{"id":90052,"date":"2022-03-30T10:57:09","date_gmt":"2022-03-30T05:27:09","guid":{"rendered":"https:\/\/bigideasmathanswers.com\/?p=90052"},"modified":"2022-04-07T14:40:56","modified_gmt":"2022-04-07T09:10:56","slug":"envision-math-common-core-grade-3-answer-key-topic-5","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/envision-math-common-core-grade-3-answer-key-topic-5\/","title":{"rendered":"enVision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100"},"content":{"rendered":"<p>Practice with the help of <a href=\"https:\/\/bigideasmathanswers.com\/envision-math-common-core-grade-3-answer-key\/\">enVision Math Common Core Grade 3 Answer Key<\/a> <strong>Topic 5 Fluently Multiply and Divide within 100<\/strong> regularly and improve your accuracy in solving questions.<\/p>\n<h2>enVision Math Common Core 3rd Grade Answers Key Topic 5 Fluently Multiply and Divide within 100<\/h2>\n<p><strong>Essential Question:<\/strong><br \/>\nWhat are strategies to solve multiplication and division facts?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6859\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-1.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 1\" width=\"707\" height=\"506\" \/><\/p>\n<p><strong>enVision STEM Project: Weather Information<\/strong><br \/>\nDo Research Use the Internet or other sources to find the weather in different places on Earth. Find the weather at different times of day. Write down the temperature for each place. Also write down any conditions such as rain or snow.<\/p>\n<p>Journal: Write a Report Include what you found. Also in your report:<\/p>\n<ul>\n<li>Tell how many places you checked.<\/li>\n<li>Tell how many times you checked the weather in one day.<\/li>\n<li>Write a multiplication or division story using your information. Then find an answer for your story.<\/li>\n<\/ul>\n<p><strong>Review What You Know<\/strong><\/p>\n<p><strong>Vocabulary<\/strong><br \/>\nChoose the best term from the box. Write it on the blank.<\/p>\n<ul>\n<li>dividend<\/li>\n<li>divisor<\/li>\n<li>product<\/li>\n<li>quotient<\/li>\n<li>factor<\/li>\n<\/ul>\n<p>Question 1.<br \/>\nThe answer to a division problem is the _________.<br \/>\nAnswer:<br \/>\nThe answer to a division problem is the ___<span style=\"letter-spacing: 0px;\">quotient___.<\/span><\/p>\n<p>Explanation:<br \/>\nThe answer to a division problem is the <span style=\"letter-spacing: 0px;\">quotient.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 2.<br \/>\nA ________ is the answer to a multiplication problem.<br \/>\nAnswer:<br \/>\nA _product_______ is the answer to a multiplication problem.<\/p>\n<p>Explanation:<br \/>\nA product is the answer to a multiplication problem.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 3.<br \/>\nThe _________ is the number in a division problem that is divided into equal groups.<br \/>\nAnswer:<br \/>\nThe __dividend_______ is the number in a division problem that is divided into equal groups.<\/p>\n<p>Explanation:<br \/>\nThe dividend is the number in a division problem that is divided into equal groups.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 4.<br \/>\nMultiply a factor by a ___________ to solve a multiplication problem.<br \/>\nAnswer:<br \/>\nMultiply a factor by a ____factor_______ to solve a multiplication problem.<\/p>\n<p>Explanation:<br \/>\nMultiply a factor by a factor to solve a multiplication problem.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Multiplication<\/strong><br \/>\nQuestion 5.<br \/>\n6 \u00d7 2 = _______<br \/>\nAnswer:<br \/>\n6 \u00d7 2 = ___12____.<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 2 = 12.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 6.<br \/>\n5 \u00d7 1 = _________<br \/>\nAnswer:<br \/>\n5 \u00d7 1 = ___5______.<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 1 = 5.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 7.<br \/>\n4 \u00d7 10 = ________<br \/>\nAnswer:<br \/>\n4 \u00d7 10 = __40______.<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 10 = 40.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 8.<br \/>\n7 \u00d7 5 = _______<br \/>\nAnswer:<br \/>\n7 \u00d7 5 = ___35____.<\/p>\n<p>Explanation:<br \/>\n7 \u00d7 5 = 35.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 9.<br \/>\n4 \u00d7 4 = _______<br \/>\nAnswer:<br \/>\n4 \u00d7 4 = __16_____.<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 4 = 16.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 10.<br \/>\n9 \u00d7 3 = _______<br \/>\nAnswer:<br \/>\n9 \u00d7 3 = __27_____.<\/p>\n<p>Explanation:<br \/>\n9 \u00d7 3 = 27.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 11.<br \/>\nThe oranges in a store are in 7 rows and 8 columns. How many oranges are there?<br \/>\nAnswer:<br \/>\nTotal number of oranges\u00a0 in all = 56.<\/p>\n<p>Explanation:<br \/>\nNumber of rows of oranges = 7.<br \/>\nNumber of columns of oranges = 8.<br \/>\nTotal number of oranges\u00a0 in all = Number of rows of oranges\u00a0 \u00d7 Number of columns of oranges<br \/>\n= 7 \u00d7 8<br \/>\n= 56.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Division<br \/>\n<\/strong>Question 12.<br \/>\n60 \u00f7 6 = ______<br \/>\nAnswer:<br \/>\n60 \u00f7 6 = _10_____.<\/p>\n<p>Explanation:<br \/>\n60 \u00f7 6 = 10.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 13.<br \/>\n25 \u00f7 5 = _______<br \/>\nAnswer:<br \/>\n25 \u00f7 5 = __5_____.<\/p>\n<p>Explanation:<br \/>\n25 \u00f7 5 = 5.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 14.<br \/>\n12 \u00f7 3 = _______<br \/>\nAnswer:<br \/>\n12 \u00f7 3 = ___4____.<\/p>\n<p>Explanation:<br \/>\n12 \u00f7 3 = 4.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 15.<br \/>\n30 \u00f7 6 = _______<br \/>\nAnswer:<br \/>\n30 \u00f7 6 = __6_____.<\/p>\n<p>Explanation:<br \/>\n30 \u00f7 6 = 6.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 16.<br \/>\n14 \u00f7 2 = _______<br \/>\nAnswer:<br \/>\n14 \u00f7 2 = ___7____.<\/p>\n<p>Explanation:<br \/>\n14 \u00f7 2 = 7.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 17.<br \/>\n9 \u00f7 3 = _______<br \/>\nAnswer:<br \/>\n9 \u00f7 3 = ___3____.<\/p>\n<p>Explanation:<br \/>\n9 \u00f7 3 = 3.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 18.<br \/>\nIf 28 stamps are arranged into an array with 4 columns, how many rows are there?<br \/>\nAnswer:<br \/>\nNumber of rows of stamps arranged in array = 7.<\/p>\n<p>Explanation:<br \/>\nTotal number of stamps arranged in array = 28.<br \/>\nNumber of columns of stamps arranged in array = 4.<br \/>\nNumber of rows of stamps arranged in array = Total number of stamps arranged in array \u00f7 Number of columns of stamps arranged in array<br \/>\n= 28 \u00f7 4<br \/>\n= 7.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>The Distributive Property<br \/>\n<\/strong>Question 19.<br \/>\nExplain how to use 2s facts to find 4 \u00d7 9.<br \/>\nAnswer:<br \/>\n4 \u00d7 9 = (2 \u00d7 9) + (2 \u00d7 9) = 36.<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 9 = (2 \u00d7 9) + (2 \u00d7 9)<br \/>\n4 \u00d7 9 = 18 + 18<br \/>\n4 \u00d7 9 = 36.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Pick a Project<\/strong><\/p>\n<p>PROJECT 5A<br \/>\nHow many books are in a library?<br \/>\nProject: Design a Library<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6860\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-2.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 2\" width=\"463\" height=\"282\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16935\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-Pick-a-Project-PROJECT-5A.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-Pick a Project-PROJECT 5A\" width=\"547\" height=\"320\" \/><\/p>\n<p>Explanation:<br \/>\nThe word &#8220;library&#8221; seems to be used in so many different aspects now, from the brick-and-mortar public library to the digital library.\u00a0Public libraries\u2014and indeed, all libraries&#8211;are changing and dynamic places where librarians help people find the best source of information whether it&#8217;s a\u00a0 book, \u00a0a web site, or database entry.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>PROJECT 5B<br \/>\nHow would you use number cubes?<br \/>\nProject: Make a Multiplication Game<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6861\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-3.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 3\" width=\"459\" height=\"297\" \/><\/p>\n<p>Answer:<br \/>\nPlace each token on the &#8220;Start&#8221; space. Have one student roll the dice, then move his token the same number of places he rolled. Have the student multiply the number on the game space with the number shown on the dice. If the student answers the multiplication problem correctly, he earns a point. If he answers incorrectly, the next player can steal the point by answering the problem.<\/p>\n<p>Explanation:<br \/>\nWhen you multiply a whole number (not a fraction) by itself, and then by itself again the result is a\u00a0cube number.<br \/>\nFor example\u00a03 x 3 x 3 = 27.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>PROJECT 5C<br \/>\nWould you rather ride a bike or a &#8220;trike&#8221;?<br \/>\nProject: Create a Bike Chart<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6862\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-4.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 4\" width=\"466\" height=\"295\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16936\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-Pick-a-Project-PROJECT-5C.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-Pick a Project-PROJECT 5C\" width=\"399\" height=\"672\" \/><\/p>\n<p>Explanation:<br \/>\nCycle sport is competitive physical activity using\u00a0bicycles. There are several categories of\u00a0bicycle racing\u00a0including road\u00a0bicycle racing, cyclo-cross, mountain\u00a0bike racing, track\u00a0cycling, BMX, and cycle speedway.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>3-ACT MATH PREVIEW<\/strong><\/p>\n<p>Math Modeling<br \/>\nThe Cheese Sticks<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6863\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-5.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 5\" width=\"562\" height=\"627\" \/><\/p>\n<h3>Lesson 5.1 Patterns for Multiplication Facts<\/h3>\n<p><strong>Solve &amp; Share<\/strong><br \/>\nMax found 6 \u00d7 8 = 48. He noticed that (6 \u00d7 4) + (6 \u00d7 4) also equals 48. Use the multiplication table to find two other facts whose sum is 48. Use facts that have a 6 or 8 as a factor. What pattern do you see?<br \/>\nI can &#8230; use structure and properties to explain patterns for multiplication facts.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6864\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-6.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 6\" width=\"606\" height=\"414\" \/><\/p>\n<p>Look Back! How can a multiplication table help you find products that equal 48 when added together?<br \/>\nAnswer:<br \/>\nMultiplication table can help in finding products that are equal 48 when added together are by finding the factors of 48 and later adding them, which is easy.<\/p>\n<p>Explanation:<br \/>\nMultiplication table helps in easy way to find factors required for the given number.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Explain Patterns on in the Multiplication Chart?<br \/>\nAnswer:<br \/>\nFactors of 48:<br \/>\n2 \u00d7 24 = 48.<br \/>\n3 \u00d7 16 = 48.<br \/>\n4 \u00d7 12 = 48.<br \/>\n6 \u00d7 8 = 48.<\/p>\n<p>Explanation:<br \/>\n<img src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-6.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 6\" \/><br \/>\n?? + ?? = 48.<br \/>\nFactors of 48:<br \/>\n2 \u00d7 24 = 48.<br \/>\n3 \u00d7 16 = 48.<br \/>\n4 \u00d7 12 = 48.<br \/>\n6 \u00d7 8 = 48.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Visual Learning Bridge<\/strong><br \/>\nYolanda noticed that 4 \u00d7 6 is double 2 \u00d7 6. How can you explain this?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6865\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-7.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 7\" width=\"581\" height=\"251\" \/><\/p>\n<p>4 is the double of 2.<br \/>\nSo, 4 \u00d7 6 is double 2\u00d7 6.<br \/>\nYou can use the Distributive Property of Multiplication to explain.<br \/>\n4&#215;6= (2 \u00d7 6) + (2 \u00d7 6)<br \/>\n4 \u00d7 6 = 12 + 12<br \/>\n4 \u00d7 6= 24<\/p>\n<p>Look at the highlighted rows.<br \/>\nThe product of any number multiplied by 4 will be double the product of that number multiplied by 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6866\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-8.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 8\" width=\"421\" height=\"291\" \/><\/p>\n<p>Convince Me! Look for Relationships Look at the highlighted rows of numbers multiplied by 2 or 4. What pattern do you see across the rows?<br \/>\nAnswer:<br \/>\nThe highlighted rows of numbers multiplied by 2 or 4 shows they are the multiples of the 2 and 4 numbers.<\/p>\n<p>Explanation:<br \/>\nThe highlighted rows of numbers multiplied by 2 or 4 shows the pattern of difference of 2 and 4 between them. They are the multiples of the 2 and 4 numbers.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Guided Practice<br \/>\n<\/strong><strong>Do You Understand?<\/strong><br \/>\nQuestion 1.<br \/>\nHow are 3 \u00d7 7 and 6 \u00d7 7 related?<br \/>\nAnswer:<br \/>\n6 \u00d7 7 is double of 3 \u00d7 7.<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 7 = (3 \u00d7 7) + (3 \u00d7 7)<br \/>\n6 \u00d7 7 = 21 + 21<br \/>\n6 \u00d7 7 = 42.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 2.<br \/>\nIn the table on the previous page, is the pattern that Yolanda found also true for factors that are multiplied by 3 and 6? Explain.<br \/>\nAnswer:<br \/>\nNo, in the table on the previous page, is the pattern that Yolanda found also true for factors that are multiplied by 3 and 6.<\/p>\n<p>Explanation:<br \/>\nNo, in the table on the previous page, is the pattern that Yolanda found also true for factors that are multiplied by 3 and 6. They are the multiples of 2 and 4 not 3 and 6.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Do You Know How?<\/strong><br \/>\nIn 3 and 4, use the multiplication table shown below.<br \/>\nQuestion 3.<br \/>\nWhat pattern do you see in the columns and rows that have 0 as a factor?<br \/>\nAnswer:<br \/>\nThe pattern seen in the columns and rows that have 0 as a factor is crossed.<\/p>\n<p>Explanation:<br \/>\nThe pattern seen in the columns and rows that have 0 as a factor is crossed. Zero multiplied by any factor, the result is zero.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 4.<br \/>\nUse a property to explain why this pattern is true.<br \/>\nAnswer:<br \/>\n8 \u00d7 0 = (4 \u00d7 0) + (4 \u00d7 0)<br \/>\n8 \u00d7 0 = 0 + 0<br \/>\n8 \u00d7 0 = 0.<\/p>\n<p>Explanation:<br \/>\nDistributive property can be used.<br \/>\n8 \u00d7 0 = (4 \u00d7 0) + (4 \u00d7 0)<br \/>\n8 \u00d7 0 = 0 + 0<br \/>\n8 \u00d7 0 = 0.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Independent Practice<br \/>\n<\/strong>In 5-8, use the multiplication table shown at the right.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6867\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-9.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 9\" width=\"320\" height=\"370\" \/><br \/>\nQuestion 5.<br \/>\nLook at the shaded products. What pattern do you see?<br \/>\nAnswer:<br \/>\nShaded products shows the pattern of 8 difference from 0 to 8, 8 to 14, later 4 difference from 14 to18, later 2 difference from18 to 20, and reverse from 20 to 0.<\/p>\n<p>Explanation:<br \/>\nShaded products shows the pattern of 8 difference from 0 to 8, 8 to 14, later 4 difference from 14 to18, later 2 difference from18 to 20, and reverse from 20 to 0. Its not content change of pattern noticed.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 6.<br \/>\nWrite the equation for each shaded product.<br \/>\nAnswer:<br \/>\n(0 \u00d7 0) + (0 \u00d7 0) = 0 + 0 = 0.<br \/>\n(2 \u00d7 2) + (2 \u00d7 2) = 4 + 4 = 8.<br \/>\n(2 \u00d7 4) + (2 \u00d7 3) = 8 + 6 = 14.<br \/>\n(2 \u00d7 5) + (2 \u00d7 4) = 10 + 8 =18.<br \/>\n(2 \u00d7 5) + (2 \u00d7 5) = 10 + 10 = 20<\/p>\n<p>Explanation:<br \/>\nshaded product:<br \/>\n(0 \u00d7 0) + (0 \u00d7 0) = 0 + 0 = 0.<br \/>\n(2 \u00d7 2) + (2 \u00d7 2) = 4 + 4 = 8.<br \/>\n(2 \u00d7 4) + (2 \u00d7 3) = 8 + 6 = 14.<br \/>\n(2 \u00d7 5) + (2 \u00d7 4) = 10 + 8 =18.<br \/>\n(2 \u00d7 5) + (2 \u00d7 5) = 10 + 10 = 20<\/p>\n<p>&nbsp;<\/p>\n<p>Question 7.<br \/>\nLook at the factors you wrote. Use a property to explain why the pattern for the products is true.<br \/>\nAnswer:<br \/>\n0 = (0 \u00d7 0) + (0 \u00d7 0) = 0 + 0<br \/>\n8 = (2 \u00d7 4) = (2 \u00d7 2) + (2 \u00d7 2) = 4 + 4.<br \/>\n14 = (2 \u00d7 7) = (2 \u00d7 4) + (2 \u00d7 3) = 8 + 6.<br \/>\n18 = (2 \u00d7 9) = (2 \u00d7 5) + (2 \u00d7 4) = 10 + 8.<br \/>\n20 = (2 \u00d7 10) = (2 \u00d7 5) + (2 \u00d7 5) = 10 + 10.<\/p>\n<address>Explanation:<br \/>\nDistributive property:<br \/>\n0 = (0 \u00d7 0) + (0 \u00d7 0) = 0 + 0<br \/>\n8 = (2 \u00d7 4) = (2 \u00d7 2) + (2 \u00d7 2) = 4 + 4.<br \/>\n14 = (2 \u00d7 7) = (2 \u00d7 4) + (2 \u00d7 3) = 8 + 6.<br \/>\n18 = (2 \u00d7 9) = (2 \u00d7 5) + (2 \u00d7 4) = 10 + 8.<br \/>\n20 = (2 \u00d7 10) = (2 \u00d7 5) + (2 \u00d7 5) = 10 + 10.<\/address>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 8.<br \/>\nShade a line in the multiplication table to show how this pattern is true for other products.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16938\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Pick-a-Project-Visual-Learning-Bridge-Guided-Practice-Independent-Practice-8.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Pick a Project-Visual Learning Bridge-Guided Practice-Independent Practice-8\" width=\"570\" height=\"475\" \/><\/p>\n<p>Explanation:<br \/>\nshaded numbers are 8,14,16,20. The numbers are shaded.<br \/>\n8 = 2 \u00d7 4.<br \/>\n14 = 2 \u00d7 7.<br \/>\n18 = 2 \u00d7 9.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Problem Solving<br \/>\n<\/strong>Question 9.<br \/>\nenVision\u00ae STEM How many arms do 9 starfish have if &#8230;<br \/>\na. each starfish has 6 arms? Write a multiplication equation to solve.<\/p>\n<p>Answer:<br \/>\nTotal number of arms 9 star fishes have = Number of arms each star fish has \u00d7 Number of star fishes<br \/>\n= 6 \u00d7 9<br \/>\n= 54.<\/p>\n<p>Explanation:<br \/>\nNumber of arms each star fish has = 6.<br \/>\nNumber of star fishes = 9.<br \/>\nTotal number of arms 9 star fishes have = Number of arms each star fish has \u00d7 Number of star fishes<br \/>\n= 6 \u00d7 9<br \/>\n= 54.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>b. each starfish has 7 arms? Write a multiplication equation to solve.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6868\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-10.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 10\" width=\"205\" height=\"136\" \/><\/p>\n<p>Answer:<br \/>\nTotal number of arms 9 star fishes have = Number of arms each star fish has \u00d7 Number of star fishes<br \/>\n= 7 \u00d7 9<br \/>\n= 63.<\/p>\n<p>Explanation:<br \/>\nNumber of arms each star fish has = 7.<br \/>\nNumber of star fishes = 9.<br \/>\nTotal number of arms 9 star fishes have = Number of arms each star fish has \u00d7 Number of star fishes<br \/>\n= 7 \u00d7 9<br \/>\n= 63.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 10.<br \/>\n<strong>Higher Order Thinking<\/strong> Karen found a pattern on the multiplication table. What pattern did she find? Explain why it is true.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6869\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-11.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 11\" width=\"226\" height=\"71\" \/><\/p>\n<p>Answer:<br \/>\nThe pattern she found is the difference of 6 in between every number highlighted\u00a0on the multiplication table.<\/p>\n<p>Explanation:<br \/>\nThe pattern she found is the multiples of 6 number on the multiplication table.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 11.<br \/>\nWrite the fact family for each fact: 2 \u00d7 0, 2 \u00d7 1, 2 \u00d7 2, 2 \u00d7 3, 2 \u00d7 4, 2 \u00d7 5, 2 \u00d7 6, 2 \u00d7 7, 2 \u00d7 8, 2 \u00d7 9, and 2 \u00d7 10.<br \/>\nAnswer:<br \/>\n2 \u00d7 0 = 0. =&gt; 0 \u00d7 2 = 0.<br \/>\n2 \u00d7 1 = 2. =&gt; 1 \u00d7 2 = 2.<br \/>\n2 \u00d7 2 = 4. =&gt; 2 \u00d7 2 = 4.<br \/>\n2 \u00d7 3 = 6. =&gt; 3 \u00d7 2 = 6.<br \/>\n2 \u00d7 4 = 8. =&gt; 4 \u00d7 2 = 8.<br \/>\n2 \u00d7 5 = 10. =&gt; 5 \u00d7 2 = 10.<br \/>\n2 \u00d7 6 = 12. =&gt; 6 \u00d7 2 = 12.<br \/>\n2 \u00d7 7 = 14. =&gt; 7 \u00d7 2 = 14.<br \/>\n2 \u00d7 8 = 16. =&gt; 8 \u00d7 2 = 16.<br \/>\n2 \u00d7 9 = 18. =&gt; 9 \u00d7 2 = 18.<br \/>\n2 \u00d7 10 = 20. =&gt; 2 \u00d7 2 = 4.<\/p>\n<p>Explanation:<br \/>\nFact family:<br \/>\n2 \u00d7 0 = 0. =&gt; 0 \u00d7 2 = 0.<br \/>\n2 \u00d7 1 = 2. =&gt; 1 \u00d7 2 = 2.<br \/>\n2 \u00d7 2 = 4. =&gt; 2 \u00d7 2 = 4.<br \/>\n2 \u00d7 3 = 6. =&gt; 3 \u00d7 2 = 6.<br \/>\n2 \u00d7 4 = 8. =&gt; 4 \u00d7 2 = 8.<br \/>\n2 \u00d7 5 = 10. =&gt; 5 \u00d7 2 = 10.<br \/>\n2 \u00d7 6 = 12. =&gt; 6 \u00d7 2 = 12.<br \/>\n2 \u00d7 7 = 14. =&gt; 7 \u00d7 2 = 14.<br \/>\n2 \u00d7 8 = 16. =&gt; 8 \u00d7 2 = 16.<br \/>\n2 \u00d7 9 = 18. =&gt; 9 \u00d7 2 = 18.<br \/>\n2 \u00d7 10 = 20. =&gt; 2 \u00d7 2 = 4.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 12.<br \/>\nBe Precise Describe a pattern you see in the 9s row of the multiplication table.<br \/>\nAnswer:<br \/>\nThe pattern noticed is they are the multiples of 9 number<span style=\"font-size: inherit; letter-spacing: 0px;\">\u00a0in the 9s row of the multiplication table.<\/span><\/p>\n<p>Explanation:<br \/>\n<img src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Pick-a-Project-Visual-Learning-Bridge-Guided-Practice-Independent-Practice-8.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Pick a Project-Visual Learning Bridge-Guided Practice-Independent Practice-8\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Assessment Practice<br \/>\n<\/strong>Question 13.<br \/>\nOne row and 1 column are shaded in the multiplication table below.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6870\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-12.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 12\" width=\"351\" height=\"249\" \/><br \/>\nWhat pattern and property of operations is shown in the shaded row and column?<br \/>\nA. The products are all equal to the factor that is multiplied by 1; The Identity Property of Multiplication<br \/>\nB. The products in the shaded row are equivalent to the products in the shaded column; The Zero Property of Multiplication<br \/>\nC. Each product is 1 greater than the product before; The Distributive Property<br \/>\nD. There are no patterns or properties.<\/p>\n<p>Answer:<br \/>\nA. The products are all equal to the factor that is multiplied by 1; The Identity Property of Multiplication is the pattern and property of operations is shown in the shaded row and column:<\/p>\n<p>Explanation:<br \/>\nThe pattern and property of operations is shown in the shaded row and column:<br \/>\nA. The products are all equal to the factor that is multiplied by 1; The Identity Property of Multiplication<\/p>\n<p>&nbsp;<\/p>\n<h3>Lesson 5.2 Use a Table to Multiply and Divide<\/h3>\n<p><strong>Solve &amp; Share<\/strong><br \/>\nFind 18 \u00f7 3 any way you choose.<br \/>\nI can &#8230; use reasoning and the relationship between multiplication and division to find basic facts.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6871\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-13.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 13\" width=\"461\" height=\"550\" \/><br \/>\nLook Back! Describe another way you can find 18 \u00f7 3.<br \/>\nAnswer:<br \/>\nAnother way:<br \/>\n18 \u00f7 6 = 3.<br \/>\n6 \u00d7 3 = 18.<\/p>\n<p>Explanation:<br \/>\nAnother way:<br \/>\n18 \u00f7 3 = 6.<br \/>\n18 \u00f7 6 = 3.<br \/>\n6 \u00d7 3 = 18.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Use a Multiplication to Table to Solve Division Problems?<br \/>\nAnswer:<br \/>\nWe can use a Multiplication to Table to Solve Division Problems by using the factors.<br \/>\nFor Example:<br \/>\n2 \u00d7 5 = 10.<br \/>\n10 \u00f7 2 = 5.<\/p>\n<p>Explanation:<br \/>\nWe use the multiplication tables of the smaller. Number to get the answer to a division problem quickly. For Example:<br \/>\n2 \u00d7 5 = 10.<br \/>\n10 \u00f7 2 = 5.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Visual Learning Bridge<\/strong><br \/>\nWrite a missing factor equation and then use the multiplication table to find 15 \u00f7 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6872\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-14.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 14\" width=\"455\" height=\"235\" \/><br \/>\n15 \u00f7 3= ?<br \/>\n3 \u00d7 ? = 15<br \/>\n3 times what number equals 15?<\/p>\n<p>Step 1 You know one factor is 3. Find the 3 in the first column of this multiplication table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6873\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-15.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 15\" width=\"178\" height=\"107\" \/><br \/>\nStep 2 You know the product is 15. Follow the row the 3 is in until you come to 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6874\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-16.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 16\" width=\"174\" height=\"104\" \/><br \/>\nStep 3 Look straight up to the top of that column of the table. The number on the top of the column is 5. The missing factor is 5.<br \/>\n3 \u00d7 5 = 15<br \/>\n15 \u00f7 3 = 5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6875\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-17.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 17\" width=\"169\" height=\"104\" \/><\/p>\n<p>Convince Me! Reasoning Write a missing factor equation and use the multiplication table above to solve each division problem.<br \/>\n6 \u00f7 3 = ?<br \/>\n12 \u00f7 3 = ?<br \/>\n9 \u00f7 3 = ?<br \/>\nAnswer:<br \/>\n6 \u00f7 3 = 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17250\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.2-Use-a-Table-to-Multiply-and-Divide-Visual-Learning-Bridge-.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.2 Use a Table to Multiply and Divide-Visual Learning Bridge-\" width=\"599\" height=\"340\" \/><br \/>\n12 \u00f7 3 = 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17252\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.2-Use-a-Table-to-Multiply-and-Divide-Visual-Learning-Bridge.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.2 Use a Table to Multiply and Divide-Visual Learning Bridge\" width=\"592\" height=\"340\" \/><br \/>\n9 \u00f7 3 = 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17253\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.2-Use-a-Table-to-Multiply-and-Divide-Visual-Learning-Bridge...png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.2 Use a Table to Multiply and Divide-Visual Learning Bridge..\" width=\"559\" height=\"333\" \/><\/p>\n<p>Explanation:<br \/>\n6 \u00f7 3 = ?<br \/>\n=&gt; 6 \u00f7 3 = 2.<br \/>\n12 \u00f7 3 = ?<br \/>\n=&gt; 12 \u00f7 3 = 4.<br \/>\n9 \u00f7 3 = ?<br \/>\n=&gt; 9 \u00f7 3 = 3.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Another Example!<\/strong><br \/>\nHow can you find the missing numbers in the table?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6876\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-18.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 18\" width=\"638\" height=\"261\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Guided Practice<br \/>\n<\/strong><strong>Do You Understand?<\/strong><br \/>\nQuestion 1.<br \/>\nExplain how to use a multiplication table to solve a missing factor equation.<br \/>\nAnswer:<br \/>\nWay you can find the missing factor in a multiplication:<br \/>\nEquation is using a repeated addition let&#8217;s take a look at this multiplication equation four times something equals 24.<br \/>\n24 \u00f7 4 = ??<br \/>\n=&gt; 24 \u00f7 4 = 6.<\/p>\n<p>Explanation:<br \/>\nEquation is using a repeated addition let&#8217;s take a look at this multiplication equation four times something equals 24.<br \/>\n24 \u00f7 4 = ??<br \/>\n=&gt; 24 \u00f7 4 = 6.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Do You Know How?<\/strong><br \/>\nIn 2-5, find the value that makes the equation correct. Use a multiplication table to help.<br \/>\nQuestion 2.<br \/>\n24 \u00f7 6 = _______<br \/>\n24 = 6 \u00d7 _______<br \/>\nAnswer:<br \/>\n24 \u00f7 6 = ___4____.<br \/>\n24 = 6 \u00d7 ___4____.<\/p>\n<p>Explanation:<br \/>\n24 \u00f7 6 = 4.<br \/>\n24 = 6 \u00d7 4.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 3.<br \/>\n63 \u00f7 9 = _______<br \/>\n9 \u00d7 _____ = 63<br \/>\nAnswer:<br \/>\n63 \u00f7 9 = __7_____.<br \/>\n9 \u00d7 _7____ = 63.<\/p>\n<p>Explanation:<br \/>\n63 \u00f7 9 = 7.<br \/>\n9 \u00d7 7 = 63.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 4.<br \/>\n25 \u00f7 5 = ______<br \/>\n5 \u00d7 ______ = 25<br \/>\nAnswer:<br \/>\n25 \u00f7 5 = __5____.<br \/>\n5 \u00d7 __5____ = 25.<\/p>\n<p>Explanation:<br \/>\n25 \u00f7 5 = 5.<br \/>\n5 \u00d7 5 = 25.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 5.<br \/>\n42 \u00f7 7 = _______<br \/>\n42 = 7 \u00d7 _______<br \/>\nAnswer:<br \/>\n42 \u00f7 7 = ___6____.<br \/>\n42 = 7 \u00d7 __6_____.<\/p>\n<p>Explanation:<br \/>\n42 \u00f7 7 = 6.<br \/>\n42 = 7 \u00d7 6.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Independent Practice<br \/>\n<\/strong>In 6 and 7, find the missing factors and products.<br \/>\nQuestion 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6877\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-19.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 19\" width=\"291\" height=\"187\" \/><br \/>\nAnswer:<br \/>\n5 \u00d7 ? = 25.<br \/>\n6 \u00d7 ? = 48.<br \/>\n6 \u00d7 ? = 42.<br \/>\n? \u00d7 5 = 45.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-17255\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.2-Use-a-Table-to-Multiply-and-Divide-Guided-Practice-Independent-Practice-6.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.2 Use a Table to Multiply and Divide-Guided Practice-Independent Practice-6\" width=\"442\" height=\"287\" \/><\/p>\n<p>Explanation:<br \/>\n5 \u00d7 ? = 25.<br \/>\n=&gt; 5 \u00d7 5 = 25.<br \/>\n6 \u00d7 ? = 48.<br \/>\n=&gt; 6 \u00d7 8 = 48.<br \/>\n6 \u00d7 ? = 42.<br \/>\n=&gt; 6 \u00d7 7 = 42.<br \/>\n? \u00d7 5 = 45.<br \/>\n=&gt; 9 \u00d7 5 = 45.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6878\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-20.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 20\" width=\"283\" height=\"178\" \/><br \/>\nAnswer:<br \/>\n4 \u00d7 ? = 12.<br \/>\n? \u00d7 9 = 54.<br \/>\n3 \u00d7 ? = 6.<br \/>\n? \u00d7 9 = 72.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-17263\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.2-Use-a-Table-to-Multiply-and-Divide-Guided-Practice-Independent-Practice-7.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.2 Use a Table to Multiply and Divide-Guided Practice-Independent Practice-7\" width=\"383\" height=\"278\" \/><\/p>\n<p>Explanation:<br \/>\n4 \u00d7 ? = 12.<br \/>\n=&gt; 4 \u00d7 3 = 12.<br \/>\n? \u00d7 9 = 54.<br \/>\n=&gt; 6 \u00d7 9 = 54.<br \/>\n3 \u00d7 ? = 6.<br \/>\n=&gt; 3 \u00d7 2 = 6.<br \/>\n? \u00d7 9 = 72.<br \/>\n=&gt; 8 \u00d7 9 = 72.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-6879\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-21.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 21\" width=\"316\" height=\"301\" \/><br \/>\nQuestion 8.<br \/>\nSome members of the Bird Club used a tally chart to record how many different birds they each saw one day. Fill in the blanks below to make the sentence correct. _________ saw 4 more birds than ________.<br \/>\nAnswer:<br \/>\n__Miss. Simmons_______ saw 4 more birds than ___Ms. Chester_____.<\/p>\n<p>Explanation:<br \/>\nNumber of birds Ms. Chester saw = 7.<br \/>\nNumber of birds Mr. Dobbs saw = 4.<br \/>\nNumber of birds Miss. Simmons saw = 11.<br \/>\nNumber of birds Mr. Molina saw = 0.<br \/>\nDifference:<br \/>\nNumber of birds Miss. Simmons saw &#8211; Number of birds Ms. Chester saw<br \/>\n= 11 &#8211; 7<br \/>\n= 4.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 9.<br \/>\nComplete the chart to show that Mr. Molina saw 5 fewer birds than Mr. Dobbs and Miss Simmons combined.<br \/>\nAnswer:<br \/>\nMr. Molina saw 15 fewer birds than Mr. Dobbs and Miss Simmons combined.<\/p>\n<p>Explanation:<br \/>\nNumber of birds Ms. Chester saw = 7.<br \/>\nNumber of birds Mr. Dobbs saw = 4.<br \/>\nNumber of birds Miss. Simmons saw = 11.<br \/>\nNumber of birds Mr. Molina saw = 0.<br \/>\nNumber of birds Mr. Dobbs and Miss Simmons combined = Number of birds Miss. Simmons saw + Number of birds Mr. Dobbs saw<br \/>\n= 11 + 4<br \/>\n= 15.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 10.<br \/>\n<strong>Critique Reasoning<\/strong> Bill used a multiplication table to find the value of 12 = 6. His answer was 3. Do you agree? Why or why not?<\/p>\n<p>Answer:<br \/>\nBill is wrong because 12 = 6 when the answer is 2 not 3.<br \/>\n=&gt; 12 \u00f7 2 = 6.<\/p>\n<p>Explanation:<br \/>\n12 = 6.<br \/>\n=&gt; 12 \u00f7 2 = 6.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 11.<br \/>\nWrite the fact family for each fact: 5 \u00d7 0, 5 \u00d7 1, 5 \u00d7 2, 5 \u00d7 3, 5 \u00d7 4, 5 \u00d7 5, 5 \u00d7 6, 5 \u00d7 7, 5 \u00d7 8, 5 \u00d7 9, and 5 \u00d7 10.<br \/>\nAnswer:<br \/>\nFact family:<br \/>\n5 \u00d7 0 = 0.<br \/>\n= 0 \u00d7 5 = 0.<br \/>\n5 \u00d7 1 = 5.<br \/>\n=&gt; 1 \u00d7 5 = 5.<br \/>\n5 \u00d7 2 = 10.<br \/>\n=&gt; 2 \u00d7 5 = 10.<br \/>\n5 \u00d7 3 = 15.<br \/>\n=&gt; 3 \u00d7 5 = 15.<br \/>\n5 \u00d7 4 = 20.<br \/>\n=&gt; 4 \u00d7 5 = 20.<br \/>\n5 \u00d7 5 = 25.<br \/>\n=&gt; 5 \u00d7 5 = 25.<br \/>\n5 \u00d7 6 = 30.<br \/>\n=&gt; 6 \u00d7 5 = 30.<br \/>\n5 \u00d7 7 = 35.<br \/>\n=&gt; 7 \u00d7 5 = 35.<br \/>\n5 \u00d7 8 = 40.<br \/>\n=&gt; 8 \u00d7 5 = 40.<br \/>\n5 \u00d7 9 = 45.<br \/>\n=&gt; 9 \u00d7 5 = 45.<br \/>\n5 \u00d7 10 = 50.<br \/>\n=&gt; 10 \u00d7 5 = 50.<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 0 = 0.<br \/>\n= 0 \u00d7 5 = 0.<br \/>\n5 \u00d7 1 = 5.<br \/>\n=&gt; 1 \u00d7 5 = 5.<br \/>\n5 \u00d7 2 = 10.<br \/>\n=&gt; 2 \u00d7 5 = 10.<br \/>\n5 \u00d7 3 = 15.<br \/>\n=&gt; 3 \u00d7 5 = 15.<br \/>\n5 \u00d7 4 = 20.<br \/>\n=&gt; 4 \u00d7 5 = 20.<br \/>\n5 \u00d7 5 = 25.<br \/>\n=&gt; 5 \u00d7 5 = 25.<br \/>\n5 \u00d7 6 = 30.<br \/>\n=&gt; 6 \u00d7 5 = 30.<br \/>\n5 \u00d7 7 = 35.<br \/>\n=&gt; 7 \u00d7 5 = 35.<br \/>\n5 \u00d7 8 = 40.<br \/>\n=&gt; 8 \u00d7 5 = 40.<br \/>\n5 \u00d7 9 = 45.<br \/>\n=&gt; 9 \u00d7 5 = 45.<br \/>\n5 \u00d7 10 = 50.<br \/>\n=&gt; 10 \u00d7 5 = 50.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 12.<br \/>\n<strong>Higher Order Thinking<\/strong> Brit uses a multiplication table to multiply 2 different factors. She notices that the product is in the same column as the number 35. What is one of the factors in Brit&#8217;s multiplication problem? Explain your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6880\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-22.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 22\" width=\"235\" height=\"202\" \/><\/p>\n<p>Answer:<br \/>\nOne of the factors in Brit&#8217;s multiplication problem:<br \/>\n7 \u00d7 5 = 35.<\/p>\n<p>Explanation:<br \/>\nOne of the factors in Brit&#8217;s multiplication problem:<br \/>\n7 \u00d7 5 = 35.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Assessment Practice<br \/>\n<\/strong>Question 13.<br \/>\nUse the relationship between multiplication and division to find the missing number in 21 \u00f7 \u2610 = 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6881\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-23.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 23\" width=\"225\" height=\"208\" \/><br \/>\nA. 1<br \/>\nB. 3<br \/>\nC. 7<br \/>\nD. 9<\/p>\n<p>Answer:<br \/>\n21 \u00f7 3 = 7.<br \/>\nB. 3<\/p>\n<p>Explanation:<br \/>\n21 \u00f7 \u2610 = 7.<br \/>\n=&gt; 21 \u00f7 ?? = 7.<br \/>\n=&gt;\u00a021 \u00f7 3 = 7.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Lesson 5.3 Use Strategies to Multiply<\/h3>\n<p><strong>Solve &amp; Share<\/strong><br \/>\nAlfredo has 6 bags of oranges. Each bag contains 7 oranges. How many oranges does Alfredo have? Show 2 ways to find this answer.<br \/>\nI can &#8230; use different strategies to solve multiplication problems.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6882\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-24.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 24\" width=\"374\" height=\"491\" \/><\/p>\n<p>Look Back! How do strategies such as skip counting, using known facts, and making arrays help you solve multiplication facts?<br \/>\nAnswer:<br \/>\nStrategies such as skip counting, using known facts, and making arrays helps solve multiplication facts by easy calculations and easy in finding the solution for the problem.<\/p>\n<p>Explanation:<br \/>\nStrategies such as skip counting, using known facts, and making arrays helps solve multiplication facts by easy calculations and easy in finding the solution for the problem.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Do You Use Strategies Question to Multiply?<br \/>\nAnswer:<br \/>\nStrategies help us use what we do know\u00a0 (easier multiplication facts or addition facts) to solve any problem.<\/p>\n<p>Explanation:<br \/>\nStrategies help us use what we do know\u00a0 (easier multiplication facts or addition facts) to understand the problem and solve the problem.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Visual Learning Bridge<\/strong><br \/>\nA scientist on a boat is studying hammerhead sharks. The length of 6 hammerhead sharks lined up nose to tail without gaps is equal to the length of the boat. How long is the boat?<br \/>\nDrawings, skip counting, tools, and properties of operations are strategies you can use to multiply equal groups.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6883\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-25.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 25\" width=\"322\" height=\"219\" \/><\/p>\n<p><strong>One Way<\/strong><br \/>\nUse a bar diagram to find 6 \u00d7 5.<br \/>\n6 \u00d7 5 means 6 groups of 5. Skip count by 5s.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6884\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-26.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 26\" width=\"180\" height=\"81\" \/><br \/>\nSo, 6 \u00d7 5= 30.<br \/>\nThe boat is 30 yards long.<\/p>\n<p><strong>Another Way<\/strong><br \/>\nUse counters and properties to find 6 \u00d7 5.<br \/>\nThe Distributive Property says you can break the problem into smaller parts. Use 2s facts and 4s facts to help.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6885\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-27.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 27\" width=\"192\" height=\"121\" \/><br \/>\nThen add the two products: 10 + 20 = 30.<br \/>\nThe boat is 30 yards long.<\/p>\n<p>Convince Me! Use Structure How can knowing the product of 5 \u00d7 6 help you solve 6 \u00d7 5?<\/p>\n<p>Answer:<br \/>\n5 \u00d7 6 = 30.<br \/>\n6 \u00d7 5 = 30.<br \/>\nBoth the products value is same.<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 6 = (2 \u00d7 6) + (3 \u00d7 6) = 12 + 18 =\u00a0 30.<br \/>\n6 \u00d7 5 = (4 \u00d7 5) + ( 2 \u00d7 5) = 20 + 10 = 30.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Guided Practice<br \/>\n<\/strong><strong>Do You Understand?<\/strong><br \/>\nQuestion 1.<br \/>\nWhat two known facts can you use to find 3 \u00d7 5?<br \/>\nAnswer:<br \/>\n3 \u00d7 5 = (1 \u00d7 5) + (2 \u00d7 5) = 5 + 10 = 15.<\/p>\n<p>Explanation:<br \/>\n3 \u00d7 5 = (1 \u00d7 5) + (2 \u00d7 5)<br \/>\n3 \u00d7 5 = 5 + 10<br \/>\n3 \u00d7 5 = 15.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 2.<br \/>\nHow could knowing 7 \u00d7 5 = 35 help you find 9 \u00d7 5?<br \/>\nAnswer:<br \/>\n9 \u00d7 5 = (7 \u00d7 5) + (2 \u00d7 5) = 35 + 10 = 45.<\/p>\n<p>Explanation:<br \/>\n7 \u00d7 5 = 35 helps to find 9 \u00d7 5.<br \/>\n9 \u00d7 5 = (7 \u00d7 5) + (2 \u00d7 5)<br \/>\n9 \u00d7 5 = 35 + 10<br \/>\n9 \u00d7 5 = 45.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Do You Know How?<\/strong><br \/>\nIn 3-8, multiply.<br \/>\nQuestion 3.<br \/>\n6 \u00d7 4 = _______<br \/>\nAnswer:<br \/>\n6 \u00d7 4 = __24._____<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 4 = (3 \u00d7 4) + (3 \u00d7 4)<br \/>\n6 \u00d7 4 = 12 + 12<br \/>\n6 \u00d7 4 = 24.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 4.<br \/>\n______ = 4 \u00d7 5<br \/>\nAnswer:<br \/>\n__20____ = 4 \u00d7 5.<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 5 = (2 \u00d7 5) + (2 \u00d7 5)<br \/>\n4 \u00d7 5 = 10 + 10<br \/>\n4 \u00d7 5 = 20.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 5.<br \/>\n9 \u00d7 3 = _______<br \/>\nAnswer:<br \/>\n9 \u00d7 3 = __27_____.<\/p>\n<p>Explanation:<br \/>\n9 \u00d7 3 = (6 \u00d73) + (3 \u00d7 3)<br \/>\n9 \u00d7 3 = 18 + 9<br \/>\n9 \u00d7 3 = 27.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 6.<br \/>\n3 \u00d7 2 = ________<br \/>\nAnswer:<br \/>\n3 \u00d7 2 = ____6____.<\/p>\n<p>Explanation:<br \/>\n3 \u00d7 2 = (1 \u00d7 2) + (2\u00d7 2)<br \/>\n3 \u00d7 2 = 2 + 4<br \/>\n3 \u00d7 2 = 6.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6886\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-28.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 28\" width=\"50\" height=\"72\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17293\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.3-Use-Strategies-to-Multiply-Visual-Learning-Bridge-Guided-Practice-7.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.3 Use Strategies to Multiply-Visual Learning Bridge-Guided Practice-7\" width=\"84\" height=\"117\" \/><\/p>\n<p>Explanation:<br \/>\n1 \u00d7 4 = 4.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6887\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-29.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 29\" width=\"62\" height=\"88\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17294\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.3-Use-Strategies-to-Multiply-Visual-Learning-Bridge-Guided-Practice-8.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.3 Use Strategies to Multiply-Visual Learning Bridge-Guided Practice-8\" width=\"106\" height=\"140\" \/><\/p>\n<p>Explanation:<br \/>\n9 \u00d7 8 = (5 \u00d7 8) + (4 \u00d7 8)<br \/>\n9 \u00d7 8 = 40 + 32<br \/>\n9 \u00d7 8 = 72.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Independent Practice<br \/>\n<\/strong>In 9-25, use strategies to find the product.<br \/>\nQuestion 9.<br \/>\n_____ = 5 \u00d7 5<br \/>\nAnswer:<br \/>\n__25___ = 5 \u00d7 5.<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 5 = (3 \u00d7 5) + (2 \u00d7 5)<br \/>\n5 \u00d7 5 = 15 + 10<br \/>\n5 \u00d7 5 = 25.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 10.<br \/>\n9 \u00d7 2 = _______<br \/>\nAnswer:<br \/>\n9 \u00d7 2 = ___18____.<\/p>\n<p>Explanation:<br \/>\n9 \u00d7 2 = (7 \u00d7 2) + (2 \u00d7 2)<br \/>\n9 \u00d7 2 = 14 + 4<br \/>\n9 \u00d7 2 = 18.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 11.<br \/>\n______ = 5 \u00d7 9<br \/>\nAnswer:<br \/>\n__45____ = 5 \u00d7 9.<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 9 = (3 \u00d7 9) + (2 \u00d7 9)<br \/>\n5 \u00d7 9 = 27 + 18<br \/>\n5 \u00d7 9 = 45.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 12.<br \/>\n8 \u00d7 7 = _______<br \/>\nAnswer:<br \/>\n8 \u00d7 7 = __56_____.<\/p>\n<p>Explanation:<br \/>\n8 \u00d7 7 = (4 \u00d7 7) + (4 \u00d7 7)<br \/>\n8 \u00d7 7 = 28 + 28<br \/>\n8 \u00d7 7 = 56.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 13.<br \/>\n_____ = 3 \u00d7 6<\/p>\n<p>Answer:<br \/>\n__18___ = 3 \u00d7 6.<\/p>\n<p>Explanation:<br \/>\n3 \u00d7 6 = (1 \u00d7 6) + (2 \u00d7 6)<br \/>\n3 \u00d7 6 = 6 + 12<br \/>\n3 \u00d7 6 = 18.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 14.<br \/>\n8 \u00d7 4 = _______<br \/>\nAnswer:<br \/>\n8 \u00d7 4 = ___32____.<\/p>\n<p>Explanation:<br \/>\n8 \u00d7 4 = (4 \u00d7 4) + (4 \u00d7 4)<br \/>\n8 \u00d7 4 = 16 + 16<br \/>\n8 \u00d7 4 = 32.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6888\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-30.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 30\" width=\"47\" height=\"71\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17295\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.3-Use-Strategies-to-Multiply-Visual-Learning-Bridge-Independent-Practice-15.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.3 Use Strategies to Multiply-Visual Learning Bridge-Independent Practice-15\" width=\"93\" height=\"124\" \/><\/p>\n<p>Explanation:<br \/>\n10 \u00d7 4 = (5 \u00d7 4) + (5 \u00d7 4)<br \/>\n10 \u00d7 4 = 20 + 20<br \/>\n10 \u00d7 4 = 40.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6889\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-31.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 31\" width=\"44\" height=\"83\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17296\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.3-Use-Strategies-to-Multiply-Visual-Learning-Bridge-Independent-Practice-16.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.3 Use Strategies to Multiply-Visual Learning Bridge-Independent Practice-16\" width=\"68\" height=\"119\" \/><\/p>\n<p>Explanation:<br \/>\n7 \u00d7 6 = ( 4 \u00d7 6) + ( 3 \u00d7 6)<br \/>\n7 \u00d7 6 = 24 + 18<br \/>\n7 \u00d7 6 = 42.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6890\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-32.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 32\" width=\"58\" height=\"72\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17297\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.3-Use-Strategies-to-Multiply-Visual-Learning-Bridge-Independent-Practice-17.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.3 Use Strategies to Multiply-Visual Learning Bridge-Independent Practice-17\" width=\"77\" height=\"125\" \/><\/p>\n<p>Explanation:<br \/>\n6 \u00d7 5 = (3 \u00d7 5) + (3 \u00d7 5)<br \/>\n6 \u00d7 5 = 15 + 15<br \/>\n6 \u00d7 5 = 30.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6891\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-33.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 33\" width=\"48\" height=\"67\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17298\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.3-Use-Strategies-to-Multiply-Visual-Learning-Bridge-Independent-Practice-18.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.3 Use Strategies to Multiply-Visual Learning Bridge-Independent Practice-18\" width=\"60\" height=\"107\" \/><\/p>\n<p>Explanation:<br \/>\n2 \u00d7 8 = (1 \u00d7 8) + (1 \u00d7 8)<br \/>\n2 \u00d7 8 = 8 + 8<br \/>\n2 \u00d7 8 = 16.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6892\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-34.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 34\" width=\"41\" height=\"75\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17299\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.3-Use-Strategies-to-Multiply-Visual-Learning-Bridge-Independent-Practice-19.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.3 Use Strategies to Multiply-Visual Learning Bridge-Independent Practice-19\" width=\"78\" height=\"121\" \/><\/p>\n<p>Explanation:<br \/>\n9 \u00d7 0 = (5 \u00d7 0) + (4 \u00d7 0)<br \/>\n9 \u00d7 0 = 0 + 0<br \/>\n9 \u00d7 0 = 0.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6893\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-35.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 35\" width=\"52\" height=\"69\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17300\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.3-Use-Strategies-to-Multiply-Visual-Learning-Bridge-Independent-Practice-20.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.3 Use Strategies to Multiply-Visual Learning Bridge-Independent Practice-20\" width=\"73\" height=\"126\" \/><\/p>\n<p>Explanation:<br \/>\n10 \u00d7 6 = (5 \u00d7 6) + (5 \u00d7 6)<br \/>\n10 \u00d7 6 = 30 + 30<br \/>\n10 \u00d7 6 = 60.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 21.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6894\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-36.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 36\" width=\"55\" height=\"70\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17301\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.3-Use-Strategies-to-Multiply-Visual-Learning-Bridge-Independent-Practice-21.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.3 Use Strategies to Multiply-Visual Learning Bridge-Independent Practice-21\" width=\"85\" height=\"102\" \/><\/p>\n<p>Explanation:<br \/>\n4 \u00d7 9 = (2 \u00d7 9) + (2 \u00d7 9)<br \/>\n4 \u00d7 9 = 18 + 18<br \/>\n4 \u00d7 9 = 6.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 22.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6895\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-37.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 37\" width=\"44\" height=\"65\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17302\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.3-Use-Strategies-to-Multiply-Visual-Learning-Bridge-Independent-Practice-22.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.3 Use Strategies to Multiply-Visual Learning Bridge-Independent Practice-22\" width=\"81\" height=\"102\" \/><\/p>\n<p>Explanation:<br \/>\n9 \u00d7 7 = ( 6 \u00d7 7) + ( 3 \u00d7 7)<br \/>\n9 \u00d7 7 = 42 + 21<br \/>\n9 \u00d7 7 = 63.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 23.<br \/>\nWhat is 4 \u00d7 6? _______<br \/>\nAnswer:<br \/>\n4 \u00d7 6 = 24.<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 6 = (2 \u00d7 6) + (2 \u00d7 6)<br \/>\n4 \u00d7 6 = 12 + 12<br \/>\n4 \u00d7 6 = 24.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 24.<br \/>\nWhat is 5 \u00d7 8?_______.<br \/>\nAnswer:<br \/>\n5 \u00d7 8 = 40.<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 8 = (3 \u00d7 8) + (2 \u00d7 8)<br \/>\n5 \u00d7 8 = 24 + 16<br \/>\n5 \u00d7 8 = 40.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 25.<br \/>\nWhat is 10 \u00d7 1? _________<br \/>\nAnswer:<br \/>\n10 \u00d7 1 = 10.<\/p>\n<p>Explanation:<br \/>\n10 \u00d7 1 = (6 \u00d7 1) + ( 4 \u00d7 1)<br \/>\n10 \u00d7 1 = 6 + 4<br \/>\n10 \u00d7 1 = 10.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Problem Solving<br \/>\n<\/strong>In 26 and 27, use the pictures below.<br \/>\nQuestion 26.<br \/>\nDr. Marks is studying 3 blacktip sharks and 4 tiger sharks. What is the total length of the 7 sharks? Show your strategy.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6896\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-38.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 38\" width=\"300\" height=\"202\" \/><\/p>\n<p>Answer:<br \/>\nTotal length of the 7 sharks = 22 square yards long.<\/p>\n<p>Explanation:<br \/>\nNumber of blacktip sharks Dr. Marks is studying = 3.<br \/>\nNumber of tiger sharks Dr. Marks is studying = 4.<br \/>\nLength of the each blacktip shark = 2 yards long.<br \/>\nLength of the each tiger shark = 4 yards long.<br \/>\nTotal length of the 7 sharks = (Length of the blacktip shark \u00d7 Number of blacktip sharks Dr. Marks is studying) + ( Length of the each tiger shark \u00d7 Number of tiger sharks Dr. Marks is studying)<br \/>\n=\u00a0 (2 \u00d7 3) + ( 4 \u00d7 4)<br \/>\n= 6 + 16<br \/>\n= 22 square yards long.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 27.<br \/>\n<strong>Critique Reasoning<\/strong> Kent reasons that the total length of 4 blacktip sharks can be found using addition. Is his reasoning correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6897\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-39.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 39\" width=\"272\" height=\"195\" \/><\/p>\n<p>Answer:<br \/>\nYes, his reasoning is correct, we can find the total length of 4 blacktip sharks can be found using addition.<\/p>\n<p>Explanation:<br \/>\nLength of the each blacktip shark = 2 yards long.<br \/>\nTotal length of 4 blacktip sharks = Length of the each blacktip shark + Length of the each blacktip shark\u00a0 + Length of the each blacktip shark\u00a0 + Length of the each blacktip shark<br \/>\n= 2 + 2 + 2 + 2<br \/>\n= 4 + 2 + 2<br \/>\n= 6 + 2<br \/>\n= 8 square yards long.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 28.<br \/>\nWrite the fact family for each fact: 3 \u00d7 0, 3 \u00d7 1, 3 \u00d7 2, 3 \u00d7 3, 3 \u00d7 4, 3 \u00d7 5, 3 \u00d7 6, 3 \u00d7 7, 3 \u00d7 8, 3 \u00d7 9, and 3 \u00d7 10.<br \/>\nAnswer:<br \/>\nFact family:<\/p>\n<p>3 \u00d7 0 = 0.<br \/>\n=&gt; 0 \u00d7 3 = 0.<br \/>\n3 \u00d7 1 = 3.<br \/>\n=&gt; 1 \u00d7 3 = 3.<br \/>\n3 \u00d7 2 = 6.<br \/>\n=&gt; 2 \u00d7 3 = 6.<br \/>\n3 \u00d7 3 = 9.<br \/>\n=&gt; 3 \u00d7 3 = 9.<br \/>\n3 \u00d7 4 = 12.<br \/>\n=&gt; 3 \u00d7 4 = 12.<br \/>\n3 \u00d7 5 = 15.<br \/>\n=&gt; 5\u00a0\u00d7 3 = 15.<br \/>\n3 \u00d7 6 = 18.<br \/>\n=&gt; 6 \u00d7 3 = 18.<br \/>\n3 \u00d7 7 = 21.<br \/>\n=&gt; 7 \u00d7 3 = 21.<br \/>\n3 \u00d7 8 = 24.<br \/>\n=&gt; 8 \u00d7 3 = 24.<br \/>\n3 \u00d7 9 = 27.<br \/>\n=&gt; 9 \u00d7 3 = 27.<br \/>\n3 \u00d7 10 = 30.<br \/>\n= 10 \u00d7 3 = 30.<\/p>\n<p>Explanation:<br \/>\n3 \u00d7 0 = 0.<br \/>\n=&gt; 0 \u00d7 3 = 0.<br \/>\n3 \u00d7 1 = 3.<br \/>\n=&gt; 1 \u00d7 3 = 3.<br \/>\n3 \u00d7 2 = 6.<br \/>\n=&gt; 2 \u00d7 3 = 6.<br \/>\n3 \u00d7 3 = 9.<br \/>\n=&gt; 3 \u00d7 3 = 9.<br \/>\n3 \u00d7 4 = 12.<br \/>\n=&gt; 3 \u00d7 4 = 12.<br \/>\n3 \u00d7 5 = 15.<br \/>\n=&gt; 5\u00a0\u00d7 3 = 15.<br \/>\n3 \u00d7 6 = 18.<br \/>\n=&gt; 6 \u00d7 3 = 18.<br \/>\n3 \u00d7 7 = 21.<br \/>\n=&gt; 7 \u00d7 3 = 21.<br \/>\n3 \u00d7 8 = 24.<br \/>\n=&gt; 8 \u00d7 3 = 24.<br \/>\n3 \u00d7 9 = 27.<br \/>\n=&gt; 9 \u00d7 3 = 27.<br \/>\n3 \u00d7 10 = 30.<br \/>\n= 10 \u00d7 3 = 30.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 29.<br \/>\n<strong>Higher Order Thinking<\/strong> Show how you can use known facts to find 11 \u00d7 9. Explain how you chose the known facts.<br \/>\nAnswer:<br \/>\n11 \u00d7 9 = (6 \u00d7 9) + (5 \u00d7 9) = 66 + 33 = 99.<\/p>\n<p>Explanation:<br \/>\n11 \u00d7 9 = (6 \u00d7 9) + (5 \u00d7 9)<br \/>\n11 \u00d7 9 = 66 + 33<br \/>\n11 \u00d7 9 = 99.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Assessment Practice<br \/>\n<\/strong>Question 30.<br \/>\nWhich shows one way you could use properties of operations to find 7 \u00d7 2?<br \/>\nA. (5 \u00d7 2) + (2 \u00d7 2)<br \/>\nB. (7 + 2) + (7 + 2)<br \/>\nC. (7 \u00d7 2) \u00d7 2<br \/>\nD. 7 \u00d7 (2 \u00d7 2)<br \/>\nAnswer:<br \/>\nA. (5 \u00d7 2) + (2 \u00d7 2) is one way you could use properties of operations to find 7 \u00d7 2.<\/p>\n<p>Explanation:<br \/>\n7 \u00d7 2 = (5 \u00d7 2) + (2 \u00d7 2)<br \/>\n7 \u00d7 2 = 10 + 4<br \/>\n7 \u00d7 2 = 14.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 31.<br \/>\nWhich multiplication equation could you use to help find 40 \u00f7 8 = \u2610?<br \/>\nA. 55 = 25<br \/>\nB. 8 \u00d7 8 = 64<br \/>\nC. 1 \u00d7 8 = 8<br \/>\nD. 8 \u00d7 5 = 40<br \/>\nAnswer:<br \/>\nD. 8 \u00d7 5 = 40 multiplication equation could you use to help find 40 \u00f7 8 = \u2610.<\/p>\n<p>Explanation:<br \/>\n40 \u00f7 8 = ??<br \/>\n40 \u00f7 8 = 5.<br \/>\n=&gt; 8 \u00d7 5 = 40.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Lesson 5.4 Solve Word Problems: Multiplication and Division Facts<\/h3>\n<p><strong>Solve &amp; Share<\/strong><br \/>\nAt the Fall Fest parade, members of the Cat Lovers Club and the Dog Lovers Club will march in equal rows. There will be 6 members in each row. How many rows of dog lovers will march in the parade? How many total cat lovers will march in the parade? Complete the table.<br \/>\nI can &#8230; use strategies to solve word problems that involve multiplication and division.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6898\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-40.png\" alt=\"Envision Math Common Core 3rd Grade Answer Key Topic 5 Fluently Multiply and Divide within 100 40\" width=\"478\" height=\"414\" \/><\/p>\n<p>Look Back! What operations did you use to solve the problem? Explain your reasoning.<br \/>\nAnswer:<br \/>\nOperations used to solve the problem are multiplication and division.<br \/>\nNumber of rows of dog lovers in the parade = 4.<br \/>\nNumber of members of cat lovers in the parade = 30.<\/p>\n<p>Explanation:<br \/>\nNumber of members in each row = 6.<br \/>\nNumber of dog lovers in the parade = 24.<br \/>\nNumber of rows of dog lovers in the parade = Number of dog lovers in the parade \u00f7 Number of members in each row<br \/>\n= 24 \u00f7 6<br \/>\n= 4.<br \/>\nNumber of members in each row = 6.<br \/>\nNumber of rows of cat lovers given = 5.<br \/>\nNumber of members of cat lovers in the parade = Number of rows of cat lovers given \u00d7 Number of members in each row<br \/>\n= 5 \u00d7 6<br \/>\n= 30.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17303\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.4-Solve-Word-Problems-Multiplication-and-Division-Facts.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.4 Solve Word Problems- Multiplication and Division Facts\" width=\"630\" height=\"554\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Solve Word Problems Using Multiplication and Division?<br \/>\nAnswer:<br \/>\nWe can solve Word Problems Using Multiplication and Division by using a repeated method of finding what is asked, by using the data given and finding the correct solution of the problem.<\/p>\n<p>Explanation:<br \/>\nWe can solve Word Problems Using Multiplication and Division by using a repeated method step-by-step of finding what is asked, by using the data given and finding the correct solution of the problem.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Visual Learning Bridge<\/strong><br \/>\nGina has 45 hats. She is packing them by putting 9 hats in each of several boxes. How many boxes will she fill?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6899\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-41.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 41\" width=\"670\" height=\"238\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-6900\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-42.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 42\" width=\"255\" height=\"290\" \/><\/p>\n<p><strong>One Way<\/strong><br \/>\nThink: 45 divided by what number equals 9?<br \/>\n45 \u00f7 5 = 9<br \/>\nThere are 5 groups of 9 in 45.<br \/>\nGina can divide 45 hats into 5 boxes of 9 hats each.<\/p>\n<p><strong>Another Way<\/strong><br \/>\nYou can use a related fact.<br \/>\nThink: 9 times what number equals 45?<br \/>\n9 \u00d7 5 = 45<br \/>\nSo, 45 \u00f7 9 = 5.<br \/>\nGina can divide 45 hats into 5 boxes of 9 hats each.<\/p>\n<p>Convince Me! Generalize Krys has 42 hats. She puts 6 hats in each of several boxes. Can you find how many boxes she needs using the same strategies as in the example above? Explain.<br \/>\nAnswer:<br \/>\nNumber of boxes she needs = 7.<\/p>\n<p>Explanation:<br \/>\nNumber of hats Krys has = 42.<br \/>\nNumber of hats in each box she puts = 6.<br \/>\nNumber of boxes she needs = Number of hats Krys has \u00f7 Number of hats in each box she puts<br \/>\n= 42 \u00f7 6<br \/>\n= 7.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Guided Practice<br \/>\n<\/strong><strong>Do You Understand?<\/strong><br \/>\nQuestion 1.<br \/>\nWhy can you use division to model the problem on the previous page?<br \/>\nAnswer:<br \/>\nWe can use division to model the problem on the previous page because according to given data, the required solution is only found by using division method.<\/p>\n<p>Explanation:<br \/>\nWe can use division to model the problem on the previous page because according to given data, the required solution is only found by using division method.<br \/>\nNumber of boxes she needs = Number of hats Krys has \u00f7 Number of hats in each box she puts<\/p>\n<p>&nbsp;<\/p>\n<p>Question 2.<br \/>\nCasey gives 27 stickers to 3 friends. She writes the equation 27 \u00f7 3 = 9. What does the 9 represent in this problem?<br \/>\nAnswer:<br \/>\nNumber of stickers she gives to each friend = 9.<\/p>\n<p>Explanation:<br \/>\nNumber of stickers Casey gives = 27.<br \/>\nNumber of friends she gives = 3.<br \/>\nNumber of stickers she gives to each friend = Number of stickers Casey gives \u00f7 Number of friends she gives<br \/>\n= 27 \u00f7 3<br \/>\n= 9.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Do You Know How?<\/strong><br \/>\nIn 3, represent the problem with an equation or a bar diagram. Then solve.<br \/>\nQuestion 3.<br \/>\nA checkerboard has 64 squares. It has 8 rows. How many columns does it have?<br \/>\nAnswer:<br \/>\nNumber of columns a checkerboard has = 8.<\/p>\n<p>Explanation:<br \/>\nNumber of squares a checkerboard has = 64 .<br \/>\nNumber of rows a\u00a0checkerboard has = 8.<br \/>\nNumber of columns a checkerboard has = Number of squares a checkerboard has \u00f7 Number of rows a\u00a0checkerboard has<br \/>\n= 64 \u00f7 8<br \/>\n= 8.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Independent Practice<br \/>\n<\/strong>In 4 and 5, draw a bar diagram to represent the problem. Then solve.<br \/>\nQuestion 4.<br \/>\nThere are 5 pancakes in a stack. Elise makes 40 pancakes. How many stacks does Elise make?<br \/>\nAnswer:<br \/>\nNumber of stacks Elise makes = 8.<\/p>\n<p>Explanation:<br \/>\nNumber of pancakes in a stack = 5.<br \/>\nNumber of pancakes Elise makes = 40.<br \/>\nNumber of stacks Elise makes = Number of pancakes Elise makes \u00f7 Number of pancakes in a stack<br \/>\n= 40 \u00f7 5<br \/>\n= 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17304\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.4-Solve-Word-Problems-Multiplication-and-Division-Facts-Independent-Practice-4.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.4 Solve Word Problems- Multiplication and Division Facts-Independent Practice-4\" width=\"333\" height=\"135\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 5.<br \/>\nA park has 4 swing sets. Each of the sets has 7 swings. How many swings are in the park?<br \/>\nAnswer:<br \/>\nNumber of swings are in the park = 28.<\/p>\n<p>Explanation:<br \/>\nNumber of swing sets a park has = 4.<br \/>\nNumber of swings in each set = 7.<br \/>\nNumber of swings are in the park = Number of swing sets a park has \u00d7 Number of swings in each set<br \/>\n= 4 \u00d7 7<br \/>\n= 28.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17305\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.4-Solve-Word-Problems-Multiplication-and-Division-Facts-Independent-Practice-5.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.4 Solve Word Problems- Multiplication and Division Facts-Independent Practice-5\" width=\"284\" height=\"155\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>In 6 and 7, write an equation with an unknown to represent the problem. Then solve.<br \/>\nQuestion 6.<br \/>\nMrs. Jameson plants 30 tulips in rows. Each row has 6 tulips. How many rows did Mrs. Jameson plant?<br \/>\nAnswer:<br \/>\nNumber of rows Mrs. Jameson plants = 5.<\/p>\n<p>Explanation:<br \/>\nNumber of tulips in rows Mrs. Jameson plants = 30.<br \/>\nNumber of tulips in each row = 6.<br \/>\nNumber of rows Mrs. Jameson plants = Number of tulips in rows Mrs. Jameson plants \u00f7 Number of tulips in each row<br \/>\n= 30 \u00f7 6<br \/>\n= 5.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 7.<br \/>\nBonnie buys 6 paperback books every month. She buys 2 hardcover books every month. How many books does she buy in 4 months?<br \/>\nAnswer:<br \/>\nTotal number of books she buys in 4 months = 32.<\/p>\n<p>Explanation:<br \/>\nNumber of paperback books every month Bonnie buys = 6.<br \/>\nNumber of hardcover books every month Bonnie buys = 2.<br \/>\nTotal number of books she buys in 4 months = 4 ( Number of paperback books every month Bonnie buys\u00a0 + Number of hardcover books every month Bonnie buys)<br \/>\n= 4 ( 6 + 2)<br \/>\n= 4 \u00d7 8<br \/>\n= 32.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Problem Solving<br \/>\n<\/strong>Question 8.<br \/>\nJodie has 24 flowers in her garden. She wants to give an equal number of flowers to 4 families in her neighborhood. How many flowers will each family get? Complete the bar diagram and write an equation to help solve this problem.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6901\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-43.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 43\" width=\"306\" height=\"79\" \/><br \/>\nAnswer:<br \/>\nNumber of flowers each family gets = 6.<\/p>\n<p>Explanation:<br \/>\nNumber of flowers in her garden Jodie has = 24.<br \/>\nNumber of families she want to give flowers equally = 4.<br \/>\nNumber of flowers each family gets = Number of flowers in her garden Jodie has \u00f7 Number of families she want to give flowers equally<br \/>\n= 24 \u00f7 4<br \/>\n= 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17306\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.4-Solve-Word-Problems-Multiplication-and-Division-Facts-Problem-Solving-8.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.4 Solve Word Problems-Multiplication and Division Facts-Problem Solving-8\" width=\"403\" height=\"151\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Question 9.<br \/>\nModel with Math Casey has 2 sisters. He gave each sister 2 pages of stickers. Each page had 9 stickers on it. How many stickers did Casey give in all? Explain what math you used to solve.<br \/>\nAnswer:<br \/>\nTotal number of stickers Casey give in all = 18.<br \/>\nMath used to solve the problem is multiplication.<\/p>\n<p>Explanation:<br \/>\nNumber of stickers Model with Math Casey has = 2.<br \/>\nNumber of pages of stickers he gave each sister = 2.<br \/>\nNumber of stickers each page has = 9.<br \/>\nTotal number of stickers Casey give in all = Number of pages of stickers he gave each sister \u00d7 Number of stickers each page has<br \/>\n= 2 \u00d7 9<br \/>\n= 18.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 10.<br \/>\nWrite the fact family for each fact: 6 \u00d7 0, 6 \u00d7 1, 6 \u00d7 2, 6 \u00d7 3, 6 \u00d7 4, 6 \u00d7 5, 6 \u00d7 6, 6 \u00d7 7, 6 \u00d7 8, 6 \u00d7 9, and 6 \u00d7 10.<br \/>\nAnswer:<br \/>\nFact family:<br \/>\n6 \u00d7 0 = 0.<br \/>\n=&gt; 0 \u00d7 6 = 0.<br \/>\n6 \u00d7 1 = 6.<br \/>\n=&gt; 1\u00a0\u00d7 6 = 6.<br \/>\n6 \u00d7 2 = 12.<br \/>\n=&gt; 2\u00a0\u00d7 6 = 12.<br \/>\n6 \u00d7 3 = 18.<br \/>\n=&gt; 3 \u00d7 6 = 18.<br \/>\n6 \u00d7 4 = 24.<br \/>\n=&gt; 4 \u00d7 6 = 24.<br \/>\n6 \u00d7 5 = 30.<br \/>\n=&gt; 5 \u00d7 6 = 30.<br \/>\n6 \u00d7 6 = 36.<br \/>\n=&gt; 6 \u00d7 6 = 36.<br \/>\n6 \u00d7 7 = 42.<br \/>\n=&gt; 7\u00a0\u00d7 6= 42.<br \/>\n6 \u00d7 8 = 48.<br \/>\n=&gt; 8\u00a0\u00d7 6 = 48.<br \/>\n6 \u00d7 9 = 54.<br \/>\n=&gt; 9\u00a0\u00d7 6 = 54.<br \/>\n6 \u00d7 10 = 60.<br \/>\n=&gt; 10\u00a0\u00d7 6= 60.<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 0 = 0.<br \/>\n=&gt; 0 \u00d7 6 = 0.<br \/>\n6 \u00d7 1 = 6.<br \/>\n=&gt; 1\u00a0\u00d7 6 = 6.<br \/>\n6 \u00d7 2 = 12.<br \/>\n=&gt; 2\u00a0\u00d7 6 = 12.<br \/>\n6 \u00d7 3 = 18.<br \/>\n=&gt; 3 \u00d7 6 = 18.<br \/>\n6 \u00d7 4 = 24.<br \/>\n=&gt; 4 \u00d7 6 = 24.<br \/>\n6 \u00d7 5 = 30.<br \/>\n=&gt; 5 \u00d7 6 = 30.<br \/>\n6 \u00d7 6 = 36.<br \/>\n=&gt; 6 \u00d7 6 = 36.<br \/>\n6 \u00d7 7 = 42.<br \/>\n=&gt; 7\u00a0\u00d7 6= 42.<br \/>\n6 \u00d7 8 = 48.<br \/>\n=&gt; 8\u00a0\u00d7 6 = 48.<br \/>\n6 \u00d7 9 = 54.<br \/>\n=&gt; 9\u00a0\u00d7 6 = 54.<br \/>\n6 \u00d7 10 = 60.<br \/>\n=&gt; 10\u00a0\u00d7 6= 60.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 11.<br \/>\n<strong>Higher Order Thinking<\/strong> Twenty-five students are working in groups on a science project. Each group can have either 2 or 3 students in it. What is the fewest number of groups there could be?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6902\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-44.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 44\" width=\"295\" height=\"127\" \/><br \/>\nAnswer:<br \/>\nNumber of students in each group of 2 is the fewest number of groups than Number of students in each group of 3.<\/p>\n<p>Explanation:<br \/>\nNumber of students are working in groups on a science project = 25.<br \/>\nNumber of students in each group = 2.<br \/>\nNumber of groups = Number of students are working in groups on a science project \u00d7 Number of students in each group<br \/>\n= 25 \u00d7 2<br \/>\n= 50.<br \/>\nNumber of students are working in groups on a science project = 25.<br \/>\nNumber of students in each group = 3.<br \/>\nNumber of groups = Number of students are working in groups on a science project \u00d7 Number of students in each group<br \/>\n= 25 \u00d7 3<br \/>\n= 75.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Assessment Practice<br \/>\n<\/strong>Question 12.<br \/>\nEight vans are going to the zoo. There are 6 children in each van. How many children are going to the zoo?<br \/>\nSelect numbers and an operation from the box to complete an equation that could be used to answer the problem. Then solve the equation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6903\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-45.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 45\" width=\"307\" height=\"114\" \/><br \/>\nAnswer:<br \/>\nNumber of children going to the zoo = 48.<\/p>\n<p>Explanation:<br \/>\nNumber of vans going to the zoo = 8.<br \/>\nNumber of children in each van = 6.<br \/>\nNumber of children going to the zoo = Number of vans going to the zoo \u00d7 Number of children in each van<br \/>\n= 8 \u00d7 6<br \/>\n= 48.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17308\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.4-Solve-Word-Problems-Multiplication-and-Division-Facts-Assessment-Practice-12.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.4 Solve Word Problems-Multiplication and Division Facts-Assessment Practice-12\" width=\"376\" height=\"194\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 13.<br \/>\nNinety children are going to a museum. Nine children can ride in each minibus. How many minibuses are needed? Select numbers and an operation from the box to complete an equation that could be used to answer the problem. Then solve the equation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6904\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-46.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 46\" width=\"296\" height=\"118\" \/><br \/>\nAnswer:<br \/>\nNumber of minibuses are needed = 10.<\/p>\n<p>Explanation:<br \/>\nNumber of children are going to a museum = 90.<br \/>\nNumber of children can ride in each minibus = 9.<br \/>\nNumber of minibuses are needed = Number of children are going to a museum \u00f7 Number of children can ride in each minibus<br \/>\n= 90 \u00f7 9<br \/>\n= 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17309\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.4-Solve-Word-Problems-Multiplication-and-Division-Facts-Problem-Solving-13.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.4 Solve Word Problems-Multiplication and Division Facts-Problem Solving-13\" width=\"391\" height=\"169\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Lesson 5.5 Write Multiplication and Division Math Stories<\/h3>\n<p><strong>Solve &amp; Share<\/strong><br \/>\nWrite a real-world division story for 28 \u00f7 4. Then write another real-world story that shows a different way to think about 28 \u00f7 4.<br \/>\nI can &#8230; write and solve math stories for multiplication and division equations.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6905\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-47.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 47\" width=\"230\" height=\"464\" \/><\/p>\n<p>Look Back! Draw a bar diagram and write an equation to represent and solve one of your division stories.<\/p>\n<p>Answer:<br \/>\nNumber of students in each bus = Total number of students in a school \u00f7 Number of buses<br \/>\n= 28 \u00f7 4<br \/>\n= 7.<\/p>\n<p>Explanation:<br \/>\nTotal number of students in a school = 28.<br \/>\nNumber of buses = 4.<br \/>\nNumber of students in each bus = Total number of students in a school \u00f7 Number of buses<br \/>\n= 28 \u00f7 4<br \/>\n= 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17693\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.5-Write-Multiplication-and-Division-Math-Stories.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.5 Write Multiplication and Division Math Stories\" width=\"262\" height=\"155\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Describe a Multiplication Fact?<br \/>\nAnswer:<br \/>\nA\u00a0multiplication fact is the answer to a multiplication calculation.<br \/>\nFor example, in the sum 3 x 3 = 9, the multiplication fact is 9<\/p>\n<p>Explanation:<br \/>\nThe repeated addition of the same number is expressed by multiplication in short. Hence, repeated addition of 2 five times is equal to 2 multiplied by 5. Thus, 3 \u00d7 6 = 18 that 3 multiplied by 6 is equal to 18, or 3 into 6 is equal to 18, or product of 3 and 6 is 18.\u00a0<b>3 \u00d7 6 = 18<\/b>\u00a0is called a multiplication fact<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Visual Learning Bridge<\/strong><br \/>\nWrite a multiplication story for 3 \u00d7 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6906\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-48.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 48\" width=\"694\" height=\"262\" \/><\/p>\n<p><strong>Equal Groups<\/strong><br \/>\nRandy has 3 packs of 6 buttons. How many buttons does he have?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6907\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-49.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 49\" width=\"209\" height=\"98\" \/><br \/>\n3 \u00d7 6 = 18<br \/>\nRandy has 18 buttons.<\/p>\n<p><strong>An Array<\/strong><br \/>\nEliza planted 6 lilies in each of 3 rows. How many lilies did she plant?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6908\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-50.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 50\" width=\"138\" height=\"75\" \/><br \/>\n3 \u00d7 6 = 18<br \/>\nEliza planted 18 lilies.<\/p>\n<p><strong>Bar Diagram<\/strong><br \/>\nA rabbit eats an equal amount of carrots each day for 3 days. If the rabbit eats 6 carrots each day, how many carrots does it eat in all?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6909\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-51.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 51\" width=\"195\" height=\"97\" \/><br \/>\n3 \u00d7 6 = 18<br \/>\nThe rabbit eats 18 carrots.<\/p>\n<p>Convince Me! Reasoning Write a multiplication story for 3 \u00d7 10 = \u2610.<br \/>\nAnswer:<br \/>\nNumber of buns he eats in all = Number of buns each day Rakesh eats \u00d7 Number of buns he eats each day<br \/>\n= 3 \u00d7 10<br \/>\n= 30.<\/p>\n<p>Explanation:<br \/>\nA Rakesh eats an equal amount of buns each day for 3 days. If the Rakesh eats 10 buns each day, how many buns does he eat in all?<br \/>\nNumber of buns each day Rakesh eats = 3.<br \/>\nNumber of buns he eats each day = 10.<br \/>\nNumber of buns he eats in all = Number of buns each day Rakesh eats \u00d7 Number of buns he eats each day<br \/>\n= 3 \u00d7 10<br \/>\n= 30.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Another Example!<\/strong><br \/>\nSeth has 15 fluid ounces of juice. Write and solve division . You can write a division stories about Seth and his juice. Use the equation story about &#8220;How many are 15 \u00f7 3 = ?.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6910\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-52.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 52\" width=\"229\" height=\"266\" \/><br \/>\nHow many in each group?<br \/>\nSeth has 15 fluid ounces of juice. He pours an equal amount of juice into 3 containers. How many fluid ounces of juice are in each container?<br \/>\n15 \u00f7 3 = 5 fluid ounces How many groups are there?<\/p>\n<p>How many groups are there?<br \/>\nSeth has 15 fluid ounces of juice. He wants to pour 3 fluid ounces of juice into each container. How many containers does Seth need?<br \/>\n15 \u00f7 3 = 5 containers<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Guided Practice<br \/>\n<\/strong><strong>Do You Understand?<\/strong><br \/>\nQuestion 1.<br \/>\nWhen you write a division story, what two pieces of information do you need to include?<br \/>\nAnswer:<br \/>\nFor writing any division story, the two pieces of information required are total number n each part about what the problem is mandatory.<\/p>\n<p>Explanation:<br \/>\nFor writing any division story, the two pieces of information required are total number n each part about what the problem is mandatory.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Do You Know How?<\/strong><br \/>\nIn 2 and 3, write a story for the equation. Then solve.<br \/>\nQuestion 2.<br \/>\n3 \u00d7 5 = ________<br \/>\nAnswer:<br \/>\nMimi has 15 container of fluid ounces of juice. She wants to pour 3 fluid ounces of juice into each container. How many containers does Mimi has ?<br \/>\n3 \u00d7 5 = __15______.<\/p>\n<p>Explanation:<br \/>\nMimi has 5 container of fluid ounces of juice. She wants to pour 3 fluid ounces of juice into each container. How many containers does Mimi has ?<br \/>\nNumber of fluid ounces of juice Mimi wants to pour into each container = 3.<br \/>\nNumber of container Mimi has = 5.<br \/>\nNumber of fluid ounces of juice Mimi has = Number of fluid ounces of juice Mimi wants to pour into each container \u00d7\u00a0 Number of container Mimi has<br \/>\n= 3 \u00d7 5<br \/>\n= 15.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 3.<br \/>\n8 \u00f7 4 = ________<br \/>\nAnswer:<br \/>\nMia has 8 books. She puts books equally into 4 boxes. How many books are in each box?<br \/>\n8 \u00f7 4 = ___2_____.<\/p>\n<p>Explanation:<br \/>\nMia has 8 books. She puts books equally into 4 boxes. How many books are in each box?<br \/>\nNumber of books Mia has = 8.<br \/>\nNumber of boxes she puts the books = 4.<br \/>\nNumber of books are in each box = Number of books Mia has \u00f7 Number of boxes she puts the books<br \/>\n= 8 \u00f7 4<br \/>\n= 2.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Independent Practice<br \/>\n<\/strong>In 4-7, write a story for each equation. Then solve.<br \/>\nQuestion 4.<br \/>\n7 \u00d7 3 = _______<br \/>\nAnswer:<br \/>\nMimi has 5 container of fluid ounces of oil. She wants to pour 3 fluid ounces of oil into each container. How many containers does Mimi has ?<br \/>\n7 \u00d7 3 = __21_____.<\/p>\n<p>Explanation:<br \/>\nMimi has 5 container of fluid ounces of oil. She wants to pour 3 fluid ounces of oil into each container. How many containers does Mimi has ?<br \/>\nNumber of fluid ounces of oil Mimi wants to pour into each container = 3.<br \/>\nNumber of container Mimi has = 7.<br \/>\nNumber of fluid ounces of oil Mimi has = Number of fluid ounces of oil Mimi wants to pour into each container \u00d7\u00a0 Number of container Mimi has<br \/>\n= 3 \u00d7 7<br \/>\n= 21.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 5.<br \/>\n5 \u00d7 5 = ________<br \/>\nAnswer:<br \/>\nMoni has 5 packets of chocolates. She wants to put 5 packets of chocolates into each container. How many containers does Moni has ?<br \/>\n5 \u00d7 5 = ___25_____.<\/p>\n<p>Explanation:<br \/>\nMoni has 5 packets of chocolates. She wants to put 5 packets of chocolates into each container. How many containers does Moni has ?<br \/>\nNumber of packets of chocolates Moni wants to put into each container = 5.<br \/>\nNumber of container Mimi has = 5.<br \/>\nNumber of packets of chocolates Moni has = Number of packets of chocolates Moni wants to put into each container \u00d7\u00a0 Number of container Moni has<br \/>\n= 5 \u00d7 5<br \/>\n= 25..<\/p>\n<p>&nbsp;<\/p>\n<p>Question 6.<br \/>\n18 \u00f7 3 = ________<br \/>\nI will write about 18 __________<br \/>\nI will put them in 3 equal groups.<br \/>\nAnswer:<br \/>\n18 \u00f7 3 = ___6_____.<\/p>\n<p>Explanation:<br \/>\n18 \u00f7 3 = ___6_____.<br \/>\nI will write about 18\u00a0 biscuits packets.<br \/>\nI will put them in 3 equal groups.<br \/>\nEach group 6.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 7.<br \/>\n14 \u00f7 ____ = 2<br \/>\nI will write about 14<br \/>\nI will put them in groups of 2.<\/p>\n<p>Answer:<br \/>\n14 \u00f7 _7___ = 2.<\/p>\n<p>Explanation:<br \/>\n14 \u00f7 _7___ = 2.<br \/>\nI will write about 14 students.<br \/>\nI will put them in groups of 2.<br \/>\nStudents each group 7.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Problem Solving<br \/>\n<\/strong>Question 8.<br \/>\nReasoning Write a multiplication story about these pencils. Write an equation for your story.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6911\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-53.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 53\" width=\"343\" height=\"211\" \/><\/p>\n<p>Answer:<br \/>\nNumber of pencils kept in each group = Total number of pencils \u00f7 Number of groups equally they are kept<br \/>\n= 8 \u00f7 2<br \/>\n= 4.<\/p>\n<p>Explanation:<br \/>\nTotal number of pencils = 8.<br \/>\nNumber of groups equally they are kept = 2.<br \/>\nNumber of pencils kept in each group = Total number of pencils \u00f7 Number of groups equally they are kept<br \/>\n= 8 \u00f7 2<br \/>\n= 4.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 9.<br \/>\nWrite the fact family for each fact: 8 \u00d7 0, 8 \u00d7 1, 8 \u00d7 2, 8 \u00d7 3, 8 \u00d7 4, 8 \u00d7 5, 8 \u00d7 6, 8 \u00d7 7, 8 \u00d7 8, 8 \u00d7 9, and 8 \u00d7 10.<br \/>\nAnswer:<br \/>\nFact family:<br \/>\n8 \u00d7 0 = 0.<br \/>\n=&gt; 0 \u00d7 8 = 0.<br \/>\n8 \u00d7 1 = 8.<br \/>\n=&gt; 1 \u00d7 8 = 8.<br \/>\n8 \u00d7 2 = 16.<br \/>\n=&gt; 8 \u00d7 2 = 16.<br \/>\n8 \u00d7 3 = 24.<br \/>\n=&gt; 3 \u00d7 8 = 24.<br \/>\n8 \u00d7 4 = 32.<br \/>\n=&gt; 4 \u00d7 8 = 32.<br \/>\n8 \u00d7 5 = 40.<br \/>\n=&gt; 5 \u00d7 8 = 40.<br \/>\n8 \u00d7 6 = 48.<br \/>\n=&gt; 6 \u00d7 8 = 48.<br \/>\n8 \u00d7 7 = 56.<br \/>\n=&gt; 7 \u00d7 8 = 56.<br \/>\n8 \u00d7 8 = 64.<br \/>\n=&gt; 8 \u00d7 8 = 64.<br \/>\n8 \u00d7 9 = 72.<br \/>\n=&gt; 9 \u00d7 8 = 72.<br \/>\n8 \u00d7 10 = 80.<br \/>\n=&gt; 10\u00a0\u00d7 8= 80.<\/p>\n<p>Explanation:<br \/>\n8 \u00d7 0 = 0.<br \/>\n=&gt; 0 \u00d7 8 = 0.<br \/>\n8 \u00d7 1 = 8.<br \/>\n=&gt; 1 \u00d7 8 = 8.<br \/>\n8 \u00d7 2 = 16.<br \/>\n=&gt; 8 \u00d7 2 = 16.<br \/>\n8 \u00d7 3 = 24.<br \/>\n=&gt; 3 \u00d7 8 = 24.<br \/>\n8 \u00d7 4 = 32.<br \/>\n=&gt; 4 \u00d7 8 = 32.<br \/>\n8 \u00d7 5 = 40.<br \/>\n=&gt; 5 \u00d7 8 = 40.<br \/>\n8 \u00d7 6 = 48.<br \/>\n=&gt; 6 \u00d7 8 = 48.<br \/>\n8 \u00d7 7 = 56.<br \/>\n=&gt; 7 \u00d7 8 = 56.<br \/>\n8 \u00d7 8 = 64.<br \/>\n=&gt; 8 \u00d7 8 = 64.<br \/>\n8 \u00d7 9 = 72.<br \/>\n=&gt; 9 \u00d7 8 = 72.<br \/>\n8 \u00d7 10 = 80.<br \/>\n=&gt; 10\u00a0\u00d7 8= 80.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 10.<br \/>\nA soccer team traveled to a game in 4 vans. Each van held 6 players. Two of the players are goalkeepers. How many of the players are not goalkeepers?<br \/>\nAnswer:<br \/>\nNumber of players are not goalkeepers = 22.<\/p>\n<p>Explanation:<br \/>\nNumber of vans soccer team traveled to a game = 4.<br \/>\nNumber of players in each van = 6.<br \/>\nNumber of players are goalkeepers = 2.<br \/>\nNumber of soccer team players traveled to a game = Number of vans soccer team traveled to a game \u00d7 Number of players in each van<br \/>\n= 4 \u00d7 6<br \/>\n= 24.<br \/>\nNumber of players are not goalkeepers = Number of soccer team players traveled to a game &#8211; Number of players are goalkeepers<br \/>\n= 24 &#8211; 2<br \/>\n= 2.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 11.<br \/>\n<strong>Higher Order Thinking<\/strong> A group of 9 monarch butterflies is getting ready to migrate. Write a multiplication story involving this group. Explain what fact you are using and find the product.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6912\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-54.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 54\" width=\"354\" height=\"235\" \/><\/p>\n<p>Answer:<br \/>\nNumber of wings and legs monarch butterfly has = 90.<br \/>\nMultiplication fact is used to find the product.<\/p>\n<p>Explanation:<br \/>\nNumber of bright orange wings each monarch butterfly has = 4.<br \/>\nNumber of legs each monarch butterfly has = 6.<br \/>\nTotal number of monarch butterfly = 9.<br \/>\nNumber of wings and legs monarch butterfly has = Total number of monarch butterfly (Number of bright orange wings each monarch butterfly has + Number of legs each monarch butterfly has)<br \/>\n= 9(4 + 6)<br \/>\n= 9 \u00d7 10<br \/>\n= 90.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Assessment Practice<br \/>\n<\/strong>Question 12.<br \/>\nMary writes the following story for 72 \u00f7 9 = ?.<br \/>\nThere are 72 marbles separated into 9 equal groups. How many marbles are in each group? Select the correct answer for Mary&#8217;s story.<br \/>\nA. 7 marbles<br \/>\nB. 8 marbles<br \/>\nC. 9 marbles<br \/>\nD. 10 marbles<br \/>\nAnswer:<br \/>\nNumber of marbles in each group = 8.<br \/>\nB. 8 marbles.<\/p>\n<p>Explanation:<br \/>\nTotal number of marbles = 72.<br \/>\nNumber of groups = 9.<br \/>\nNumber of marbles in each group = Total number of marbles \u00f7 Number of groups<br \/>\n= 72 \u00f7 9<br \/>\n= 8.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 13.<br \/>\nChris writes the following story for 4 \u00d7 10 = ?.<br \/>\nThere are 4 pieces of wood set end to end to make a ramp. Each piece is 10 inches long. How long is the ramp? Select the correct answer for Chris&#8217;s story.<br \/>\nA. 4 inches<br \/>\nB. 10 inches<br \/>\nC. 20 inches<br \/>\nD. 40 inches<br \/>\nAnswer:<br \/>\nLength of the ramp = 40 inches.<br \/>\nD. 40 inches.<\/p>\n<p>Explanation:<br \/>\nNumber of pieces of wood set end to end to make a ramp = 4.<br \/>\nLength of each piece = 10 inches.<br \/>\nLength of the ramp = Number of pieces of wood set end to end to make a ramp \u00d7 Length of each piece<br \/>\n= 10 \u00d7 4<br \/>\n= 40 inches.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Lesson 5.6 Problem Solving<\/h3>\n<p><strong>Look For and Use Structure<\/strong><br \/>\n<strong>Solve &amp; Share<\/strong><br \/>\nJacob has started the pattern below. Fill in the blanks to make correct equations and continue the pattern. Explain your thinking.<br \/>\nI can &#8230; use the structure of multiplication and division to compare expressions.<br \/>\n6 \u00d7 1 = 3 \u00d7 2<br \/>\n6 \u00d7 2 = 3 \u00d7 4<br \/>\n6 \u00d7 3 = 3 \u00d7 \u2610<br \/>\n6 \u00d7 = 3 \u00d7 \u2610<br \/>\n\u2610 \u00d7 \u2610 = \u2610 \u00d7 \u2610<br \/>\nThinking Habits<br \/>\nBe a good thinker! These questions can help you.<\/p>\n<ul>\n<li>What patterns can I see and describe?<\/li>\n<li>How can I use the patterns to solve the problem?<\/li>\n<li>Can I see expressions and objects in different ways?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6913\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-55.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 55\" width=\"99\" height=\"124\" \/><\/li>\n<\/ul>\n<p>Look Back! Use Structure Jacob starts this new pattern. Fill in the blank to make the equation true. What do you notice about this pattern compared to the pattern above?<br \/>\n3 \u00d7 2 = 6 \u00d7 1<br \/>\n3 \u00d7 4 = 6 \u00d7 2<br \/>\n3 \u00d7 \u2610 = 6 \u00d7 3<br \/>\nAnswer:<br \/>\n3 \u00d7 6 = 6 \u00d7 3 = 18.<br \/>\nIt is noticed that from from equation to other there is a difference of 6.<\/p>\n<p>Explanation:<br \/>\n3 \u00d7 2 = 6 \u00d7 1<br \/>\n=&gt; 3 \u00d7 2 = 6 \u00d7 1 = 6.<br \/>\n3 \u00d7 4 = 6 \u00d7 2<br \/>\n=&gt; 3 \u00d7 4 = 6 \u00d7 2 = 12.<br \/>\n3 \u00d7 ?? = 6 \u00d7 3<br \/>\n=&gt; 3 \u00d7 ?? = 6 \u00d7 3 = 18<br \/>\n=&gt; 3 \u00d7 6 = 6 \u00d7 3 = 18.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Use the Structure of Mathematics?<br \/>\nAnswer:<br \/>\nThe Structure of Mathematics helps in understanding the problem in order to find the correct solution to the problem.<\/p>\n<p>Explanation:<br \/>\nIn mathematics, a structure is a\u00a0 set endowed with some additional features on the set. Often, the additional features are attached or related to the set, so as to provide it with some additional meaning or significance.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Visual Learning Bridge<\/strong><br \/>\nHow can you tell without computing whether the symbol &gt;, &lt;, or = should be placed in each circle below?<br \/>\n1. 4 \u00d7 5 \u00d7 2 \u25cb 4 \u00d7 3 \u00d7 5<br \/>\n2. 6 \u00d7 7 \u25cb 7 \u00d7 6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6914\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-56.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 56\" width=\"287\" height=\"242\" \/><br \/>\nWhat do I need to do to complete the task?<br \/>\nI need to compare the expressions. Instead of doing any calculations, I will look at the values of the factors in each expression.<\/p>\n<p>How can I make use of structure to solve this problem?<br \/>\nI can<\/p>\n<ul>\n<li>think about properties i know.<\/li>\n<li>look for patterns and use them as needed.<\/li>\n<\/ul>\n<p>Here&#8217;s my thinking<br \/>\nSome factors in the expressions are the same and some are different. I will use this to help me compare.<br \/>\n1. I know that I can group factors in any way, so I can rewrite one expression.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6915\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-57.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 57\" width=\"313\" height=\"88\" \/><br \/>\n2. I see the factors are the same on both sides. I know this means the products are the same.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6916\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-58.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 58\" width=\"130\" height=\"34\" \/><\/p>\n<p>Convince Me! Use Structure Dario says, &#8220;I can find 9 \u00d7 0 &lt; 3 \u00d7 1 without computing. I can think about properties that I know.\u201d What could he mean?<br \/>\nAnswer:<br \/>\nHe could mean:<br \/>\n1. He know that he can group factors in any way, so he can rewrite one expression.<br \/>\n2. He sees the factors are the same on both sides. He knows this means the products are the same.<\/p>\n<p>Explanation:<br \/>\nHe could mean:<br \/>\n1. He know that he can group factors in any way, so he can rewrite one expression.<br \/>\n2. He sees the factors are the same on both sides. He knows this means the products are the same.<br \/>\n9 \u00d7 0 &lt; 3 \u00d7 1<br \/>\n=&gt; 9 \u00d7 0 = 0.<br \/>\n=&gt; 3 \u00d7 1 = 3.<br \/>\nHence, 9 \u00d7 0 &lt; 3 \u00d7 1.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Guided Practice<br \/>\n<\/strong><strong>Use Structure<\/strong> Hakeem and Nicole each have 48 stickers. Hakeem shared his stickers among 8 friends. Nicole shared her stickers among 6 friends. These expressions show how Hakeem and Nicole shared their stickers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6917\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-59.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 59\" width=\"262\" height=\"354\" \/><br \/>\n48 \u00f7 8 \u25cb 48 \u00f7 6<\/p>\n<p>Question 1.<br \/>\nLook at the expressions. Explain how you can use what you see to compare without computing.<br \/>\nAnswer:<br \/>\n48 \u00f7 8 \u25cb 48 \u00f7 6<br \/>\n=&gt; 48 \u00f7 8 &lt; 48 \u00f7 6.<br \/>\nWe use this expression without computing in this way.<\/p>\n<p>Explanation:<br \/>\nTotal number of stickers Hakeem and Nicole each have = 48.<br \/>\nNumber of Hakeem shared his stickers = 8.<br \/>\nNumber of stickers each friend of Hakeem gets = Total number of stickers Hakeem and Nicole each have\u00a0 \u00f7 Number of Hakeem shared his stickers<br \/>\n= 48 \u00f7 8<br \/>\n= 6.<br \/>\nNumber of Nicole shared his stickers = 6.<br \/>\nNumber of stickers each friend of Nicole gets = Total number of stickers Hakeem and Nicole each have\u00a0 \u00f7 Number of Nicole shared his stickers<br \/>\n= 48 \u00f7 6<br \/>\n= 8.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 2.<br \/>\nWhose friends each received more stickers? Write the correct symbol &gt;, &lt;, or = in the circle above.<br \/>\nAnswer:<br \/>\nNumber of stickers each friend of Hakeem gets &lt; Number of stickers each friend of Nicole gets<br \/>\n=&gt; 6 &lt; 8.<\/p>\n<p>Explanation:<br \/>\nNumber of stickers each friend of Hakeem gets = Total number of stickers Hakeem and Nicole each have\u00a0 \u00f7 Number of Hakeem shared his stickers<br \/>\n= 48 \u00f7 8<br \/>\n= 6.<br \/>\nNumber of stickers each friend of Nicole gets = Total number of stickers Hakeem and Nicole each have\u00a0 \u00f7 Number of Nicole shared his stickers<br \/>\n= 48 \u00f7 6<br \/>\n= 8.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Independent Practice<\/strong> Use Structure Dan has saved $10 each week for 7 weeks. Misha has saved $7 each week for 9 weeks. These expressions show how they saved. 7 \u00d7 $10 \u25cb 9 \u00d7 $7<br \/>\nAnswer:<br \/>\nTotal amount Dan saved &gt; Total amount Misha saved.<br \/>\n7 \u00d7 $10 &gt; 9 \u00d7 $7.<\/p>\n<p>Explanation:<br \/>\nNumber of money Dan has saved each week = $10.<br \/>\nNumber of weeks he saved = 7.<br \/>\nTotal amount Dan saved = Number of money Dan has saved each week \u00d7 Number of weeks he saved<br \/>\n= $10 \u00d7 7<br \/>\n= $70.<br \/>\nNumber of money Misha has saved each week = $7.<br \/>\nNumber of weeks she saved = 9.<br \/>\nTotal amount Misha saved = Number of money Misha has saved each week \u00d7 Number of weeks he saved<br \/>\n= $7 \u00d7 9<br \/>\n= $63.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 3. Look at the expressions. Explain how you can use what you see to compare without computing. Answer:<br \/>\nWe can use what is seen to compare without computing is by this way: finding the total two sides and using the required symbol.<br \/>\n7 \u00d7 $10 &gt; 9 \u00d7 $7.<\/p>\n<p>Explanation:<br \/>\n7 \u00d7 $10 \u25cb 9 \u00d7 $7<br \/>\n=&gt; $70 &gt; $63.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 4. Who saved more money? Write the correct symbol &gt;, &lt;, or = in the circle above.<br \/>\nAnswer:<br \/>\nTotal amount Dan saved is more than the total amount Misha saved.<br \/>\n7 \u00d7 $10 &gt; 9 \u00d7 $7.<\/p>\n<p>Explanation:<br \/>\nTotal amount Dan saved = $70.<br \/>\nTotal amount Misha saved = $63.<br \/>\n7 \u00d7 $10 &gt; 9 \u00d7 $7.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 5.<br \/>\nCan you use the same symbol you wrote in Exercise 4 to compare $10 \u00d7 7 and $7 \u00d7 9? Explain.<br \/>\nAnswer:<br \/>\nYes, we can the same symbol written in Exercise 4 to compare $10 \u00d7 7 and $7 \u00d7 9.<br \/>\n$10 \u00d7 7 &gt; $7 \u00d7 9.<\/p>\n<p>Explanation:<br \/>\n$10 \u00d7 7 and $7 \u00d7 9<br \/>\n$10 \u00d7 7 = $70.<br \/>\n$7 \u00d7 9 = $63.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Problem Solving<br \/>\n<\/strong><strong>Performance Task<\/strong><br \/>\nSelling Necklaces Trina wants to find the least expensive way to buy 24 necklaces. She wants to buy only the same type of packages. She has $48. The table shows the number of necklaces in a package and the cost of each package.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6918\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-60.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 60\" width=\"324\" height=\"176\" \/><\/p>\n<p>Question 6.<br \/>\nModel with Math Complete the table to find the number of packages Trina would need to buy.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17718\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.6-Problem-Solving-Problem-Solving-Performance-Task.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.6 Problem Solving-Problem Solving-Performance Task\" width=\"392\" height=\"225\" \/><\/p>\n<p>Explanation:<br \/>\nNumber of packages Trina want to buy = 24.<br \/>\n<img src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson-5.6-Problem-Solving-Problem-Solving-Performance-Task.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Lesson 5.6 Problem Solving-Problem Solving-Performance Task\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Question 7.<br \/>\n<strong>Use Structure<\/strong> Trina can use 8 \u00d7 $4 to find the cost of enough $4 packages. Write a similar expression that shows a way to find how much it costs Trina to buy enough $5 packages.<br \/>\nAnswer:<br \/>\nTotal cost needed to buy for Trina = $120.<\/p>\n<p>Explanation:<br \/>\nNumber of packages Trina want to buy = 24.<br \/>\nCost of each package = $5.<br \/>\nTotal cost needed to buy for Trina = Number of packages Trina want to buy \u00d7 Cost of each package<br \/>\n= 24 \u00d7 $5<br \/>\n= $120.<\/p>\n<p>Write a similar expression that shows a way to find how much it costs Trina to buy enough $6 packages.<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-6919\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-61.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 61\" width=\"236\" height=\"480\" \/><\/p>\n<p>Answer:<br \/>\nTotal cost needed to buy for Trina = $144.<\/p>\n<p>Explanation:<br \/>\nNumber of packages Trina want to buy = 24.<br \/>\nCost of each package = $6.<br \/>\nTotal cost needed to buy for Trina = Number of packages Trina want to buy \u00d7 Cost of each package<br \/>\n= 24 \u00d7 $6<br \/>\n= $144.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 8.<br \/>\n<strong>Make Sense and Persevere<\/strong> Compare the cost of buying the $5 packages to the $6 packages. Which package type costs less if Trina wants to buy 24 necklaces? Explain how to solve without computing.<br \/>\nAnswer:<br \/>\nTotal cost needed to buy enough $5 packages for Trina is less than the Total cost needed to buy enough $6 packages for Trina<br \/>\n$120 &lt; $144.<\/p>\n<p>Explanation:<br \/>\nTotal cost needed to buy enough $5 packages for Trina = $120.<br \/>\nTotal cost needed to buy enough $6 packages for Trina = $144.<br \/>\n=&gt; $120 &lt; $144.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 9.<br \/>\n<strong>Construct Arguments<\/strong> Compare the costs of buying the $4 packages to the $6 packages. Which package type costs less if Trina wants to buy 24 necklaces? Explain how to solve without computing.<\/p>\n<p>Answer:<br \/>\nTotal cost needed to buy enough $4 packages for Trina is less than the Total cost needed to buy enough $6 packages for Trina<br \/>\n$96&lt; $144.<\/p>\n<p>Explanation:<br \/>\nNumber of packages Trina want to buy = 24.<br \/>\nCost of each package = $4.<br \/>\nTotal cost needed to buy for Trina = Number of packages Trina want to buy \u00d7 Cost of each package<br \/>\n= 24 \u00d7 $4<br \/>\n= $96.<br \/>\nNumber of packages Trina want to buy = 24.<br \/>\nCost of each package = $6.<br \/>\nTotal cost needed to buy for Trina = Number of packages Trina want to buy \u00d7 Cost of each package<br \/>\n= 24 \u00d7 $6<br \/>\n= $144.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Topic 5 Fluency Practice Activity<\/h3>\n<p><strong>Point &amp; Tally<\/strong><br \/>\nFind a partner. Get paper and a pencil. Each partner chooses a different color: light blue or dark blue.<\/p>\n<p>Partner 1 and Partner 2 each point to a black number at the same time. Both partners multiply those numbers.<\/p>\n<p>If the answer is on your color, you get a tally mark. Partners then write the remaining facts in the fact family. Work until one partner has seven tally marks.<br \/>\nI can &#8230; multiply and divide within 100.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6920\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-62.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 62\" width=\"519\" height=\"461\" \/><\/p>\n<p>Answer:<br \/>\n9 \u00d7 7 = 63.<br \/>\n5 \u00d7 4 = 20.<br \/>\n6 \u00d7 5 = 30.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17720\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic-5-Fluency-Practice-Activity-Point-Tally.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic 5 Fluency Practice Activity-Point &amp; Tally\" width=\"598\" height=\"543\" \/><\/p>\n<p>Explanation:<br \/>\n9 \u00d7 7 = 63.<br \/>\n5 \u00d7 4 = 20.<br \/>\n6 \u00d7 5 = 30.<br \/>\n8 \u00d7 6 = 48.<br \/>\n4 \u00d7 9 = 36.<br \/>\nThree are correct , tally marks are three.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Topic 5 Vocabulary Review<\/h3>\n<p><strong>Understand Vocabulary<\/strong><br \/>\nFor each of these terms, give an example and a non-example.<\/p>\n<p>Word List<\/p>\n<ul>\n<li>column<\/li>\n<li>equation<\/li>\n<li>even<\/li>\n<li>fact family<\/li>\n<li>odd<\/li>\n<li>row<\/li>\n<\/ul>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-6921\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-63.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 63\" width=\"492\" height=\"229\" \/><br \/>\nWrite always, sometimes, or never.<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17721\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic-5-Vocabulary-Review-Understand-Vocabulary.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic 5 Vocabulary Review-Understand Vocabulary\" width=\"575\" height=\"322\" \/><\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17721\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic-5-Vocabulary-Review-Understand-Vocabulary.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic 5 Vocabulary Review-Understand Vocabulary\" width=\"575\" height=\"322\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 5.<br \/>\nAn even number can __________ be divided by 2 with none left over.<br \/>\nAnswer:<br \/>\nAn even number can ____300______ be divided by 2 with none left over.<\/p>\n<p>Explanation:<br \/>\nAn even number can be divided by 2 with none left over:<br \/>\nall multiples of 2 number.<br \/>\nLike : 4, 50, 100, 3060, so on&#8230;.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 6.<br \/>\nA fact family _________ has odd numbers.<br \/>\nAnswer:<br \/>\nA fact family ____odd_____ has odd numbers.<\/p>\n<p>Explanation:<br \/>\nA fact family odd has odd numbers.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 7.<br \/>\nAn array _________ has the same number of rows and columns.<br \/>\nAnswer:<br \/>\nAn array ___square______ has the same number of rows and columns.<\/p>\n<p>Explanation:<br \/>\nAn array square has the same number of rows and columns.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 8.<br \/>\nThe product of an odd number times an odd number is ____________ an even number.<br \/>\nAnswer:<br \/>\nThe product of an odd number times an odd number is ____odd not________ an even number.<\/p>\n<p>Explanation:<br \/>\nThe product of an odd number times an odd number is odd not an even number.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Use Vocabulary in Writing<\/strong><br \/>\nQuestion 9.<br \/>\nExplain the pattern in the green squares. Use at least 2 terms from the Word List in your explanation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6922\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Topic-5-Fluently-Multiply-and-Divide-within-100-64.png\" alt=\"Envision Math Common Core 3rd Grade Answers Topic 5 Fluently Multiply and Divide within 100 64\" width=\"174\" height=\"141\" \/><br \/>\nAnswer:<br \/>\nThe pattern in the green squares:<br \/>\nodd \u00d7 odd = odd number.<\/p>\n<p>Explanation:<br \/>\nThe pattern in the green squares:<br \/>\n1 \u00d7 1 = 1.<br \/>\n1 \u00d7 3 = 3.<br \/>\n1 \u00d7 5 = 5.<br \/>\n3 \u00d7 1 = 3.<br \/>\n3 \u00d7 3 = 9.<br \/>\n3 \u00d7 5 = 15.<br \/>\n1 \u00d7 5 = 5.<br \/>\n3 \u00d7 5 = 15<br \/>\n5 \u00d7 5 = 25.<\/p>\n<p>&nbsp;<\/p>\n<h3>Topic 5 Reteaching<br \/>\n<strong>Set A pages 169-172<\/strong><\/h3>\n<p>You can see patterns in a multiplication table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6923\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-65.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 65\" width=\"336\" height=\"407\" \/><\/p>\n<p><strong>Remember<\/strong> that properties can help to explain patterns.<br \/>\nIn 1 and 2, use the multiplication table to answer the questions.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6924\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-66.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 66\" width=\"241\" height=\"190\" \/><br \/>\nQuestion 1.<br \/>\nFind the column that has products that are the sum of the green shaded numbers in each row. Shade this column.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17722\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic-5-Reteaching-Set-A-pages-169-172-1.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic 5 Reteaching-Set A pages 169-172-1\" width=\"300\" height=\"254\" \/><\/p>\n<p>Explanation:<br \/>\nColumn shaded in purple color has the products that are the sum of the green shaded numbers in each row.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 2.<br \/>\nExplain why this pattern is true.<br \/>\nAnswer:<br \/>\nYes, the pattern is true because the sum of the two green color numbers is equal to the number shaded in the same column.<\/p>\n<p>Explanation:<br \/>\nNumbers in green color:<br \/>\n1 + 6 = 7.<br \/>\n2 + 12 = 14.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Set B pages 173-176<\/strong><\/p>\n<p>Use a multiplication table to find 20 \u00f7 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6925\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-67.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 67\" width=\"217\" height=\"202\" \/><br \/>\nFind 4 in the first column of the table.<br \/>\nFollow the 4s row until you come to 20.<br \/>\nThen look to the top of that column to find the missing factor: 5. 20 \u00f7 4 = 5.<\/p>\n<p><strong>Remember<\/strong> how multiplication and division are related<\/p>\n<p>In 1-12, use the multiplication table to find each product or quotient.<br \/>\nQuestion 1.<br \/>\n2 \u00d7 7 = ______<br \/>\nAnswer:<br \/>\n2 \u00d7 7 = __14____.<\/p>\n<p>Explanation:<br \/>\n2 \u00d7 7 = 14. (product)<\/p>\n<p>&nbsp;<\/p>\n<p>Question 2.<br \/>\n5 \u00d7 8 = ________<br \/>\nAnswer:<br \/>\n5 \u00d7 8 = ___40_____.<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 8 = 40.(product)<\/p>\n<p>&nbsp;<\/p>\n<p>Question 3.<br \/>\n2 \u00d7 10 = _______<br \/>\nAnswer:<br \/>\n2 \u00d7 10 = ___20____.<\/p>\n<p>Explanation:<br \/>\n2 \u00d7 10 = 20.(product)<\/p>\n<p>&nbsp;<\/p>\n<p>Question 4.<br \/>\n5 \u00d7 4 = _______<br \/>\nAnswer:<br \/>\n5 \u00d7 4 = __20_____.<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 4 = 20.(product)<\/p>\n<p>&nbsp;<\/p>\n<p>Question 5.<br \/>\n3 \u00d7 5 = _____<br \/>\nAnswer:<br \/>\n3 \u00d7 5 = __15___.<\/p>\n<p>Explanation:<br \/>\n3 \u00d7 5 = 15.(product)<\/p>\n<p>&nbsp;<\/p>\n<p>Question 6.<br \/>\n6 \u00d7 5 = _______<br \/>\nAnswer:<br \/>\n6 \u00d7 5 = ___30____.<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 5 = 30.(product)<\/p>\n<p>&nbsp;<\/p>\n<p>Question 7.<br \/>\n63 \u00f7 9 = ______<br \/>\nAnswer:<br \/>\n63 \u00f7 9 = ___7___.(quotient)<\/p>\n<p>Explanation:<br \/>\n63 \u00f7 9 = 7.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 8.<br \/>\n56 \u00f7 8 = _______<br \/>\nAnswer:<br \/>\n56 \u00f7 8 = __7_____.<\/p>\n<p>Explanation:<br \/>\n56 \u00f7 8 = 7.(quotient)<\/p>\n<p>&nbsp;<\/p>\n<p>Question 9.<br \/>\n45 \u00f7 9 = _______<br \/>\nAnswer:<br \/>\n45 \u00f7 9 = __5_____.<\/p>\n<p>Explanation:<br \/>\n45 \u00f7 9 = 5.(quotient)<\/p>\n<p>&nbsp;<\/p>\n<p>Question 10.<br \/>\n40 \u00f7 8 = _______<br \/>\nAnswer:<br \/>\n40 \u00f7 8 = ___5____.<\/p>\n<p>Explanation:<br \/>\n40 \u00f7 8 = 5.(quotient)<\/p>\n<p>&nbsp;<\/p>\n<p>Question 11.<br \/>\n35 \u00f7 7 = _______<br \/>\nAnswer:<br \/>\n35 \u00f7 7 = __5_____.<\/p>\n<p>Explanation:<br \/>\n35 \u00f7 7 = 5.(quotient)<\/p>\n<p>&nbsp;<\/p>\n<p>Question 12.<br \/>\n36 \u00f7 6 = ______<br \/>\nAnswer:<br \/>\n36 \u00f7 6 = ___6___.<\/p>\n<p>Explanation:<br \/>\n36 \u00f7 6 = 6.(quotient)<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Set B, continued pages 173-176<\/strong><\/p>\n<p>You can use basic facts and properties to find missing numbers in a multiplication table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6926\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-68.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 68\" width=\"272\" height=\"238\" \/><br \/>\nUse multiplication or division to find missing factors.<br \/>\n42 \u00f7 7 = 6, so 7 \u00d7 6 = 42<br \/>\nUse strategies to find products.<br \/>\n3 \u00d7 5 = 15 4 \u00d7 5 = 20<br \/>\n5 \u00d7 5 = 25 6 \u00d7 5 = 30<br \/>\nSo, 7 \u00d7 5 = 35<\/p>\n<p><strong>Remember<\/strong> that you can use strategies and reasoning to find missing numbers.<\/p>\n<p>Use multiplication and division strategies to complete the multiplication table. Show your work.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6927\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-69.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 69\" width=\"274\" height=\"247\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17723\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Set-B-continued-pages-173-176.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Set B, continued pages 173-176\" width=\"351\" height=\"335\" \/><\/p>\n<p>Explanation:<br \/>\n? \u00d7 ? = 12.<br \/>\n=&gt; 3 \u00d7 4 = 12.<br \/>\n3 \u00d7 ? = ??.<br \/>\n=&gt; 3 \u00d7 7 = 21.<br \/>\n?? \u00d7 6 = 24.<br \/>\n=&gt; 4 \u00d7 6 = 24.<br \/>\n6 \u00d7 ?? = 24.<br \/>\n=&gt; 6 \u00d7 4 = 24.<br \/>\n7 \u00d7 ?? = 28.<br \/>\n=&gt; 7 \u00d7 4 = 28.<br \/>\n8 \u00d7 ?? = ??<br \/>\n=&gt; 8 \u00d7 7 = 56.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Set C pages 177-180<\/strong><\/p>\n<p>Find 4 \u00d7 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6928\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-70.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 70\" width=\"327\" height=\"145\" \/><br \/>\nYou can use skip counting: 7, 14, 21, 28<br \/>\nYou can use known facts:<br \/>\n2 \u00d7 7 = 14<br \/>\n4 \u00d7 7 = (2 \u00d7 7) + (2 \u00d7 7)<br \/>\n4 \u00d7 7 = 14 + 14 = 28<\/p>\n<p><strong>Remember<\/strong> that you can use patterns, known facts, or skip counting to find products.<\/p>\n<p>In 1-8, use strategies to find the product.<br \/>\nQuestion 1.<br \/>\n5 \u00d7 9 = ________<br \/>\nAnswer:<br \/>\n5 \u00d7 9 = ___45_____. (product)<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 9 = (3 \u00d7 9) + (2 \u00d7 9)<br \/>\n5 \u00d7 9 = 27 + 18<br \/>\n5 \u00d7 9 = 45.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 2.<br \/>\n8 \u00d7 10 = _______<br \/>\nAnswer:<br \/>\n8 \u00d7 10 = __80_____. (product)<\/p>\n<p>Explanation:<br \/>\n8 \u00d7 10 = (4 \u00d7 10) + (4 \u00d7 10)<br \/>\n8 \u00d7 10 = 40 + 40<br \/>\n8 \u00d7 10 = 80.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 3.<br \/>\n4 \u00d7 10 = ________<br \/>\nAnswer:<br \/>\n4 \u00d7 10 = ___40_____.<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 10 = (3 \u00d7 10) + (1 \u00d7 10)<br \/>\n4 \u00d7 10 = 30 + 10<br \/>\n4 \u00d7 10 = 40.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 4.<br \/>\n9 \u00d7 8 = ________<br \/>\nAnswer:<br \/>\n9 \u00d7 8 = ___72_____.<\/p>\n<p>Explanation:<br \/>\n9 \u00d7 8 = (5 \u00d7 8) + (4 \u00d7 8)<br \/>\n9 \u00d7 8 = 40 + 32<br \/>\n9 \u00d7 8 = 72.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 5.<br \/>\n6 \u00d7 9 = _______<br \/>\nAnswer:<br \/>\n6 \u00d7 9 = ___54____.<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 9 = (3 \u00d7 9) + (3 \u00d7 9)<br \/>\n6 \u00d7 9 = 27 + 27<br \/>\n6 \u00d7 9 = 54.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 6.<br \/>\n7 \u00d7 3 = _______<br \/>\nAnswer:<br \/>\n7 \u00d7 3 = __21_____.<\/p>\n<p>Explanation:<br \/>\n7 \u00d7 3 = (4 \u00d7 3) + (3 \u00d7 3)<br \/>\n7 \u00d7 3 = 12 + 9<br \/>\n7 \u00d7 3 = 21.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 7.<br \/>\n6 \u00d7 5 = ______<br \/>\nAnswer:<br \/>\n6 \u00d7 5 = __30____.<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 5 = (3 \u00d7 5) + (3 \u00d7 5)<br \/>\n6 \u00d7 5 = 15 + 15<br \/>\n6 \u00d7 5 = 30.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 8.<br \/>\n4 \u00d7 9 = _______<br \/>\nAnswer:<br \/>\n4 \u00d7 9 = ___36____.<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 9 = (2 \u00d7 9) + (2 \u00d7 9)<br \/>\n4 \u00d7 9 = 18 + 18<br \/>\n4 \u00d7 9 = 36.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Set D pages 181-184<\/strong><\/p>\n<p>You can solve word problems using multiplication and division.<br \/>\nAaron has 49 books. His bookcase has 7 shelves. He wants to display an equal number of books on each shelf. How many books can Aaron put on each shelf?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6929\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-71.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 71\" width=\"330\" height=\"142\" \/><br \/>\nYou can use a related multiplication fact:<br \/>\n7 \u00d7 7 = 49<br \/>\n49 \u00f7 7 = 7<br \/>\nAaron can put 7 books on each shelf.<\/p>\n<p><strong>Remember<\/strong> that multiplication and division use equal groups.<br \/>\nSolve each problem. Show your work.<br \/>\nQuestion 1.<br \/>\nOksana&#8217;s dad has 36 batteries in his desk drawer. The batteries come in packs of 4. How many packs of batteries does he have?<br \/>\nAnswer:<br \/>\nNumber of packs of batteries he has = 9.<\/p>\n<p>Explanation:<br \/>\nNumber of batteries in his desk drawer Oksana&#8217;s dad has = 36.<br \/>\nNumber of packs batteries came in = 4.<br \/>\nNumber of packs of batteries he has = Number of batteries in his desk drawer Oksana&#8217;s dad has \u00f7 Number of packs batteries came in<br \/>\n= 36 \u00f7 4<br \/>\n= 9.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 2.<br \/>\nEvery time Lee wins the ring toss at the carnival, he gets 3 prize tickets. Lee needs to win the ring toss 9 times to have enough prize tickets for 1 toy. How many prize tickets does Lee need for 2 toys?<br \/>\nAnswer:<br \/>\nNumber of prize tickets Lee needs to win for 2 toys = 27.<\/p>\n<p>Explanation:<br \/>\nNumber of prize tickets Lee gets = 3.<br \/>\nNumber of times Lee needs to win to get ring toss to have enough prize tickets for 1 toy = 9.<br \/>\nNumber of prize tickets Lee needs to win for 2 toys = Number of prize tickets Lee gets \u00d7 Number of times Lee needs to win to get ring toss to have enough prize tickets for 1 toy<br \/>\n= 3 \u00d7 9<br \/>\n= 27.<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Set E pages 185\u2013188<\/strong><\/p>\n<p>Write a multiplication story for 4 \u00d7 7.<br \/>\nYou can think of multiplication as equal groups.<br \/>\nTim has 4 bunches of flowers. Each bunch has 7 flowers. How many flowers does Tim have?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6930\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-72.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 72\" width=\"187\" height=\"166\" \/><br \/>\nTim has 28 flowers.<\/p>\n<p><strong>Remember<\/strong> that rows and columns can also represent multiplication.<br \/>\nWrite a multiplication story for each equation. Then solve.<br \/>\nQuestion 1.<br \/>\n3 \u00d7 9 = _______<br \/>\nAnswer:<br \/>\nNumber of nuts Mia has = Number of packets of nuts Mia has \u00d7 Number of nuts in each packet<br \/>\n=&gt; 3 \u00d7 9 = ___27____.<\/p>\n<p>Explanation:<br \/>\nMia has 3 packets of nuts. Each packet has 9 nuts. How many nuts does Mia have?<br \/>\nNumber of packets of nuts Mia has = 3.<br \/>\nNumber of nuts in each packet = 9.<br \/>\nNumber of nuts Mia has = Number of packets of nuts Mia has \u00d7 Number of nuts in each packet<br \/>\n= 3 \u00d7 9<br \/>\n= 27.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 2.<br \/>\n5 \u00d7 6 = ________<br \/>\nAnswer:<br \/>\nNumber of oranges John has = Number of packets of oranges John has \u00d7 Number of oranges in each packet<br \/>\n=&gt; 5 \u00d7 6 = ___30___.<\/p>\n<p>Explanation:<br \/>\nJohn has 5 packets of oranges. Each packet has 6 oranges. How many oranges does John have?<br \/>\nNumber of packets of oranges John has = 5.<br \/>\nNumber of oranges in each packet = 6.<br \/>\nNumber of oranges John has = Number of packets of oranges John has \u00d7 Number of oranges in each packet<br \/>\n= 5 \u00d7 6<br \/>\n= 30.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Set E, continued pages 185-188<\/strong><\/p>\n<p>Write a division story for 20 \u00f7 5.<br \/>\nIf 20 children form 5 equal teams, how many children are on each team?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6931\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-73.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 73\" width=\"186\" height=\"115\" \/><br \/>\n20 \u00f7 5 = 4<br \/>\nThere are 4 children on each team.<\/p>\n<p><strong>Remember<\/strong> that division stories can ask for the number in each group, or the number of equal groups.<\/p>\n<p>Write a division story for each equation. Then solve.<br \/>\nQuestion 1.<br \/>\n60 \u00f7 10 = _______<br \/>\nAnswer:<br \/>\nNumber of buses used = Number of students in the school \u00f7 Number of students in each bus<br \/>\n=&gt; 60 \u00f7 10 = 6.<\/p>\n<p>Explanation:<br \/>\nIn a school, there are 60 students. 10 Students go in each bus to picnic. How many buses are used for picnic.<br \/>\nNumber of students in the school = 60.<br \/>\nNumber of students in each bus = 10.<br \/>\nNumber of buses used = Number of students in the school \u00f7 Number of students in each bus<br \/>\n= 60 \u00f7 10<br \/>\n= 6.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 2.<br \/>\n32 \u00f7 4 = _______<br \/>\nAnswer:<br \/>\nNumber of students in each bus = Number of students in the school \u00f7 Number of buses used<br \/>\n=&gt; 32 \u00f7 4 = 8.<\/p>\n<p>Explanation:<br \/>\nIn a school, there are 32 students. 4 buses are used to go the zoo.\u00a0 How many Students go in each bus to zoo.<br \/>\nNumber of students in the school = 32.<br \/>\nNumber of buses used = 4.<br \/>\nNumber of students in each bus = Number of students in the school \u00f7 Number of buses used<br \/>\n= 32 \u00f7 4<br \/>\n= 8.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Set F pages 189-192<\/strong><\/p>\n<p>Think about these questions to help you look for and make use of structure.<br \/>\nThinking Habits<\/p>\n<ul>\n<li>What patterns can I see and describe?<\/li>\n<li>How can I use the patterns to solve the problem?<\/li>\n<li>Can I see expressions and objects in different ways?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6932\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-74.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 74\" width=\"142\" height=\"134\" \/><\/li>\n<\/ul>\n<p><strong>Remember<\/strong> that properties can help you understand patterns.<\/p>\n<p>Leroy earns $7 each hour that he works. He works for 8 hours. Rebecca earns $8 each hour that she works. She works for 7 hours. These expressions show the money they earned.<br \/>\n8 \u00d7 $7 \u25cb 7 \u00d7 $8<br \/>\nQuestion 1.<br \/>\nLook at the expressions. Explain how you can use what you see to compare without computing.<br \/>\nAnswer:<br \/>\nTotal amount earned by Leroy = $7 \u00d7 8 = $56.<br \/>\nTotal amount earned by Rebecca = $8 \u00d7 7 = $56.<br \/>\n8 \u00d7 $7 = 7 \u00d7 $8<br \/>\n= $56.<\/p>\n<p>Explanation:<br \/>\nAmount earned by Leroy for each hour = $7.<br \/>\nNumber of hours Leroy works = 8.<br \/>\nTotal amount earned by Leroy = Amount earned by Leroy for each hour \u00d7 Number of hours Leroy works<br \/>\n= $7 \u00d7 8<br \/>\n= $56.<br \/>\nAmount earned by Rebecca for each hour = $8.<br \/>\nNumber of hours Rebecca works = 7.<br \/>\nTotal amount earned by Rebecca = Amount earned by Rebecca for each hour \u00d7 Number of hours Rebecca works<br \/>\n= $8 \u00d7 7<br \/>\n= $56.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 2.<br \/>\nWho earned more money? Write the correct symbol &gt;, &lt;, or = in the circle above.<br \/>\nAnswer:<br \/>\nBoth the total amount earned by Leroy and the total amount earned by Rebecca are the same amount of $56.<br \/>\n=&gt; 8 \u00d7 $7 = 7 \u00d7 $8<br \/>\n=&gt; $56.<\/p>\n<p>Explanation:<br \/>\nTotal amount earned by Leroy = $7 \u00d7 8 = $56.<br \/>\nTotal amount earned by Rebecca = $8 \u00d7 7 = $56.<br \/>\nBoth Leroy and Rebecca earns the same amount $56.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<h3>Topic 5 Assessment Practice<\/h3>\n<p>Question 1.<br \/>\nFind 48 \u00f7 6.<br \/>\nAnswer:<br \/>\n48 \u00f7 6= 8.<\/p>\n<p>Explanation:<br \/>\n48 \u00f7 6 = 8.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 2.<br \/>\nA. Fill in the missing factors and products in the multiplication table below.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6933\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-75.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 75\" width=\"309\" height=\"224\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17755\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic-5-Assessment-Practice-2.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic 5 Assessment Practice-2\" width=\"368\" height=\"297\" \/><\/p>\n<p>Explanation:<br \/>\n0 \u00d7 6 = 0.<br \/>\n0 \u00d7 7 = 0.<br \/>\n0 \u00d7 8 = 0.<br \/>\n1 \u00d7 6 = 6.<br \/>\n2 \u00d7 6 = 12.<br \/>\n2 \u00d7 7 = 14.<br \/>\n3 \u00d7 7 = 21.<br \/>\n3 \u00d7 8 = 24.<br \/>\n4 \u00d7 6 = 24.<br \/>\n4 \u00d7 8 = 32.<\/p>\n<p>&nbsp;<\/p>\n<p>B. What pattern do you see in the first row of products in the table? Explain why this pattern is true.<br \/>\nAnswer:<br \/>\nThe first row of products in the table is zero because number multiplied by zero, results in zero itself.<\/p>\n<p>Explanation:<br \/>\nThe first row of products in the table is zero because number multiplied by zero, results in zero itself.<br \/>\n0 \u00d7 6 = 0.<br \/>\n0 \u00d7 7 = 0.<br \/>\n0 \u00d7 8 = 0.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 3.<br \/>\nFind 45 \u00f7 5. Draw a bar diagram to represent the problem.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17757\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic-5-Assessment-Practice-3.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic 5 Assessment Practice-3\" width=\"333\" height=\"142\" \/><\/p>\n<p>Explanation:<br \/>\n45 \u00f7 5 = 9.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 4.<br \/>\nFind the product.<br \/>\n5 \u00d7 7<br \/>\nA. 28<br \/>\nB. 30<br \/>\nC. 35<br \/>\nD. 42<br \/>\nAnswer:<br \/>\n5 \u00d7 7 = 35.<br \/>\nC. 35.<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 7 = (2 \u00d7 7) + (3 \u00d7 7)<br \/>\n5 \u00d7 7 = 14 + 21<br \/>\n5 \u00d7 7 = 35. (product)<\/p>\n<p>&nbsp;<\/p>\n<p>Question 5.<br \/>\nFind the product.<br \/>\n6 \u00d7 3 = \u2610<br \/>\nAnswer:<br \/>\n6 \u00d7 3 = 18.<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 3 = (3 \u00d7 3) + (3 \u00d7 3)<br \/>\n6 \u00d7 3 = 9 + 9<br \/>\n6 \u00d7 3 = 18. (product)<\/p>\n<p>&nbsp;<\/p>\n<p>Question 6.<br \/>\nWhich of the following strategies can help you solve 4 \u00d7 6? Select all that apply.<br \/>\n\u2610 (6 \u00d7 6) + (6 \u00d7 6)<br \/>\n\u2610 (4 \u00d7 3) + (4 \u00d7 3)<br \/>\n\u2610 (5 \u00d7 5) + (4 \u00d7 1)<br \/>\n\u2610 (5 \u00d7 4) + (1 \u00d7 4)<br \/>\n\u2610 (2 \u00d7 4) + (2 \u00d7 6)<br \/>\nAnswer:<br \/>\n(4 \u00d7 3) + (4 \u00d7 3) and (5 \u00d7 4) + (1 \u00d7 4) is applied strategy helps you to solve 4 \u00d7 6.<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 6 = (2 \u00d7 6) + (2 \u00d7 6)<br \/>\n4 \u00d7 6 = 12 + 12<br \/>\n4 \u00d7 6 = 24.<br \/>\nor<br \/>\n4 \u00d7 6 = (4 \u00d7 3) + (4 \u00d7 3)<br \/>\n4 \u00d7 6 = 12 + 12<br \/>\n4 \u00d7 6 = 24.<br \/>\nor<br \/>\n4 \u00d7 6 = (5 \u00d7 4) + (1 \u00d7 4)<br \/>\n4 \u00d7 6 = 20+ 4<br \/>\n4 \u00d7 6 = 24.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 7.<br \/>\nWhat number is missing from this multiplication table?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6934\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-76.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 76\" width=\"240\" height=\"115\" \/><br \/>\nA. 8<br \/>\nB. 9<br \/>\nC. 11<br \/>\nD. 12<br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-17759\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic-5-Assessment-Practice-7.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic 5 Assessment Practice-7\" width=\"297\" height=\"188\" \/><br \/>\nD. 12<\/p>\n<p>Explanation:<br \/>\n2 \u00d7 6 = 12.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 8.<br \/>\nSelect the correct product or quotient for each equation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6935\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-77.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 77\" width=\"247\" height=\"176\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17764\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic-5-Assessment-Practice-8-1.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic 5 Assessment Practice-8\" width=\"298\" height=\"244\" \/><\/p>\n<p>Explanation:<br \/>\n54 \u00f7 6 =\u00a0 9.<br \/>\n8 \u00d7 7 = 56.<br \/>\n49 \u00f7 7 = 7.<br \/>\n6 \u00d7 6 = 36.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 9.<br \/>\nSome squares are shaded orange to show a pattern in the multiplication table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6936\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-78.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 78\" width=\"307\" height=\"225\" \/><br \/>\nA. Identify a pattern shown in the multiplication table.<br \/>\nAnswer:<br \/>\nOrange colored are the multiples of 4 number and 8 number shown in the multiplication table.<\/p>\n<p>Explanation:<br \/>\nThe pattern shown in the multiplication table orange colored are the multiples of 4 number and 8 number.<\/p>\n<p>&nbsp;<\/p>\n<p>B. Explain why this pattern is true.<br \/>\nAnswer:<br \/>\nThis pattern is true because they show the multiples of 4, 5, 6, 7, and 8 numbers.<\/p>\n<p>Explanation:<br \/>\nMultiplication table shows he multiples of 4, 5, 6, 7, and 8 numbers.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 10.<br \/>\nDivide.<br \/>\n70 \u00f7 7<br \/>\nAnswer:<br \/>\n70 \u00f7 7 = 10.<\/p>\n<p>Explanation:<br \/>\n70 \u00f7 7 = 10.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 11.<br \/>\nWhich division equation could be used to solve 8 \u00d7 ? = 32?<br \/>\nA. 32 \u00f7 7 = ?<br \/>\nB. 32 \u00f7 2 = ?<br \/>\nC. 32 \u00f7 8 = ?<br \/>\nD. 8 \u00f7 ? = 32<br \/>\nAnswer:<br \/>\n8 \u00d7 ? = 32<br \/>\n=&gt; 8 \u00d7 4 = 32.<br \/>\nC. 32 \u00f7 8 = ? division equation could be used to solve 8 \u00d7 ? = 32<\/p>\n<p>Explanation:<br \/>\n8 \u00d7 ? = 32<br \/>\n=&gt; ? = 32 \u00f7 8<br \/>\n=&gt; ? = 4.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 12.<br \/>\nTwelve can be evenly divided by which of the following numbers? Select all that apply.<br \/>\n\u2610 9<br \/>\n\u2610 3<br \/>\n\u2610 5<br \/>\n\u2610 4<br \/>\n\u2610 7<br \/>\nAnswer:<br \/>\nTwelve can be evenly divided by the 2, 3, 4, 6 numbers:<br \/>\n3 and 4 numbers are applied to divide 12 number evenly.<\/p>\n<p>Explanation:<br \/>\nTwelve can be evenly divided by the following numbers:<br \/>\n12 \u00f7 2 = 6.<br \/>\n12 \u00f7 3 = 4.<br \/>\n12 \u00f7 4 = 3.<br \/>\n12 \u00f7 6 = 2.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 13.<br \/>\nWhat is the product of 9 and 3? Write an equation to solve the problem.<br \/>\nAnswer:<br \/>\nEquation:<br \/>\n9 \u00d7 3 = 27.<\/p>\n<p>Explanation:<br \/>\nEquation:<br \/>\n9 \u00d7 3 = 27. (product)<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 14.<br \/>\nLook at these two expressions.<br \/>\n40 \u00f7 4\u00a0 \u00a0 \u00a0 \u00a040 \u00f7 8<br \/>\nA. Explain how you can compare the expressions without computing.<br \/>\nAnswer:<br \/>\nWe can compare the expressions without computing like this finding the answer.<br \/>\n40 \u00f7 4\u00a0 \u00a0&gt;\u00a0 \u00a040 \u00f7 8.<\/p>\n<p>Explanation:<br \/>\n40 \u00f7 4 = 10.<br \/>\n40 \u00f7 8 = 5.<\/p>\n<p>&nbsp;<\/p>\n<p>B. Check your answer by computing both quotients.<br \/>\nAnswer:<br \/>\n40 \u00f7 4 = 10. (quotient)<br \/>\n40 \u00f7 8 = 5. (quotient)<\/p>\n<p>Explanation:<br \/>\n40 \u00f7 4 = 10. (quotient)<br \/>\n40 \u00f7 8 = 5. (quotient)<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 15.<br \/>\nWhich shows a way to solve 5 \u00d7 5?<br \/>\nA. Skip count 5 times by numbers that end in 5: 5, 15, 25, 35, 45<br \/>\nB. Use the Distributive Property: (4 \u00d7 5) + (1 \u00d7 5)<br \/>\nC. Look at a multiplication table: Find the 5s row. Go across until you find 5. The product is the number at the top of that column, 1.<br \/>\nD. Use repeated addition: 5 + 5 + 5 + 5<br \/>\nAnswer:<br \/>\nB. Use the Distributive Property: (4 \u00d7 5) + (1 \u00d7 5)<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 5 = (4 \u00d7 5) + (1 \u00d7 5)<br \/>\n5 \u00d7 5 = 20 + 5<br \/>\n5 \u00d7 5 = 25.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 16.<br \/>\nRoberta is planting flowers in her garden. She plants 9 rows of flowers. There are 7 flowers in each row. How many flowers does does she plant in all? Write an equation to solve the problem.<br \/>\nAnswer:<br \/>\nNumber of flowers she plants in all = Number of rows of flowers Roberta plants\u00a0 \u00d7 Number of flowers in each row<br \/>\n= 9 \u00d7 7<br \/>\n= 63.<\/p>\n<p>Explanation:<br \/>\nNumber of rows of flowers Roberta plants = 9.<br \/>\nNumber of flowers in each row = 7.<br \/>\nNumber of flowers she plants in all = Number of rows of flowers Roberta plants\u00a0 \u00d7 Number of flowers in each row<br \/>\n= 9 \u00d7 7<br \/>\n= 63.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 17.<br \/>\nMultiply.<br \/>\n7 \u00d7 2<br \/>\nAnswer:<br \/>\n7 \u00d7 2 = 24.<\/p>\n<p>Explanation:<br \/>\n7 \u00d7 2 = (1 \u00d7 2) + (6\u00a0\u00d7 2)<br \/>\n7 \u00d7 2 = 2 + 12<br \/>\n7 \u00d7 2 = 14.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 18.<br \/>\nLook at the multiplication table below.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6937\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-79.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 79\" width=\"311\" height=\"263\" \/><br \/>\nA. Shade the products in the 5s column of the table. What pattern do you see there?<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17767\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic-5-Assessment-Practice-18.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic 5 Assessment Practice-18\" width=\"372\" height=\"314\" \/><\/p>\n<p>Explanation:<br \/>\nThe products in the 5s column of the table are 20, 25, 30, 35.<br \/>\n5 \u00d7 4 = 20.<br \/>\n5 \u00d7 5 = 25.<br \/>\n5 \u00d7 6 = 30.<br \/>\n5 \u00d7 7 = 35.<\/p>\n<p>&nbsp;<\/p>\n<p>B. Explain the pattern you found.<br \/>\nAnswer:<br \/>\nThe pattern found is difference is 5 in between the numbers and are the multiples of 5 number.<\/p>\n<p>Explanation:<br \/>\nThe pattern found is difference is 5 in between the numbers and they are multiples of 5 number.<\/p>\n<p>&nbsp;<\/p>\n<h3>Topic 5 Performance Task<\/h3>\n<p>Photograph Gallery Riley is setting up a display. She is hanging photographs on two walls. The photographs are hung in arrays. Riley has to decide how to arrange the photographs. She makes tables to decide which arrangement to use.<\/p>\n<p>Question 1.<br \/>\nUse the Left Wall table to answer the questions.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6938\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-80.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 80\" width=\"322\" height=\"173\" \/><br \/>\nPart A<br \/>\nWhich arrangement on the left wall has the most photographs?<br \/>\nAnswer:<br \/>\nLeft wall B arrangement has the most photographs of 27.<\/p>\n<p>Explanation:<br \/>\nLeft wall arrangement :<br \/>\nA = Rows \u00d7 Columns<br \/>\n= 3 \u00d7 7<br \/>\n= 21.<br \/>\nB = Rows \u00d7 Columns<br \/>\n= 3 \u00d7 9<br \/>\n= 27.<br \/>\nC = Rows \u00d7 Columns<br \/>\n= 7 \u00d7 2<br \/>\n= 14.<br \/>\nD = Rows \u00d7 Columns<br \/>\n= 8 \u00d7 3<br \/>\n= 24.<\/p>\n<p>&nbsp;<\/p>\n<p>Part B<br \/>\nExplain how Riley could find the answer to Part A without calculating the size of each arrangement.<br \/>\nAnswer:<br \/>\nRiley could find the answer to Part A without calculating the size of each arrangement by checking the highest columns\u00a0 or rows size.<\/p>\n<p>Explanation:<br \/>\nRiley could find the answer to Part A without calculating the size of each arrangement by checking the highest columns\u00a0 or rows size.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Use the Right Wall table to answer Exercises 2 and 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-6939\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-3-Answer-Key-Topic-5-Fluently-Multiply-and-Divide-within-100-81.png\" alt=\"Envision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 81\" width=\"336\" height=\"280\" \/><\/p>\n<p>Question 2.<br \/>\nFill in the missing columns, rows, and numbers of photographs so that Riley&#8217;s table is complete.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17768\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic-5-Performance-Task-2.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic 5 Performance Task-2\" width=\"418\" height=\"347\" \/><\/p>\n<p>Explanation:<br \/>\n4 \u00d7 ? = 36.<br \/>\n=&gt; 4 \u00d7 9 = 36.<br \/>\n7 \u00d7 ? = 42<br \/>\n=&gt; 7 \u00d7 6 = 42.<br \/>\n6 \u00d7 ? = 42.<br \/>\n=&gt; 6 \u00d7 7 = 42.<br \/>\n7 \u00d7 ? = 63.<br \/>\n=&gt; 7 \u00d7 9 = 63.<br \/>\n6 \u00d7 ? = 30.<br \/>\n=&gt; 6 \u00d7 5 = 30.<br \/>\n4 \u00d7 ? = ??<br \/>\n=&gt; 4 \u00d7 4 = 16.<br \/>\n=&gt; 6 \u00d7 4 = 24.<br \/>\n=&gt; 6 \u00d7 6 = 36.<br \/>\n=&gt; 6 \u00d7 9 = 54.<br \/>\n7 \u00d7 4 = 28.<br \/>\n=&gt; 7 \u00d7 5 = 35.<br \/>\n=&gt; 7 \u00d7 6 = 42.<br \/>\n=&gt; 7 \u00d7 7 = 49.<br \/>\n=&gt; 7 \u00d7 9 = 63.<br \/>\n9 \u00d7 4 = 36.<br \/>\n=&gt; 9 \u00d7 5 = 45.<br \/>\n=&gt; 9 \u00d7 6 = 54.<br \/>\n=&gt; 9 \u00d7 7 = 63.<br \/>\n=&gt; 9 \u00d7 9 = 81.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Question 3.<br \/>\nRiley has 42 on her table twice. Is this reasonable? Explain why or why not.<br \/>\nAnswer:<br \/>\nRiley has 42 on her table twice and it is reasonable because rows and columns count is not same\u00a0 6 \u00d7 7 = 42 and\u00a0 7 \u00d7 6 = 42.<\/p>\n<p>Explanation:<br \/>\n<img src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic-5-Performance-Task-2.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic 5 Performance Task-2\" \/><br \/>\nRows \u00d7 Columns<br \/>\n6 \u00d7 7 = 42.<br \/>\n7 \u00d7 6 = 42.<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Use the Right Wall table to answer Exercises 4-6.<br \/>\nQuestion 4.<br \/>\nSome of the photographers were men, and some were women. Riley wants the number of photographs taken by men to be equal to the number of photographs taken by women. Shade the squares in the table to show the arrangements that let Riley do this. Explain what pattern you find.<br \/>\nAnswer:<br \/>\nThe pattern followed is doubling the numbers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-17770\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic-5-Performance-Task-4.png\" alt=\"Envision-Math-Common-Core-3rd-Grade-Answers-Key-Topic-4-Use-Multiplication-to-Divide-Topic 5 Performance Task-4\" width=\"462\" height=\"343\" \/><\/p>\n<p>Explanation:<br \/>\nRiley wants the number of photographs taken by men to be equal to the number of photographs taken by women:<br \/>\n4 \u00d7 4 = 16.<br \/>\n6 \u00d7 6 = 36.<br \/>\n7 \u00d7 7 = 49.<br \/>\n9 \u00d7 9 = 81.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 5.<br \/>\nRiley shares this table with her friend Leo. Leo is working on a different project. He is NOT hanging photographs. For what project could Leo use the table? Explain what 7 \u00d7 4 means for Leo&#8217;s project.<br \/>\nAnswer:<br \/>\n7 \u00d7 4 means for Leo&#8217;s project is 28 photographs .<\/p>\n<p>Explanation:<br \/>\n7 \u00d7 4 = (3 \u00d7 4) + (4 \u00d7 4)<br \/>\n7 \u00d7 4 = 12 + 16<br \/>\n7 \u00d7 4 = 28.<\/p>\n<p>&nbsp;<\/p>\n<p>Question 6.<br \/>\nRiley also shares this table with her mother. Riley&#8217;s mother is working on a different project. She is also NOT hanging photographs. For what project could Riley&#8217;s mother use the table? Explain what 30 \u00f7 6 means for Riley&#8217;s mother&#8217;s project.<br \/>\nAnswer:<br \/>\n30 \u00f7 6 means for Riley&#8217;s mother&#8217;s project is 5 photographs.<\/p>\n<p>Explanation:<br \/>\n30 \u00f7 6 = 5.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Practice with the help of enVision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100 regularly and improve your accuracy in solving questions. enVision Math Common Core 3rd Grade Answers Key Topic 5 Fluently Multiply and Divide within 100 Essential Question: What are strategies to solve multiplication and division &#8230; <a title=\"enVision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/envision-math-common-core-grade-3-answer-key-topic-5\/\" aria-label=\"More on enVision Math Common Core Grade 3 Answer Key Topic 5 Fluently Multiply and Divide within 100\">Read more<\/a><\/p>\n","protected":false},"author":13,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[10],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/90052"}],"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\/13"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=90052"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/90052\/revisions"}],"predecessor-version":[{"id":90053,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/90052\/revisions\/90053"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=90052"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=90052"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=90052"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}