should buy 8 packages.<\/p>\n<p>Question 13.<br \/>\n<strong>Patterns<\/strong><br \/>\nComplete the division tables.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11434\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-25.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 25\" width=\"544\" height=\"164\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-25.png 544w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-25-300x90.png 300w\" sizes=\"(max-width: 544px) 100vw, 544px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-13994\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-25-300x90.jpg\" alt=\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-25\" width=\"300\" height=\"90\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-25-300x90.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-25.jpg 544w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 14.<br \/>\n<strong>Structure<\/strong><br \/>\nDescribe two different ways to find 54 \u00f7 9.<br \/>\nAnswer: 6<br \/>\nThe different ways to find 54 \u00f7 9 is a division equation and multiplication equation.<br \/>\n54\/9 = 6<br \/>\n6 \u00d7 9 = 54<\/p>\n<p>Question 15.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA youth group leader is preparing for a remote-control car race. Batteries are sold in packs of 8. How many packs of batteries should he buy?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11435\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.6-26.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.6 26\" width=\"261\" height=\"137\" \/><br \/>\nAnswer:<br \/>\nGiven,<br \/>\nA youth group leader is preparing for a remote-control car race.<br \/>\nBatteries are sold in packs of 8.<br \/>\ncars &#8211; 48<br \/>\n48 \u00f7 8 = 6 batteries for cars<br \/>\n24 \u00f7 8 = 3 batteries for remote<\/p>\n<p>Question 16.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nNewton divides 32 treats equally between 8 friends. Descartes divides 27 treats equally between 9 friends. Whose friends get more treats? Explain.<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nNewton divides 32 treats equally between 8 friends.<br \/>\n32 \u00f7 8 = 4<br \/>\nDescartes divides 27 treats equally between 9 friends.<br \/>\n27 \u00f7 9 = 3<br \/>\nThus Newton&#8217;s friends get more treats.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the missing factor.<\/strong><br \/>\nQuestion 17.<br \/>\n____ \u00d7 4 = 0<br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nLet the missing factor be x.<br \/>\nx \u00d7 4 = 0<br \/>\nx = 0\/4<br \/>\nx = 0<br \/>\nThus the missing factor is 0.<\/p>\n<p>Question 18.<br \/>\n1 \u00d7 ____ = 2<br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nLet the missing factor be y.<br \/>\n1 \u00d7 y = 2<br \/>\ny = 2\/1<br \/>\ny = 2<br \/>\nThus the missing factor is 2.<\/p>\n<p>Question 19.<br \/>\n9 \u00d7 ____ = 9<br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\nLet the missing factor be z.<br \/>\n9 \u00d7 z = 9<br \/>\nz = 9\/9<br \/>\nz = 1<br \/>\nThus the missing factor is 1.<\/p>\n<h3><a id=\"Lesson_4.7_Divide_by_0_or_1\"><\/a>Lesson 4.7 Divide by 0 or 1<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Find the quotients<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11436\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-1.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 1\" width=\"564\" height=\"228\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-1.png 564w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-1-300x121.png 300w\" sizes=\"(max-width: 564px) 100vw, 564px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-14595\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-1-300x121.jpg\" alt=\"Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-1\" width=\"300\" height=\"121\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-1-300x121.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-1.jpg 564w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Structure<\/strong><br \/>\nWhat patterns do you notice? Use the patterns to find each quotient.<br \/>\n52 \u00f7 52 = _____<br \/>\n0 \u00f7 52 = _____<br \/>\n52 \u00f7 1 = ______<br \/>\nAnswer:<br \/>\n52 \u00f7 52 = 1<br \/>\nAny number divided by the same number will be always 1.<br \/>\n0 \u00f7 52 = 0<br \/>\nAny number divided by 0 will be always 0.<br \/>\n52 \u00f7 1 = 52<br \/>\nAny number divided by 1 will be the same number.<\/p>\n<p><strong>Think and Grow: Divide by 0 or 1<\/strong><\/p>\n<p>Dividing a number by 1 or itself:<br \/>\n\u2022 Any number divided by1 is itself.<br \/>\n\u2022 Any number (except 0) divided by itself is 1.<br \/>\n<strong>Example<\/strong><br \/>\nFind 7 \u00f7 1.<br \/>\nThink: 1 time what number is 7?<br \/>\n1 \u00d7 ____ = 7<br \/>\nWrite: 7 \u00d7 1 = _____<\/p>\n<p>Answer:<br \/>\nAny number divided by 1 will be the same number.<br \/>\n7 \u00d7 1 = 7<\/p>\n<p><strong>Example<\/strong><br \/>\nFind 5 \u00f7 5.<br \/>\nThink: 5 times what number is 5?<br \/>\n5 \u00d7 ____ = 5<br \/>\nWrite: 5 \u00f7 5 = _____<\/p>\n<p>Dividing with 0:<br \/>\n\u2022 0 divided by any number (except 0) is 0.<br \/>\n\u2022 You cannot divide by 0.<\/p>\n<p>Answer:<br \/>\n5 \u00d7 1 = 5<br \/>\n5 times 1 is 5.<br \/>\n5 \u00f7 5 = 1<\/p>\n<p><strong>Example<\/strong><br \/>\nFind 0 \u00f7 8.<br \/>\nThink: 8 times what number is 0?<br \/>\n8 \u00d7 ____ = 0<br \/>\nWrite: 0 \u00d7 8 = _____<\/p>\n<p>Answer:<br \/>\n0 times 8 is 0.<br \/>\nAny number multiplied by 0 is always 0.<br \/>\n0 \u00d7 8 = 0<\/p>\n<p><strong>Example<\/strong><br \/>\nFind 9 \u00f7 0.<br \/>\nThink: 0 times what number is 9?<br \/>\nThere is no such number. So, you cannot divide by 0.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Write the related multiplication fact. Then find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n2 \u00f7 2 = _____<br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 2, 1 is<br \/>\n2 \u00d7 1 = 2<br \/>\n1 \u00d7 2 = 2<br \/>\n2 \u00f7 2 = 1<br \/>\nThus the quotient is 1.<\/p>\n<p>Question 2.<br \/>\n0 \u00f7 3 = _____<br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 0, 3 is<br \/>\n0 \u00d7 3 = 0<br \/>\n3 \u00d7 0 = 0<br \/>\nThus the quotient is 0.<\/p>\n<p>Question 3.<br \/>\n10 \u00f7 1 =_____<br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 1, 10<br \/>\n1 \u00d7 10 = 10<br \/>\n10 \u00d7 1 = 10<br \/>\n10 \u00f7 1 = 10<br \/>\nThus the quotient is 10.<\/p>\n<p>Question 4.<br \/>\n25 \u00f7 25 = _____<br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 25, 1<br \/>\n1 \u00d7 25 = 25<br \/>\n25 \u00d7 1 = 25<br \/>\n25 \u00f7 25 = 1<br \/>\nThus the quotient is 1.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Write the related multiplication fact. Then find the quotient.<\/strong><br \/>\nQuestion 5.<br \/>\n6 \u00f7 1 = ______<br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 6,1<br \/>\n1 \u00d7 6 =6<br \/>\n6 \u00d7 1 = 6<br \/>\n6 \u00f7 1 = 6<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 6.<br \/>\n0 \u00f7 2 = _____<br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 0,2<br \/>\nAny number divided by 0 will be always 0.<br \/>\n0 \u00f7 2 = 0<br \/>\nThus the quotient is 0.<\/p>\n<p>Question 7.<br \/>\n9 \u00f7 9 = ____<br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 1, 9<br \/>\n1 \u00d7 9 = 9<br \/>\n9 \u00d7 1 = 9<br \/>\n9 \u00f7 9 = 1<br \/>\nThus the quotient is 1.<\/p>\n<p>Question 8.<br \/>\n8 \u00f7 1 = _____<br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 1, 8<br \/>\n1 \u00d7 8 = 8<br \/>\n8 \u00d7 1 =8<br \/>\n8 \u00f7 1 = 8<br \/>\nThus the quotient is 8.<\/p>\n<p><strong>Find the quotient<\/strong><br \/>\nQuestion 9.<br \/>\n5 \u00f7 1 = _____<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nAny number divided by 1 will be the same number.<br \/>\n5\/1 = 5<br \/>\nThus the quotient is 5<\/p>\n<p>Question 10.<br \/>\n0 \u00f7 7 = _____<br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nAny number divided by 0 will be always 0.<br \/>\n0\/7 = 0<br \/>\nThus the quotient is 0.<\/p>\n<p>Question 11.<br \/>\n4 \u00f7 4 = _____<br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\n4\/4 = 1<br \/>\nThus the quotient is 1.<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11437\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-2.1.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 2.1\" width=\"54\" height=\"62\" \/><br \/>\nAnswer: 15<\/p>\n<p>Explanation:<br \/>\nAny number divided by 1 will be the same number.<br \/>\n15\/1 = 1<br \/>\nThus the quotient is 15.<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11438\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-2.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 2\" width=\"60\" height=\"64\" \/><br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nAny number divided by 0 will be always 0.<br \/>\n0\/6 = 0<br \/>\nThus the quotient is 0.<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11439\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-3.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 3\" width=\"69\" height=\"56\" \/><br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\n24\/24 = 1<br \/>\nThus the quotient is 1.<\/p>\n<p><strong>Find the missing dividend or divisor.<\/strong><br \/>\nQuestion 15.<br \/>\n2 \u00f7 ____ = 2<br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor be x.<br \/>\n2 \u00f7 x = 2<br \/>\n2\/x = 2<br \/>\n2 = 2 \u00d7 x<br \/>\nx = 2\/2<br \/>\nx = 1<br \/>\nThus the missing divisor is 1.<\/p>\n<p>Question 16.<br \/>\n____ \u00f7 12 = 0<br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor be y.<br \/>\ny \u00f7 12 = 0<br \/>\ny\/12 = 0<br \/>\ny = 0 \u00d7 12<br \/>\ny = 0<br \/>\nThus the missing divisor is 0.<\/p>\n<p>Question 17.<br \/>\n8 \u00f7 ____ = 1<br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor be z.<br \/>\n8 \u00f7 z = 1<br \/>\n8\/z = 1<br \/>\n8 = 1 \u00d7 z<br \/>\nz = 8<br \/>\nThus the missing divisor is 8.<\/p>\n<p><strong>Compare<\/strong><br \/>\nQuestion 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11440\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-4.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 4\" width=\"149\" height=\"44\" \/><br \/>\nAnswer: &gt;<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers<br \/>\n4 \u00f7 1 = 4<br \/>\n3 \u00f7 1 = 3<br \/>\n4 &gt; 3<br \/>\nSo, 4 \u00f7 1 &gt; 3 \u00f7 1<\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11441\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-5.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 5\" width=\"152\" height=\"45\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-5.png 152w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-5-150x45.png 150w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><br \/>\nAnswer: =<\/p>\n<p>Explanation:<br \/>\nAny number divided by 0 will be always 0.<br \/>\n0 \u00f7 6 = 0<br \/>\n0 \u00f7 9 = 0<br \/>\nSo, 0 \u00f7 6 = 0 \u00f7 9<\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11442\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-6.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 6\" width=\"161\" height=\"52\" \/><br \/>\nAnswer: &lt;<\/p>\n<p>Explanation:<br \/>\nAny number divided by 0 will be always 0.<br \/>\n0 \u00f7 5 = 0<br \/>\n7 \u00f7 1 = 7<br \/>\n0 &lt; 7<br \/>\n0 \u00f7 5 &lt; 7 \u00f7 1<\/p>\n<p>Question 21.<br \/>\nThere are 2 cheese blocks. Each mousetrap has 1 cheese block on it. How many mousetraps are there?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11443\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-7.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 7\" width=\"205\" height=\"136\" \/><br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nThere are 2 cheese blocks. Each mousetrap has 1 cheese block on it.<br \/>\n2 \u00f7 1 = 2<br \/>\nThus there are 2 mousetraps.<\/p>\n<p>Question 22.<br \/>\n<strong>Reasoning<\/strong><br \/>\nYour friend says 14 \u00f7 0 and 0 \u00f7 14 both equal 0. Is your friend correct? Explain.<br \/>\nAnswer: Incorrect<\/p>\n<p>Explanation:<br \/>\nYour friend is incorrect because 0 divided by any number except 0 will be always 0.<br \/>\n0\/14 = 0<br \/>\nbut<br \/>\n14\/0 =\u00a0 infinity<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>A clown shares 10 balloons equally with 10 children. How many balloons does each child receive?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11444\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-8.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 8\" width=\"274\" height=\"290\" \/><br \/>\nDivision equation:<br \/>\nEach child receives a _____ balloon.<\/p>\n<p>Answer: 1<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nA clown shares 10 balloons equally with 10 children.<br \/>\n10\/10 = 1<br \/>\nTherefore each child receives 1 balloon.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 23.<br \/>\nYou have 9 tokens. You need 1 token to play an arcade game. How many games can you play?<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nYou have 9 tokens. You need 1 token to play an arcade game.<br \/>\n9\/1 = 9<br \/>\nThus you can play 9 games.<\/p>\n<p>Question 24.<br \/>\nYou have 9 quarters. You put 5 of them in your backpack. You divide the other quarters equally among 4 friends. How many quarters does each friend get?<br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nYou have 9 quarters. You put 5 of them in your backpack.<br \/>\n9 &#8211; 5 = 4<br \/>\nYou divide the other quarters equally among 4 friends.<br \/>\n4\/4 = 1<br \/>\nThus each friend gets 1 quarter.<\/p>\n<p>Question 25.<br \/>\nYou ask your friend the question below.<br \/>\n\u201cWhat is 475 divided by475?\u201d<br \/>\nYour friend immediately says 1. How does your friend solve the problem so quickly? Explain.<br \/>\nAnswer:<br \/>\n475\/475 = 1<br \/>\nYour friend solved the problem very quickly because he used the logic &#8221; Any number divided by the same number will be always 1&#8243;.<\/p>\n<h3><a id=\"Divide_by_0_or_1_Homework_&amp;_Practice_4.7\"><\/a>Divide by 0 or 1 Homework &amp; Practice 4.7<\/h3>\n<p><strong>Write the related multiplication fact. Then find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n3 \u00f7 1 = _____<br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 1,3<br \/>\n1 \u00d7 3 = 3<br \/>\n3 \u00d7 1 = 3<br \/>\nDivide the two numbers<br \/>\n3 \u00f7 1 = 3<br \/>\nThus the quotient is<\/p>\n<p>Question 2.<br \/>\n0 \u00f7 7 = _____<br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 0, 7<br \/>\n0 \u00d7 7 = 0<br \/>\n7 \u00d7 0 = 0<br \/>\nDivide the two numbers 0, 7<br \/>\n0\/7 = 0<br \/>\nThus the quotient is 0<\/p>\n<p><strong>Find the quotient.<\/strong><br \/>\nQuestion 3.<br \/>\n8 \u00f7 1 = _____<br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 1, 8<br \/>\n8 \u00d7 1 = 8<br \/>\n1 \u00d7 8 = 8<br \/>\nDivide the two numbers 8, 1<br \/>\n8\/1 = 8<br \/>\nThus the quotient is 8<\/p>\n<p>Question 4.<br \/>\n0 \u00f7 2 = _____<br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 0, 2<br \/>\n0 \u00d7 2 = 0<br \/>\n2 \u00d7 0 = 0<br \/>\nDivide the two numbers<br \/>\n0\/2 = 0<br \/>\nThus the quotient is 0<\/p>\n<p>Question 5.<br \/>\n7 \u00f7 7 = _____<br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 7, 1<br \/>\n1 \u00d7 7 = 7<br \/>\n7 \u00d7 1 = 7<br \/>\nDivide the two numbers<br \/>\n7\/7 = 1<br \/>\nThus the quotient is 1<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11445\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-9.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 9\" width=\"75\" height=\"70\" \/><br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 1, 12<br \/>\n12 \u00d7 1 = 12<br \/>\n1 \u00d7 12 = 12<br \/>\nDivide the two numbers<br \/>\n12\/12 = 1<br \/>\nThus the quotient is 1<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11446\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-10.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 10\" width=\"77\" height=\"81\" \/><br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 1, 4<br \/>\n1 \u00d7 4 = 4<br \/>\n4 \u00d7 1 = 4<br \/>\nDivide the two numbers<br \/>\n4\/1 = 4<br \/>\nThus the quotient is 4<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11447\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-11.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 11\" width=\"70\" height=\"74\" \/><br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nThe related multiplication fact for 0, 10<br \/>\n0 \u00d7 10 = 0<br \/>\n10 \u00d7 0 = 0<br \/>\nDivide the two numbers<br \/>\n0\/10 = 0<br \/>\nThus the quotient is 0<\/p>\n<p><strong>Find the missing dividend or divisor<\/strong><br \/>\nQuestion 9.<br \/>\n____ \u00f7 3 = 0<br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nLet the missing dividend be x<br \/>\nx \u00f7 3 = 0<br \/>\nx\/3 = 0<br \/>\nx = 0 \u00d7 3<br \/>\nx = 0<br \/>\nThus the missing dividend is 0.<\/p>\n<p>Question 10.<br \/>\n10 \u00f7 ____ = 10<br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor be y.<br \/>\n10 \u00f7 y = 10<br \/>\n10\/y = 10<br \/>\n10 = y \u00d7 10<br \/>\ny = 10\/10<br \/>\ny = 1<br \/>\nThus the missing divisor is 1.<\/p>\n<p>Question 11.<br \/>\n____ \u00f7 4 = 0<br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nLet the missing dividend be z.<br \/>\nz \u00f7 4 = 0<br \/>\nz\/4 = 0<br \/>\nz = 0 \u00d7 4<br \/>\nz = 0<br \/>\nThus the missing dividend is 0.<\/p>\n<p><strong>Compare<\/strong><br \/>\nQuestion 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11448\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-12.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 12\" width=\"144\" height=\"51\" \/><br \/>\nAnswer: =<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers<br \/>\n0 \u00f7 7 = 0<br \/>\n0 \u00f7 1 = 0<br \/>\n0 = 0<br \/>\n0 \u00f7 7 = 0 \u00f7 1<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11449\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-13.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 13\" width=\"144\" height=\"48\" \/><br \/>\nAnswer: &lt;<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers<br \/>\n0 \u00f7 9 = 0<br \/>\n2 \u00f7 1 = 2<br \/>\n0 &lt; 2<br \/>\n0 \u00f7 9 &lt; 2 \u00ad\u00f7 1<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11450\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-14.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 14\" width=\"155\" height=\"60\" \/><br \/>\nAnswer: &gt;<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers<br \/>\n6 \u00f7 1 = 6<br \/>\n6 \u00f7 6 = 1<br \/>\n6 &gt; 1<br \/>\n6 \u00f7 1 &gt; 6 \u00f7 6<\/p>\n<p>Question 15.<br \/>\n<strong>Reasoning<\/strong><br \/>\nHow are the multiplication rules for 0 and 1 similar to the division rules for 0 and 1? How are they different?<br \/>\nAnswer:<br \/>\nMultiplication and division are closely related, given that division is the inverse operation of multiplication. When we divide, we look to separate into equal groups, while multiplication involves joining equal groups.<br \/>\nmultiplication rules for 0 and 1 are not similar to division rules for 0 and 1.<br \/>\nAny number multiplied by 0 will be zero.<br \/>\nBut any number divided by 0 will be infinity.<\/p>\n<p>Question 16.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWhich has the greatest quotient?<br \/>\n6 \u00f7 6<br \/>\n4 \u00f7 1<br \/>\n0 \u00f7 8<br \/>\n3 \u00f7 1<br \/>\nAnswer: 4 \u00f7 1<\/p>\n<p>Explanation:<br \/>\n6 \u00f7 6 = 1<br \/>\n4 \u00f7 1 = 4<br \/>\n0 \u00f7 8 = 0<br \/>\n3 \u00f7 1 = 3<br \/>\nThus the correct answer is option b.<\/p>\n<p>Question 17.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nUse the numbers 0, 1, 5, and 10 to make the number sentence true.<br \/>\n____ \u00f7 _____ &lt; _____ \u00f7 ______<br \/>\nAnswer:<br \/>\nYou need to write the equation by using the above numbers.<br \/>\n0 \u00f7 1 &lt; 5 \u00f7 10<\/p>\n<p>Question 18.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThere are 5 bird eggs. An equal number of eggs hatch each day for 5 days. How many eggs hatch each day?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11451\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.7-15.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies 4.7 15\" width=\"196\" height=\"146\" \/><br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nThere are 5 bird eggs. An equal number of eggs hatch each day for 5 days.<br \/>\n5\/5 = 1<br \/>\nTherefore 1 egg hatch each day.<\/p>\n<p>Question 19.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA hotel orders twenty-four 48-inch televisions and twenty-six 60-inch televisions. The hotel puts 1 television in each room. How many rooms can get a new television?<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nA hotel orders twenty-four 48-inch televisions and twenty-six 60-inch televisions.<br \/>\nThe hotel puts 1 television in each room.<br \/>\n24 + 26 = 50<br \/>\nThus 50 rooms can get a new television.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 20.<br \/>\n2 \u00d7 4 \u00d7 1 = _____<br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nFirst multiply 2 \u00d7 4<br \/>\n2 \u00d7 4 = 8<br \/>\n8 \u00d7 1 = 8<br \/>\nSo, 2 \u00d7 4 \u00d7 1 = 8<\/p>\n<p>Question 21.<br \/>\n2 \u00d7 3 \u00d7 5 = _____<br \/>\nAnswer: 30<\/p>\n<p>Explanation:<br \/>\nMultiply 2 and 3<br \/>\n2 \u00d7 3 = 6<br \/>\n6 \u00d7 5 = 30<br \/>\nSo, 2 \u00d7 3 \u00d7 5 = 30<\/p>\n<p>Question 22.<br \/>\n2 \u00d7 3 \u00d7 7 = _____<br \/>\nAnswer: 42<\/p>\n<p>Explanation:<br \/>\nMultiply 2 and 3<br \/>\n2 \u00d7 3 = 6<br \/>\n6 \u00d7 7 = 42<br \/>\nSo, 2 \u00d7 3 \u00d7 7 = 42<\/p>\n<p>Question 23.<br \/>\n5 \u00d7 (2 \u00d7 9) = _____<br \/>\nAnswer: 90<\/p>\n<p>Explanation:<br \/>\nFirst, multiply the numbers in the bracket.<br \/>\n2 \u00d7 9 = 18<br \/>\n18 \u00d7 5 = 90<\/p>\n<p>Question 24.<br \/>\n2 \u00d7 (3 \u00d7 3) = _____<br \/>\nAnswer: 18<\/p>\n<p>Explanation:<br \/>\nFirst, multiply the numbers in the bracket.<br \/>\n3 \u00d7 3 = 9<br \/>\n9 \u00d7 2 = 18<\/p>\n<p>Question 25.<br \/>\n2 \u00d7 (8 \u00d7 1) = _____<br \/>\nAnswer: 16<\/p>\n<p>Explanation:<br \/>\nFirst, multiply the numbers in the bracket.<br \/>\n8 \u00d7 1 = 8<br \/>\n2 \u00d7 8 = 16<\/p>\n<h3><a id=\"Lesson_4.8_Practice_Division_Strategies\"><\/a>Lesson 4.8 Practice Division Strategies<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use and Strategies to find the quotient<br \/>\n36 \u00f7 4 = _____<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nYou can find the quotient by using the number line.<\/p>\n<p><strong>Construct Arguments<\/strong><br \/>\nWhat other strategies can you use to solve? Explain the strategy to your partner.<br \/>\nAnswer:<br \/>\nYou can also find the quotient by using the repeated subtraction.<br \/>\n36 &#8211; 4 = 32<br \/>\n32 &#8211; 4 = 28<br \/>\n28 &#8211; 4 = 24<br \/>\n24 &#8211; 4 = 20<br \/>\n20 &#8211; 4 = 16<br \/>\n16 &#8211; 4 = 12<br \/>\n12 &#8211; 4 = 8<br \/>\n8 &#8211; 4 = 4<br \/>\n4 &#8211; 4 = 0<br \/>\nCount the number of times subtraction repeated.<br \/>\nThe subtraction repeated 9 times.<br \/>\nThus the quotient is 9.<\/p>\n<p><strong>Think and Grow: Practice Division Strategies<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 45 \u00f7 5.<br \/>\nOne Way:<br \/>\nUse a multiplication fact. Draw an array to help.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11452\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-1.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 1\" width=\"607\" height=\"234\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-1.png 607w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-1-300x116.png 300w\" sizes=\"(max-width: 607px) 100vw, 607px\" \/><\/p>\n<p>Another Way:<br \/>\nUse a number line. Start at 45. Count back by 5s until you reach 0.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11453\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-2.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 2\" width=\"419\" height=\"162\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-2.png 419w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-2-300x116.png 300w\" sizes=\"(max-width: 419px) 100vw, 419px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Use any strategy to find the quotient.<\/strong><br \/>\nQuestion 1.<br \/>\n30 \u00f7 6 = _____<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-11326\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-1.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 4.2 1\" width=\"616\" height=\"254\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-1.png 616w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-4.2-1-300x124.png 300w\" sizes=\"(max-width: 616px) 100vw, 616px\" \/><\/p>\n<p>Multiplication:<br \/>\n5 rows of 6 counters<br \/>\n5 \u00d7 6 = 30<br \/>\n30 counters<br \/>\nDivision:<br \/>\n30 counters in 5 equal rows<br \/>\n30 \u00f7 5 = 6<br \/>\n60 counters in each row.<br \/>\nFact family for 5, 6 and 30:<br \/>\n5 \u00d7 6 = 30<br \/>\n6 \u00d7 5 = 30<br \/>\n30 \u00f7 5 = 6<br \/>\n30 \u00f7 6 = 5<\/p>\n<p>Question 2.<br \/>\n56 \u00f7 8 = _____<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nNumber of rows = 8<br \/>\nNumber of counters = 56<br \/>\nDivide the number of rows by the number of counters.<br \/>\n56\/8 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Use any strategy to find the quotient.<\/strong><br \/>\nQuestion 3.<br \/>\n40 \u00f7 10 = _____<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nYou can find the quotient by using the repeated subtraction.<br \/>\n40 &#8211; 10 = 30<br \/>\n30 &#8211; 10 = 20<br \/>\n20 &#8211; 10 = 10<br \/>\n10 &#8211; 10 = 0<br \/>\nThus the quotient is 4.<\/p>\n<p>Question 4.<br \/>\n18 \u00f7 3 = _____<br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nYou can find the quotient by using the repeated subtraction.<br \/>\n18 &#8211; 3 = 15<br \/>\n15 &#8211; 3 = 12<br \/>\n12 &#8211; 3 = 9<br \/>\n9 &#8211; 3 = 6<br \/>\n6 &#8211; 3 = 3<br \/>\n3 &#8211; 3 = 0<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 5.<br \/>\n49 \u00f7 7 = ____<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nYou can find the quotient by using the repeated subtraction.<br \/>\n49 &#8211; 7 = 42<br \/>\n42 &#8211; 7 = 35<br \/>\n35 &#8211; 7 = 28<br \/>\n28 &#8211; 7 = 21<br \/>\n21 &#8211; 7 = 14<br \/>\n14 &#8211; 7 = 7<br \/>\n7 &#8211; 7 = 0<br \/>\nThus the quotient is 7.<\/p>\n<p>Question 6.<br \/>\n____ = 36 \u00f7 9<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nYou can find the quotient by using the repeated subtraction.<br \/>\n36 &#8211; 9 = 27<br \/>\n27 &#8211; 9 = 18<br \/>\n18 &#8211; 9 = 9<br \/>\n9 &#8211; 9 = 0<br \/>\nThus the quotient is 4.<\/p>\n<p>Question 7.<br \/>\n____ = 4 \u00f7 4<br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\nYou can find the quotient by using the repeated subtraction.<br \/>\n4 &#8211; 4 = 0<br \/>\nThus the quotient is 1.<\/p>\n<p>Question 8.<br \/>\n______ = 18 \u00f7 2<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nYou can find the quotient by using the repeated subtraction.<br \/>\n18 &#8211; 2 = 16<br \/>\n16 &#8211; 2 = 14<br \/>\n14 &#8211; 2 = 12<br \/>\n12 &#8211; 2 = 10<br \/>\n10 &#8211; 2 = 8<br \/>\n8 &#8211; 2 = 6<br \/>\n6 &#8211; 2 = 4<br \/>\n4 &#8211; 2 = 2<br \/>\n2 &#8211; 2 = 0<br \/>\nThus the quotient is 0.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11454\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-3.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 3\" width=\"65\" height=\"67\" \/><br \/>\nAnswer: 12<\/p>\n<p>Explanation:<br \/>\nYou can find the quotient by using the repeated subtraction.<br \/>\n12 &#8211; 1 = 11<br \/>\n11 &#8211; 1 = 10<br \/>\n10 &#8211; 1 = 9<br \/>\n9 &#8211; 1 = 8<br \/>\n8 &#8211; 1 = 7<br \/>\n7 &#8211; 1 = 6<br \/>\n6 &#8211; 1 = 5<br \/>\n5 &#8211; 1 = 4<br \/>\n4 &#8211; 1 = 3<br \/>\n3 &#8211; 1 = 2<br \/>\n2 &#8211; 1 = 1<br \/>\n1 &#8211; 1 = 0<br \/>\nThus the quotient is 12.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11455\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-4.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 4\" width=\"54\" height=\"70\" \/><br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 5 and 40<br \/>\n40\/5 = 8<br \/>\nThus the quotient is 8.<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11456\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-5.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 5\" width=\"57\" height=\"70\" \/><br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 8 and 48<br \/>\n48\/8 = 6<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11457\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-6.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 6\" width=\"69\" height=\"69\" \/><br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 6 and 24<br \/>\n24\/6 = 4<br \/>\nThus the quotient is 4.<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11458\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-7.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 7\" width=\"59\" height=\"67\" \/><br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 4 and 20.<br \/>\n20\/4 = 5<br \/>\nThus the quotient is 5.<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11459\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-8.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 8\" width=\"54\" height=\"70\" \/><br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 7 and 21<br \/>\n21\/7 = 3<br \/>\nThus the quotient is 3.<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11460\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-9.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 9\" width=\"66\" height=\"76\" \/><br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 2 and 20.<br \/>\n20\/2 = 10<br \/>\nThus the quotient is 10.<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11461\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-10.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 10\" width=\"56\" height=\"69\" \/><br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 0 and 7<br \/>\n0\/7 = 0<br \/>\nThus the quotient is 0.<\/p>\n<p>Question 17.<br \/>\nDivide 54 by 6.<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 54 and 6.<br \/>\n54\/6 = 9<br \/>\nThus the quotient is 9.<\/p>\n<p>Question 18.<br \/>\nDivide 27 by 9.<br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 9 and 27.<br \/>\n27\/9 = 3<br \/>\nThus the quotient is 3.<\/p>\n<p>Question 19.<br \/>\nDivide 70 by 10.<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 10 and 70<br \/>\n70\/10 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p>Question 20.<br \/>\nA construction worker wants to build a 32-foot-long wall in 8 hours. How many feet should he complete each hour so that it is built on time?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11462\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-11.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 11\" width=\"242\" height=\"180\" \/><br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nA construction worker wants to build a 32-foot-long wall in 8 hours.<br \/>\n32\/4 = 4<br \/>\nThus he should complete 4 feet each hour.<\/p>\n<p>Question 21.<br \/>\n<strong>Writing<\/strong><br \/>\nHow can you use multiplication to help find 42 \u00f7 7? Explain.<br \/>\nAnswer:<br \/>\n42 = x \u00d7 7<br \/>\nx = 42\/7<br \/>\nx = 6<br \/>\nSo, 42 \u00f7 7 = 6<\/p>\n<p>Question 22.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says she only needs to write two equations for the 4, 4, 16 fact family. Is your friend correct? Explain.<br \/>\nAnswer:<br \/>\n4 \u00d7 4 = 16<br \/>\n16 \u00f7 4 = 4<br \/>\nYes, your friend is correct.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>There are 72 oranges at a grocery store arranged into an array with 9 columns. There are 80 lemons arranged into an array with 8 columns. Which fruits as more rows?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11463\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-12.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 12\" width=\"227\" height=\"187\" \/><br \/>\nModels:<br \/>\nDivision equations:<br \/>\nThe ______ have more rows.<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nThere are 72 oranges at a grocery store arranged into an array with 9 columns.<br \/>\n72 \u00f7 9 = 8<br \/>\nThere are 80 lemons arranged into an array with 8 columns.<br \/>\n80 \u00f7 8 = 10<br \/>\nThus lemons have more rows.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 23.<br \/>\nThere are 63 peaches arranged into an array with 7 rows. There are 70 pears arranged into an array with 10 rows. Which fruit has more columns?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11464\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-13.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 13\" width=\"158\" height=\"163\" \/><br \/>\nAnswer:<br \/>\nGiven,<br \/>\nThere are 63 peaches arranged into an array with 7 rows.<br \/>\n63 \u00f7 7 = 9<br \/>\nThere are 70 pears arranged into an array with 10 rows.<br \/>\n70 \u00f7 10 = 7<br \/>\nThus peaches have more columns.<\/p>\n<p>Question 24.<br \/>\nNewton has 20 quarters. He wants to trade all of them for bills. How many $1 bills would he get? How many $5 bills would he get?<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nNewton has 20 quarters. He wants to trade all of them for bills<br \/>\n20\/5 = 4<br \/>\nThus he will get four $5 bills.<\/p>\n<p>Question 25.<br \/>\nA box of fruit snacks costs $5. Each box has 8 bags. Descartes spends $20 on fruit snacks. How many bags of fruit snacks does he get?<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nA box of fruit snacks costs $5. Each box has 8 bags.<br \/>\n$5 \u00d7 8 = $40<br \/>\nDescartes spends $20 on fruit snacks.<br \/>\n40 &#8211; 20 = $20<br \/>\nThus Descartes get 4 bags of fruit snacks.<\/p>\n<h3><a id=\"Practice_Division_Strategies_Homework_&amp;_Practice_4.8\"><\/a>Practice Division Strategies Homework &amp; Practice 4.8<\/h3>\n<p><strong>Use any strategy to find the quotient<\/strong><br \/>\nQuestion 1.<br \/>\n8 \u00f7 1 = ____<br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 8 and 1.<br \/>\n8\/1 = 8<br \/>\nThus the quotient is 8.<\/p>\n<p>Question 2.<br \/>\n25 \u00f7 5 = _____<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 5 and 25.<br \/>\n25\/5 = 5<br \/>\nThus the quotient is 5.<\/p>\n<p>Question 3.<br \/>\n72 \u00f7 8 = _____<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 8 and 72.<br \/>\n72\/8 = 9<br \/>\nThus the quotient is 9.<\/p>\n<p>Question 4.<br \/>\n____ = 45 \u00f7 9<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 9 and 45<br \/>\n45\/9 = 5<br \/>\nThus the quotient is 5.<\/p>\n<p>Question 5.<br \/>\n____ = 0 \u00f7 3.<br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 0 and 3.<br \/>\n0 divided by any number is zero.<br \/>\n0\/3 = 0<br \/>\nThus the quotient is 0.<\/p>\n<p>Question 6.<br \/>\n____ = 18 \u00f7 2<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 18 and 2.<br \/>\n18\/2 = 9<br \/>\nThus the quotient is 9.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11465\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-14.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 14\" width=\"53\" height=\"73\" \/><br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 9 and 27.<br \/>\n27\/9 = 3<br \/>\nThus the quotient is 3.<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11466\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-15.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 15\" width=\"59\" height=\"79\" \/><br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 14 and 7.<br \/>\n14\/7 = 2<br \/>\nThus the quotient is 2.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11467\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-16.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 16\" width=\"60\" height=\"84\" \/><br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 2 and 20.<br \/>\n20\/2 = 10<br \/>\nThus the quotient is 10.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11468\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-17.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 17\" width=\"62\" height=\"82\" \/><br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 3 and 12<br \/>\n12\/3 = 4<br \/>\nThus the quotient is 4.<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11469\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-18.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 18\" width=\"69\" height=\"84\" \/><br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 16 and 16<br \/>\n16\/16 = 1<br \/>\nThus the quotient is 1.<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11470\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-19.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 19\" width=\"68\" height=\"81\" \/><br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 10 and 70.<br \/>\n70\/10 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11471\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-20.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 20\" width=\"64\" height=\"81\" \/><br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 5 and 30.<br \/>\n30\/5 = 6<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11472\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-21.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 21\" width=\"56\" height=\"79\" \/><br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 8 and 64.<br \/>\n64\/8 = 8<br \/>\nThus the quotient is 8.<\/p>\n<p>Question 15.<br \/>\nDivide 60 by 6.<br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 6 and 60<br \/>\n60\/6 = 10<br \/>\nThus the quotient is 10.<\/p>\n<p>Question 16.<br \/>\nDivide 9 by 3.<br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 3 and 9.<br \/>\n9\/3 = 3<br \/>\nThus the quotient is 3.<\/p>\n<p>Question 17.<br \/>\nDivide 63 by 9.<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 9 and 63.<br \/>\n63\/9 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p>Question 18.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWithout dividing, how can you tell which quotient is smaller, 30 \u00f7 5 or 30 \u00f7 6? Explain.<br \/>\nAnswer: The quotient of 30 \u00f7 6\u00a0 is smaller.<\/p>\n<p>Explanation:<br \/>\nThe largest divisor will have the smallest quotient.<br \/>\n30 \u00f7 5 = 6<br \/>\n30 \u00f7 6 = 5<\/p>\n<p>Question 19.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWhich expressions have a quotient of 7?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11473\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-23.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 23\" width=\"471\" height=\"75\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-23.png 471w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-23-300x48.png 300w\" sizes=\"(max-width: 471px) 100vw, 471px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-14846\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-23-300x48.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-23\" width=\"300\" height=\"48\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-23-300x48.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-23.jpg 471w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Explanation:<br \/>\n70\/10 = 7<br \/>\n64\/8 = 8<br \/>\n35 \u00f7 5 = 7<br \/>\n42 \u00f7 7 = 6<br \/>\n21 \u00f7 3 = 7<br \/>\n24 \u00f7 8 = 3<br \/>\n7 \u00f7 1 = 7<\/p>\n<p>Question 20.<br \/>\n<strong>Reasoning<\/strong><br \/>\nUse +, -, \u00d7, or to complete the equations.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11535\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-22.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 22\" width=\"550\" height=\"83\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-22.png 550w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-22-300x45.png 300w\" sizes=\"(max-width: 550px) 100vw, 550px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-14849\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-11-1-300x105.jpg\" alt=\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-11\" width=\"300\" height=\"105\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-11-1-300x105.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.5-11-1.jpg 302w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 21.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nNewton has 60 dimes. He trades all of them for $1 bills. How many bills does he get?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11474\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-24.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 24\" width=\"197\" height=\"133\" \/><br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nNewton has 60 dimes. He trades all of them for $1 bills.<br \/>\nConvert from dime to dollar.<br \/>\n10 dime = 1 dollar<br \/>\n60 dimes = $6<\/p>\n<p>Question 22.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nTwo girls are getting braids in their hair. The first girl wants a total of 30 beads with 3 beads on each braid. The second girl wants a total of 45 beads with 5 beads on each braid. Which girl has more braids?<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nTwo girls are getting braids in their hair.<br \/>\nThe first girl wants a total of 30 beads with 3 beads on each braid.<br \/>\n30\/3 = 10<br \/>\nThe second girl wants a total of 45 beads with 5 beads on each braid.<br \/>\n45\/5 = 9<br \/>\nThe first girl has more braids.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the sum.<\/strong><br \/>\nQuestion 23.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11475\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-25.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 25\" width=\"121\" height=\"100\" \/><br \/>\nAnswer: 597<\/p>\n<p>460<br \/>\n<span style=\"text-decoration: underline;\">+137<\/span><br \/>\n597<\/p>\n<p>Question 24.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11476\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-26.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 26\" width=\"121\" height=\"98\" \/><br \/>\nAnswer: 932<br \/>\n625<br \/>\n<span style=\"text-decoration: underline;\">+297<\/span><br \/>\n932<\/p>\n<p>Question 25.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11477\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.8-27.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies 4.8 27\" width=\"118\" height=\"99\" \/><br \/>\nAnswer: 750<br \/>\n386<br \/>\n<span style=\"text-decoration: underline;\">+ 364<\/span><br \/>\n750<\/p>\n<h3><a id=\"Lesson_4.9_Problem_Solving:_Division\"><\/a>Lesson 4.9 Problem Solving: Division<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use any strategy to solve.<br \/>\nThere are 27 cups for a cup-stacking game. There are 3 players. Each player gets an equal number of cups. How many cups does each player get?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11479\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.9-1.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.9 1\" width=\"192\" height=\"254\" \/><br \/>\nAnswer:<br \/>\nGiven,<br \/>\nThere are 27 cups for a cup-stacking game.<br \/>\nThere are 3 players.<br \/>\n27\/3 = 9<br \/>\nEach player gets an equal number of cups.<br \/>\nThus each player gets 9 cups.<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nCompare your strategy to your partner\u2019s strategy. How are they the same? How are they different?<\/p>\n<p><strong>Think and Grow: Using the Problem-Solving Plan<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nNewton buys a box of flower vases. The box has 2 rows with 4 vases in each row. The box costs $48. How much does each vase cost?<br \/>\n<strong>Understand the Problem<\/strong><br \/>\nWhat do you need to find?<br \/>\n\u2022 You need to find how much each ______ costs.<\/p>\n<p>Answer: You need to find each vase cost.<\/p>\n<p>What do you know?<br \/>\n\u2022 The box has ______ rows of vases.<br \/>\n\u2022 Each row has ______ vases.<br \/>\n\u2022 The box costs _____.<\/p>\n<p>Answer:<br \/>\n\u2022 The box has 2 rows of vases.<br \/>\n\u2022 Each row has 4 vases.<br \/>\n\u2022 The box costs $48.<\/p>\n<p><strong>Make a Plan<\/strong><\/p>\n<p>How will you solve?<br \/>\n\u2022 Multiply _____ by ______ to find how many _______ are in the box.<br \/>\n\u2022 Then divide _______ by the product.<\/p>\n<p>Answer:<br \/>\n\u2022 Multiply 2 by 4 to find how many vases are in the box.<br \/>\n\u2022 Then divide cost by the product.<\/p>\n<p><strong>Solve<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11480\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.9-2.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.9 2\" width=\"560\" height=\"113\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.9-2.png 560w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.9-2-300x61.png 300w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><br \/>\nEach vase costs _______.<\/p>\n<p>Answer:<br \/>\n2 \u00d7 4 = 8<br \/>\n48\/8 = 6<br \/>\nThus each vase cost $6.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nDescartes buys 3 packs of colored pencils and a backpack. He spends $33. The backpack costs $12. Each pack of colored pencils costs the same amount. How much is each pack of colored pencils?<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nDescartes buys 3 packs of colored pencils and a backpack.<br \/>\nHe spends $33. The backpack costs $12.<br \/>\n33 &#8211; 12 = $21<br \/>\nEach pack of colored pencils costs the same amount.<br \/>\n21\/3 = $7<br \/>\nThus each pack of colored pencils is $7.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Question 2.<br \/>\nYou have 4 pages of homework and 2 chores to complete before you get free time. Each task takes 7 minutes to complete. You have60 minutes until dinner. What information do you know that will help you find how much free time you will have before dinner?<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nYou have 4 pages of homework and 2 chores to complete before you get free time.<br \/>\nEach task takes 7 minutes to complete.<br \/>\n4 + 2 = 6<br \/>\n6 \u00d7 7 = 42 minutes<br \/>\nYou have 60 minutes until dinner.<br \/>\n60 &#8211; 42 = 18 minutes<br \/>\nYou will have 18 minutes of free time before dinner.<\/p>\n<p>Question 3.<br \/>\nYou are using dots to create a picture. You use 99 dots in all. Forty-six are blue. Thirty-five are purple. You use an equal number of yellow and green dots for the rest of the picture. How many green dots are in your picture?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11481\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.9-3.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.9 3\" width=\"135\" height=\"186\" \/><br \/>\nAnswer:<br \/>\nGiven,<br \/>\nYou are using dots to create a picture. You use 99 dots in all. Forty-six are blue.<br \/>\nThirty-five are purple.<br \/>\n35 + 46 = 81<br \/>\n99 &#8211; 81 = 18<br \/>\nYou use an equal number of yellow and green dots for the rest of the picture.<br \/>\n18\/2 = 9<br \/>\nYou use 9 yellow dots and 9 green dots.<\/p>\n<p>Question 4.<br \/>\nYou are making oatmeal for each of your 4 family members. You have 36 raisins and 20 blueberries. You want everyone to get an equal number of each. How many raisins and how many blueberries should you put in each bowl?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11482\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.9-4.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.9 4\" width=\"194\" height=\"122\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11483\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.9-5.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.9 5\" width=\"180\" height=\"99\" \/><br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nYou are making oatmeal for each of your 4 family members.<br \/>\nYou have 36 raisins and 20 blueberries.<br \/>\n36 + 20 = 56<br \/>\nYou want everyone to get an equal number of each.<br \/>\n56\/4 = 14<br \/>\nTherefore 14 raisins and blueberries should put in each bowl.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p>You have 2 boxes of crayons. One box has 24 crayons. The other box has 48 crayons. Eighteen of the crayons are broken. You put the crayons that are not broken, into 6 equal groups. How many crayons are in each group?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11484\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.9-6.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.9 6\" width=\"188\" height=\"140\" \/><br \/>\nUnderstand the problem:<br \/>\nMake a plan:<br \/>\nSolve:<br \/>\nThere are _____ crayons in each group.<\/p>\n<p>Answer:<br \/>\nYou have 2 boxes of crayons. One box has 24 crayons. The other box has 48 crayons.<br \/>\n24 + 48 = 72 crayons<br \/>\nEighteen of the crayons are broken.<br \/>\n72 &#8211; 18 = 54 crayons<br \/>\nYou put the crayons that are not broken, into 6 equal groups.<br \/>\n54\/6 = 9 crayons.<br \/>\nTherefore there are 9 crayons in each group.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 5.<br \/>\nYou have 2 bags of beach glass. One bag has 17 pieces. The other bag has 18 pieces. You give 5 pieces to your friend. You sort the rest of the pieces into 3 equal groups. How many pieces are in each group?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11485\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.9-7.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.9 7\" width=\"194\" height=\"184\" \/><br \/>\nExplain how you can check your answer.<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nYou have 2 bags of beach glass. One bag has 17 pieces. The other bag has 18 pieces.<br \/>\n17 + 18 = 35 pieces<br \/>\nYou give 5 pieces to your friend.<br \/>\n35 &#8211; 5 = 30 pieces<br \/>\nYou sort the rest of the pieces into 3 equal groups.<br \/>\n30\/3 = 10<br \/>\nThus there are 10 pieces in each group.<\/p>\n<h3><a id=\"Problem_Solving:_Division_Homework_Practice_4.9\"><\/a>Problem Solving: Division Homework &amp; Practice 4.9<\/h3>\n<p>Question 1.<br \/>\nA truck carries 4 chairs and a table. The table weighs 35 pounds. The total weight of the chairs and table is 63 pounds. How much does each chair weigh?<br \/>\nAnswer: 7 pounds<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nA truck carries 4 chairs and a table. The table weighs 35 pounds.<br \/>\nThe total weight of the chairs and table is 63 pounds.<br \/>\n63 pounds &#8211; 35 pounds = 28 pounds<br \/>\nThere are 4 chairs.<br \/>\nDivide 28 by 4 to find the weight of each chair.<br \/>\n28\/4 = 7<br \/>\nTherefore each chair weighs 7 pounds.<\/p>\n<p>Question 2.<br \/>\nYou volunteer at a nursing home for 3 hours a day. You volunteered 6 hours last week and 12 hours this week. How many days did you volunteer?<br \/>\nAnswer: 6 days<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nYou volunteer at a nursing home for 3 hours a day.<br \/>\nYou volunteered 6 hours last week and 12 hours this week.<br \/>\n6 hours &#8211; 2 days<br \/>\n12 hours &#8211; 4 days<br \/>\n4 + 2 = 6 days<br \/>\nThus you volunteer for 6 days.<\/p>\n<p>Question 3.<br \/>\nWriting Write and solve your own word problem involving division.<br \/>\nAnswer:<br \/>\nYou work for 49 hours a week. How many hours do you work in a day?<br \/>\nExplanation:<br \/>\nYou work for 49 hours a week.<br \/>\nConvert from weeks to days<br \/>\n1 week = 7 days<br \/>\n49\/7 = 7 hours<br \/>\nThus you work 7 hours a day.<\/p>\n<p>Question 4.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou have 2 trays of \ufb02avored ice cubes. One tray has 16 ice cubes. The other tray has 12 ice cubes. Eight of the ice cubes are not completely frozen yet. You divide the frozen ice cubes equally into 5 glasses. How many ice cubes are in each glass?<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nYou have 2 trays of \ufb02avored ice cubes. One tray has 16 ice cubes.<br \/>\n16 \u00d7 2 = 32 ice cubes<br \/>\nThe other tray has 12 ice cubes. Eight of the ice cubes are not completely frozen yet.<br \/>\n12 &#8211; 8 = 4<br \/>\n32 + 4 = 36 ice cubes<br \/>\nYou divide the frozen ice cubes equally into 5 glasses.<br \/>\n36\/5 = 7(approx)<br \/>\nThus you divide 7 frozen ice cubes equally into 5 glasses.<\/p>\n<p>Question 5.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou have 2 bags of seashells. One bag has 13 seashells. The other bag has 25 seashells. You give6 seashells to your friend. You sort the rest of the seashells into 4 equal groups. How many seashells are in each group?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11486\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.9-8.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.9 8\" width=\"184\" height=\"138\" \/><br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nYou have 2 bags of seashells. One bag has 13 seashells.<br \/>\n2 \u00d7 13 = 26 seashells<br \/>\nThe other bag has 25 seashells. You give 6 seashells to your friend.<br \/>\n25 &#8211; 6 = 19<br \/>\nYou sort the rest of the seashells into 4 equal groups.<br \/>\n26 + 19 = 45 seashells<br \/>\n45\/4 = 11 (approx)<br \/>\nThus there are 11 seashells in 4 equal groups.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11487\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.9-9.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.9 9\" width=\"265\" height=\"162\" \/><br \/>\nAnswer:<br \/>\ni. 5 sides<br \/>\nii. 5 vertices<br \/>\niii. pentagon<\/p>\n<p>Explanation:<br \/>\nThe above figure consists of 5 sides and 5 vertices. The polygon with 5 sides is called a pentagon.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11488\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-4-Division-Facts-and-Strategies-4.9-10.png\" alt=\"Big Ideas Math Answer Key Grade 3 Chapter 4 Division Facts and Strategies 4.9 10\" width=\"276\" height=\"159\" \/><br \/>\nAnswer:<br \/>\ni. 4 sides<br \/>\nii. 4 vertices<br \/>\niii. Quadrilateral<\/p>\n<p>Explanation:<br \/>\nThe above figure consists of 4 sides and 4 vertices. The polygon with 4 sides is called a Quadrilateral.<\/p>\n<h3><a id=\"Division_Facts_and_Strategies_Performance_Task\"><\/a>Division Facts and Strategies Performance Task<\/h3>\n<p>You, your friend, and your cousin run for class president. Three teachers and 60 students are gathered in the gym for the election.<br \/>\nQuestion 1.<br \/>\nThere is one teacher in each row. Each row has the same number of students. Find the number of people sitting in each row.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11489\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-1.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 1\" width=\"142\" height=\"157\" \/><br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nYou, your friend, and your cousin run for class president.<br \/>\nThree teachers and 60 students are gathered in the gym for the election.<br \/>\nThere is one teacher in each row. Each row has the same number of students.<br \/>\n60\/3 = 20 students<br \/>\nThus 20 people are sitting in each row.<\/p>\n<p>Question 2.<br \/>\nSixty students vote in the election. Thirty students vote for you. Twenty students vote for your friend. Five students vote for your cousin.<br \/>\na.How many students still need to vote?<\/p>\n<p>Answer:<br \/>\nSixty students vote in the election. Thirty students vote for you.<br \/>\n60 &#8211; 30 = 30<br \/>\nTwenty students vote for your friend.<br \/>\n30 &#8211; 20 = 10<br \/>\nFive students vote for your cousin.<br \/>\n10 &#8211; 5 = 5<br \/>\nThus still 5 students need to vote.<\/p>\n<p>b.The remaining students all vote for your cousin. Complete the picture graph.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11490\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-2.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 2\" width=\"273\" height=\"186\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14845\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-2.jpg\" alt=\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-2\" width=\"273\" height=\"186\" \/><\/p>\n<p>Question 3.<br \/>\nAs class president, you raise $95 to buy new toys for the school playground. Each ball costs $8 and each flying disc costs $6. You want to buy some balls and 3 flying discs. How many balls can you buy? How much money do you have left?<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nAs class president, you raise $95 to buy new toys for the school playground.<br \/>\nEach ball costs $8 and each flying disc costs $6.<br \/>\nYou want to buy some balls and 3 flying discs.<br \/>\n3 \u00d7 $6 = $18<br \/>\n$95 &#8211; $18 = $77<br \/>\nWe need to how many balls can you buy for $77.<br \/>\n72\/8 = 9<br \/>\n77 &#8211; 72 = 5<br \/>\nThus $5 left.<\/p>\n<h3><a id=\"Division_Facts_and_Strategies_Activity\"><\/a>Division Facts and Strategies Activity<\/h3>\n<p><strong>Four in a Row Blastoff!<\/strong><br \/>\n<strong>Directions:<\/strong><br \/>\n1. Players take turns rolling the die.<br \/>\n2. On your turn, choose and solve any division expression in the row of your roll. If you find the correct answer, place a counter on the space.<br \/>\n3. The first player to create 4 counters in a row, horizontally, vertically, or diagonally, wins! A spaceship blasts off! Cross out one spaceship and play again until all spaceships have blasted off!<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11491\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-3.png\" alt=\"Big Ideas Math Answers 3rd Grade Chapter 4 Division Facts and Strategies 3\" width=\"695\" height=\"631\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-3.png 695w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-4-Division-Facts-and-Strategies-3-300x272.png 300w\" sizes=\"(max-width: 695px) 100vw, 695px\" \/><\/p>\n<p>Answer:<br \/>\nI choose 3, 9 \u00f7 3 = 3<br \/>\nI choose 4, 16 \u00f7 4 = 4<br \/>\nI choose 5, 25 \u00f7 5 = 5<br \/>\nI choose 6, 36 \u00f7 6 = 6<\/p>\n<h3><a id=\"Division_Facts_and_Strategies_Chapter_Practice\"><\/a>Division Facts and Strategies Chapter Practice<\/h3>\n<p><strong>4.1 Use Arrays to Divide<\/strong><\/p>\n<p>Question 1.<br \/>\nThere are 20 counters. The counters are in 4 equal rows. How many counters are in each row?<br \/>\n4 rows of ____<br \/>\n20 \u00f7 4 = _____<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nThere are 20 counters. The counters are in 4 equal rows.<br \/>\n20\/4 = 5<br \/>\nThus there are 4 rows of 5 counters<br \/>\n20 \u00f7 4 = 5<br \/>\nThus there are 5 counters in each row.<\/p>\n<p>Question 2.<br \/>\nYou have 32 counters. You arrange them with 8 counters in each row. How many rows of counters do you make?<br \/>\n____ rows of 8<br \/>\n32 \u00f7 8 = _____<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nYou have 32 counters. You arrange them with 8 counters in each row.<br \/>\n32\/8 = 4<br \/>\n4 rows of 8.<br \/>\n32 \u00f7 8 = 4<br \/>\nThus there are 4 rows of counters.<\/p>\n<p>Question 3.<br \/>\nPrecision<br \/>\nLabel the parts of the division problem using quotient, dividend, and divisor<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11492\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-3.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 3\" width=\"333\" height=\"95\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-3.png 333w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-3-300x86.png 300w\" sizes=\"(max-width: 333px) 100vw, 333px\" \/><br \/>\nAnswer:<br \/>\nThe label for the above problem is<br \/>\n21 is dividend<br \/>\n3 is quotient<br \/>\n7 is divisor<\/p>\n<p><strong>4.2 Relate Multiplication and Division<\/strong><\/p>\n<p><strong>Write the fact family for the numbers.<\/strong><br \/>\nQuestion 4.<br \/>\n1, 5, 5<br \/>\nAnswer:<br \/>\nThe fact family for the numbers is<br \/>\nMultiplication Equation:<br \/>\n1 \u00d7 5 = 5<br \/>\n5 \u00d7 1 = 5<br \/>\nDivision Equation:<br \/>\n5 \u00f7 5 = 1<br \/>\n5 \u00f7 1 = 5<\/p>\n<p>Question 5.<br \/>\n2, 7, 14<br \/>\nAnswer:<br \/>\nThe fact family for the numbers is<br \/>\nMultiplication Equation:<br \/>\n2 \u00d7 7 = 14<br \/>\n7 \u00d7 2 = 14<br \/>\nDivision Equation:<br \/>\n14 \u00f7 2 = 7<br \/>\n14 \u00ad\u00f7 7 = 2<\/p>\n<p>Question 6.<br \/>\n9, 5, 45<br \/>\nAnswer:<br \/>\nThe fact family for the numbers is<br \/>\nMultiplication Equation:<br \/>\n9 \u00d7 5 = 45<br \/>\n5 \u00d7 9 = 45<br \/>\nDivision Equation:<br \/>\n45 \u00f7 5 = 9<br \/>\n45 \u00f7 9 = 5<\/p>\n<p>Question 7.<br \/>\n8, 6, 48<br \/>\nAnswer:<br \/>\nThe fact family for the numbers is<br \/>\nMultiplication Equation:<br \/>\n8 \u00d7 6 = 48<br \/>\n6 \u00d7 8 = 48<br \/>\nDivision Equation:<br \/>\n48 \u00f7 6 = 8<br \/>\n48 \u00f7 8 = 6<\/p>\n<p><strong>4.3 Divide 2, 5, or 10<\/strong><\/p>\n<p><strong>Write the related multiplication fact. The find the quotient.<\/strong><br \/>\nQuestion 8.<br \/>\nFind 15 \u00f7 5<br \/>\n5 \u00d7 ____ = 15<br \/>\n15 \u00f7 5 = ____<br \/>\nAnswer:<br \/>\nLet the unknown number be x.<br \/>\n5 \u00d7 x = 15<br \/>\nx = 15\/5<br \/>\nx = 3<br \/>\n15 \u00f7 5 = 3<\/p>\n<p>Question 9.<br \/>\nFind 14 \u00f7 2<br \/>\n2 \u00d7 ____ = 14<br \/>\n14 \u00f7 2 = ____<br \/>\nAnswer:<br \/>\nLet the unknown number be x.<br \/>\n2 \u00d7 x = 14<br \/>\nx = 14\/2<br \/>\nx = 7<br \/>\n14 \u00f7 2 = 7<\/p>\n<p>Question 10.<br \/>\nFind 40 \u00f7 10<br \/>\n10 \u00d7 ____ = 40<br \/>\n40 \u00f7 10 = ____<br \/>\nAnswer:<br \/>\nLet the unknown number be x.<br \/>\n10 \u00d7 x = 40<br \/>\nx = 40\/10<br \/>\nx = 4<br \/>\n40 \u00f7 10 = 4<\/p>\n<p><strong>Find the quotient.<\/strong><br \/>\nQuestion 11.<br \/>\n60 \u00f7 10 = _____<br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 60 and 10.<br \/>\n60\/10 = 6<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 12.<br \/>\n20 \u00f7 5 = _____<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 20 and 5.<br \/>\n20\/5 = 4<br \/>\nThus the quotient is 4.<\/p>\n<p>Question 13.<br \/>\n20 \u00f7 2 = _____<br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 20 and 2.<br \/>\n20\/2 = 10<br \/>\nThus the quotient is 10.<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11493\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-14.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 14\" width=\"47\" height=\"63\" \/><br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 25 and 5.<br \/>\n25\/5 = 5<br \/>\nThus the quotient is 5.<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11494\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-15.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 15\" width=\"54\" height=\"67\" \/><br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 18 and 2.<br \/>\n18\/2 = 9<br \/>\nThus the quotient is 9.<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11495\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-16.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 16\" width=\"64\" height=\"69\" \/><\/p>\n<p>Answer: 3<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 30 and 10.<br \/>\n30\/10 = 3<br \/>\nThus the quotient is 3.<\/p>\n<p><strong>4.4 Divide by 3 or 4<\/strong><\/p>\n<p>Find the quotient.<br \/>\nQuestion 17.<br \/>\n18 \u00f7 3 = _____<br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 18 and 3.<br \/>\n18\/3 = 6<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 18.<br \/>\n40 \u00f7 4 = ____<br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 40 and 4.<br \/>\n40\/4 = 10<br \/>\nThus the quotient is 10.<\/p>\n<p>Question 19.<br \/>\n24 \u00f7 4 = _____<br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 24 and 4.<br \/>\n24\/4 = 6<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11496\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-20.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 20\" width=\"55\" height=\"71\" \/><br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 3 and 27.<br \/>\n27\/3 = 9<br \/>\nThus the quotient is 9.<\/p>\n<p>Question 21.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11497\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-21.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 21\" width=\"51\" height=\"70\" \/><br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 12 and 4.<br \/>\n12\/4 = 3<br \/>\nThus the quotient is 3.<\/p>\n<p>Question 22.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11498\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-22.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 22\" width=\"67\" height=\"73\" \/><br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 24 and 3.<br \/>\n24\/3 = 8<br \/>\nThus the quotient is 8.<\/p>\n<p>Question 23.<br \/>\n<strong>Structure<\/strong><br \/>\nWrite the division equation represented by the number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11499\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-23.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 23\" width=\"406\" height=\"95\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-23.png 406w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-23-300x70.png 300w\" sizes=\"(max-width: 406px) 100vw, 406px\" \/><br \/>\n____ \u00f7 ____ = ____<br \/>\nAnswer: 21 \u00f7 3 = 7<br \/>\nExplanation:<br \/>\nThe count starts from 0.<br \/>\nThe count jumps for every 3s.<br \/>\nThe division equation is 21 \u00f7 3 = 7<\/p>\n<p><strong>4.5 Divide by 6 or 7<\/strong><\/p>\n<p><strong>Find the quotient<\/strong><br \/>\nQuestion 24.<br \/>\n42 \u00f7 6 = _____<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 42 and 6.<br \/>\n42\/6 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p>Question 25.<br \/>\n54 \u00f7 6 = _____<br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 54 and 6.<br \/>\n54\/6 = 9<br \/>\nThus the quotient is 9.<\/p>\n<p>Question 26.<br \/>\n28 \u00f7 7 = ____<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 28 and 7.<br \/>\n28\/7 = 4<br \/>\nThus the quotient is 4.<\/p>\n<p>Question 27.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11500\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-27.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 27\" width=\"57\" height=\"65\" \/><br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 21 and 7.<br \/>\n21\/7 = 3<br \/>\nThus the quotient is 3.<\/p>\n<p>Question 28.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11501\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-28.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 28\" width=\"59\" height=\"75\" \/><br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 7 and 42.<br \/>\n42\/7 = 6<br \/>\nThus the quotient is 6.<\/p>\n<p>Question 29<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11502\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-29.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 29\" width=\"53\" height=\"72\" \/><br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 30 and 6.<br \/>\n30\/6 = 5<br \/>\nThus the quotient is 5.<\/p>\n<p><strong>Find the missing divisor<\/strong><br \/>\nQuestion 30.<br \/>\n18 \u00f7 ____ = 6<br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor be u.<br \/>\n18 \u00f7 u = 6<br \/>\n18\/u = 6<br \/>\n18 = 6 \u00d7 u<br \/>\nu = 18\/6<br \/>\nu = 3<br \/>\nThus the missing divisor is 3.<\/p>\n<p>Question 31.<br \/>\n35 \u00f7 ____ = 7<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor be v.<br \/>\n35 \u00f7 v = 7<br \/>\n35\/v = 7<br \/>\n35 = 7 \u00d7 v<br \/>\nv = 35\/7<br \/>\nv = 5<br \/>\nThus the missing divisor is 5.<\/p>\n<p>Question 32.<br \/>\n36 \u00f7 ____ = 6<br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nLet the missing divisor be w.<br \/>\n36 \u00f7 w = 6<br \/>\n36\/w = 6<br \/>\n36 = 6 \u00d7 w<br \/>\nw = 36\/6<br \/>\nw = 6<br \/>\nThus the missing divisor is 6.<\/p>\n<p><strong>4.6 Divide by 8 or 9<\/strong><\/p>\n<p><strong>Find the quotient<\/strong><br \/>\nQuestion 33.<br \/>\n36 \u00f7 9 = _____<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 36 and 9<br \/>\n36\/9 = 4<br \/>\nThus the quotient is 4.<\/p>\n<p>Question 34.<br \/>\n64 \u00f7 8 = ____<br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 8 and 64<br \/>\n64\/8 = 8<br \/>\nThus the quotient is 8.<\/p>\n<p>Question 35.<br \/>\n90 \u00f7 9 = _____<br \/>\nAnswer: 10<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 90 and 9.<br \/>\n90\/9 = 10<br \/>\nThus the quotient is 10.<\/p>\n<p>Question 36.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11503\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-36.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 36\" width=\"52\" height=\"74\" \/><br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 32 and 8.<br \/>\n32\/8 = 4<br \/>\nThus the quotient is 4.<\/p>\n<p>Question 37.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11504\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-37.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 37\" width=\"66\" height=\"77\" \/><br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 45 and 9.<br \/>\n45\/9 = 5<br \/>\nThus the quotient is 5.<\/p>\n<p>Question 38.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11505\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-38.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 38\" width=\"57\" height=\"69\" \/><br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 56 and 8<br \/>\n56\/8 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p><strong>Compare<\/strong><br \/>\nQuestion 39.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11506\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-39.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 39\" width=\"156\" height=\"44\" \/><br \/>\nAnswer: &gt;<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers.<br \/>\n63 \u00f7 9 = 7<br \/>\n48 \u00f7 8 = 6<br \/>\n7 &gt; 6<br \/>\nSo, 63 \u00f7 9 &gt; 48 \u00f7 8<\/p>\n<p>Question 40.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11507\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-40.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 40\" width=\"163\" height=\"52\" \/><br \/>\nAnswer: =<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers<br \/>\n32 \u00f7 8 = 4<br \/>\n36 \u00f7 9 = 4<br \/>\n4 = 4<br \/>\nSo, 32 \u00f7 8 = 36 \u00f7 9<\/p>\n<p>Question 41.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11508\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-41.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 41\" width=\"159\" height=\"53\" \/><br \/>\nAnswer: &lt;<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers<br \/>\n54 \u00f7 9 = 6<br \/>\n80 \u00f7 8 = 10<br \/>\n6 &lt; 10<br \/>\nSo, 54 \u00f7 9 &lt; 80 \u00f7 10<\/p>\n<p>Question 42.<br \/>\nA crayon box has 48 crayons. There are 8 crayons in each row. How many rows of crayons are there?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11509\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-42.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 42\" width=\"208\" height=\"183\" \/><br \/>\nAnswer: 6<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nA crayon box has 48 crayons. There are 8 crayons in each row.<br \/>\n48\/8 = 6<br \/>\nThus there are 6 rows of crayons.<\/p>\n<p><strong>4.7 Divide with 0 or 1<\/strong><\/p>\n<p><strong>Find the quotient<\/strong><br \/>\nQuestion 43.<br \/>\n13 \u00f7 13 = _____<br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 13 and 13.<br \/>\n13\/13 = 1<br \/>\nThus the quotient is 1.<\/p>\n<p>Question 44.<br \/>\n0 \u00f7 9 = _____<br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 0 and 9<br \/>\nAny number divided by 0 will be always 0.<br \/>\n0\/9 = 0<br \/>\nThus the quotient is 0.<\/p>\n<p>Question 45.<br \/>\n3 \u00f7 1 = _____<br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 3 and 1.<br \/>\n3\/1 = 3<br \/>\nThus the quotient is 3.<\/p>\n<p>Question 46.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11510\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-46.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 46\" width=\"57\" height=\"62\" \/><br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 1 and 2.<br \/>\n2\/1 = 2<br \/>\nThus the quotient is 2.<\/p>\n<p>Question 47.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11511\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-47.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 47\" width=\"60\" height=\"66\" \/><br \/>\nAnswer: 0<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 0 and 5.<br \/>\nAny number divided by 0 will be always 0.<br \/>\nThus the quotient is 0.<\/p>\n<p>Question 48.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11512\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-48.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 48\" width=\"70\" height=\"79\" \/><br \/>\nAnswer: 1<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 10 and 10.<br \/>\n10\/10 = 1<br \/>\nThus the quotient is 1.<\/p>\n<p>Question 49.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWhich has the greatest quotient?<br \/>\n15 \u00f7 15<br \/>\n0 \u00f7 10<br \/>\n6 \u00f7 1<br \/>\n8 \u00f7 1<br \/>\nAnswer: 8 \u00f7 1<\/p>\n<p>Explanation:<br \/>\nCheck all the quotient<br \/>\n15 \u00f7 15 = 1<br \/>\n0 \u00f7 10 = 0<br \/>\n6 \u00f7 1 = 6<br \/>\n8 \u00f7 1 = 8<br \/>\nThus the correct answer is option D.<\/p>\n<p><strong>4.8 Practice Division Strategies<\/strong><\/p>\n<p><strong>Use any Strategy to find the quotient<\/strong><br \/>\nQuestion 50.<br \/>\n16 \u00f7 4 = _____<br \/>\nAnswer: 4<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 4 and 16.<br \/>\n16\/4 = 4<br \/>\nThus the quotient is 4.<\/p>\n<p>Question 51.<br \/>\n72 \u00f7 9 = ____<br \/>\nAnswer: 8<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 9 and 72.<br \/>\n72\/9 = 8<br \/>\nThus the quotient is 8.<\/p>\n<p>Question 52.<br \/>\n20 \u00f7 10 = _____<br \/>\nAnswer: 2<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 20 and 10.<br \/>\n20\/10 = 2<br \/>\nThus the quotient is 2.<\/p>\n<p>Question 53.<br \/>\nDivide 18 by 6.<br \/>\nAnswer: 3<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 18 and 6.<br \/>\n18\/6 = 3<br \/>\nThus the quotient is 3.<\/p>\n<p>Question 54.<br \/>\nDivide 49 by 7.<br \/>\nAnswer: 7<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 49 and 7.<br \/>\n49\/7 = 7<br \/>\nThus the quotient is 7.<\/p>\n<p>Question 55.<br \/>\nDivide 30 by 6.<br \/>\nAnswer: 5<\/p>\n<p>Explanation:<br \/>\nDivide the two numbers 30 and 6.<br \/>\n30\/6 = 5<br \/>\nThus the quotient is 5.<\/p>\n<p><strong>4.9 Problem Solving: Division<\/strong><\/p>\n<p>Question 56.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA group of 13 servicemen and 11 servicewomen are being honored at an event. They stand in 3 equal rows. How many servicemen and servicewomen are in each row?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11513\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-4-Division-Facts-and-Strategies-chp-56.png\" alt=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies chp 56\" width=\"205\" height=\"151\" \/><br \/>\nAnswer: 9<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nA group of 13 servicemen and 11 servicewomen are being honored at an event.<br \/>\n13 + 14 = 27<br \/>\nThey stand in 3 equal rows.<br \/>\n27\/3 = 9<br \/>\nThus there are 9 servicemen and servicewomen in each row.<\/p>\n<h3><a id=\"Division_Facts_and_Strategies_Cumulative_Practice\"><\/a>Division Facts and Strategies Cumulative Practice<\/h3>\n<p>Question 1.<br \/>\nWhich expression is the same as 6 \u00d7 3?<br \/>\nA. 3 \u00d7 6<br \/>\nB. 3 + 3 + 3 + 3 + 3 + 3<br \/>\nC. 6 + 6 + 6<br \/>\nD. 6 \u00d7 6 \u00d7 6<br \/>\nAnswer: A. 3 \u00d7 6<\/p>\n<p>Explanation:<br \/>\nGiven the expression 6 \u00d7 3<br \/>\nBy using the multiplication equation<br \/>\nwe can say that 3 \u00d7 6 is the same as 6 \u00d7 3<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 2.<br \/>\nUse the clues to find the number.<br \/>\n\u2022 The number is more than 10.<br \/>\n\u2022 The number is less than 20.<br \/>\n\u2022 When the number is divided by 3, the quotient is even.<br \/>\n\u2022 When the number is divided by 4, the quotient is odd.<br \/>\nWhat is the number?<br \/>\nA. 15<br \/>\nB. 12<br \/>\nC. 24<br \/>\nD. 16<br \/>\nAnswer: B. 12<\/p>\n<p>Explanation:<br \/>\nLet the number be 12<br \/>\n12 \u00f7 3 = 4 (even)<br \/>\n12 \u00f7 4 = 3 (odd)<br \/>\nThus the correct answer is option B.<\/p>\n<p>Question 3.<br \/>\nWhich expression is equal to 6 \u00d7 7?<br \/>\nA. (7 \u00d7 8) &#8211; 2<br \/>\nB. (5 \u00d7 7) + (1 \u00d7 7)<br \/>\nC. (5 \u00d7 1) + (5 \u00d7 2)<br \/>\nD. (5 \u00d7 1) \u00d7 7<br \/>\nAnswer: B. (5 \u00d7 7) + (1 \u00d7 7)<\/p>\n<p>Explanation:<br \/>\nA. (7 \u00d7 8) &#8211; 2<br \/>\n56 &#8211; 2 = 54<br \/>\nB. (5 \u00d7 7) + (1 \u00d7 7)<br \/>\n35 + 7 = 42<br \/>\nC. (5 \u00d7 1) + (5 \u00d7 2)<br \/>\n5 + 10 = 15<br \/>\nD. (5 \u00d7 1) \u00d7 7<br \/>\n5 \u00d7 7 = 35<br \/>\n6 \u00d7 7 = 42<br \/>\nThus the correct answer is option B.<\/p>\n<p>Question 4.<br \/>\nWhich number makes the statement true?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11514\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-4.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies cp 4\" width=\"148\" height=\"55\" \/><br \/>\nA. 4<br \/>\nB. 8<br \/>\nC. 16<br \/>\nD. 2<br \/>\nAnswer: A. 4<\/p>\n<p>Explanation:<br \/>\n2 \u00d7 4 = x \u00d7 2<br \/>\n8 = 2x<br \/>\nx = 8\/2<br \/>\nx = 4<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 5.<br \/>\nWhich equation is true?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11515\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-5.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies cp 5\" width=\"574\" height=\"106\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-5.png 574w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-5-300x55.png 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><br \/>\nAnswer: C<\/p>\n<p>Explanation:<br \/>\nA. (5 \u00d7 4) \u00d7 1 = (5 \u00d7 4) + 1<br \/>\n20 \u2260 21<br \/>\nB. (5 \u00d7 4) + 1 = (5 \u00d7 4) \u00d7 1<br \/>\n21 \u2260 20<br \/>\nC. (5 \u00d7 4) \u00d7 1 = (5 \u00d7 4) \u00d7 1<br \/>\n20 = 20<br \/>\nD. (5 \u00d7 4) \u00d7 1 = 5 + (4 \u00d7 1)<br \/>\n20 \u2260 9<br \/>\nThus the correct answer is option C.<\/p>\n<p>Question 6.<br \/>\nYou earn 10 points for each level you complete in a video game. When you have to restart a level, you lose 2 points. You complete 9 levels but have to restart 6 levels. How many points do you have?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11516\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-6.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies cp 6\" width=\"158\" height=\"161\" \/><br \/>\nA. 78 points<br \/>\nB. 102 points<br \/>\nC. 90 points<br \/>\nD. 42 points<br \/>\nAnswer: 78 points<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nYou earn 10 points for each level you complete in a video game.<br \/>\nWhen you have to restart a level, you lose 2 points.<br \/>\nYou complete 9 levels but have to restart 6 levels.<br \/>\n9 \u00d7 10 = 90 points<br \/>\n6 \u00d7 2 = 12 points<br \/>\n90 &#8211; 12 = 78 points<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 7.<br \/>\nThe table shows the numbers of items at the finish line of a race.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11517\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-7.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies cp 7\" width=\"450\" height=\"170\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-7.png 450w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-7-300x113.png 300w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><br \/>\nPart A How many medals are there?<\/p>\n<p>Answer:<br \/>\nMedals:<br \/>\nNumber of packages = 7<br \/>\nNumber in each package = 9<br \/>\n7 \u00d7 9 = 63 medals<\/p>\n<p>PartB Sixty students are running in the race. Is there enough of each item for all of the students? Explain.<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nSixty students are running in the race.<br \/>\nWater bottles:<br \/>\nNumber of packages = 9<br \/>\nNumber in each package = 8<br \/>\n9 \u00d7 8 = 72<br \/>\nMedals:<br \/>\nNumber of packages = 7<br \/>\nNumber in each package = 9<br \/>\n7 \u00d7 9 = 63 medals<br \/>\nBananas:<br \/>\nNumber of packages = 9<br \/>\nNumber in each package = 6<br \/>\n9 \u00d7 6 = 54<br \/>\nThus there are not enough bananas for all 60 students.<\/p>\n<p>Question 8.<br \/>\nWhich numbers are multiples of 2, 5, and 10?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11518\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-8.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies cp 8\" width=\"397\" height=\"94\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-8.png 397w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-8-300x71.png 300w\" sizes=\"(max-width: 397px) 100vw, 397px\" \/><br \/>\nAnswer: 20<\/p>\n<p>Explanation:<br \/>\nThe fact family for 2, 5 and 10.<br \/>\n2 \u00d7 10 = 20<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 9.<br \/>\nNewton and Descartes share 18 toys equally. Which equation shows how many toys each has?<br \/>\nA. 18 \u00f7 2 = 9<br \/>\nB. 18 &#8211; 2 = 16<br \/>\nC. 18 \u00d7 2 = 36<br \/>\nD. 18 \u00f7 1 = 18<br \/>\nAnswer: 18 \u00f7 2 = 9<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nNewton and Descartes share 18 toys equally.<br \/>\n18\/2 = 9<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 10.<br \/>\nWhich multiplication fact can Newton use to check his answer?<br \/>\n72 \u00f7 8 = 9<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11519\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-10.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies cp 10\" width=\"462\" height=\"96\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-10.png 462w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-10-300x62.png 300w\" sizes=\"(max-width: 462px) 100vw, 462px\" \/><br \/>\nAnswer: 9 \u00d7 8<\/p>\n<p>Explanation:<br \/>\n72 \u00f7 8 = 9<br \/>\nThe multiplication fact for 9, 8 and 72 is<br \/>\n9 \u00d7 8 = 72<br \/>\nThus the correct answer is option D.<\/p>\n<p>Question 11.<br \/>\nThirty dollars is divided evenly among 6 children. How much money (in dollars) does each child receive?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11520\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-11.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies cp 11\" width=\"85\" height=\"65\" \/><br \/>\nAnswer:<br \/>\nGiven,<br \/>\nThirty dollars is divided evenly among 6 children<br \/>\n30\/6 = 5<br \/>\nThus each child receives 5 dollars.<\/p>\n<p>Question 12.<br \/>\nWhich expressions have a product of 16?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11521\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-12.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies cp 12\" width=\"419\" height=\"84\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-12.png 419w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-12-300x60.png 300w\" sizes=\"(max-width: 419px) 100vw, 419px\" \/><br \/>\nAnswer: A. 4 \u00d7 4<\/p>\n<p>Explanation:<br \/>\nThe product of 16 is 4 \u00d7 4.<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 13.<br \/>\nWhich equation shows the Multiplication Property of Zero?<br \/>\nA. 8 + 0 = 8<br \/>\nB. 8\u00a0 &#8211; 0 = 8<br \/>\nC. 8 \u00d7 1 = 8<br \/>\nD. 8 \u00d7 0 = 0<br \/>\nAnswer: D. 8 \u00d7 0 = 0<\/p>\n<p>Explanation:<br \/>\nAny number multiplied by 0 is always 0.|<br \/>\n8 \u00d7 0 = 0<br \/>\nThus the correct answer is option D.<\/p>\n<p>Question 14.<br \/>\nOne ticket to an amusement park costs $8. How much does it cost for a family of 4?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11522\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-14.1.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies cp 14.1\" width=\"193\" height=\"157\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11523\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-14.2.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies cp 14.2\" width=\"304\" height=\"90\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-14.2.png 304w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-14.2-300x89.png 300w\" sizes=\"(max-width: 304px) 100vw, 304px\" \/><br \/>\nAnswer: A. $32<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nOne ticket to an amusement park costs $8.<br \/>\n8 \u00d7 4 = $32<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 15.<br \/>\nWhich expression is represented by this number line?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11524\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-15.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies cp 15\" width=\"485\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-15.png 485w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-15-300x57.png 300w\" sizes=\"(max-width: 485px) 100vw, 485px\" \/><br \/>\nA. 21 + 3<br \/>\nB. 3 \u00d7 7<br \/>\nC. 21 &#8211; 3<br \/>\nD. 7 + 3<br \/>\nAnswer: B. 3 \u00d7 7<\/p>\n<p>Explanation:<br \/>\nThe count starts at 0.<br \/>\nIt takes 3 jumps of 7.<br \/>\n3 \u00d7 7 = 21<br \/>\nThus the correct answer is option B.<\/p>\n<p>Question 16.<br \/>\nWhich equations are in the fact family for 2, 10, and 20?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11525\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-16.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies cp 16\" width=\"504\" height=\"142\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-16.png 504w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-cp-16-300x85.png 300w\" sizes=\"(max-width: 504px) 100vw, 504px\" \/><br \/>\nAnswer: A, B, D, E<\/p>\n<p>Explanation:<br \/>\nThe fact family for 2, 10, 20 is:<br \/>\n2 \u00d7 10 = 20<br \/>\n10 \u00d7 2 = 20<br \/>\n20 \u00f7 2 = 10<br \/>\n20 \u00f7 10 = 2<br \/>\nThus the correct answer is option A, B, D, E.<\/p>\n<h3><a id=\"Division_Facts_and_Strategies_STEAM_Performance_Task\"><\/a>Division Facts and Strategies STEAM Performance Task<\/h3>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-11526\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-1.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies sp 1\" width=\"312\" height=\"124\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-1.png 312w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-1-300x119.png 300w\" sizes=\"(max-width: 312px) 100vw, 312px\" \/><\/p>\n<p>Dogs grow just like humans. They start as puppies, become adults, and then enter old age. But dogs age faster than humans. In general, to find the age of a small dog in dog years, multiply its age in human years by 5. To find the age of a large dog in dog years, multiply its age in human years by 7.<\/p>\n<p>Question 1.<br \/>\nA small dog and a large dog are both 9 years old in human years. How old is each dog in dog years?<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nA small dog and a large dog are both 9 years old in human years.<br \/>\nTo find the age of a small dog in dog years, multiply its age in human years by 5.<br \/>\n5 \u00d7 9 = 45 years<br \/>\nThus the age of a small dog is 45 years<br \/>\nTo find the age of a large dog in dog years, multiply its age in human years by 7.<br \/>\n9 \u00d7 7 = 63 years<br \/>\nThus the age of a large dog is 63 years.<\/p>\n<p>Question 2.<br \/>\nThe table shows the usual life spans of 6 dog breeds in dog years. Find each life span in human years. Organize the data in a bar graph.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11527\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-2.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies sp 2\" width=\"372\" height=\"175\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-2.png 372w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-2-300x141.png 300w\" sizes=\"(max-width: 372px) 100vw, 372px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11528\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-3.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies sp 3\" width=\"576\" height=\"264\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-3.png 576w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-3-300x138.png 300w\" sizes=\"(max-width: 576px) 100vw, 576px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-14598\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-3-300x138.jpg\" alt=\"Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-3\" width=\"300\" height=\"138\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-3-300x138.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-3.jpg 576w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 3.<br \/>\nWrite and answer a question about your graph.<br \/>\nAnswer:<br \/>\nDraw the graph for the above table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-14599\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Bigideas-math-answers-grade-3-chapter-4-division-facts-and-strategies-img_6-300x190.jpg\" alt=\"Bigideas math answers grade 3 chapter 4 division facts and strategies img_6\" width=\"300\" height=\"190\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Bigideas-math-answers-grade-3-chapter-4-division-facts-and-strategies-img_6-300x190.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Bigideas-math-answers-grade-3-chapter-4-division-facts-and-strategies-img_6.jpg 367w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 4.<br \/>\nCats also age faster than humans. The table shows the age of a cat for each human year.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11529\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-4.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies sp 4\" width=\"250\" height=\"231\" \/><br \/>\na. A cat is 6 years old in human years. If the pattern in the table continues, how old is the cat in cat years?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11530\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-5.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies sp 5\" width=\"142\" height=\"162\" \/><\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA cat is 6 years old in human years.<br \/>\nBy using the above table we can find the age of the cat in cat years.<br \/>\n6 years &#8211; 40 years<\/p>\n<p>b. A cat is 10 years old in human years. How old is the cat in cat years?<\/p>\n<p>Answer:<br \/>\nGiven that,<br \/>\nA cat is 10 years old in human years.<br \/>\nBy using the above table we can find the age of the cat in cat years.<br \/>\n1 year (human) = 4 years of cat<br \/>\n10 years = 56 years<br \/>\nThus the age of cat in cat years is 56 years.<\/p>\n<p>c. A small dog, a large dog, and a cat are each 6 years old (in human years). Order the animals by their ages (in animal years) from least to greatest.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11531\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-6.png\" alt=\"Big Ideas Math Solutions Grade 3 Chapter 4 Division Facts and Strategies sp 6\" width=\"167\" height=\"167\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-6.png 167w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-4-Division-Facts-and-Strategies-sp-6-150x150.png 150w\" sizes=\"(max-width: 167px) 100vw, 167px\" \/><br \/>\nAnswer:<br \/>\nA small dog, a large dog, and a cat are each 6 years old (in human years).<br \/>\nSmall dog in dog years, multiply its age in human years by 5.<br \/>\n6 \u00d7 5 = 30 years<br \/>\nTo find the age of a large dog in dog years, multiply its age in human years by 7.<br \/>\n7 \u00d7 7 = 49 years<br \/>\nA cat is 6 years old in human years.<br \/>\n6 years &#8211; 40 years<br \/>\nNow arrange them from least to the greatest.<br \/>\nsmall dog, cat, and a large dog.<\/p>\n<p>Question 5.<br \/>\nUse the Internet or another resource to answer each question.<br \/>\na. What is another dog breed that is not listed in the table?<\/p>\n<p>Answer: Bull Dog<\/p>\n<p>b. About how long, how tall, and how heavy is one of these dogs?<br \/>\nLength: _____ inches<br \/>\nHeight: _____ inches<br \/>\nWeight: ______ pounds<\/p>\n<p>Answer:<br \/>\nThe length, height, and weight of the bulldog is given below<br \/>\nlength &#8211; 12 to 15 inches<br \/>\nheight &#8211; 12 to 15 inches<br \/>\nweight &#8211; 40 to 43 pounds<\/p>\n<p>c. What is one interesting fact about this dog breed?<\/p>\n<p>Answer:<br \/>\nThe interesting fact about bulldog is<br \/>\n1. These are independent<br \/>\n2. The dogs were bred for their wrinkles.<\/p>\n<p>d. About how long would you expect this breed to live?<br \/>\nAnswer: The life span of the bulldog is 8 to 10 years.<\/p>\n<p><em>Conclusion:<\/em><\/p>\n<p>I hope that the Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies Solution Key is useful for the students who are preparing for the exams. You can get the free download link of Big Ideas Math Book Grade 3 Chapter 4 Division Facts and Strategies Answer Key PDF. Stay in touch with us to find the solutions for other chapters of 3rd grade.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Big Ideas Math Grade 3 Chapter 4 Division Facts and Strategies Solutions in the pdf format is provided here. Students have to be perfect in the basics of mathematics. So, everyone must download free Big ideas Math Book Grade 3 Chapter 4 Division Facts and Strategies Answer Key PDFand start their preparation. This handy and &#8230; <a title=\"Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-3-chapter-4\/\" aria-label=\"More on Big Ideas Math Answers Grade 3 Chapter 4 Division Facts and Strategies\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":89603,"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\/2021\/04\/Big-Ideas-Math-Answers-Grade-3-Chapter-4.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/11314"}],"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\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=11314"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/11314\/revisions"}],"predecessor-version":[{"id":90350,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/11314\/revisions\/90350"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/89603"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=11314"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=11314"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=11314"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}