{"id":90118,"date":"2022-03-30T12:32:19","date_gmt":"2022-03-30T07:02:19","guid":{"rendered":"https:\/\/bigideasmathanswers.com\/?p=90118"},"modified":"2022-04-07T14:36:55","modified_gmt":"2022-04-07T09:06:55","slug":"envision-math-common-core-grade-5-answer-key-topic-3","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/envision-math-common-core-grade-5-answer-key-topic-3\/","title":{"rendered":"enVision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers"},"content":{"rendered":"<p>Practice with the help of <a href=\"https:\/\/bigideasmathanswers.com\/envision-math-common-core-grade-5-answer-key\/\">enVision Math Common Core Grade 5 Answer Key<\/a> <strong>Topic 3 Fluently Multiply Multi-Digit Whole Numbers<\/strong> regularly and improve your accuracy in solving questions.<\/p>\n<h2>enVision Math Common Core 5th Grade Answers Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers<\/h2>\n<p><strong>Essential Question:<\/strong> What are the standard procedures for estimating and finding products of multi-digit numbers?<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-10112\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-1.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 1\" width=\"624\" height=\"452\" \/><br \/>\n<strong>enVision STEM Project: Water Usage<\/strong><br \/>\n<strong>Do Research<\/strong> Use the Internet or other sources to find how much water is used for household activities like taking a shower or bath, using a dishwasher, hand washing dishes, and using a washing machine.<br \/>\n<strong>Journal: Write a Report<\/strong> Include what you found. Also in your report:<\/p>\n<ul>\n<li>Choose 3 of the activities. Estimate how many times each activity is done each week in your household.<\/li>\n<li>Estimate the weekly water usage for each activity. Organize your results in a table.<\/li>\n<li>Make up and solve multiplication problems based on your data.<\/li>\n<\/ul>\n<p><strong>Review What You Know<\/strong><\/p>\n<p><strong>Vocabulary<\/strong><\/p>\n<p>Choose the best term from the box. Write it on the blank.<br \/>\n\u2022 multiple<br \/>\n\u2022 equation<br \/>\n\u2022 exponent<br \/>\n\u2022 power<br \/>\n\u2022 factor<br \/>\n\u2022 product<\/p>\n<p>Question 1.<br \/>\nThe answer to a multiplication problem is the ____.<\/p>\n<p>Answer:<br \/>\nThe answer to a multiplication problem is the product.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe answer to a multiplication problem is called the product.<br \/>\nfor example:<br \/>\n15 x 2 = 30.<br \/>\n15 is called multiplicand.<br \/>\n2 is the multiplier.<br \/>\n30 is the product.<br \/>\nSo the answer to a multiplication problem is called the product.<\/p>\n<p>Question 2.<br \/>\nA number sentence that shows two expressions with the same value is a(n) _____<\/p>\n<p>Answer:<br \/>\nA number sentence that shows two expressions with the same value is an equation.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA number sentence that shows two expressions with the same value is an equation.<br \/>\nfor example:<br \/>\n4 + 8 = 12.<br \/>\n5 + 6 = 12.<br \/>\nso the number sentence that shows two expressions with the same value is an equation.<\/p>\n<p>Queen 3.<br \/>\nA(n) ___ tells the number of times the base is used as a(n) ___.<\/p>\n<p>Answer:<br \/>\nA(n) tells the number of times the base is used as an exponent.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA(n) ___ tells the number of times the base is used as a(n).<br \/>\nfor example:<br \/>\n5<a id=\"emoji-info-url\" href=\"https:\/\/coolsymbol.com\/copy\/Superscript_Two_Symbol_%C2%B2\"><span id=\"emoji-info-value\">\u00b2<\/span><\/a>.<br \/>\nwhere 2 is the exponent.<br \/>\n5 is base.<\/p>\n<p>Question 4.<br \/>\n50 is a(n) ____ of 10 because 5 \u00d7 10 = 50.<\/p>\n<p>Answer:<br \/>\n50 is a(n) base of 10 because 5 x 10 = 50.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n50 is a(n) base of 10 because 5 x 10 = 50.<br \/>\nfor example:<br \/>\n5 x a (n) = 10.<br \/>\na(n) = 10 x 5.<br \/>\na(n) = 50.<\/p>\n<p><strong>Operations<\/strong><\/p>\n<p>Find each sum or difference.<\/p>\n<p>Question 5.<br \/>\n9,007 + 3,128<\/p>\n<p>Answer:<br \/>\n9007 + 3128 = 12,135.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 9007 and 3128.<br \/>\nadd the two numbers.<br \/>\n9007 + 3128 = 12,135.<\/p>\n<p>Question 6.<br \/>\n7,904 \u2013 3,199<\/p>\n<p>Answer:<br \/>\n7904 &#8211; 3199 = 4705.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 7904 and 3199.<br \/>\nsubtract the two numbers.<br \/>\n7904 &#8211; 3199 = 4705.<\/p>\n<p>Question 7.<br \/>\n27,924 \u2013 13,868<\/p>\n<p>Answer:<br \/>\n27924 &#8211; 13,868 = 14,056.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 27924 and 13868.<br \/>\nsubtract the two numbers.<br \/>\n27924 &#8211; 13868 =14,056.<\/p>\n<p>Question 8.<br \/>\n9.27 + 3.128<\/p>\n<p>Answer:<br \/>\n9.27 + 3.128 = 12.398.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 9.27 and 3.128.<br \/>\nadd the two numbers.<br \/>\n9.27 + 3.128 = 12.398.<\/p>\n<p>Question 9.<br \/>\n119.04 &#8211; 86.5<\/p>\n<p>Answer:<br \/>\n119.04 &#8211; 86.5 = 32.54.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 119.04 and 86.5.<br \/>\nsubtract the two numbers.<br \/>\n119.04 &#8211; 86.5 = 32.54.<\/p>\n<p>Question 10.<br \/>\n165.2 \u2013 133.18<\/p>\n<p>Answer:<br \/>\n165.2 &#8211; 133.18 = 32.02.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 165.2 and 133.18.<br \/>\nsubtract the two numbers.<br \/>\n165.2 &#8211; 133.18 = 32.02.<\/p>\n<p><strong>Round Whole Numbers and Decimals<\/strong><\/p>\n<p>Round each number to the place of the underlined digit.<\/p>\n<p>Question 11.<br \/>\n1<u>4<\/u>.3<\/p>\n<p>Answer:<br \/>\n14.3.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe number is 14.3.<br \/>\nthe underlined digit is 4.<br \/>\nif the tenths place is greater than 5.<br \/>\nthen add by 1.<br \/>\nif tenths place is less than 5.<br \/>\nthen write the same number as zeros.<br \/>\nso the answer is 14.3.<\/p>\n<p>Question 12.<br \/>\n3<u>8<\/u>5.7<\/p>\n<p>Answer:<br \/>\n395.7.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe number is 385.7.<br \/>\nthe underlined digit is 8.<br \/>\nif the tenths place is greater than 5.<br \/>\nthen add by 1.<br \/>\nif tenths place is less than 5.<br \/>\nthen write the same number as zeros.<br \/>\nso the answer is 395.7.<\/p>\n<p>Question 13.<br \/>\n0.<u>5<\/u>45<\/p>\n<p>Answer:<br \/>\n0.500.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe number is 0.545.<br \/>\nthe underlined digit is 5.<br \/>\nif the tenths place is greater than 5.<br \/>\nthen add by 1.<br \/>\nif tenths place is less than 5.<br \/>\nthen write the same number as zeros.<br \/>\nso the answer is 0.500.<\/p>\n<p>Question 14.<br \/>\n49<u>6<\/u>.533<\/p>\n<p>Answer:<br \/>\n497.533.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe number is 496.533.<br \/>\nthe underlined digit is 6.<br \/>\nif the tenths place is greater than 5.<br \/>\nthen add by 1.<br \/>\nif tenths place is less than 5.<br \/>\nthen write the same number as zeros.<br \/>\nso the answer is 496.533.<\/p>\n<p>Question 15.<br \/>\n49<u>6<\/u>.353<\/p>\n<p>Answer:<br \/>\n496.000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe number is 496.353.<br \/>\nthe underlined digit is 6.<br \/>\nif the tenths place is greater than 5.<br \/>\nthen add by 1.<br \/>\nif tenths place is less than 5.<br \/>\nthen write the same number as zeros.<br \/>\nso the answer is 496.000.<\/p>\n<p>Question 16.<br \/>\n1,857.2<u>0<\/u>5<\/p>\n<p>Answer:<br \/>\n1857.215.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe number is 1857.205.<br \/>\nthe underlined digit is 0.<br \/>\nif the tenths place is greater than 5.<br \/>\nthen add by 1.<br \/>\nif tenths place is less than 5.<br \/>\nthen write the same number as zeros.<br \/>\nso the answer is 1857.205.<\/p>\n<p><strong>Compare Decimals<\/strong><\/p>\n<p>Question 17.<br \/>\nWrite the numbers in order from least to greatest. 8.062 8.26 8.026 8.6<\/p>\n<p>Answer:<br \/>\nThe numbers in order from least to greatest is 8.026, 8.062, 8.26, and 8.6.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe numbers are 8.062, 8.26, 8.026, and 8.6.<br \/>\nthe numbers in order from least to greatest is<br \/>\n8.026, 8.062, 8.26, and 8.6.<\/p>\n<p>Question 18.<br \/>\nWrite the numbers in order from greatest to least. 0.115 0.15 0.005 0.5<\/p>\n<p>Answer:<br \/>\nThe numbers in order from greatest to least are 0.005, 0.115, 0.15, and 0.5.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe numbers are 0.115, 0.15, 0.005, and 0.5.<br \/>\nthe numbers in order from greatest to least are<br \/>\n0.115, 0.15, 0.005, and 0.5.<\/p>\n<p><strong>pick a Project<\/strong><\/p>\n<p><strong>PROJECT \u0417\u0410<\/strong><br \/>\nWhat puts the bounce in a bouncy ball?<br \/>\nProject: Make a Business Plan<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10113\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-2.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 2\" width=\"468\" height=\"267\" \/><\/p>\n<p><strong>PROJECT 3B<\/strong><br \/>\nHow can you build a fort?<br \/>\nProject: Build a Model Fort<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10114\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-21.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 21\" width=\"473\" height=\"272\" \/><\/p>\n<p><strong>PROJECT 3C<\/strong><br \/>\nHow many people can a ferry carry?<br \/>\nProject: Design a Prototype Ferry<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10115\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-22.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 22\" width=\"465\" height=\"273\" \/><\/p>\n<p><strong>3-ACT MATH PREVIEW<\/strong><\/p>\n<p><strong>Math Modeling<\/strong><\/p>\n<p><strong>Morning Commute<\/strong><\/p>\n<p>Before watching the video, think:<br \/>\nTrain conductors don&#8217;t wear this kind of hat anymore. Even paper tickets are less common now that some train lines use an app to purchase tickets. What are some other ways we have updated transportation as part of our modern society? All aboard!<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10116\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-23.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 23\" width=\"231\" height=\"467\" \/><\/p>\n<h3>Lesson 3.1 Multiply Greater Numbers by Powers of 10<\/h3>\n<p><strong>Activity<\/strong><\/p>\n<p>At Izzy&#8217;s Party Store, party invitations come in packages of 8. How many invitations are in 10 packages? 100 packages? 1,000 packages? Solve this problem any way you choose.<\/p>\n<p>Answer:<br \/>\nThe number of invitations is in 10 packages = 80.<br \/>\nthe number of invitations is in 100 packages = 800.<br \/>\nthe number of invitations is in 1000 packages = 8000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nAt Izzy&#8217;s Party Store, party invitations come in packages of 8.<br \/>\n8 x 10 = 80.<br \/>\n8 x 100 = 800.<br \/>\n8 x 1000 = 8000.<br \/>\nso the number of invitations is in 10 packages = 80.<br \/>\nthe number of invitations is in 100 packages = 800.<br \/>\nthe number of invitations is in 1000 packages = 8000.<\/p>\n<p>You can use appropriate tools. Place-value blocks are useful for picturing problems that involve powers of 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10120\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-24.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 24\" width=\"179\" height=\"396\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-10117\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-24.1.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 24.1\" width=\"111\" height=\"304\" \/><\/p>\n<p><strong>Look Back!<\/strong> What patterns do you notice in your work above?<\/p>\n<p><strong>Visual Learning Bridge<\/strong><\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Use Patterns and Mental Math to Question Multiply a Whole Number by a Power of 10?<\/p>\n<p><strong>A.<\/strong><br \/>\nThe value of each place in a number is 10 times the value of the place to the right. The place-value chart shows this relationship for the number 4. Look for patterns.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10118\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-24.2.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 24.2\" width=\"406\" height=\"206\" \/><br \/>\n10 times greater than 4<br \/>\n10 times greater than 40<br \/>\n10 times greater than 400<br \/>\n10 times greater than 4,000<br \/>\n10 times greater than 40,000<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10119\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-24.3.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 24.3\" width=\"226\" height=\"229\" \/><\/p>\n<p><strong>B.<\/strong><br \/>\nFind 32 \u00d7 10,000 by using place-value relationships.<br \/>\nMultiply 32 by 1; 10; 100; 1,000; and 10,000.<br \/>\n32 \u00d7 1 = 32 ones = 32<br \/>\n32 \u00d7 10 = 32 tens = 320<br \/>\n32 \u00d7 100 = 32 hundreds = 3,200<br \/>\n32 \u00d7 1,000 = 32 thousands = 32,000<br \/>\n32 \u00d7 10,000 = 32 ten thousands = 320,000<br \/>\n<strong>Pattern<\/strong><br \/>\nPattern The product ends with the same number of zeros as the power of 10.<\/p>\n<p><strong>C.<\/strong><br \/>\nInstead of using the standard form, write each power of 10 using exponents.<br \/>\n32 \u00d7 1 = 32 \u00d7 10<sup>0<\/sup> = 32<br \/>\n32 \u00d7 10 = 32 \u00d7 10<sup>1<\/sup> = 320<br \/>\n32 \u00d7 100 = 32 \u00d7 10<sup>2<\/sup> = 3,200<br \/>\n32 \u00d7 1,000 = 32 \u00d7 10<sup>3<\/sup> = 32,000<br \/>\n32 \u00d7 10,000 = 32 \u00d7 10<sup>4<\/sup> = 320,000<\/p>\n<p><strong>Pattern<\/strong><br \/>\nThe exponent tells how many additional zeros the product will end with.<\/p>\n<p><strong>Convince Me!<\/strong> Critique Reasoning Nellie says that 60 \u00d7 1,000 is 6,000 because there are three zeros in 1,000. Kara says that 60 \u00d7 1,000 = 60,000. Whose thinking is correct? Explain.<\/p>\n<p>Answer:<br \/>\nKara says is correct.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nNellie says that 60 \u00d7 1,000 is 6,000.<br \/>\nKara says that 60 \u00d7 1,000 = 60,000.<br \/>\nso kara says is correct.<\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><\/p>\n<p>Question 1.<br \/>\nHow many zeros will there be in the product of 39 \u00d7 1,000? How many zeros will there be in the product of 50 \u00d7 1,000?<\/p>\n<p>Answer:<br \/>\nThere are 3 zeros in the 39000.<br \/>\nthere are 4 zeros in the 50000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n39 x 1000 = 39000.<br \/>\n50 x 1000 = 50000.<br \/>\nso there are 3 zeros in the 39000.<br \/>\nthere are 4 zeros in the 50000.<\/p>\n<p>Question 2.<br \/>\nExplain how to find the product of 90 \u00d7 10<sup>4<\/sup>.<\/p>\n<p>Answer:<br \/>\nThe product of 90 x 10<sup>4<\/sup><\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n90 x 10<sup>4<\/sup><br \/>\n90 x 10 x 10 x 10 x 10.<br \/>\n90 x 100 x 100.<br \/>\n90 x 10000.<br \/>\n900000.<\/p>\n<p><strong>Do You Know How?<\/strong><\/p>\n<p>In 3-5, use reasoning to fill in the missing numbers.<\/p>\n<p>Question 3.<br \/>\n60 \u00d7 1 = ____<br \/>\n60 \u00d7 100 = ____<br \/>\n60 \u00d7 10,000 = ____<\/p>\n<p>Answer:<br \/>\n60 x 1 = 60.<br \/>\n60 x 100 = 6000.<br \/>\n60 x 1000 = 60000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n60 x 1 = 60.<br \/>\n60 x 100 = 6000.<br \/>\n60 x 1000 = 60000.<\/p>\n<p>Question 4.<br \/>\n13 \u00d7 ___ = 13,000<\/p>\n<p>Answer:<br \/>\n13 x 1000 = 13000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n13 x 10 x 10 x 10.<br \/>\n13 x 1000 = 13000.<\/p>\n<p>Question 5.<br \/>\n___ \u00d7 10<sup>4<\/sup> = 100,000<\/p>\n<p>Answer:<br \/>\n10 \u00d7 10<sup>4<\/sup> = 100,000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n10 x 1 =10.<br \/>\n10<sup>4<\/sup> = 10 x 10 x 10 x 10 =10000.<br \/>\n10 x 10000 = 100,000.<\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p><strong>Leveled Practice<\/strong> In 6-13, find each product.<\/p>\n<p>Question 6.<br \/>\n89 \u00d7 1<br \/>\n89 \u00d7 10<br \/>\n89 \u00d7 100<br \/>\n89 \u00d7 1,000<br \/>\n89 \u00d7 10,000<\/p>\n<p>Answer:<br \/>\n89 x 1 = 89.<br \/>\n89 x 10 = 890.<br \/>\n89 x 100 = 8900.<br \/>\n89 x 1000 = 89000.<br \/>\n89 x 10,000 = 890,000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n89 x 1 = 89.<br \/>\n89 x 10 = 890.<br \/>\n89 x 100 = 8900.<br \/>\n89 x 1000 = 89000.<br \/>\n89 x 10,000 = 890,000.<\/p>\n<p>Question 7.<br \/>\n30 \u00d7 1<br \/>\n30 \u00d7 10<br \/>\n30 \u00d7 100<br \/>\n30 \u00d7 1,000<br \/>\n30 \u00d7 10,000<\/p>\n<p>Answer:<br \/>\n30 \u00d7 1 = 30.<br \/>\n30 \u00d7 10 = 300.<br \/>\n30 \u00d7 100 = 3000.<br \/>\n30 \u00d7 1,000 = 30,000.<br \/>\n30 \u00d7 10,000 = 300,000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n30 \u00d7 1 = 30.<br \/>\n30 \u00d7 10 = 300.<br \/>\n30 \u00d7 100 = 3000.<br \/>\n30 \u00d7 1,000 = 30,000.<br \/>\n30 \u00d7 10,000 = 300,000.<\/p>\n<p>Question 8.<br \/>\n41 \u00d7 1<br \/>\n41 \u00d7 10<sup>1<\/sup><br \/>\n41 \u00d7 10<sup>2<\/sup><br \/>\n41 \u00d7 10<sup>3<\/sup><br \/>\n41 \u00d7 10<sup>4<\/sup><\/p>\n<p>Answer:<br \/>\n41 \u00d7 1 = 41.<br \/>\n41 \u00d7 10<sup>1<\/sup><br \/>\n41 \u00d7 10<sup>2<\/sup><br \/>\n41 \u00d7 10<sup>3<\/sup><br \/>\n41 \u00d7 10<sup>4<\/sup><\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n41 \u00d7 1 = 41.<br \/>\n41 \u00d7 10<sup>1= 4100.<\/sup><br \/>\n41 \u00d7 10<sup>2 = 42000.<\/sup><br \/>\n41 \u00d7 10<sup>3= 43000.<\/sup><br \/>\n41 \u00d7 10<sup>4= 430000.<\/sup><\/p>\n<p>Question 9.<br \/>\n90 \u00d7 1<br \/>\n90 \u00d7 10<sup>1<\/sup><br \/>\n90 \u00d7 10<sup>2<\/sup><br \/>\n90 \u00d7 10<sup>3<\/sup><br \/>\n90 \u00d7 10<sup>4<\/sup><\/p>\n<p>Answer:<br \/>\n90 x 1 = 90.<br \/>\n90 \u00d7 10<sup>1<\/sup><br \/>\n90 \u00d7 10<sup>2<\/sup><br \/>\n90 \u00d7 10<sup>3<\/sup><br \/>\n90 \u00d7 10<sup>4<\/sup><\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n90 x 1 = 90.<br \/>\n90 \u00d7 10<sup>1<\/sup><br \/>\n90 \u00d7 10<sup>2<\/sup><br \/>\n90 \u00d7 10<sup>3<\/sup><br \/>\n90 \u00d7 10<sup>4<\/sup><\/p>\n<p>Question 10.<br \/>\n4 \u00d7 10<sup>3<\/sup><\/p>\n<p>Answer:<br \/>\n4 x 10<sup>3 = 4000.<\/sup><\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n4 x 10<sup>3.<br \/>\n4 x 10 x 10 x 10.<br \/>\n4 x 1000.<br \/>\n4000.<\/sup><\/p>\n<p>Question 11.<br \/>\n85 \u00d7 100<\/p>\n<p>Answer:<br \/>\n85 x 100 = 8500.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n85 x 100.<br \/>\n8500.<\/p>\n<p>Question 12.<br \/>\n16 \u00d7 10<sup>2<\/sup><\/p>\n<p>Answer:<br \/>\n16 x 10 x 10 = 1600.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n16 x 10<sup>2.<br \/>\n16 x 10 x 10.<br \/>\n1600.<\/sup><\/p>\n<p>Question 13.<br \/>\n10<sup>3<\/sup> \u00d7 38<\/p>\n<p>Answer:<br \/>\n10 x 10 x 10 x 38 = 38000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n10<sup>3<\/sup> \u00d7 38.<br \/>\n10 x 10 x 10 x 38.<br \/>\n100 x 10 x 38.<br \/>\n38 x 1000.<br \/>\n38000.<\/p>\n<p>In 14-19, use reasoning to fill in the missing numbers.<\/p>\n<p>Question 14.<br \/>\n52 \u00d7 10- = 520,000<\/p>\n<p>Answer:<br \/>\n52 x 10 4 = 520,000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n52 x 10 x 10 x 10 x 10.<br \/>\n52 x 100 x 100.<br \/>\n52 x 10000.<br \/>\n520,000.<\/p>\n<p>Question 15.<br \/>\n68,637 = 10<sup>1<\/sup> \u00d7 ___<\/p>\n<p>Answer:<br \/>\n10 x 68637 = 686370.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n68637 x 10.<br \/>\n686370.<\/p>\n<p>Question 16.<br \/>\n___ = 382 \u00d7 10<sup>4<\/sup><\/p>\n<p>Answer:<br \/>\n382 x 10000 = 3820000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n382 x 10 x 10 x 10 x 10.<br \/>\n382 x 10<sup>4.<br \/>\n382 x 100 x 100.<br \/>\n3820000.<\/sup><\/p>\n<p>Question 17.<br \/>\n___ = 10<sup>3<\/sup> \u00d7 80<\/p>\n<p>Answer:<br \/>\n80 x 10<sup>3 = 80000.<\/sup><\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n80 x 10<sup>3.<br \/>\n<\/sup>80 x 10 x 10 x 10.<br \/>\n80 x 1000.<br \/>\n80000.<\/p>\n<p>Question 18.<br \/>\n10 \u00d7 374 = 37,400<\/p>\n<p>Answer:<br \/>\n10 x 374 x 10 = 37400.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n10 x 374 x 10.<br \/>\n100 x 374.<br \/>\n37400.<\/p>\n<p>Question 19.<br \/>\n500,000 = 50 \u00d7 10-<\/p>\n<p>Answer:<br \/>\n50 x 10000 = 50,000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n50 x 10 x 10 x 10 x 10.<br \/>\n50 x 100 x 100.<br \/>\n50 x 10000.<br \/>\n50,000.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 20.<br \/>\nAt a football championship game, the home team gave a football to each of the first 100 fans who arrived at the stadium. Each football cost the team $28. How much did the team pay for the footballs it gave away?<\/p>\n<p>Answer:<br \/>\nThe team pay for the footballs it gave away = $2800.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nAt a football championship game,<br \/>\nthe home team gave a football to each of the first 100 fans who arrived at the stadium.<br \/>\nEach football cost the team $28.<br \/>\n28 x 100 = 2800.<br \/>\nso the team pay for the football it gave away = $2800.<\/p>\n<p>Question 21.<br \/>\n<strong>Construct Arguments<\/strong> Without multiplying, tell which expression is greater, 93 \u00d7 10<sup>3<\/sup> or 11 \u00d7 10<sup>4<\/sup>? How do you know?<\/p>\n<p>Answer:<br \/>\nThe expression 93 x 10<sup>3 is greater.<\/sup><\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two expressions are 93 \u00d7 10<sup>3<\/sup> or 11 \u00d7 10<sup>4.<br \/>\n93 x 10 x 10 x 10.<br \/>\n93 x 1000.<br \/>\n93000.<br \/>\n11 x 10 x 10 x 10 x 10.<br \/>\n11 x 10000.<br \/>\n110000.<\/sup><\/p>\n<p>Question 22.<br \/>\nA truck is carrying 10<sup>2<\/sup> bushels of onions, 10<sup>1<\/sup> bushels of peaches, and 10<sup>3<\/sup> bushels of corn. What is the total weight of the crops?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10121\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-50.1.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 50.1\" width=\"313\" height=\"172\" \/><\/p>\n<p>Answer:<br \/>\nThe total weight of the crops = 76,200.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA truck is carrying 10<sup>2<\/sup> bushels of onions.<br \/>\n10<sup>1<\/sup> bushels of peaches, and 10<sup>3<\/sup> bushels of corn.<br \/>\n57 x 100 = 5700.<br \/>\n50 x 10 = 500.<br \/>\n70 x 10 x 10 x 10 = 70000.<br \/>\n5700 + 500 + 70000 = 76,200.<br \/>\nso the total weight of the crops = 76200.<\/p>\n<p>Question 23.<br \/>\nNorman bought a 16-pound bag of charcoal for $7.89 and a 10.4-pound bag of charcoal for $5.69. What was the total weight of the two bags of charcoal?<\/p>\n<p>Answer:<br \/>\nThe total weight of the two bags of charcoal = $185.416.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nNorman bought a 16-pound bag of charcoal for $7.89.<br \/>\n10.4-pound bag of charcoal for $5.69.<br \/>\n16 x 7.89 = 126.24.<br \/>\n10.4 x 5.69 = 59.176.<br \/>\n126.24 + 59.176 = 185.416.<br \/>\nso the total weight of the two bags of charcoal = $185.416.<\/p>\n<p>Question 24.<br \/>\n<strong>Higher Order Thinking<\/strong> There are 2,000 pounds in 1 ton. In the United States, the weight limit for a truck and its cargo is 40 tons. How many pounds is that? How did you find the answer?<\/p>\n<p>Answer:<br \/>\nThe number of pounds = 80,000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nThere are 2,000 pounds in 1 ton.<br \/>\nIn the United States, the weight limit for a truck and its cargo is 40 tons.<br \/>\n2000 x 40 = 80000.<br \/>\nso the number of pounds = 80,000.<\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 25.<br \/>\nWhich is equivalent to multiplying a number by 10<sup>4<\/sup>?<br \/>\nA. multiplying by 40<br \/>\nB. multiplying by 100<br \/>\nC. multiplying by 1,000<br \/>\nD. multiplying by 10,000<\/p>\n<p>Answer:<br \/>\nThe number is equivalent to multiplying a number by 10000<sup>.<\/sup><\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nmultiplying by 10,000.<br \/>\n10 x 10 x 10 x 10 = 10,000.<br \/>\nso the number equivalent to multiplying a number by 10000.<\/p>\n<p>Question 26.<br \/>\nSelect the statements that are equivalent to multiplying 20 \u00d7 10<sup>4<\/sup>.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10133\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-52.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 52\" width=\"27\" height=\"32\" \/> Add 10 to 20 four times.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10133\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-52.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 52\" width=\"27\" height=\"32\" \/> Multiply 20 by 10 four times.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10133\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-52.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 52\" width=\"27\" height=\"32\" \/> Multiply 10 by 20 four times.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10133\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-52.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 52\" width=\"27\" height=\"32\" \/> Multiply 20 by 10,000.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10133\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-52.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 52\" width=\"27\" height=\"32\" \/> Multiply 20 by 100,000.<\/p>\n<p>Answer:<br \/>\nOption B is correct.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n20 x 10<sup>4.<br \/>\n20 x 10 x 10 x 10 x 10.<br \/>\n20 x 100 x 100.<br \/>\n200000.<br \/>\nso option B is correct.<\/sup><\/p>\n<h3>Lesson 3.2 Estimate Products<\/h3>\n<p><strong>Activity<\/strong><\/p>\n<p><strong>Solve &amp; Share<\/strong><\/p>\n<p><span style=\"font-size: inherit; letter-spacing: 0px;\">Answer:<\/span><\/p>\n<p style=\"font-size: 17px;\">A school club wants to buy shirts for each of its 38 members. Each shirt costs $23. About how much money will all the shirts cost? Solve this problem any way you choose.<\/p>\n<p><span style=\"font-size: inherit; letter-spacing: 0px;\">Answer:<br \/>\n<\/span>The much money will all the shirts cost = $874.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA school club wants to buy shirts for each of its 38 members.<br \/>\nEach shirt costs $23.<br \/>\n38 x 23 = 874.<br \/>\nso the much money will all the shirts cost = $874.<\/p>\n<p>Are you asked for an exact answer or an estimate?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10127\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-52.1.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 52.1\" width=\"207\" height=\"462\" \/><\/p>\n<p><strong>Look Back! Construct Arguments<\/strong> How can you use number sense to tell that the exact answer has to be greater than $600? Explain how you know.<\/p>\n<p><strong>Visual Learning Bridge<\/strong><\/p>\n<p><strong>Essential Question<\/strong> How Can You Estimate Products?<\/p>\n<p>You can use rounding to estimate.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10286\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-522.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 522\" width=\"423\" height=\"358\" \/><\/p>\n<p><strong>A.<\/strong><br \/>\nA store needs at least $75,000 in sales per month to make a profit. If the store is open every day in March and sales average $525 per day, will the store make a profit in March?<\/p>\n<p><strong>B.<\/strong><br \/>\n<strong>Use Rounding to Estimate<\/strong><br \/>\n$525 rounds to $500.<br \/>\n31 rounds to 30.<br \/>\nFind 30 \u00d7 500.<br \/>\n30 \u00d7 500 = 15,000<br \/>\nYou know that 3 \u00d7 5 = 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10129\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-52.3.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 52.3\" width=\"116\" height=\"182\" \/><\/p>\n<p><strong>C.<\/strong><br \/>\nBoth numbers used to estimate were less than the actual numbers, so 15,000 is an underestimate. The store will actually have more than $15,000 worth of sales.<br \/>\nSo, the store will make a profit in March.<\/p>\n<p><strong>Convince Me!<\/strong> Critique Reasoning A different store needs to make at least $20,000 to make a profit in March. They average $685 a day for the month. James used rounding and estimation to say, &#8220;$685 is almost $700. $700 \u00d7 30 days is $21,000. I think it is going to be a close call!&#8221; What do you think?<\/p>\n<p>Answer:<br \/>\n$685 x 30 = 20,550.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA different store needs to make at least $20,000 to make a profit in March.<br \/>\nThey average $685 a day for the month.<br \/>\nJames used rounding and estimation to say, &#8220;$685 is almost $700.<br \/>\n$700 x 30 = $21000.<br \/>\n$685 x 30 = 20,550.<br \/>\nso they can make the profit.<\/p>\n<p><strong>Another example<\/strong><br \/>\nEstimate 24 \u00d7 398.<br \/>\n25 and 4 are compatible numbers because their product is easy to compute mentally.<br \/>\n25 \u00d7 4 = 100<br \/>\n25 \u00d7 40 = 1,000<br \/>\n25 \u00d7 400 = 10,000<br \/>\nSo, 10,000 is a good estimate for 24 \u00d7 398.<br \/>\nYou can also use compatible numbers to estimate.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10130\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-52.4.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 52.4\" width=\"91\" height=\"118\" \/><br \/>\nBoth numbers used to estimate were greater than the actual numbers.<br \/>\nSo, 10,000 is an overestimate.<\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><\/p>\n<p>Question 1.<br \/>\n<strong>Number Sense<\/strong> Each egg carton holds one dozen eggs. Michael&#8217;s chicken farm fills 121 egg cartons. He thinks that there were over 1,500 eggs. Is he correct? Use an estimate to find out.<\/p>\n<p>Answer:<br \/>\nYes, the estimation was correct.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nEach egg carton holds one dozen eggs.<br \/>\n1 dozen = 12.<br \/>\nMichael&#8217;s chicken farm fills 121 egg cartons.<br \/>\n121 is near to 125.<br \/>\n125 x 12 = 1500.<br \/>\nso the estimation was correct.<\/p>\n<p><strong>Do You Know How?<\/strong><\/p>\n<p>In 2-5, estimate. Then, tell if your estimate is an overestimate or underestimate.<\/p>\n<p>Question 2.<br \/>\n29 \u00d7 688<\/p>\n<p>Answer:<br \/>\n29 x 688 = 19,952.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 29 and 688.<br \/>\nmultiply the numbers.<br \/>\n29 x 688 = 19,952.<\/p>\n<p>Question 3.<br \/>\n210 \u00d7 733<\/p>\n<p>Answer:<br \/>\n210 x 733 = 153930.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 210 and 733.<br \/>\nmultiply the numbers.<br \/>\n210 x 733 = 153930.<\/p>\n<p>Question 4.<br \/>\n43 \u00d7 108<\/p>\n<p>Answer:<br \/>\n43 x 108 = 4644.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 43 and 108.<br \/>\nmultiply the numbers.<br \/>\n43 x 108 = 4644.<\/p>\n<p>Question 5.<br \/>\n380 \u00d7 690<\/p>\n<p>Answer:<br \/>\n380 x 690 = 262200.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 380 and 690.<br \/>\nmultiply the numbers.<br \/>\n380 x 690 = 262200.<\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p><strong>Leveled Practice<\/strong> In 6-17, estimate each product.<\/p>\n<p>Question 6.<br \/>\n180 \u00d7 586<\/p>\n<p>Answer:<br \/>\n180 x 586 = 1,05,480.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 180 and 586.<br \/>\nmultiply the numbers.<br \/>\n180 x 586 = 1,05,480.<\/p>\n<p>Question 7.<br \/>\n300 \u00d7 118<\/p>\n<p>Answer:<br \/>\n300 x 118 = 35400.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 300 and 118.<br \/>\nmultiply the numbers.<br \/>\n300 x 118 = 35400.<\/p>\n<p>Question 8.<br \/>\n19 \u00d7 513<\/p>\n<p>Answer:<br \/>\n19 x 513 = 9,747.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 19 and 513.<br \/>\nmultiply the numbers.<br \/>\n19 x 513 = 9,747.<\/p>\n<p>Question 9.<br \/>\n38 \u00d7 249<\/p>\n<p>Answer:<br \/>\n38 x 249 = 9462.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 38 and 249.<br \/>\nmultiply the numbers.<br \/>\n38 x 249 = 9462.<\/p>\n<p>Question 10.<br \/>\n11 \u00d7 803<\/p>\n<p>Answer:<br \/>\n11 x 803 = 8833.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 11 and 803.<br \/>\nmultiply the numbers.<br \/>\n11 x 803 = 8833.<\/p>\n<p>Question 11.<br \/>\n44 \u00d7 212<\/p>\n<p>Answer:<br \/>\n44 x 212 = 9328.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 44 and 212.<br \/>\nmultiply the numbers.<br \/>\n44 x 212 = 9328.<\/p>\n<p>Question 2.<br \/>\n790 \u00d7 397<\/p>\n<p>Answer:<br \/>\n790 x 397 = 313630.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 790 and 397.<br \/>\nmultiply the numbers.<br \/>\n790 x 397 = 313630.<\/p>\n<p>Question 13.<br \/>\n42 \u00d7 598<\/p>\n<p>Answer:<br \/>\n42 x 598 = 25,116.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 42 and 598.<br \/>\nmultiply the numbers.<br \/>\n42 x 598 = 25,116.<\/p>\n<p>Question 14.<br \/>\n25 \u00d7 191<\/p>\n<p>Answer:<br \/>\n25 x 191 = 4775.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 25 and 191.<br \/>\nmultiply the numbers.<br \/>\n25 x 191 = 4775.<\/p>\n<p>Question 15.<br \/>\n408 \u00d7 676<\/p>\n<p>Answer:<br \/>\n408 x 676 = 275808.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 408 and 676.<br \/>\nmultiply the numbers.<br \/>\n408 x 676 = 275808.<\/p>\n<p>Question 16.<br \/>\n290 \u00d7 12<\/p>\n<p>Answer:<br \/>\n290 x 12 = 3,480.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 290 and 12.<br \/>\nmultiply the numbers.<br \/>\n290 x 12 = 3,480.<\/p>\n<p>Question 17.<br \/>\n854 \u00d7 733<\/p>\n<p>Answer:<br \/>\n854 x 733 = 6,25,982.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 854 and 733.<br \/>\nmultiply the numbers.<br \/>\n854 x 733 = 6,25,982.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 18.<br \/>\n<strong>Reasoning<\/strong> Estimate 530 \u00d7 375. Is the estimated product closer to 150,000 or 200,000? Explain.<\/p>\n<p>Answer:<br \/>\nThe estimated product is closer to 200,000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n530 x 375 = 198,750.<br \/>\n198750 is equal to 200,000.<\/p>\n<p>Question 19.<br \/>\n<strong>Vocabulary<\/strong> Is 500 an underestimate or overestimate for the product of 12 and 53?<\/p>\n<p>Answer:<br \/>\n500 is an underestimate for the product 12 and 53.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n12 x 53 = 636.<br \/>\n10 x 50 = 500.<br \/>\n500 is an underestimate for the product 12 and 53.<\/p>\n<p>Question 20.<br \/>\nSamuel needs to estimate the product of 23 \u00d7 495. Explain two different methods Samuel can use to estimate.<\/p>\n<p>Answer:<br \/>\n23 x 495 = 11,385.<br \/>\n25 x 500 = 12500.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe product of 23 and 495.<br \/>\n23 x 495 = 11,385.<br \/>\n25 x 500 = 12500.<\/p>\n<p>Question 21.<br \/>\nRebekah said that 103 is 30 because 10 + 10 + 10 = 30. Do you agree? Explain.<\/p>\n<p>Answer:<br \/>\nNo, I do not agree with it.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nRebekah said that 103 is 30 because 10 + 10 + 10 = 30.<br \/>\n10 + 10 + 10 = 30.<br \/>\n30 is no equal to 103.<br \/>\nso I do not agree with it.<\/p>\n<p>Question 22.<br \/>\n<strong>Higher Order Thinking<\/strong> Abby counts 12 large boxes and 18 small boxes of pencils in the supply cabinet. Each large box contains 144 pencils. Each small box contains 24 pencils. Estimate the total number of pencils. Is your estimate an overestimate or an underestimate? Explain why it might be better to have an underestimate rather than an overestimate.<\/p>\n<p>Answer:<br \/>\nThe total number of pencils = 2160.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nAbby counts 12 large boxes and 18 small boxes of pencils in the supply cabinet.<br \/>\nEach large box contains 144 pencils.<br \/>\nEach small box contains 24 pencils.<br \/>\n144 x 12 =1728.<br \/>\n24\u00a0 x 18 = 432.<br \/>\n1728 + 432 = 2160.<br \/>\nso the total number of pencils = 2160.<\/p>\n<p>Question 23.<br \/>\nSusan used rounding to estimate 24 \u00d7 413 and found 20 \u00d7 400. Jeremy used compatible numbers and found 25 \u00d7 400. Whose method gives an estimate closer to the actual product? Explain.<\/p>\n<p>Is your answer reasonable?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10134\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.1.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 53.1\" width=\"94\" height=\"124\" \/><\/p>\n<p>Answer:<br \/>\nJeremy used compatible numbers and found 25 x 400 = 10000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nSusan used rounding to estimate 24 \u00d7 413 and found 20 \u00d7 400.<br \/>\nJeremy used compatible numbers and found 25 \u00d7 400.<br \/>\n24 x 413 = 9912.<br \/>\n20 x 400 = 8000.<br \/>\n25 x 400 = 10000.<br \/>\nso jeremy used compatible numbers and found 25 x 400 = 10000.<\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 24.<br \/>\nLance has 102 packages of sports cards. Each package has 28 cards. Use rounding to estimate. About how many cards does Lance have?<br \/>\nA. 2,000<br \/>\nB. 2,500<br \/>\nC. 3,000<br \/>\nD. 3,500<\/p>\n<p>Answer:<br \/>\nThe number of cards does Lance has = 3000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nLance has 102 packages of sports cards.<br \/>\nEach package has 28 cards.<br \/>\n102 x 28 = 2856.<br \/>\n2856 is near to 3000.<br \/>\nso the number of cards does Lance has = 3000.<\/p>\n<p>Question 25.<br \/>\nWhich does NOT show a reasonable estimate of 24 338?<br \/>\nA. 6,000<br \/>\nB. 7,000<br \/>\nC. 7,500<br \/>\nD. 10,000<\/p>\n<p>Answer:<br \/>\nThe reasonable estimate is 10,000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 24 and 338.<br \/>\n338 x 24 = 8,112.<br \/>\n8112 is near to 10,000.<br \/>\nso the reasonable estimate is 10,000.<\/p>\n<h3>Lesson 3.3 Multiply by 1-Digit Numbers<\/h3>\n<p><strong>Activity<\/strong><\/p>\n<p><strong>Solve &amp; Share<\/strong><\/p>\n<p>Suppose a school ordered 7 boxes of books. There are 25 books in each box. How can you use paper and pencil to find how many books were ordered? How can you check if your answer is reasonable? Solve these problems using any strategy you choose.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-10159\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-56.1.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 56.1\" width=\"171\" height=\"250\" \/><\/p>\n<p>Answer:<br \/>\nThe number of books that were ordered = 175.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nSuppose a school ordered 7 boxes of books.<br \/>\nThere are 25 books in each box.<br \/>\n7 x 25 = 175.<br \/>\nso the number of books that were ordered = 175.<\/p>\n<p>You can make sense and persevere. Formulating a plan can help you solve problems. Show your work!<\/p>\n<p><strong>Look Back!<\/strong> Without finding the exact answer, how do you know that the answer to the problem above is less than 210?<\/p>\n<p><strong>Visual Learning Bridge<\/strong><\/p>\n<p><strong>Glossary<\/strong><\/p>\n<p><strong>Essential Question<\/strong><br \/>\nWhat Is a Common Way to Essential Question Record Multiplication?<\/p>\n<p><strong>A.<\/strong><br \/>\nMs. Stockton ordered 6 boxes of T-shirts with the school name on them. Each 20 box contains 26 T-shirts. How many T-shirts did Ms. Stockton order?<\/p>\n<p>You can multiply using partial products. You can write and add the partial products in any order.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10122\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-50.8.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 50.8\" width=\"115\" height=\"183\" \/><\/p>\n<p><strong>B.<\/strong><br \/>\n<strong>One Way to Record Multiplication<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10123\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-50.9.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 50.9\" width=\"308\" height=\"251\" \/><\/p>\n<p><strong>C.<\/strong><br \/>\n<strong>Another Way to Record Multiplication<\/strong><br \/>\nYou can multiply each place value in order, beginning with the ones. Regroup if needed. Add any regrouped values to each place value.<br \/>\n<strong>Step 1:<\/strong> Multiply by the ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10124\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-50.10.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 50.10\" width=\"263\" height=\"107\" \/><br \/>\n<strong>Step 2:<\/strong> Multiply by the tens.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10125\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-50.11.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 50.11\" width=\"367\" height=\"168\" \/><br \/>\nMrs. Stockton ordered 156 T-shirts.<\/p>\n<p><strong>Convince Me!<\/strong> <strong>Critique Reasoning<\/strong> A student did the calculation at the right. What did this student do wrong? What is the correct answer?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10126\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-50.12.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 50.12\" width=\"148\" height=\"136\" \/><\/p>\n<p><strong>Another example!<\/strong><br \/>\nFind 4 \u00d7 156.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10132\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-52.14.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 52.14\" width=\"651\" height=\"270\" \/><\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><\/p>\n<p>Question 1.<br \/>\nUse place value to explain each step in finding 3 \u00d7 2,746.<\/p>\n<p>Answer:<br \/>\nThe product is 8238.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe numbers are 3 and 2746.<br \/>\n3 x 2746 = 8238.<br \/>\n6 x 3 ones = 18; 18 = 1 ten and 8 ones.<br \/>\n4 x 3 tens = 12 tens; 12 tens + 1 ten = 13 tens = 1 hundred 3 tens.<br \/>\n7 x 3 hundreds = 21 hundreds + 1 hundred = 22 hundreds; 2 thousands 2 hundreds.<br \/>\n2 x 3 thousands = 6 thousands + 2 thousands; 8 thousands.<br \/>\nso the product is 8238.<\/p>\n<p><strong>Do You Know How?<\/strong><\/p>\n<p>For 2-5, find each product. Estimate to check if your answer is reasonable.<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10135\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.2.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 53.2\" width=\"51\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\n23 x 4 = 92.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 23 and 4.<br \/>\nmultiply the numbers.<br \/>\n23 x 4 = 92.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14050\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-1.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-1\" width=\"43\" height=\"60\" \/><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10148\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.22.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 53.22\" width=\"58\" height=\"58\" \/><\/p>\n<p>Answer:<br \/>\n378 x 2 = 756.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 378 and 2.<br \/>\nmultiply the numbers.<br \/>\n378 x 2 = 756.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14052\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-2.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-2\" width=\"64\" height=\"90\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10136\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.3.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 53.3\" width=\"53\" height=\"57\" \/><\/p>\n<p>Answer:<br \/>\n157 x 5 = 785.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 157 and 5.<br \/>\nmultiply the numbers.<br \/>\n157 x 5 = 785.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14054\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-3.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-3\" width=\"52\" height=\"53\" \/><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10137\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.4.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 53.4\" width=\"62\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\n1746 x 3 = 5238.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 1746 and 3.<br \/>\nmultiply the numbers.<br \/>\n1746 x 3 = 5238.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14055\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-4.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-4\" width=\"62\" height=\"65\" \/><\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p>For 6-13, find each product. Estimate to check if your answer is reasonable.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10138\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.5.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 53.5\" width=\"60\" height=\"61\" \/><\/p>\n<p>Answer:<br \/>\n519 x 4 = 2076.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 519 and 4.<br \/>\nmultiply the numbers.<br \/>\n519 x 4 = 2076.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14056\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-5.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-5\" width=\"49\" height=\"53\" \/><\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10139\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.6.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 53.6\" width=\"52\" height=\"57\" \/><\/p>\n<p>Answer:<br \/>\n28 x 3 = 84.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 28 and 3.<br \/>\nmultiply the numbers.<br \/>\n28 x 3 = 84.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14058\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-6.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-6\" width=\"35\" height=\"57\" \/><\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10140\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.7.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 53.7\" width=\"55\" height=\"65\" \/><\/p>\n<p>Answer:<br \/>\n72 x 5 = 360.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 72 and 5.<br \/>\nmultiply the numbers.<br \/>\n72 x 5 = 360.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14059\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-7.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-7\" width=\"71\" height=\"58\" \/><\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10141\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.8.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 53.8\" width=\"57\" height=\"54\" \/><\/p>\n<p>Answer:<br \/>\n138 x 5 = 690.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 138 and 5.<br \/>\nmultiply the numbers.<br \/>\n138 x 5 = 690.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14060\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-8.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-8\" width=\"49\" height=\"70\" \/><\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10142\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.9.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 53.9\" width=\"55\" height=\"71\" \/><\/p>\n<p>Answer:<br \/>\n27 x 3 = 81.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 27 and 3.<br \/>\nmultiply the numbers.<br \/>\n27 x 3 = 81.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14061\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-9.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-9\" width=\"89\" height=\"51\" \/><\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10143\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.10.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 53.10\" width=\"63\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\n123 x 9 = 1107.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 123 and 9.<br \/>\nmultiply the numbers.<br \/>\n123 x 9 = 1107.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14062\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-10.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-10\" width=\"58\" height=\"72\" \/><\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10144\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.11.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 53.11\" width=\"64\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\n1445 x 5 = 7225.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 1445 and 5.<br \/>\nmultiply the numbers.<br \/>\n1445 x 5 = 7225.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14063\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-11.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-11\" width=\"42\" height=\"59\" \/><\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10145\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.13.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 53.13\" width=\"82\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\n2204 x 6 = 13224.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 2204 and 6.<br \/>\nmultiply the numbers.<br \/>\n2204 x 6 = 13224.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14065\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-12.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-12\" width=\"81\" height=\"71\" \/><\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>For 14-16, use the information in the pictures below to find each mass.<\/p>\n<p>Question 14.<br \/>\nElephant Seal<\/p>\n<p>Answer:<br \/>\nThe mass of Elephant Seal = 3480 kg.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe weight of elephants is 8 times as of zebra.<br \/>\nthe weight of zebra is 435 kg.<br \/>\n435 x 8 = 3480 kg.<\/p>\n<p>Question 15.<br \/>\nSports Car<\/p>\n<p>Answer:<br \/>\nThe weight of the sports car = 1740 kg.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe weight of the sports car is 4 times as of zebra.<br \/>\nthe weight of zebra is 435 kg.<br \/>\n435 x 4 =1740.<br \/>\nso the weight of the sports car = 1740 kg.<\/p>\n<p>Question 16.<br \/>\nBison<\/p>\n<p>Answer:<br \/>\nThe weight of the Bison = 870 kg.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe weight of the sports car is 2 times as of zebra.<br \/>\nthe weight of zebra is 435 kg.<br \/>\n435 x 2 =870.<br \/>\nso the weight of the sports Bison = 870 kg.<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-10146\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.14.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 53.14\" width=\"705\" height=\"279\" \/><\/p>\n<p>Question 17.<br \/>\n<strong>Model with Math<\/strong> Last year, Anthony&#8217;s grandmother gave him 33 silver coins and 16 gold coins to start a coin collection. Now Anthony has six times as many coins in his collection. How many coins does Anthony have in his collection? Complete the bar diagram to show your work.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10147\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.15.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 53.15\" width=\"266\" height=\"115\" \/><\/p>\n<p>Answer:<br \/>\nThe number of coins does Anthony has in his collection = 294.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nLast year, Anthony&#8217;s grandmother gave him 33 silver coins and 16 gold coins to start a coin collection.<br \/>\nNow Anthony has six times as many coins in his collection.<br \/>\n33 x 6 = 198.<br \/>\n16 x 6 = 96.<br \/>\n198 + 96 = 294.<br \/>\nso the number of coins does Anthony have in his collection = 294.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14216\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-20.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-20\" width=\"219\" height=\"97\" \/><\/p>\n<p>Question 18.<br \/>\n<strong>Vocabulary<\/strong> Use Distributive or Commutative to complete the definition.<br \/>\nAccording to the ____ Property of Multiplication, factors can be multiplied in any order and the product remains the same.<\/p>\n<p>Answer:<br \/>\nBy using the commutative property, factors can be multiplied in any order.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nBy using the commutative property, factors can be multiplied in any order.<br \/>\nfor example:<br \/>\n2 + 3 + 5.<br \/>\n5 + 5 = 10.<br \/>\nso the product remains the same.<\/p>\n<p>Question 19.<br \/>\n<strong>Higher Order Thinking<\/strong> Do you think you could use a multiplication algorithm to multiply a 4-digit number by a 1-digit number? Explain.<\/p>\n<p>Answer:<br \/>\nYes, we can use a 4-digit number by a 1-digit number.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nwe can use a 4-digit number by a 1-digit number.<br \/>\nfor example:<br \/>\n1234 x 1 = 1234.<br \/>\nso we can multiply a 4-digit number by a 1-digit number.<\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 20.<br \/>\nFind the product.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10149\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-54.1.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 54.1\" width=\"80\" height=\"78\" \/><\/p>\n<p>Answer:<br \/>\n768 x 8 = 6114.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 768 and 8.<br \/>\nmultiply the numbers.<br \/>\n768 x 8 = 6114.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14066\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-13.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-13\" width=\"63\" height=\"68\" \/><\/p>\n<p>Question 21.<br \/>\nFind the product.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10150\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-54.2.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 54.2\" width=\"99\" height=\"82\" \/><\/p>\n<p>Answer:<br \/>\n1945 x 3 = 5835.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 1945 and 3.<br \/>\nmultiply the numbers.<br \/>\n1945 x 3 = 5835.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14067\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-14.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-14\" width=\"79\" height=\"98\" \/><\/p>\n<h3>Lesson 3.4 Multiply 2-Digit by 2-Digit Numbers<\/h3>\n<p><strong>Solve &amp; Share<\/strong><\/p>\n<p>Ms. Silva has 12 weeks to train for a race. Over the course of one week, she plans to run 15 miles. If she continues this training, how many miles will Ms. Silva run before the race? Solve this problem using any strategy you choose.<\/p>\n<p>Answer:<br \/>\nThe number of miles will Ms. Silva run before the race = 180 miles.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nMs. Silva has 12 weeks to train for a race.<br \/>\nOver the course of one week, she plans to run 15 miles.<br \/>\n12 x 15 = 180.<br \/>\nso the number of miles will Ms. Silva run before the race = 180 miles.<\/p>\n<p>You can use partial products to help make sense of and solve the problem. Show your work in the space below!<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10151\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-54.3.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 54.3\" width=\"115\" height=\"379\" \/><\/p>\n<p><strong>Look Back! Critique Reasoning<\/strong> Dwayne estimated 60 miles as an answer to the above problem. Is this estimate reasonable? If not, what mistake do you think Dwayne made?<\/p>\n<p><strong>Visual Learning Bridge<\/strong><\/p>\n<p><strong>Essential Question<\/strong> What Is a Common Way to Record Multiplication?<\/p>\n<p><strong>A.<\/strong><br \/>\nA ferry carried 37 cars per trip on the weekend. If the ferry made 11 trips on Saturday and 13 trips on Sunday, how many cars did it carry on the weekend?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10152\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-54.4.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 54.4\" width=\"263\" height=\"179\" \/><\/p>\n<p>You can add to find 24 trips were made on Saturday and Sunday. So the ferry carried 37 \u00d7 24 cars on the weekend.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10153\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-54.5.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 54.5\" width=\"138\" height=\"222\" \/><\/p>\n<p><strong>B.<\/strong><br \/>\n<strong>Use Partial Products<\/strong><br \/>\nUse the area model to find the partial products for 24 \u00d7 37.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10154\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-54.6.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 54.6\" width=\"88\" height=\"158\" \/><br \/>\nThe ferry carried 888 cars on the weekend.<\/p>\n<p><strong>C.<\/strong><br \/>\n<strong>Use the Standard Algorithm<\/strong><br \/>\nStep 1: Multiply by the ones.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10155\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-54.7.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 54.7\" width=\"63\" height=\"83\" \/><br \/>\nStep 2: Multiply by the tens.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10156\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-54.8.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 54.8\" width=\"220\" height=\"146\" \/><br \/>\nThe ferry carried 888 cars.<\/p>\n<p><strong>Convince Me! Make Sense and Persevere<\/strong> What are ways you can estimate to check the reasonableness of the answer?<\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><\/p>\n<p>Question 1.<br \/>\nJanet said that the standard algorithm is just a shortcut for partial products. Do you agree? Explain.<\/p>\n<p>Answer:<br \/>\nYes, I will agree.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nJanet said that the standard algorithm is just a shortcut for partial products.<br \/>\nfor example:<br \/>\n37 x 24 = 148 is the standard algorithm.<br \/>\n37 x 24 = 888 is the partial products.<br \/>\nso i will agree.<\/p>\n<p><strong>Do You Know How?<\/strong><\/p>\n<p>For 2, use an algorithm or partial products to find the product. Estimate to check if your answer is reasonable.<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10157\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-54.9.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 54.9\" width=\"289\" height=\"152\" \/><\/p>\n<p>Answer:<br \/>\n41 x 23 = 943.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 41 and 23.<br \/>\n40 + 1 = 43.<br \/>\n20 + 3 = 23.<br \/>\n20 x 40 = 800.<br \/>\n20 x 1 = 20.<br \/>\n800 + 20 = 820.<br \/>\n3 x 40 = 120.<br \/>\n3 x 1 = 3.<br \/>\n120 + 3 = 123.<br \/>\n820 + 123 = 943.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14068\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-15.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-15\" width=\"233\" height=\"138\" \/><\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p><strong>Leveled Practice<\/strong> For 3-14, use an algorithm or partial products to find the product. Use and draw area models as needed.<\/p>\n<p>Use estimation to check if your answers are reasonable.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10158\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-54.10.png\" alt=\"Envision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 54.10\" width=\"107\" height=\"139\" \/><\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10161\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-54.11.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 54.11\" width=\"206\" height=\"151\" \/><\/p>\n<p>Answer:<br \/>\n16 x 22 = 352.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 16 and 22.<br \/>\n10 + 6 = 16.<br \/>\n20 + 2 = 22.<br \/>\n10 x 20 = 200.<br \/>\n20 x 6 = 120.<br \/>\n200 + 120 = 320.<br \/>\n2 x 10 = 20.<br \/>\n2 x 6 = 12.<br \/>\n20 + 12 = 32.<br \/>\n320 + 32 = 352.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14069\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-16.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-16\" width=\"158\" height=\"169\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10162\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-54.12.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 54.12\" width=\"198\" height=\"150\" \/><\/p>\n<p>Answer:<br \/>\n15 x 16 = 240.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 16 and 15.<br \/>\n10 + 5 = 15.<br \/>\n10 + 6 = 16.<br \/>\n10 x 10 = 100.<br \/>\n10 x 5 = 50.<br \/>\n100 + 50 = 150.<br \/>\n6 x 10 = 60.<br \/>\n6 x 5 = 30.<br \/>\n60 + 30 = 90.<br \/>\n150 + 90 = 240.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14072\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-17.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-17\" width=\"138\" height=\"131\" \/><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10163\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-54.13.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 54.13\" width=\"316\" height=\"143\" \/><\/p>\n<p>Answer:<br \/>\n27 x 12 = 324.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 27 and 12.<br \/>\n20 + 7 = 27.<br \/>\n10 + 2 = 12.<br \/>\n10 x 20 = 200.<br \/>\n10 x 7 = 70.<br \/>\n200 + 70 = 270.<br \/>\n2 x 20 = 40.<br \/>\n2 x 7 = 14.<br \/>\n40 + 14 = 54.<br \/>\n270 + 54 = 324.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14075\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-18.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-18\" width=\"260\" height=\"133\" \/><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10164\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-54.14.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 54.14\" width=\"251\" height=\"165\" \/><\/p>\n<p>Answer:<br \/>\n18 x 15 = 270.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 18 and 15.<br \/>\n10 + 8 = 18.<br \/>\n10 + 5 = 15.<br \/>\n10 x 10 = 100.<br \/>\n10 x 8 = 80.<br \/>\n100 + 80 = 180.<br \/>\n5 x 10 = 50.<br \/>\n5 x 8 = 40.<br \/>\n50 + 40 = 90.<br \/>\n180 + 90 = 270.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14078\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-19.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-19\" width=\"218\" height=\"139\" \/><\/p>\n<p>Question 7.<br \/>\n53 \u00d7 17<\/p>\n<p>Answer:<br \/>\n53 x 17 = 901.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 53 and 17.<br \/>\nmultiply the numbers.<br \/>\n53 x 17 = 901.<\/p>\n<p>Question 8.<br \/>\n81 \u00d7 46<\/p>\n<p>Answer:<br \/>\n81 x 46 = 901.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 81 and 46.<br \/>\n81 x 46 = 901.<\/p>\n<p>Question 9.<br \/>\n15 \u00d7 16<\/p>\n<p>Answer:<br \/>\n15 x 16 = 240.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 15 and 16.<br \/>\n15 x 16 = 240.<\/p>\n<p>Question 10.<br \/>\n17 \u00d7 21<\/p>\n<p>Answer:<br \/>\n17 x 21 = 357.<br \/>\nExplanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 17 and 21.<br \/>\n17 x 21 = 357.<\/p>\n<p>Question 11.<br \/>\n12 \u00d7 22<\/p>\n<p>Answer:<br \/>\n12 x 22 = 264.<br \/>\nExplanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 12 and 22.<br \/>\n12 x 22 = 264.<\/p>\n<p>Question 12.<br \/>\n38 \u00d7 41<\/p>\n<p>Answer:<br \/>\n38 x 41 = 1558.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 38 and 41.<br \/>\n38 x 41 = 1558.<\/p>\n<p>Question 13.<br \/>\n42 \u00d7 52<\/p>\n<p>Answer:<br \/>\n42 x 52 = 2184.<br \/>\nExplanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 42 and 52.<br \/>\n42 x 52 = 2184.<\/p>\n<p>Question 14.<br \/>\n38 \u00d7 19<\/p>\n<p>Answer:<br \/>\n38 x 19 = 722.<br \/>\nExplanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 38 and 19.<br \/>\n38 x 19 = 722.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 15.<br \/>\n<strong>Number Sense<\/strong> The Queen Mary 2&#8217;s height above water is about the same as a 14-story building. What is the Queen Mary 2&#8217;s height above water?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10165\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-62.1.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 62.1\" width=\"375\" height=\"118\" \/><\/p>\n<p>Answer:<br \/>\nThe Queen Mary 2&#8217;s height above water = 168 feet.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nThe Queen Mary 2&#8217;s height above water is about the same as a 14-story building.<br \/>\n14 x 12 = 168.<br \/>\nso the Queen Mary 2&#8217;s height above water = 168 feet.<\/p>\n<p>Question 16.<br \/>\n<strong>Model with Math<\/strong> Write the multiplication equation illustrated by the array drawn on the grid. Find the partial products. Then calculate the final product.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10166\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-62.5.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 62.5\" width=\"183\" height=\"136\" \/><\/p>\n<p>Answer:<br \/>\nThe partial products are 18 and 15.<br \/>\nthe final product is 270.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 18 and 15.<br \/>\n10 + 8 = 18.<br \/>\n10 + 5 = 15.<br \/>\n10 x 10 = 100.<br \/>\n10 x 8 = 80.<br \/>\n100 + 80 = 180.<br \/>\n5 x 10 = 50.<br \/>\n5 x 8 = 40.<br \/>\n50 + 40 = 90.<br \/>\n180 + 90 = 270.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14217\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-21.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-21\" width=\"193\" height=\"138\" \/><\/p>\n<p>Question 17.<br \/>\n<strong>Higher Order Thinking<\/strong> An elevator can carry 15 adults or 20 children at one time. During the course of a day, the elevator carries a full passenger load 52 times. If all the passengers were children, how many more people would the elevator carry than if all the passengers were adults?<\/p>\n<p>Answer:<br \/>\nThe more people would the elevator carry than if all the passengers were adults = 1040.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nAn elevator can carry 15 adults or 20 children at one time.<br \/>\nDuring the course of a day, the elevator carries a full passenger load 52 times.<br \/>\n52 x 20 = 1040.<br \/>\nso the more people would the elevator carry than if all the passengers were adults = 1040.<\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 18.<br \/>\nTen years ago, Melissa planted a tree in her backyard. She has taken a photo of the tree every week so she can see how it has grown as time passed. How many photos of the tree does Melissa now have?<br \/>\nA. 62 photos<br \/>\nB. 120 photos<br \/>\nC. 520 photos<br \/>\nD. 620 photos<br \/>\nThere are 52 weeks in one year.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10167\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-64.1.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 64.1\" width=\"96\" height=\"130\" \/><\/p>\n<p>Answer:<br \/>\nThe number of photos of the tree does Melissa now has = 520 photos.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nTen years ago, Melissa planted a tree in her backyard.<br \/>\nShe has taken a photo of the tree every week so she can see how it has grown as time passed.<br \/>\nthere are 52 weeks in one year.<br \/>\n52 x 10 = 520.<br \/>\nso the number of photos of the tree does Melissa now have = 520 photos.<\/p>\n<p>Question 19.<br \/>\nMr. Morris bought sketchpads for 24 of his students. Each pad contained 50 sheets. How many sheets of paper were in all the pads?<br \/>\nA. 1,000 sheets<br \/>\nB. 1,200 sheets<br \/>\nC. 1,400 sheets<br \/>\nD. 1,600 sheets<\/p>\n<p>Answer:<br \/>\nThe number of sheets of paper was in all the pads = 1200 sheets.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nMr. Morris bought sketchpads for 24 of his students.<br \/>\nEach pad contained 50 sheets.<br \/>\n24 x 50 = 1200.<br \/>\nso the number of sheets of paper were in all the pads = 1200 sheets.<\/p>\n<h3>Lesson 3.5 Multiply 3-Digit by 2-Digit Numbers<\/h3>\n<p><strong>Activity<\/strong><\/p>\n<p><strong>Solve &amp; Share<\/strong><\/p>\n<p>A local charity collected 163 cans of food each day for 14 days. How many cans did they collect in all? Explain how you found your answer.<\/p>\n<p>You can use what you know about multiplying 2-digit numbers by 2-digit numbers to help solve the problem.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10168\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-64.3.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 64.3\" width=\"293\" height=\"350\" \/><\/p>\n<p>Answer:<br \/>\nThe number of cans did they collect in all = 2282 cans.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA local charity collected 163 cans of food each day for 14 days.<br \/>\n163 x 14 = 2282.<br \/>\nso the number of cans did they collect in all = 2282 cans.<\/p>\n<p><strong>Look Back!<\/strong> <strong>Make Sense and Persevere<\/strong> How can you check that your answer is reasonable?<\/p>\n<p><strong>Visual Learning Bridge<\/strong><\/p>\n<p><strong>Essential Question<\/strong> How Do You Multiply 3-Digit Numbers by 2-Digit Numbers?<\/p>\n<p><strong>A.<\/strong><br \/>\nLast month a bakery sold 389 boxes of bagels. How many bagels did the store sell last month? Find 12 \u00d7 389.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10169\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-64.4.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 64.4\" width=\"332\" height=\"233\" \/><br \/>\nYou can show all partial products or you can use the standard algorithm.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10170\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-64.5.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 64.5\" width=\"185\" height=\"192\" \/><\/p>\n<p><strong>B.<\/strong><br \/>\n<strong>Step 1<\/strong><br \/>\nTo use the Standard Algorithm, first multiply by the ones. Regroup as needed.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10173\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-70.20.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 70.20\" width=\"62\" height=\"71\" \/><br \/>\n2 \u00d7 9 ones = 18 ones or 1 ten and 8 ones<br \/>\n2 \u00d7 8 tens =16 tens<br \/>\n16 tens + 1 ten = 17 tens<br \/>\n17 tens = 1 hundred 7 tens<br \/>\n2 \u00d7 3 hundreds = 6 hundreds<br \/>\n6 hundreds + 1 hundred = 7 hundreds<\/p>\n<p><strong>C.<\/strong><br \/>\n<strong>Step 2<\/strong><br \/>\nMultiply by the tens.<br \/>\nRegroup as needed.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10171\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-70.1.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 70.1\" width=\"77\" height=\"94\" \/><br \/>\n10 \u00d7 9 ones = 90 ones<br \/>\n10 \u00d7 8 tens = 80 tens,<br \/>\nor 8 hundred 10 \u00d7 3 hundred = 30 hundred, or 3 thousand<\/p>\n<p><strong>D.<\/strong><br \/>\n<strong>Step 3<\/strong><br \/>\nAdd to get the final product.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10172\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-70.2.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 70.2\" width=\"86\" height=\"118\" \/><br \/>\nThe store sold 4,668 bagels last month.<\/p>\n<p><strong>Convince Me! Construct Arguments<\/strong> Is 300 10 a good estimate for the number of bagels sold at the bakery? Explain.<\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><\/p>\n<p>Question 1.<br \/>\nA theater can seat 540 people at one time. How many tickets are sold if the theater sells out every seat for one 30-day month?<\/p>\n<p>Answer:<br \/>\nThe number of tickets is sold if the theater sells out every seat for one 30-day month = 16200.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA theater can seat 540 people at one time.<br \/>\n540 x 30 = 16200.<br \/>\nso the number of tickets are sold if the theater sells out every seat for one 30-day month = 16200.<\/p>\n<p>Question 2.<br \/>\nNumber Sense Is 500 30 a good estimate for the number of tickets sold at the theater in one month? Explain.<\/p>\n<p>Answer:<br \/>\nYes, it is a good estimate for the number of tickets sold at the theater in one month.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA theater can seat 540 people at one time.<br \/>\n540 is equal to 500.<br \/>\n500 x 30 = 15000.<br \/>\nso it is a good estimate for the number of tickets sold at the theater in one month.<\/p>\n<p><strong>Do You Know How?<\/strong><\/p>\n<p>In 3-6, find each product. Estimate to check that your answer is reasonable.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10174\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.2.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.2\" width=\"74\" height=\"57\" \/><\/p>\n<p>Answer:<br \/>\n236 x 46 = 10856.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 236 and 46.<br \/>\nmultiply the numbers.<br \/>\n236 x 46 = 10856.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14218\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-22.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-22\" width=\"91\" height=\"76\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10175\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.3.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.3\" width=\"60\" height=\"66\" \/><\/p>\n<p>Answer:<br \/>\n61 x 25 = 5185.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 61 and 25.<br \/>\nmultiply the numbers.<br \/>\n61 x 25 = 5185.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14219\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-23.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-23\" width=\"74\" height=\"71\" \/><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10176\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.4.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.4\" width=\"69\" height=\"66\" \/><\/p>\n<p>Answer:<br \/>\n951 x 62 = 58962.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 951 and 62.<br \/>\nmultiply the numbers.<br \/>\n951 x 62 = 58962.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14220\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-24.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-24\" width=\"76\" height=\"75\" \/><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10177\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.5.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.5\" width=\"69\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\n185 x 5 = 925.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 185 and 5.<br \/>\nmultiply the numbers.<br \/>\n185 x 5 = 925.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14221\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-25.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-25\" width=\"60\" height=\"79\" \/><\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p><strong>Leveled Practice<\/strong> In 7-18, find each product. Estimate to check that your answer is reasonable.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10178\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.6.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.6\" width=\"59\" height=\"63\" \/><\/p>\n<p>Answer:<br \/>\n51 x 10 = 510.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 51 and 10.<br \/>\nmultiply the numbers.<br \/>\n51 x 10 = 510.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14222\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-26.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-26\" width=\"69\" height=\"70\" \/><\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10179\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.7.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.7\" width=\"67\" height=\"65\" \/><\/p>\n<p>Answer:<br \/>\n892 x 18 = 16056.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 892 and 18.<br \/>\nmultiply the numbers.<br \/>\n892 x 18 = 16056.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14223\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-27.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-27\" width=\"87\" height=\"79\" \/><\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10180\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.8.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.8\" width=\"71\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\n946 x 33 = 31218.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 946 and 33.<br \/>\nmultiply the numbers.<br \/>\n946 x 33 = 31218.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14224\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-28.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-28\" width=\"71\" height=\"68\" \/><\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10181\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.10.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.10\" width=\"74\" height=\"65\" \/><\/p>\n<p>Answer:<br \/>\n735 x 41 = 30135.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 735 and 41.<br \/>\nmultiply the numbers.<br \/>\n735 x 41 = 30135.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14225\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-29.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-29\" width=\"96\" height=\"77\" \/><\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10182\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.13.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.13\" width=\"71\" height=\"59\" \/><\/p>\n<p>Answer:<br \/>\n100 x 25 = 2500.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 100 and 25.<br \/>\nmultiply the numbers.<br \/>\n100 x 25 = 2500.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14226\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-30.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-30\" width=\"73\" height=\"69\" \/><\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10183\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.14.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.14\" width=\"61\" height=\"58\" \/><\/p>\n<p>Answer:<br \/>\n81 x 11 = 891.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 81 and 11.<br \/>\nmultiply the numbers.<br \/>\n81 x 11 = 891.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14227\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-31.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-31\" width=\"56\" height=\"64\" \/><\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10184\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.15.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.15\" width=\"53\" height=\"53\" \/><\/p>\n<p>Answer:<br \/>\n106 x 7 = 742.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 106 and 7.<br \/>\nmultiply the numbers.<br \/>\n106 x 7 = 742.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14228\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-32.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-32\" width=\"69\" height=\"71\" \/><\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10185\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.16.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.16\" width=\"60\" height=\"63\" \/><\/p>\n<p>Answer:<br \/>\n90 x 59 = 5310.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 90 and 59.<br \/>\nmultiply the numbers.<br \/>\n90 x 59 = 5310.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14229\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-33.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-33\" width=\"75\" height=\"82\" \/><\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10186\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.17.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.17\" width=\"72\" height=\"63\" \/><\/p>\n<p>Answer:<br \/>\n360 x 18 = 6480.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 360 and 18.<br \/>\nmultiply the numbers.<br \/>\n360 x 18 = 6480.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14230\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-34.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-34\" width=\"72\" height=\"64\" \/><\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10187\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.18.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.18\" width=\"74\" height=\"61\" \/><\/p>\n<p>Answer:<br \/>\n222 x 75 = 16650.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 222 and 75.<br \/>\nmultiply the numbers.<br \/>\n222 x 75 = 16650.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14231\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-35.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-35\" width=\"64\" height=\"77\" \/><\/p>\n<p>Question 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10188\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.19.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.19\" width=\"66\" height=\"57\" \/><\/p>\n<p>Answer:<br \/>\n481 x 35 = 16835.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 481 and 35.<br \/>\nmultiply the numbers.<br \/>\n481 x 35 = 16835.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14232\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-36.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-36\" width=\"72\" height=\"73\" \/><\/p>\n<p>Question 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10189\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.20.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.20\" width=\"69\" height=\"67\" \/><\/p>\n<p>Answer:<br \/>\n659 x 17 = 11203.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 659 and 17.<br \/>\nmultiply the numbers.<br \/>\n659 x 17 = 11203.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14234\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-37.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-37\" width=\"62\" height=\"72\" \/><\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 19.<br \/>\n<strong>enVision\u00ae STEM<\/strong> How many times does a rabbit&#8217;s heart beat in 1 hour?<\/p>\n<p>Remember, there are 60 minutes in 1 hour.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10190\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-72.1.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 72.1\" width=\"325\" height=\"282\" \/><\/p>\n<p>Answer:<br \/>\nThe number of times does a rabbit&#8217;s heartbeat in 1 hour = 212 beats.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n1 hour = 60 minutes.<br \/>\n212 beats per minute.<br \/>\nso the number of times does a rabbit&#8217;s heartbeat in 1 hour = 212 beats.<\/p>\n<p>Question 20.<br \/>\nIn 1 hour, how many more times does a rabbit&#8217;s heart beat than a dog&#8217;s heart? Write an equation to show your work.<\/p>\n<p>Answer:<br \/>\nThe number of more times does a rabbit&#8217;s heartbeat than a dog&#8217;s heart = 112.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nheart rate of the dog for a minute = 100.<br \/>\nheart rate of the rabbit for a minute = 212.<br \/>\n212 &#8211; 100 = 112.<br \/>\nso the number of more times does a rabbit&#8217;s heartbeat than a dog&#8217;s heart = 112.<\/p>\n<p>Question 21.<br \/>\n<strong>Construct Arguments<\/strong> Is 3,198 a reasonable product for 727 \u00d7 44? Why or why not?<\/p>\n<p>Answer:<br \/>\nYes, it is a reasonable product.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 727 and 44.<br \/>\nmultiply the two numbers.<br \/>\n727 x 44 = 31,988.<br \/>\nyes, it is a reasonable product.<\/p>\n<p>Question 22.<br \/>\n<strong>Higher Order Thinking<\/strong> A garden store sells plants in flats. There are 6 plants in each tray. Each flat has 6 trays. The garden store sold 18 flats on Saturday and 21 flats on Sunday. How many plants did the garden store sell in all?<\/p>\n<p>Answer:<br \/>\nThe number of plants did the garden store sell in all = 234.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA garden store sells plants in flats.<br \/>\nThere are 6 plants in each tray.<br \/>\nEach flat has 6 trays.<br \/>\nThe garden store sold 18 flats on Saturday and 21 flats on Sunday.<br \/>\n18 x 6 = 108.<br \/>\n21 x 6 = 126.<br \/>\n108 + 126 = 234.<br \/>\nso the number of plants did the garden store sell in all = 234.<\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 23.<br \/>\nTricia is building a rectangular patio. The patio will be 108 bricks wide and 19 bricks long. How many bricks does she need to build the patio?<\/p>\n<p>Answer:<br \/>\nThe number of bricks does she need to build the patio = 2052.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nTricia is building a rectangular patio.<br \/>\nThe patio will be 108 bricks wide and 19 bricks long.<br \/>\narea of the rectangle = l x b.<br \/>\nwhere l = length and b = breadth.<br \/>\n108 x 19 = 2052.<br \/>\nso the number of bricks does she need to build the patio = 2052.<\/p>\n<p>Question 24.<br \/>\nWhat is the product?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10191\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-72.3.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 72.3\" width=\"57\" height=\"51\" \/><br \/>\nA. 1,560<br \/>\nB. 1,568<br \/>\nC. 4,268<br \/>\nD. 4,368<\/p>\n<p>Answer:<br \/>\n312 x 14 = 4368.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 312 and 14.<br \/>\nmultiply the two numbers.<br \/>\n312 x 14 = 4368.<\/p>\n<h3>Lesson 3.6 Multiply Whole Numbers with Zeros<\/h3>\n<p><strong>Activity<\/strong><\/p>\n<p><strong>Solve &amp; Share<\/strong><\/p>\n<p>A school district is replacing all of the desks in its classrooms. There are 103 classrooms and each classroom needs 24 new desks. How many desks will the school district need to buy? Solve this problem any way you choose!<\/p>\n<p>Use what you know about multiplying 3-digit and 2-digit numbers. Show your work!<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10192\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-72.4.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 72.4\" width=\"118\" height=\"392\" \/><\/p>\n<p>Answer:<br \/>\nThe number of desks will the school district need to buy = 2472.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA school district is replacing all of the desks in its classrooms.<br \/>\nThere are 103 classrooms and each classroom needs 24 new desks.<br \/>\n103 x 24 = 2472.<br \/>\nso the number of desks will the school district need to buy = 2472.<\/p>\n<p><strong>Look Back! Make Sense and Persevere<\/strong> What is a good estimate for the problem above? Explain.<\/p>\n<p><strong>Visual Learning Bridge<\/strong><\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Multiply with Zeros?<\/p>\n<p><strong>A.<\/strong><br \/>\nAn antique steam train makes one sight-seeing tour each day. If every seat is filled for each trip, how many passengers can it carry for 31 tours?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10193\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-72.5.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 72.5\" width=\"383\" height=\"279\" \/><\/p>\n<p>The standard algorithm does not change when there is a zero in a factor.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10194\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-72.6.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 72.6\" width=\"104\" height=\"139\" \/><\/p>\n<p><strong>B.<\/strong><br \/>\n<strong>Step 1<\/strong><br \/>\nFind 31 \u00d7 208.<br \/>\nEstimate:<br \/>\n30 \u00d7 200 = 6,000<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10195\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.1.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.1\" width=\"157\" height=\"130\" \/><\/p>\n<p><strong>C.<\/strong><br \/>\n<strong>Step 2<\/strong><br \/>\nMultiply by the ones.<br \/>\nRegroup if necessary.<br \/>\nRemember that multiplying with a zero gives a product of zero.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10196\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.2.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.2\" width=\"58\" height=\"85\" \/><\/p>\n<p><strong>D.<\/strong><br \/>\n<strong>Step 3<\/strong><br \/>\nMultiply by the tens.<br \/>\nRegroup if necessary.<br \/>\nAdd to get the final product.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10197\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.3.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.3\" width=\"97\" height=\"135\" \/><br \/>\nThe train can carry 6,448 passengers.<\/p>\n<p><strong>Convince Me! Model with Math<\/strong> Suppose the train fills an average of 102 seats for each tour. What is a reasonable estimate for the number of passengers that the train can carry in 28 tours? Write an equation to show your work.<\/p>\n<p>Answer:<br \/>\nThe number of passengers that the train can carry in 28 tours = 2856.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nSuppose the train fills an average of 102 seats for each tour.<br \/>\nthe two numbers are 102 and 28.<br \/>\n102 x 28 = 2856.<br \/>\nso the number of passengers that the train can carry in 28 tours = 2856.<\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><\/p>\n<p>Question 1.<br \/>\nIn an auditorium, there are 104 rows with 24 seats in each row. How many seats are available?<\/p>\n<p>Answer:<br \/>\nThe number of seats is available = 2496 seats.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthere are 104 rows with 24 seats in each row.<br \/>\n104 x 24 = 2496.<br \/>\nso the number of seats are available = 2496 seats.<\/p>\n<p>Question 2.<br \/>\nWhy is it important to &#8220;estimate to check for reasonableness&#8221;?<br \/>\nAnswer:<\/p>\n<p><strong>Do You Know How?<\/strong><\/p>\n<p>In 3-6, multiply to find the product. Estimate to check for reasonableness.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10202\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.33.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.33\" width=\"67\" height=\"53\" \/><\/p>\n<p>Answer:<br \/>\n205\u00a0 x 23 = 4715.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 205 and 23.<br \/>\nmultiply the numbers.<br \/>\n205 x 23 = 4715.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14235\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-38.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-38\" width=\"74\" height=\"72\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10198\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.4.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.4\" width=\"68\" height=\"63\" \/><\/p>\n<p>Answer:<br \/>\n108 x 34 = 3672.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 108 and 34.<br \/>\nmultiply the numbers.<br \/>\n108 x 34 = 3672.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14236\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-39.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-39\" width=\"86\" height=\"74\" \/><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10199\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.5.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.5\" width=\"67\" height=\"67\" \/><\/p>\n<p>Answer:<br \/>\n410 x 44 = 18040.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 410 and 44.<br \/>\nmultiply the numbers.<br \/>\n410 x 44 = 18040.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14237\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-40.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-40\" width=\"66\" height=\"85\" \/><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10200\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.6.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.6\" width=\"78\" height=\"58\" \/><\/p>\n<p>Answer:<br \/>\n302 x 30 = 9060.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 302 and 30.<br \/>\nmultiply the numbers.<br \/>\n302 x 30 = 9060.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14238\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-41.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-41\" width=\"87\" height=\"62\" \/><\/p>\n<p><strong>Independent Practice<\/strong><br \/>\n<strong>Leveled Practice<\/strong> In 7-18, find each product. Estimate to check for reasonableness.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10201\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.7.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.7\" width=\"74\" height=\"62\" \/><\/p>\n<p>Answer:<br \/>\n302 x 17 = 5134.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 302 and 17.<br \/>\nmultiply the numbers.<br \/>\n236 x 46 = 5134.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14240\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-42.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-42\" width=\"62\" height=\"66\" \/><\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10206\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.8.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.8\" width=\"81\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\n608 x 23 = 13984.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 608 and 23.<br \/>\nmultiply the numbers.<br \/>\n608 x 23 =13984.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14241\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-43.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-43\" width=\"69\" height=\"77\" \/><\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10207\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.9.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.9\" width=\"84\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\n109 x 47 = 5123.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 109 and 47.<br \/>\nmultiply the numbers.<br \/>\n109 x 47 = 5123.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14242\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-44.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-44\" width=\"75\" height=\"77\" \/><\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10208\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.10.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.10\" width=\"82\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\n510 x 72 = 36864.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 510 and 72.<br \/>\nmultiply the numbers.<br \/>\n510 x 72 = 36864.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14243\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-45.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-45\" width=\"84\" height=\"90\" \/><\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10209\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.11.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.11\" width=\"70\" height=\"62\" \/><\/p>\n<p>Answer:<br \/>\n902 x 35 = 31570.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 902 and 35.<br \/>\nmultiply the numbers.<br \/>\n902 x 35 = 31570.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14244\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-46.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-46\" width=\"84\" height=\"70\" \/><\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10210\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.12.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.12\" width=\"86\" height=\"65\" \/><\/p>\n<p>Answer:<br \/>\n207 x 61 = 12627.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 207 and 61.<br \/>\nmultiply the numbers.<br \/>\n207 x 61 = 12627.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14245\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-47.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-47\" width=\"74\" height=\"93\" \/><\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10211\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.13.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.13\" width=\"72\" height=\"62\" \/><\/p>\n<p>Answer:<br \/>\n108 x 58 = 6264.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 108 and 58.<br \/>\nmultiply the numbers.<br \/>\n108 x 58 = 6264.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14248\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-48.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-48\" width=\"64\" height=\"76\" \/><\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10212\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.14.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.14\" width=\"77\" height=\"64\" \/><\/p>\n<p>Answer:<br \/>\n108 x 58 = 6264.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 108 and 58.<br \/>\nmultiply the numbers.<br \/>\n108 x 58 = 6264.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-14250\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-48-1.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-48\" width=\"64\" height=\"76\" \/><\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10213\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.15.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.15\" width=\"76\" height=\"63\" \/><\/p>\n<p>Answer:<br \/>\n505 x 77 = 38885.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 505 and 77.<br \/>\nmultiply the numbers.<br \/>\n505 x 77 = 38885.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14251\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-49.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-49\" width=\"56\" height=\"68\" \/><\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10214\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.16.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.16\" width=\"71\" height=\"59\" \/><\/p>\n<p>Answer:<br \/>\n407 x 39 = 15873.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 407 and 39.<br \/>\nmultiply the numbers.<br \/>\n407 x 39 = 15873.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14252\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-50.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-50\" width=\"74\" height=\"65\" \/><\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10215\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.17.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.17\" width=\"72\" height=\"65\" \/><\/p>\n<p>Answer:<br \/>\n280 x 66 =18480.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 280 and 66.<br \/>\nmultiply the numbers.<br \/>\n280 x 66 = 18480.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14253\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-51.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-51\" width=\"69\" height=\"90\" \/><\/p>\n<p>Question 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10216\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.18.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.18\" width=\"75\" height=\"62\" \/><\/p>\n<p>Answer:<br \/>\n105 x 24 =2520.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 105 and 24.<br \/>\nmultiply the numbers.<br \/>\n105 x 24 =2520.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14254\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-52.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-52\" width=\"78\" height=\"79\" \/><\/p>\n<p>Question 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10217\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.19.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.19\" width=\"76\" height=\"63\" \/><\/p>\n<p>Answer:<br \/>\n360 x 48 = 17280.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 360 and 48.<br \/>\nmultiply the numbers.<br \/>\n360 x 48 = 17280.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14255\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-53.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-53\" width=\"52\" height=\"83\" \/><\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 19.<br \/>\nThere are 27 students in Mr. Mello&#8217;s class. Find the total number of pages the students read by the end of November.<\/p>\n<p>Answer:<br \/>\nThe total number of pages the students read by the end of November = 783 pages.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthere are 27 students in Mr. Mello&#8217;s class.<br \/>\nin November there are 29 days.<br \/>\n29 x 27 = 783.<br \/>\nso the total number of pages the students read by the end of November = 783 pages.<\/p>\n<p>Question 20.<br \/>\nEach student read 41 pages in December. How many total pages did the students read by the end of December?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10218\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-80.20.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 80.20\" width=\"309\" height=\"335\" \/><\/p>\n<p>Answer:<br \/>\nThe number of total pages did the students read by the end of December = 1271 pages.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nEach student read 41 pages in December.<br \/>\nin December there are 31 pages.<br \/>\n41 x 31 = 1271.<br \/>\nso the number of total pages did the students read by the end of December = 1271 pages.<\/p>\n<p>Question 21.<br \/>\nMeredith says that 15.17 is greater than 15.8 because 17 is greater than 8. Do you agree? Explain your reasoning.<\/p>\n<p>Answer:<br \/>\nNo, I do not agree with it.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nMeredith says that 15.17 is greater than 15.8 because<br \/>\n17 is greater than 8.<br \/>\n15.17 is less than 15.8.<br \/>\nso I do not agree with it.<\/p>\n<p>Question 22.<br \/>\n<strong>Use Structure<\/strong> Trudy wants to multiply 66 \u00d7 606. She says that all she has to do is find 6 \u00d7 606 and then double that number. Explain why Trudy&#8217;s method will not give the correct answer. Then show how to find the correct product.<\/p>\n<p>Answer:<br \/>\nYes, Trudy&#8217;s method will not give the correct answer.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nTrudy wants to multiply 66 \u00d7 606.<br \/>\nShe says that all she has to do is find 6 \u00d7 606.<br \/>\n66 x 606 =<br \/>\n6 x 606 =<br \/>\nthe two values are not equal.<br \/>\nso Trudy&#8217;s method will not give the correct answer.<\/p>\n<p>Question 23.<br \/>\n<strong>Higher Order Thinking<\/strong> Maria needs a trombone for only 12 months. Renting the trombone costs $34 per month. She can buy the trombone for $495. Should she buy or rent the trombone? Explain. How much does she pay?<\/p>\n<p>Answer:<br \/>\nYes, she can rent the trombone.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nMaria needs a trombone for only 12 months.<br \/>\nRenting the trombone costs $34 per month.<br \/>\nShe can buy the trombone for $495.<br \/>\n12 x $34 = $408.<\/p>\n<p>Question 24.<br \/>\nAnother music store rents trombones for $30 per month plus a yearly fee of $48. Which deal is better? Should Maria change her rental plan?<\/p>\n<p>Answer:<br \/>\nYes, maria change her rental plan.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nAnother music store rents trombones for $30 per month plus a yearly fee of $48.<br \/>\n30 x 48 = $1440.<\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 25.<br \/>\nWhat is the product?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10189\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-71.20.png\" alt=\"Envision Math Common Core 5th Grade Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 71.20\" width=\"69\" height=\"67\" \/><\/p>\n<p>Answer:<br \/>\n659 x 17 = 11203.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 659 and 17.<br \/>\nmultiply the numbers.<br \/>\n659 x 17 = 11203.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14256\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-54.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-54\" width=\"56\" height=\"82\" \/><\/p>\n<h3>Lesson 3.7 Practice Multiplying Multi-Digit Numbers<\/h3>\n<p><strong>Activity<\/strong><\/p>\n<p><strong>Solve &amp; Share<\/strong><\/p>\n<p>Which of the two car payment options will cost less for 1 year? How much less? Solve this problem any way you choose! Show all of your work<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10220\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-86.2.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 86.2\" width=\"385\" height=\"65\" \/><\/p>\n<p>You can use reasoning to connect mathematics to everyday life. Think about the situations multiplication describes.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10221\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-86.3.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 86.3\" width=\"124\" height=\"322\" \/><\/p>\n<p>Answer:<br \/>\nThe<\/p>\n<p><strong>Look Back!<\/strong> How can you estimate the total for the year when paying monthly? When paying quarterly?<\/p>\n<p><strong>Visual Learning Bridge<\/strong><\/p>\n<p><strong>Essential Question<\/strong> How Can You Use Multiplication to Solve Problems?<\/p>\n<p><strong>A.<\/strong><br \/>\nWhat is the yearly total for water, gas, and electric? What is the yearly total for cell phones?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10222\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-87.2.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 87.2\" width=\"300\" height=\"114\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10227\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-87.22.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 87.22\" width=\"309\" height=\"290\" \/><br \/>\nThe standard algorithm for multiplying whole numbers involves breaking numbers apart using place value.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10223\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-87.3.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 87.3\" width=\"191\" height=\"153\" \/><\/p>\n<p><strong>B.<\/strong><br \/>\nWhat is the yearly total for water, gas, and electric?<br \/>\nFind 4 \u00d7 (760 + 510).<br \/>\nEstimate:<br \/>\n4 \u00d7 (760 + 510) is about 4 \u00d7 1,200 = 4,800.<br \/>\n4 \u00d7 (760+ 510) = 4 \u00d7 1,270<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10224\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-87.4.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 87.4\" width=\"66\" height=\"86\" \/><br \/>\nThe yearly total for water, gas, and electric is $5,080.<\/p>\n<p><strong>C.<\/strong><br \/>\nWhat is the yearly total for cell phones?<br \/>\nFind 12 \u00d7 271.<br \/>\nEstimate:<br \/>\n12 \u00d7 271 is about 10 \u00d7 270 = 2,700.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10225\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-87.5.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 87.5\" width=\"72\" height=\"136\" \/><br \/>\nThe process for multiplying is the same regardless of the number of digits in 3,252 the factors.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10226\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-87.6.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 87.6\" width=\"85\" height=\"134\" \/><br \/>\nThe yearly total for cell phones is $3,252.<\/p>\n<p><strong>Convince Me! Be Precise<\/strong> How are the processes for multiplying alike for the two calculations above? How are they different?<\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><\/p>\n<p>Question 1.<br \/>\nCarlos saves 18 cents every day of the year. If there are 365 days this year, how many cents will he have saved by the end of the year? Write an equation that represents the problem. Then, solve the equation.<\/p>\n<p>Answer:<br \/>\nThe number of cents will he have saved by the end of the year = 6570.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nCarlos saves 18 cents every day of the year.<br \/>\nIf there are 365 days this year.<br \/>\n365 x 18 = 6570.<br \/>\nso the number of cents will he have saved by the end of the year = 6570.<\/p>\n<p>Question 2.<br \/>\nLila drives 129 kilometers round trip to work. How many kilometers does she drive in 31 days? Write an equation that represents the problem. Then solve the equation.<\/p>\n<p>Answer:<br \/>\nThe number of kilometers does she drive in 31 days = 3999 km.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nLila drives 129 kilometers round trip to work.<br \/>\n129 x 31 = 3999.<br \/>\nso the number of kilometers does she drive in 31 days = 3999 km.<\/p>\n<p><strong>Do You Know How?<\/strong><\/p>\n<p>In 3-6, estimate each product. Then complete each calculation. Check that your answer is reasonable.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10228\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-89.1.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 89.1\" width=\"87\" height=\"136\" \/><\/p>\n<p>Answer:<br \/>\n134 x 11 = 1474.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 134 and 11.<br \/>\nmultiply the numbers.<br \/>\n134 x 11 = 1474.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14259\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-55.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-55\" width=\"101\" height=\"115\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10229\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-89.2.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 89.2\" width=\"91\" height=\"128\" \/><\/p>\n<p>Answer:<br \/>\n208 x 26 = 5408.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 208 and 26.<br \/>\nmultiply the numbers.<br \/>\n208 x 26 = 5408.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14264\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-56.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-56\" width=\"119\" height=\"128\" \/><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10230\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-89.3.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 89.3\" width=\"105\" height=\"130\" \/><\/p>\n<p>Answer:<br \/>\n428 x 35 = 14980.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 428 and 35.<br \/>\nmultiply the numbers.<br \/>\n428 x 35 = 14980.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14268\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-57.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-57\" width=\"105\" height=\"132\" \/><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10231\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-89.4.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 89.4\" width=\"103\" height=\"129\" \/><\/p>\n<p>Answer:<br \/>\n275 x 56 = 15400.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 275 and 56.<br \/>\nmultiply the numbers.<br \/>\n275 x 56 = 15400.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14270\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-58.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-58\" width=\"108\" height=\"117\" \/><\/p>\n<p><strong>Independent Practice<\/strong><br \/>\n<strong>Leveled Practice<\/strong> In 7-22, estimate and then compute each product. Check that your answer is reasonable.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10232\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-89.5.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 89.5\" width=\"110\" height=\"136\" \/><\/p>\n<p>Answer:<br \/>\n531 x 47 = 24,957.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 531 and 47.<br \/>\nmultiply the numbers.<br \/>\n531 x 47 = 24,957.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14271\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-59.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-59\" width=\"127\" height=\"151\" \/><\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10233\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-89.6.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 89.6\" width=\"110\" height=\"131\" \/><\/p>\n<p>Answer:<br \/>\n759 x 68 = 51,612.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 759 and 68.<br \/>\nmultiply the numbers.<br \/>\n759 x 68 = 51,612.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14274\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-60.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-60\" width=\"90\" height=\"121\" \/><\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10234\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-89.7.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 89.7\" width=\"111\" height=\"134\" \/><\/p>\n<p>Answer:<br \/>\n367 x 92 = 33,764.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 367 and 92.<br \/>\nmultiply the numbers.<br \/>\n367 x 92 = 33,764.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14275\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-61.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-61\" width=\"102\" height=\"120\" \/><\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10235\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-89.8.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 89.8\" width=\"113\" height=\"141\" \/><\/p>\n<p>Answer:<br \/>\n817 x 45 = 36,765.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 817 and 45.<br \/>\nmultiply the numbers.<br \/>\n817 x 45 = 36,765.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14276\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-62.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-62\" width=\"130\" height=\"134\" \/><\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10236\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-89.9.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 89.9\" width=\"72\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\n1206 x 77 = 92862.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 1206 and 77.<br \/>\nmultiply the numbers.<br \/>\n1206 x 77 = 92862.<\/p>\n<p>Question 12<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10237\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-89.10.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 89.10\" width=\"71\" height=\"61\" \/><\/p>\n<p>Answer:<br \/>\n543 x 18 = 9774.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 543 and 18.<br \/>\nmultiply the numbers.<br \/>\n543 x 18 = 9774.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14277\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-63.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-63\" width=\"57\" height=\"68\" \/><\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10238\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-89.11.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 89.11\" width=\"74\" height=\"60\" \/><\/p>\n<p>Answer:<br \/>\n908 x 62 = 56,296.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 908 and 62.<br \/>\nmultiply the numbers.<br \/>\n908 x 62 = 56,296.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14279\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-64.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-64\" width=\"82\" height=\"76\" \/><\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10239\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-89.12.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 89.12\" width=\"75\" height=\"59\" \/><\/p>\n<p>Answer:<br \/>\n750 x 81 = 60,750.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 750 and 81.<br \/>\nmultiply the numbers.<br \/>\n750 x 81 = 60,750.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14280\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-65.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-65\" width=\"51\" height=\"69\" \/><\/p>\n<p>Question 15.<br \/>\n6,755 \u00d7 9<\/p>\n<p>Answer:<br \/>\n6755 x 9 = 60,795.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 6755 and 9.<br \/>\nmultiply the numbers.<br \/>\n6755 x 9 = 60,795.<\/p>\n<p>Question 16.<br \/>\n869 \u00d7 46<\/p>\n<p>Answer:<br \/>\n869 x 46 = 39,974.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 869 and 46.<br \/>\nmultiply the numbers.<br \/>\n869 x 46 = 39,974.<\/p>\n<p>Question 17.<br \/>\n922 \u00d7 81<\/p>\n<p>Answer:<br \/>\n922 x 81 = 74,682.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 922 and 81.<br \/>\nmultiply the numbers.<br \/>\n922 x 81 = 74,682.<\/p>\n<p>Question 18.<br \/>\n783 \u00d7 14<\/p>\n<p>Answer:<br \/>\n783 x 14 = 10,962.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 783 and 14.<br \/>\nmultiply the numbers.<br \/>\n783 x 14 = 10,962.<\/p>\n<p>Question 19.<br \/>\n684 \u00d7 15<\/p>\n<p>Answer:<br \/>\n684 x 15 = 10,260.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 684 and 15.<br \/>\nmultiply the numbers.<br \/>\n684 x 15 = 10,260.<\/p>\n<p>Question 20.<br \/>\n650 \u00d7 22<\/p>\n<p>Answer:<br \/>\n650 x 22 = 14,300.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 650 and 22.<br \/>\nmultiply the numbers.<br \/>\n650 x 22 = 14,300.<\/p>\n<p>Question 21.<br \/>\n2,525 \u00d7 37<\/p>\n<p>Answer:<br \/>\n2,525 x 37 = 93,425.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 2525 and 37.<br \/>\nmultiply the numbers.<br \/>\n2525 x 37 = 93,425.<\/p>\n<p>Question 22.<br \/>\n615 \u00d7 41<\/p>\n<p>Answer:<br \/>\n615 x 41 = 25,215.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 615 and 41.<br \/>\nmultiply the numbers.<br \/>\n615 x 41 = 25,215.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>For 23 and 24, use the table.<img loading=\"lazy\" class=\"alignnone size-full wp-image-10240\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-91.2.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 91.2\" width=\"354\" height=\"358\" \/><\/p>\n<p>Question 23.<br \/>\n<strong>Model with Math<\/strong> Jason frequently travels for work. This year he plans to make 15 trips to Chicago. What is the total cost for the airfare? Write an equation that represents the problem. Then, solve the equation.<\/p>\n<p>Answer:<br \/>\nThe total cost for the airfare = $7335.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nJason frequently travels for work.<br \/>\nthe cost of the chicago is $489.<br \/>\nThis year he plans to make 15 trips to Chicago.<br \/>\n$489 x 15 = 7335.<br \/>\nso the total cost of the airfare = $7335.<\/p>\n<p>Question 24.<br \/>\nWhich would cost more: 15 trips to Boston or 11 trips to New York? Explain.<\/p>\n<p>Answer:<br \/>\nThe trip would cost more.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe ticket cost of Boston is $178.<br \/>\nthe ticket cost of new york is $225.<br \/>\n15 x 178 = 2670.<br \/>\n225 x 11 = 1958.<br \/>\nso the trip would cost more.<\/p>\n<p>Question 25.<br \/>\nA cook at a restaurant is planning her food order. She expects to use 115 pounds of potatoes each day for 12 days. How many pounds of potatoes will she order?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10241\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-91.4.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 91.4\" width=\"343\" height=\"90\" \/><\/p>\n<p>Answer:<br \/>\nThe number of pounds of potatoes will she order = 1380 pounds.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA cook at a restaurant is planning her food order.<br \/>\nShe expects to use 115 pounds of potatoes each day for 12 days.<br \/>\n115 x 12 = 1380.<br \/>\nso the number of pounds of potatoes will she order = 1380.<\/p>\n<p>Question 26.<br \/>\n<strong>Higher Order Thinking<\/strong> Carolyn bought a gallon of paint that covers 250 square feet. She wants to paint a wall that is 16 feet wide and 12 feet high. Explain whether or not she will need more than one gallon of paint.<\/p>\n<p>Answer:<br \/>\nYes, she needs only one gallon of paint.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nCarolyn bought a gallon of paint that covers 250 square feet.<br \/>\nShe wants to paint a wall that is 16 feet wide and 12 feet high.<br \/>\n16 x 12 = 192.<br \/>\n192 is less than 250.<br \/>\nso she needs less than one gallon of paint.<\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 27.<br \/>\nThe product of the following expression is 7,453.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10242\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-91.5.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 91.5\" width=\"82\" height=\"56\" \/><br \/>\nWhat is the missing digit?<br \/>\nA. 1<br \/>\nB. 2<br \/>\nC. 4<br \/>\nD. 7<\/p>\n<p>Answer:<br \/>\nOption B is the correct.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n257 x 29 = 7453.<br \/>\nso option B is correct.<\/p>\n<p>Question 28.<br \/>\nWhen you multiply a 3-digit number by a 2-digit number, what is the greatest number of digits the product can have?<\/p>\n<p>Answer:<br \/>\nThe greatest number of digits the product can have 4.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe three-digit number is 123.<br \/>\nthe two-digit number is 10.<br \/>\n123 x 10 = 1230.<\/p>\n<h3>Lesson 3.8 Solve Word Problems Using Multiplication<\/h3>\n<p><strong>Activity<\/strong><\/p>\n<p><strong>Solve&amp;S are<\/strong><\/p>\n<p>Kevin&#8217;s family took 239 photos on their summer vacation. Marco and his family took 12 times as many photos on their vacation. How many photos did Marco&#8217;s family take? Solve this problem any way you choose.<\/p>\n<p>How can you use an equation to model the situation with math?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10243\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-93.1.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 93.1\" width=\"242\" height=\"324\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-10244\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-93.2.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 93.2\" width=\"229\" height=\"254\" \/><\/p>\n<p>Answer:<br \/>\nThe number of photos did Marco&#8217;s family take = 2629 photos.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nKevin&#8217;s family took 239 photos on their summer vacation.<br \/>\nMarco and his family took 12 times as many photos on their vacation.<br \/>\n239 x 12 = 2868.<br \/>\n2868 &#8211; 239 = 2629.<br \/>\nso the number of photos did Marco&#8217;s family take = 2629 photos.<\/p>\n<p><strong>Look Back!<\/strong> How can you use estimation to tell if your answer is reasonable? Explain.<\/p>\n<p><strong>Visual Learning Bridge<\/strong><\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Use a Bar Diagram to Solve a Multiplication Problem?<br \/>\n<strong>A.<\/strong><br \/>\nIn 1980, a painting sold for $1,575. In 2015, the same painting sold for 5 times as much. What was the price of the painting in 2015?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10245\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-93.4.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 93.4\" width=\"233\" height=\"194\" \/><br \/>\nYou can draw a bar diagram and use a variable to find the new price of the painting.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10246\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-93.5.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 93.5\" width=\"96\" height=\"138\" \/><\/p>\n<p><strong>B.<\/strong><br \/>\nWhat am I asked to find?<br \/>\nThe price of the painting in 2015.<br \/>\nLet p = the price of the painting in 2015.<br \/>\nDraw a bar diagram to represent the problem.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10247\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-93.6.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 93.6\" width=\"342\" height=\"107\" \/><\/p>\n<p><strong>C.<\/strong><br \/>\nWrite and solve an equation using the variable.<br \/>\n$1,575 \u00d7 5 =p<br \/>\n$1,575 \u00d7 5 = $7,875.<br \/>\nSo, p= $7,875.<br \/>\nIn 2015, the painting sold for $7,875.<br \/>\nYou can use repeated addition or division to check your answer!<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10248\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-93.7.png\" alt=\"Envision Math Common Core 5th Grade Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers 93.7\" width=\"80\" height=\"130\" \/><\/p>\n<p><strong>Convince Me! Construct Arguments<\/strong> How can you use estimation to justify that the answer $7,875 is reasonable?<\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><\/p>\n<p>Question 1.<br \/>\nWrite a real-world problem that uses multiplication. Then, draw a bar diagram and write an equation to solve your problem.<br \/>\nAnswer:<\/p>\n<p><strong>Do You Know How?<\/strong><\/p>\n<p>In 2, write and solve an equation.<\/p>\n<p>Question 2.<br \/>\nSharon&#8217;s Stationery Store has 1,219 boxes of cards. May&#8217;s Market has 3 times as many boxes of cards. How many boxes of cards does May&#8217;s Market have?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10256\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-94.50.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 94.50\" width=\"288\" height=\"104\" \/><\/p>\n<p>Answer:<br \/>\nThe number of cards does May&#8217;s market have = 2.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nSharon&#8217;s Stationery Store has 1,219 boxes of cards.<br \/>\nMay&#8217;s Market has 3 times as many boxes of cards.<br \/>\n3 x 1219 = 3657.<br \/>\n3657 &#8211; 1219 = 2438.<br \/>\n1219 x 2 = 2438.<br \/>\nso the number of cards does May&#8217;s market have = 2.<\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p>In 3-5, draw a bar diagram to model the situation. Then, write and solve an equation.<\/p>\n<p>Question 3.<br \/>\nThere are 14 theaters at the mall. Each theater has 175 seats. How many seats are there in all?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10251\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-93.2.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 93.2\" width=\"543\" height=\"97\" \/><\/p>\n<p>Answer:<br \/>\nThe number of seats is there in all = 2450.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nThere are 14 theaters at the mall.<br \/>\nEach theater has 175 seats.<br \/>\n14 x 175 = 2450.<br \/>\nso the number of seats are there in all = 2450.<\/p>\n<p>Question 4.<br \/>\nBrad lives 12 times as far away from the ocean as Jennie. If Jennie lives 48 miles from the ocean, how many miles from the ocean does Brad live?<\/p>\n<p>Answer:<br \/>\nThe number of miles from the ocean does Brad live = 576 miles.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nBrad lives 12 times as far away from the ocean as Jennie.<br \/>\nIf Jennie lives 48 miles from the ocean.<br \/>\n48 x 12 = 576.<br \/>\nso the number of miles from the ocean does Brad live = 576 miles.<\/p>\n<p>Question 5.<br \/>\nA hardware store ordered 13 packs of nails from a supplier. Each pack contains 155 nails. How many nails did the store order?<\/p>\n<p>Answer:<br \/>\nThe number of nails did the store order = 2015 nails.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA hardware store ordered 13 packs of nails from a supplier.<br \/>\nEach pack contains 155 nails.<br \/>\n13 x 155 = 2015 nails.<br \/>\nso the number of nails did the store order = 2015 nails.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 6.<br \/>\n<strong>Algebra<\/strong> Sandi&#8217;s school has 1,030 students. Karla&#8217;s school has 3 times as many students as Sandi&#8217;s school. Write an equation to find s, the number of students in Karla&#8217;s school. Then, solve your equation.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10254\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-94.1.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 94.1\" width=\"335\" height=\"87\" \/><\/p>\n<p>Answer:<br \/>\nThe number of students in Karla&#8217;s school = 3090.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nSandi&#8217;s school has 1,030 students.<br \/>\nKarla&#8217;s school has 3 times as many students as Sandi&#8217;s school.<br \/>\n1030 x 3 = 3090.<br \/>\nso the number of students in Karla&#8217;s school = 3090.<\/p>\n<p>Question 7.<br \/>\n<strong>enVision\u00ae STEM<\/strong> Jupiter is about 5 times the distance Earth is from the Sun. Earth is about 93,000,000 miles from the Sun. About how far is Jupiter from the Sun?<br \/>\nLook for a relationship to help you solve this problem.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10255\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-94.8.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 94.8\" width=\"94\" height=\"120\" \/><\/p>\n<p>Answer:<br \/>\nThe far is Jupiter from the sun = 46,50,00,000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nJupiter is about 5 times the distance Earth is from the Sun.<br \/>\nEarth is about 93,000,000 miles from the sun.<br \/>\n93,000,000 x 5 = 46,50,00,000.<br \/>\nso the far is hupiter from the sun = 46,50,00,000.<\/p>\n<p>Question 8.<br \/>\n<strong>Higher Order Thinking<\/strong> William travels only on Saturdays and Sundays and has flown 1,020 miles this month. Jason travels every weekday and has flown 1,200 miles this month. If each man travels about the same number of miles each day, who travels more miles per day for this month? Explain.<\/p>\n<p>Answer:<br \/>\nJason travels more miles per day for this month.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nWilliam travels only on Saturdays and Sundays and has flown 1,020 miles this month.<br \/>\nJason travels every weekday and has flown 1,200 miles this month.<br \/>\n1200 is greater than 1020.<br \/>\nso Jason travels more miles per day for this month.<\/p>\n<p>Question 9.<br \/>\nMake Sense and Persevere Hwong can fit 12 packets of coffee in a small box and 50 packets of coffee in a large box. He has 10 small boxes of coffee and would like to reorganize the packets into large boxes. How many large boxes could he fill? Explain.<\/p>\n<p>Answer:<br \/>\nThe number of large boxes could he fill = 6.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nHow can fit 12 packets of coffee in a small box and 50 packets of coffee in a large box.<br \/>\nHe has 10 small boxes of coffee and would like to reorganize the packets into large boxes.<br \/>\n12 x 50 = 600.<br \/>\n10 x 6 = 600.<br \/>\nso the number of large boxes could he fill = 6.<\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 10.<br \/>\nMartin ran 108 miles last year. Katrina ran 13 times as many miles as Martin last year. How many miles did Katrina run last year?<br \/>\nA. 1,008 miles<br \/>\nB. 1,404 miles<br \/>\nC. 1,806 miles<br \/>\nD. 2,000 miles<\/p>\n<p>Answer:<br \/>\nThe number of miles did Katrina run last year = 1404 miles.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nMartin ran 108 miles last year. Katrina ran 13 times as many miles as Martin last year.<br \/>\n108 x 13 = 1404.<br \/>\nso option B is the correct.<\/p>\n<p>Question 11.<br \/>\nThe Erie shoe factory makes 245 pairs of shoes a day. The Columbus shoe factory makes 34 times as many pairs of shoes a day as the Erie shoe factory. How many pairs of shoes does the Columbus shoe factory make a day?<br \/>\nA. 7,545 pairs of shoes<br \/>\nB. 8,010 pairs of shoes<br \/>\nC. 8,330 pairs of shoes<br \/>\nD. 8,750 pairs of shoes<\/p>\n<p>Answer:<br \/>\nOption C is the correct answer.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nThe Erie shoe factory makes 245 pairs of shoes a day.<br \/>\nThe Columbus shoe factory makes 34 times as many pairs of shoes a day as the Erie shoe factory.<br \/>\n245 x 34 = 8,330.<br \/>\nso the option C is the correct.<\/p>\n<h3>Lesson 3.9 Critique Reasoning<\/h3>\n<p><strong>Activity<\/strong><\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p><strong>Solve &amp; Share<\/strong><br \/>\nA group of 44 students is planning a train trip to Washington, D.C. They held many fundraisers and raised $10,880. Nathan said, &#8220;We should have enough money to pay for the train tickets. There are about 50 students going on the trip and one round trip ticket costs about $200. That makes the total cost of the tickets less than $10,000.\u201d<br \/>\nDoes Nathan&#8217;s reasoning make sense?<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-10257\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-95.2.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 95.2\" width=\"383\" height=\"166\" \/><\/p>\n<p>Answer:<br \/>\nThe total cost of the tickets is less than $10,000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA group of 44 students is planning a train trip to Washington, D.C.<br \/>\nThey held many fundraisers and raised $10,880.<br \/>\nNathan said, &#8220;We should have enough money to pay for the train tickets.<br \/>\nThere are about 50 students going on the trip and one round trip ticket costs about $200.<br \/>\n50 x 200 = 10,000.<br \/>\nso the total cost of the ticket is less than $10000.<\/p>\n<p><strong>Thinking Habits<\/strong><br \/>\nBe a good thinker! These questions can help you.<br \/>\n\u2022 What questions can I ask to understand people&#8217;s thinking?<br \/>\n\u2022 Are there mistakes in other people&#8217;s thinking?<br \/>\n\u2022 Can I improve other people&#8217;s thinking?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10258\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-95.3.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 95.3\" width=\"173\" height=\"149\" \/><\/p>\n<p><strong>Look Back! Critique Reasoning<\/strong> What argument would you make to support Nathan&#8217;s estimate?<\/p>\n<p><strong>Visual Learning Bridge<\/strong><\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Critique Reasoning of Others?<\/p>\n<p><strong>A.<\/strong><br \/>\nMs. Lynch needs to ship 89 boxes. 47 boxes weigh 150 pounds each. Each of the other boxes weighs 210 pounds.<br \/>\nMia says that all 89 boxes can fit into one container. She reasons that 47 \u00d7 150 is less than 7,500 and 42 \u00d7 210 is a little more than 8,000, so the sum of their weights should be less than 15,400.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10279\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-105.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 105\" width=\"298\" height=\"187\" \/><\/p>\n<p><strong>What is Mia&#8217;s reasoning to support her estimate?<\/strong><br \/>\nMia estimates the total weight of the lighter boxes and the total weight of the heavier boxes, then adds the two estimates.<\/p>\n<p>Here&#8217;s my thinking&#8230;<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10259\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-95.4.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 95.4\" width=\"96\" height=\"152\" \/><\/p>\n<p><strong>B.<\/strong><br \/>\n<strong>How can I critique the reasoning of others?<\/strong><br \/>\n<strong>I can<\/strong><br \/>\n\u2022 ask questions for clarification.<br \/>\n\u2022 decide if the strategy used makes sense.<br \/>\n\u2022 look for flaws in estimates or calculations.<\/p>\n<p><strong>C.<\/strong><br \/>\nMia&#8217;s reasoning has flaws. She estimated that 42 \u00d7 210 is a little more than 8,000, but a better estimate is 9,000.<br \/>\nShe underestimated the products so her conclusion is not valid.<br \/>\nThe weight of the heavier boxes is 8,820 pounds. The weight of the lighter boxes is 7,050 pounds.<br \/>\nThe total weight is 15,870 pounds. The sum is greater than 15,400. Mia&#8217;s reasoning does not make sense.<\/p>\n<p><strong>Convince Me! Critique Reasoning<\/strong> Raul states that one way to get the cargo under the weight limit is to remove two of the heavier boxes and one of the lighter boxes. How can you decide if Raul&#8217;s reasoning makes sense?<\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Critique Reasoning<\/strong> A stadium has 58 sections of seats. There are 288 seats in each section. Mary estimated the total number of seats by multiplying 60 \u00d7 300. She concluded that the stadium has fewer than 18,000 seats.<\/p>\n<p>Question 1.<br \/>\nWhat is Mary&#8217;s argument? How does she support it?<\/p>\n<p>Answer:<br \/>\nMary&#8217;s argument was correct.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA stadium has 58 sections of seats.<br \/>\nThere are 288 seats in each section.<br \/>\nMary estimated the total number of seats by multiplying 60 \u00d7 300.<br \/>\nShe concluded that the stadium has fewer than 18,000 seats.<br \/>\n58 x 288 = 16704.<\/p>\n<p>Question 2.<br \/>\nDescribe at least one thing you would do to critique Mary&#8217;s reasoning.<\/p>\n<p>Answer:<br \/>\nMary&#8217;s argument was correct.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA stadium has 58 sections of seats.<br \/>\nThere are 288 seats in each section.<br \/>\nMary estimated the total number of seats by multiplying 60 \u00d7 300.<br \/>\nShe concluded that the stadium has fewer than 18,000 seats.<br \/>\n58 x 288 = 16704.<\/p>\n<p>Question 3.<br \/>\nDoes Mary&#8217;s conclusion make sense? Explain.<\/p>\n<p>Answer:<br \/>\nMary&#8217;s argument was correct.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA stadium has 58 sections of seats.<br \/>\nThere are 288 seats in each section.<br \/>\nMary estimated the total number of seats by multiplying 60 \u00d7 300.<br \/>\nShe concluded that the stadium has fewer than 18,000 seats.<br \/>\n58 x 288 = 16704.<\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p><strong>Critique Reasoning<\/strong><br \/>\nAn office manager has $10,000 to spend on new equipment. He planned to purchase 300 lamps for $72 each. He completed the calculations at the right and concluded that there would be plenty of money left to buy additional equipment.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10260\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-96.1.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 96.1\" width=\"278\" height=\"212\" \/><\/p>\n<p>Question 4.<br \/>\nWhat does the office manager do to support his thinking?<\/p>\n<p>Answer:<br \/>\nYes, he completed the calculations at the right and concluded that there would be plenty of money.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nAn office manager has $10,000 to spend on new equipment.<br \/>\nHe planned to purchase 300 lamps for $72 each.<br \/>\n300 x 72 = 21,600.<br \/>\nyes, he has enough money.<\/p>\n<p>Question 5.<br \/>\nDescribe how you could decide if the office manager&#8217;s calculation is reasonable.<\/p>\n<p>Answer:<br \/>\nYes, he completed the calculations at the right and concluded that there would be plenty of money.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nAn office manager has $10,000 to spend on new equipment.<br \/>\nHe planned to purchase 300 lamps for $72 each.<br \/>\n300 x 72 = 21,600.<br \/>\nyes, he has enough money.<\/p>\n<p>When you critique reasoning, you need to explain if the method used by another makes sense.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10261\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-96.2.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 96.2\" width=\"93\" height=\"115\" \/><\/p>\n<p>Question 6.<br \/>\nDoes the office manager&#8217;s conclusion make sense? Explain.<\/p>\n<p>Answer:<br \/>\nYes, he completed the calculations at the right and concluded that there would be plenty of money.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nAn office manager has $10,000 to spend on new equipment.<br \/>\nHe planned to purchase 300 lamps for $72 each.<br \/>\n300 x 72 = 21,600.<br \/>\nyes, he has enough money.<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p><strong>Performance Task<\/strong><\/p>\n<p><strong>Buying a Piano<\/strong><br \/>\nOver the summer Kathleen sold 1,092 jars of jam at outdoor markets. She made a $12 profit on each one. She wants to use the profits to buy the Ivory-5K piano. She said, &#8220;Since 1,000 \u00d7 12 = 12,000, and 1,092 is greater than 1,000, I know my profits add up to more than $12,000. So, I can buy the piano.&#8221;<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10262\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-96.3.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 96.3\" width=\"239\" height=\"150\" \/><\/p>\n<p>Question 7.<br \/>\n<strong>Make Sense and Persevere<\/strong> Does it make sense for Kathleen to find an overestimate or an underestimate to decide if she has earned enough money? Why?<\/p>\n<p>Answer:<br \/>\nYes, she can make the Ivory panio.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nKathleen sold 1,092 jars of jam at outdoor markets.<br \/>\nShe made a $12 profit on each one.<br \/>\n1092 x 12 = 13,104.<br \/>\nShe wants to use the profits to buy the Ivory-5K piano. She said, &#8220;Since 1,000 \u00d7 12 = 12,000, and 1,092 is greater than 1,000.<br \/>\nyes, she can make the Ivory patio.<\/p>\n<p>Question 8.<br \/>\n<strong>Reasoning<\/strong> Should Kathleen use multiplication to estimate her total profits? Explain your reasoning.<\/p>\n<p>Answer:<br \/>\nYes, she can make the total profits.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nKathleen sold 1,092 jars of jam at outdoor markets.<br \/>\nShe made a $12 profit on each one.<br \/>\n1092 x 12 = 13,104.<br \/>\nShe wants to use the profits to buy the Ivory-5K piano. She said, &#8220;Since 1,000 \u00d7 12 = 12,000, and 1,092 is greater than 1,000.<br \/>\nyes, she can make the total profits.<\/p>\n<p>When you critique reasoning, ask questions to help understand someone&#8217;s thinking.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10263\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-96.4.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 96.4\" width=\"154\" height=\"384\" \/><\/p>\n<p>Question 9.<br \/>\n<strong>Be Precise<\/strong> Is Kathleen&#8217;s estimate appropriate? Is her calculation correct? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 10.<br \/>\n<strong>Critique Reasoning<\/strong> Explain whether Kathleen&#8217;s conclusion is logical. How did you decide? If it is not logical, what can you do to improve her reasoning?<br \/>\nAnswer:<\/p>\n<h3>Topic 3 Fluency Practice<\/h3>\n<p><strong>Activity<\/strong><\/p>\n<p><strong>Follow the path<\/strong><\/p>\n<p>Solve each problem. Then follow multiples of 10 to shade a path from START to FINISH. You can only move up, down, right, or left.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10265\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-99.7.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 99.7\" width=\"160\" height=\"130\" \/><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-10264\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-99.6.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 99.6\" width=\"491\" height=\"475\" \/><\/p>\n<p>Answer:<br \/>\nThe multiples of 10 are 1, 10, 20, 5, 2, 30, 40, 50, 60, 70, 80, 90, and 100.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n53 x 20 = 1060.<br \/>\n70 x 89 = 6230.<br \/>\n84 x 40 = 3360.<br \/>\n60 x 90 = 5400.<br \/>\n10 x 570 = 5700.<br \/>\n80 x 14 = 1120.<br \/>\n50 x 30 = 1500.<br \/>\n70 x 12 = 840.<br \/>\n100 x 100 = 10000.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14688\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-01.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-01\" width=\"389\" height=\"369\" \/><\/p>\n<p>Topic 3 Vocabulary Review<\/p>\n<p>Glossary<\/p>\n<p>Word List<br \/>\n\u2022 expression<br \/>\n\u2022 multiple<br \/>\n\u2022 overestimate<br \/>\n\u2022 partial products<br \/>\n\u2022 power<br \/>\n\u2022 underestimate<br \/>\n\u2022 variable<\/p>\n<p>For each of these terms, give an example and a non-example.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-10266\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-99.20.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 99.20\" width=\"492\" height=\"209\" \/><\/p>\n<p>Answer:<br \/>\npower of 10 = 200.<br \/>\nmultiple of 10 x 10 = 100.<br \/>\nan expression with a variable<br \/>\nan underestimate of 532 x 11 = 5852.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\npower of 10 = 200.<br \/>\nmultiple of 10 x 10 = 100.<br \/>\nan expression with a variable<br \/>\nan underestimate of 532 x 11 = 5852.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14689\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-02.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-02\" width=\"381\" height=\"204\" \/><\/p>\n<p>Write always, sometimes, or never.<\/p>\n<p>Question 5.<br \/>\nThe sum of partial products is equal to the final product.<\/p>\n<p>Answer:<br \/>\nAlways the sum of partial products is equal to the final product.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe sum of partial products is equal to the final product.<br \/>\nfor example:<br \/>\n12 x 10 = 120.<br \/>\n10 + 2 = 12.<br \/>\nso Always the sum of partial products is equal to the final product.<\/p>\n<p>Question 6.<br \/>\nA multiple of a number is the power of the number.<\/p>\n<p>Answer:<br \/>\nSometimes a multiple of a number is a power of the number.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nmultiple of a number is a power of the number.<br \/>\nfor example:<br \/>\n2 x 2 = 4.<\/p>\n<p>Question 7.<br \/>\nAn underestimate results from rounding each factor to a greater number.<\/p>\n<p>Answer:<br \/>\nAlways an underestimate results from rounding each factor to a greater number.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nAn underestimate results from rounding each factor to a greater number.<br \/>\nfor example:<br \/>\n12.5 round the number to tenth.<br \/>\n12.6.<\/p>\n<p>Question 8.<br \/>\nA power of a number is a multiple of the number.<\/p>\n<p>Answer:<br \/>\nYes, the power of a number is a multiple of the number.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\npower of a number is a multiple of the number.<br \/>\nfor example:<br \/>\n2 x 2 = 4.<br \/>\nthe square root of 2 is 4.<\/p>\n<p>Write T for true or F for false.<\/p>\n<p>Question 9.<br \/>\n642 \u00d7 12 = 642 tens + 1,284 ones<\/p>\n<p>Answer:<br \/>\nThe expression is false.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n642 x 12 = 7704.<br \/>\n642 + 1284 = 1926.<br \/>\nso the expression is false.<\/p>\n<p>Question 10.<br \/>\n41 \u00d7 10<sup>6<\/sup> = 41,000,000<\/p>\n<p>Answer:<br \/>\nThe expression is true.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n41 x 10<sup>6.<br \/>\n41 x 10 x 10 x 10 x 10 x 10 x 10.<br \/>\n41000000.<br \/>\nso the expression is true.<\/sup><\/p>\n<p>Question 11.<br \/>\n80 \u00d7 10<sup>3<\/sup> = 8,000<\/p>\n<p>Answer:<br \/>\nThe expression is false.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n80 \u00d7 10<sup>3.<br \/>\n<\/sup>80 x 10 x 10 x 10.<br \/>\n80 x 1000.<br \/>\n80,000.<br \/>\nso the expression is false.<\/p>\n<p>Question 12.<br \/>\nSuppose both factors in a multiplication problem are multiples of 10. Explain why the<br \/>\nnumber of zeros in the product may be different than the total number of zeros in the factors. Include an example.<\/p>\n<p>Answer:<br \/>\nTopic 3 Reteaching<\/p>\n<p><strong>Set A<\/strong><br \/>\npages 81-84<\/p>\n<p>Find 65 \u00d7 10<sup>3<\/sup>.<br \/>\nLook at the exponent for the power of 10. Annex that number of zeros to the other factor to find the product.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10253\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-93.90.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 93.90\" width=\"69\" height=\"47\" \/><\/p>\n<p><strong>Remember<\/strong> to look at the number of zeros or the exponent for the power of 10.<\/p>\n<p>Question 1.<br \/>\n12 \u00d7 10<sup>4<\/sup><\/p>\n<p>Answer:<br \/>\nThe number of zeros is 4.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n12 \u00d7 10<sup>4.<br \/>\n<\/sup>12 x 10000.<br \/>\n120000.<\/p>\n<p>Question 2.<br \/>\n100 \u00d7 815<\/p>\n<p>Answer:<br \/>\nThe number of zeros is 2.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n100 x 815.<br \/>\n81500.<br \/>\nso the number of zeros is 2.<\/p>\n<p>Question 3.<br \/>\n10<sup>2<\/sup> \u00d7 39<\/p>\n<p>Answer:<br \/>\nThe number of zeros is 3900.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n10<sup>2<\/sup> \u00d7 39<br \/>\n100 x 39 = 3900.<\/p>\n<p>Question 4.<br \/>\n6,471 \u00d7 10<sup>1<\/sup><\/p>\n<p>Answer:<br \/>\nThe number of zeros is 64710.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n6471 x 10.<br \/>\n64710.<\/p>\n<p><strong>Set B<\/strong><br \/>\npages 85-88<br \/>\nEstimate 37 \u00d7 88.<\/p>\n<p><strong>Step 1<\/strong><br \/>\nRound both factors.<br \/>\n37 is about 40 and 88 is about 90.<br \/>\n<strong>Step 2<\/strong><br \/>\nMultiply the rounded factors.<br \/>\n40 \u00d7 90 = 3,600<\/p>\n<p><strong>Remember<\/strong> to either round the factors or use compatible numbers. Estimate each product.<\/p>\n<p>Question 1.<br \/>\n7 \u00d7 396<\/p>\n<p>Answer:<br \/>\n7 x 400 = 2800.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 7 and 396.<br \/>\n396 is equal to 400.<br \/>\n7 x 400 = 2800.<\/p>\n<p>Question 2.<br \/>\n17 \u00d7 63<\/p>\n<p>Answer:<br \/>\n17 x 63 = 1071.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 17 and 63.<br \/>\n17 x 63 = 1071.<\/p>\n<p>Question 3.<br \/>\n91 \u00d7 51<\/p>\n<p>Answer:<br \/>\n90 x 50 = 4500.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 91 and 51.<br \/>\n91 is equal to 90.<br \/>\n51 is equal to 50.<br \/>\n90 x 50 = 4500.<\/p>\n<p>Question 4.<br \/>\n45 \u00d7 806<\/p>\n<p>Answer:<br \/>\n45 x 806 = 36000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 45 and 806.<br \/>\n806 is equal to 800.<br \/>\n45 x 800 = 36000.<\/p>\n<p><strong>Set C<\/strong><br \/>\npages 89-92<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10267\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-99.40.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 99.40\" width=\"66\" height=\"93\" \/><br \/>\nThink:<br \/>\n4 \u00d7 9 ones = 36; 36 is 3 tens 6 ones.<br \/>\n4 \u00d7 4 tens = 16 tens; 16 tens + 3 tens = 19 tens; 19 tens is 1 hundred 9 tens.<br \/>\n4 \u00d7 2 hundreds = 8 hundreds; 8 hundreds + 1 hundred = 9 hundreds<\/p>\n<p><strong>Remember<\/strong> to keep track of the place values. Find each product.<\/p>\n<p>Question 1.<br \/>\n133 \u00d7 3<\/p>\n<p>Answer:<br \/>\n133 x 3 = 399.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 133 and 3.<br \/>\nmultiply two numbers.<br \/>\n133 x 3 = 399.<\/p>\n<p>Question 2.<br \/>\n343 \u00d7 5<\/p>\n<p>Answer:<br \/>\n343 x 5 = 1715.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 343 and 5.<br \/>\nmultiply two numbers.<br \/>\n343 x 5 = 1715.<\/p>\n<p>Question 3.<br \/>\n893 \u00d7 7<\/p>\n<p>Answer:<br \/>\n893 x 7 = 6251.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 893 and 7.<br \/>\nmultiply two numbers.<br \/>\n893 x 7 = 6151.<\/p>\n<p>Question 4.<br \/>\n1,278 \u00d7 4<\/p>\n<p>Answer:<br \/>\n1278 x 4 = 5112.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 1278 and 4.<br \/>\nmultiply two numbers.<br \/>\n1278 x 4 = 5112.<\/p>\n<p><strong>Set D<\/strong><br \/>\npages 93-96<br \/>\nFind 17 \u00d7 35.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10268\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-99.50.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 99.50\" width=\"251\" height=\"144\" \/><\/p>\n<p><strong>Remember<\/strong> that you can draw arrays or area models to represent multiplication.<\/p>\n<p>Find each product.<\/p>\n<p>Question 1.<br \/>\n21 \u00d7 13<\/p>\n<p>Answer:<br \/>\n21 x 13 = 273.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 21 and 13.<br \/>\nmultiply two numbers.<br \/>\n21 x 13 = 273.<\/p>\n<p>Question 2.<br \/>\n34 \u00d7 52<\/p>\n<p>Answer:<br \/>\n34 x 52 = 1768.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 34 and 52.<br \/>\nmultiply two numbers.<br \/>\n34 x 52 = 1768.<\/p>\n<p>Question 3.<br \/>\n89 \u00d7 27<\/p>\n<p>Answer:<br \/>\n89 x 27 = 2403.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 89 and 27.<br \/>\nmultiply two numbers.<br \/>\n89 x 27 = 2403.<\/p>\n<p>Question 4.<br \/>\n78 \u00d7 47<\/p>\n<p>Answer:<br \/>\n78 x 47 = 3666.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 78 and 47.<br \/>\nmultiply two numbers.<br \/>\n78 x 47 = 3666.<\/p>\n<p><strong>Set E<\/strong><br \/>\npages 97-100, 101-104, 105-108<\/p>\n<p>Find 53 \u00d7 406.<br \/>\nEstimate: 50 \u00d7 400 = 20,000<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10269\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-99.60.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 99.60\" width=\"187\" height=\"148\" \/><\/p>\n<p><strong>Remember<\/strong> to regroup if necessary. Estimate to check that your answer is reasonable.<\/p>\n<p>Find each product.<\/p>\n<p>Question 1.<br \/>\n54 \u00d7 9<\/p>\n<p>Answer:<br \/>\n54 x 9 = 486.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 54 and 9.<br \/>\nmultiply two numbers.<br \/>\n54 x 9 = 486.<\/p>\n<p>Question 2.<br \/>\n76 \u00d7 59<\/p>\n<p>Answer:<br \/>\n76 x 59 = 4484.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 76 and 59.<br \/>\nmultiply two numbers.<br \/>\n76 x 59 = 4484.<\/p>\n<p>Question 3.<br \/>\n47 \u00d7 302<\/p>\n<p>Answer:<br \/>\n47 x 302 = 14194.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 47 and 302.<br \/>\nmultiply two numbers.<br \/>\n47 x 302 = 14194.<\/p>\n<p>Question 4.<br \/>\n32 \u00d7 871<\/p>\n<p>Answer:<br \/>\n32 x 871 = 27,872.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 32 and 871.<br \/>\nmultiply two numbers.<br \/>\n32 x 871 = 27872.<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10270\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-99.61.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 99.61\" width=\"66\" height=\"57\" \/><\/p>\n<p>Answer:<br \/>\n604 x 55 = 33,220.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 604 and 55.<br \/>\nmultiply two numbers.<br \/>\n604 x 55 = 33220.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14281\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-66.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-66\" width=\"64\" height=\"99\" \/><\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10271\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-99.62.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 99.62\" width=\"73\" height=\"58\" \/><\/p>\n<p>Answer:<br \/>\n7133 x 4 = 28532.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 7133 and 4.<br \/>\nmultiply two numbers.<br \/>\n7133 x 4 = 28532.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14282\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-67.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-67\" width=\"63\" height=\"75\" \/><\/p>\n<p><strong>Set F<\/strong><br \/>\npages 109-112<br \/>\nDraw a picture and write an equation. Solve.<br \/>\nThe length of James&#8217;s pool is 16 feet. The length of the pool at Wing Park is 4 times as long. How long is the pool at Wing Park?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10272\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-99.63.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 99.63\" width=\"196\" height=\"108\" \/><br \/>\n16 \u00d7 4 = l<br \/>\nl = 64 feet<br \/>\nThe length of Wing Park pool is 64 feet.<\/p>\n<p><strong>Remember<\/strong> that pictures and equations can help you model and solve problems. Draw a picture and write an equation. Solve.<\/p>\n<p>Question 1.<br \/>\nAlexandria has a collection of 34 dolls. A toy store has 15 times as many dolls as Alexandria. How many dolls are in the store?<\/p>\n<p>Answer:<br \/>\nThe number of dolls is in the store = 510.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nAlexandria has a collection of 34 dolls.<br \/>\nA toy store has 15 times as many dolls as Alexandria.<br \/>\n34 x 15 = 510.<br \/>\nso the number of dolls are in the store = 510.<\/p>\n<p>Question 2.<br \/>\nA store received a shipment of 37 TVs valued at $625 each. What is the total value of the shipment?<\/p>\n<p>Answer:<br \/>\nThe total value of the shipment = $23,125.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA store received a shipment of 37 TVS valued at $625 each.<br \/>\n37 x $625 = 23,125.<br \/>\nso the total value of the shipment = $23,125.<\/p>\n<p><strong>Set G<\/strong><br \/>\npages 113-116<br \/>\nThink about these questions to help you critique the reasoning of others.<\/p>\n<p><strong>Thinking Habits<\/strong><br \/>\n\u2022 What questions can I ask to understand other people&#8217;s thinking?<br \/>\n\u2022 Are there mistakes in other people&#8217;s thinking?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10280\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-106.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 106\" width=\"95\" height=\"102\" \/><\/p>\n<p><strong>Remember<\/strong> you need to carefully consider all parts of an argument.<\/p>\n<p>Sarah has 214 bags of beads. Each bag has enough beads for 22 bracelets. She estimates that since 200 \u00d7 20 = 4,000, there are enough beads for at least 4,000 bracelets.<br \/>\nTell how you can critique Sarah&#8217;s reasoning.<\/p>\n<h3>Topic 3 Assessment Practice<\/h3>\n<p>Question 1.<br \/>\nDr. Peterson works 178 hours each month. How many hours does she work in a year?<br \/>\nA. 2,000<br \/>\nB. 2,136<br \/>\nC. 3,000<br \/>\nD. 2,200<\/p>\n<p>Answer:<br \/>\nThe number of hours does she work in a year = 2136.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nDr. Peterson works 178 hours each month.<br \/>\n1 year = 365 days.<br \/>\n1 week = 7 days.<br \/>\n12 x 178 = 2136.<br \/>\nso option B is the correct.<\/p>\n<p>Question 2.<br \/>\nA banana contains 105 calories. Last week, Brendan and Lea ate a total of 14 bananas. How many calories does this represent?<\/p>\n<p>Answer:<br \/>\nThe number of calories does this represent = 1470 calories.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nA banana contains 105 calories.<br \/>\nLast week, Brendan and Lea ate a total of 14 bananas.<br \/>\n105 x 14 = 1470 calories.<br \/>\nso the number of calories does this represent = 1470.<\/p>\n<p>Question 3.<br \/>\nAt a warehouse, 127 delivery trucks were loaded with 48 packages on each truck.<br \/>\nA. Estimate the total number of packages on the trucks. Write an equation to model your work.<br \/>\nB. Did you calculate an overestimate or an underestimate? Explain how you know.<\/p>\n<p>Answer:<br \/>\nThe total number of packages on the trucks = 6096 trucks.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nAt a warehouse, 127 delivery trucks were loaded with 48 packages on each truck.<br \/>\n127 x 48 = 6096.<br \/>\nso the total number of packages on the trucks = 6096.<\/p>\n<p>Question 4.<br \/>\nIs the equation below correct? Explain.<br \/>\n5.6 \u00d7 10<sup>3<\/sup> = 560<br \/>\nA. The equation is incorrect. The product should have 3 zeros.<br \/>\nB. The equation is correct. The product should have 1 zero.<br \/>\nC. The equation is incorrect. The product should have 0 zeros.<br \/>\nD. The equation is incorrect. The product should have 2 zeros.<\/p>\n<p>Answer:<br \/>\nOption A is correct.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n5.6 \u00d7 10<sup>3<\/sup> = 560.<br \/>\n5.6 = 560.<br \/>\n560 x 1000 = 560000.<br \/>\nso option A is correct.<\/p>\n<p>Question 5.<br \/>\nThe latest mystery novel costs $24. The table shows the sales of this novel by a bookstore.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10273\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-99.64.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 99.64\" width=\"260\" height=\"160\" \/><br \/>\nA. What was the dollar amount of sales of the mystery novel on Saturday? Write an equation to model your work.<br \/>\nB. What was the dollar amount of sales of the mystery novel on Friday? Write an equation to model your work.<\/p>\n<p>Answer:<br \/>\nA. The dollar amount of sales of the mystery novel on Saturday = 2472.<br \/>\nB. The dollar amount of sales of the mystery novel on Friday = 3768.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nThe latest mystery novel costs $24.<br \/>\n98 books were sold on Thursday.<br \/>\n103 books were sold on Friday.<br \/>\n157 books were sold on Saturday.<br \/>\n116 books were sold on Sunday.<br \/>\n103 x 24 = 2472.<br \/>\n157 x 24 = 3768.<\/p>\n<p>Question 6.<br \/>\nThere are 45 cans of mi\u00d7ed nuts. Each can has 338 nuts. Below is Mary&#8217;s work to find the total number of nuts. What is the missing number? Enter your answer in the box.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10274\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-99.65.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 99.65\" width=\"146\" height=\"129\" \/><\/p>\n<p>Answer:<br \/>\nThe missing number is 5.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nThere are 45 cans of mi\u00d7ed nuts.<br \/>\nEach can have 338 nuts.<br \/>\n338 x 45 = 15210.<br \/>\nso the missing number is 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14283\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-68.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-68\" width=\"112\" height=\"138\" \/><\/p>\n<p>Question 7.<br \/>\nThere are 36 large fish tanks at the zoo. Each tank holds 205 gallons of water. How many gallons of water would it take to fill all of the tanks?<\/p>\n<p>Answer:<br \/>\nThe number of gallons of water would it take to fill all of the tanks = 7380 gallons.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nThere are 36 large fish tanks at the zoo.<br \/>\nEach tank holds 205 gallons of water.<br \/>\n205 x 36 = 7380.<br \/>\nso the number of gallons of water would it take to fill all of the tanks = 7380 gallons.<\/p>\n<p>Question 8.<br \/>\nKai ordered 1,012 baseball cards. Sharon ordered 5 times as many cards as Kai. Write and solve an equation to find b, the number of baseball cards Sharon ordered.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10275\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-99.70.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 99.70\" width=\"305\" height=\"103\" \/><\/p>\n<p>Answer:<br \/>\nThe number of baseball cards Sharon ordered = 5060 cards.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nKai ordered 1,012 baseball cards.<br \/>\nSharon ordered 5 times as many cards as Kai.<br \/>\n1012 x 5 = 5060.<br \/>\nso the number of baseball cards Sharon ordered = 5060 cards.<\/p>\n<p>Question 9.<br \/>\nMultiply<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10276\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-99.71.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 99.71\" width=\"73\" height=\"56\" \/><\/p>\n<p>Answer:<br \/>\n289 x 16 = 4624.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe two numbers are 289 x 16.<br \/>\nmultiply the two numbers.<br \/>\n289 x 16 = 4624.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14284\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-69.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-69\" width=\"71\" height=\"78\" \/><\/p>\n<p>Question 10.<br \/>\nMatch each number on the left with an equivalent expression.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10277\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-99.72.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 99.72\" width=\"309\" height=\"173\" \/><\/p>\n<p>Answer:<br \/>\n12 x 100 = 1200.<br \/>\n120 = 12 x 10.<br \/>\n12 = 12 x 10.<br \/>\n12000 = 12 x 1000.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n12 x 100 = 1200.<br \/>\n120 = 12 x 10.<br \/>\n12 = 12 x 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14285\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-70.png\" alt=\"Envision-Math-Common-Core-5th-Grade-Answer-Key-Topic-3- Fluently Multiply Multi-Digit Whole Numbers-70\" width=\"254\" height=\"164\" \/><\/p>\n<p>Question 11.<br \/>\nSelect all the expressions that are equal to 3 \u00d7 10<sup>3<\/sup>.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10281\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-108.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 108\" width=\"31\" height=\"30\" \/> 3 \u00d7 1,000<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10281\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-108.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 108\" width=\"31\" height=\"30\" \/> 3 \u00d7 100<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10281\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-108.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 108\" width=\"31\" height=\"30\" \/> 30 \u00d7 100<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10281\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-108.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 108\" width=\"31\" height=\"30\" \/> 300 \u00d7 100<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10281\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-108.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 108\" width=\"31\" height=\"30\" \/> 300 \u00d7 10<\/p>\n<p>Answer:<br \/>\n3 x 1000, 30 x 100, 300 x 10.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n3 x 1000 = 3000.<br \/>\n30 x 100 = 3000.<br \/>\n300 x 10 = 3000.<\/p>\n<p>Question 12.<br \/>\nRosanne has 142 songs on her MP3 player. Teresa has 11 times as many songs as Rosanne. How many songs does Teresa have?<\/p>\n<p>Answer:<br \/>\nThe number of songs does Teresa has = 1562 songs.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nRosanne has 142 songs on her MP3 player.<br \/>\nTeresa has 11 times as many songs as Rosanne.<br \/>\n142 x 11 = 1562 songs.<br \/>\nso the number of songs does Teresa has = 1562 songs.<\/p>\n<h3>Topic 3 Performance Task<\/h3>\n<p><strong>Baseball Apparel<\/strong><br \/>\nCoach Sandberg wants to buy items for the baseball league. The league already has caps with the league logo on them, but the coach would like to offer the option of purchasing a T-shirt, sweatshirt, sweatpants, or jacket with the logo. Use the information in the table to answer the questions.<\/p>\n<p>Question 1.<br \/>\nThe players asked their families and friends if they want to buy T-shirts with the league logo. If 254 people want T-shirts, what would be the total cost? Write an equation to model your work.<\/p>\n<p>Answer:<br \/>\nThe total cost is $3556.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nThe players asked their families and friends if they want to buy T-shirts with the league logo.<br \/>\nIf 254 people want T-shirts,<br \/>\n254 x $14 = 3556.<br \/>\nso the total cost is $3556.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-10282\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-110.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 110\" width=\"254\" height=\"242\" \/><\/p>\n<p>Question 2.<br \/>\nCoach Sandberg wants to order 127 sweatshirts.<br \/>\n<strong>Part A<\/strong><br \/>\nWill the total cost of the sweatshirts be greater than or less than $3,000? Use estimation to decide. Explain your reasoning.<br \/>\n<strong>Part B<\/strong><br \/>\nWhat is the total cost of 127 sweatshirts?<\/p>\n<p>Answer:<br \/>\nThe total cost of 127 sweatshirts = $4064.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe cost of sweatshirts = $32.<br \/>\n127 x $32 = $4064.<br \/>\nso the total cost of 127 sweatshirts = $4064.<\/p>\n<p>Question 3.<br \/>\nWhich would cost more, 32 T-shirts or 14 sweatshirts? How can you tell without multiplying?<\/p>\n<p>Answer:<br \/>\nThe two items cost the same.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nthe cost of the T-shirts = $14.<br \/>\ncost of\u00a0 sweatshirts = $32.<br \/>\n32 x 14 = $448.<br \/>\n14 x 32 = $448.<br \/>\nso the two items cost the same.<\/p>\n<p>Question 4.<br \/>\nThere are 18 \u00d7 10<sup>1<\/sup> players in the league.<br \/>\n<strong>Part A<\/strong><br \/>\nThe league raised $1,560 through fundraisers. Trenton estimates the cost of buying jackets for each player in the league. He concludes that the league has raised enough money. Do you agree with Trenton? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-10278\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/06\/Envision-Math-Common-Core-Grade-5-Answers-Topic-3-Fluently-Multiply-Multi-Digit-Whole-Numbers-102.png\" alt=\"Envision Math Common Core Grade 5 Answers Topic 3 Fluently Multiply Multi-Digit Whole Numbers 102\" width=\"187\" height=\"148\" \/><\/p>\n<p>Answer:<br \/>\nYes, I agree with it.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nThe league raised $1,560 through fundraisers.<br \/>\nTrenton estimates the cost of buying jackets for each player in the league.<br \/>\n200 x 50 = 1000.<br \/>\nso I agree with it.<\/p>\n<p><strong>Part B<\/strong><br \/>\nHow much would it cost to order sweatpants for each player? Write and solve an equation with a variable to show your work.<\/p>\n<p>Answer:<br \/>\nThe cost to order sweatpants for each player =<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n$24<\/p>\n<p>Question 5.<br \/>\nWhich costs more: 136 sweatpants or 103 sweatshirts? How much more?<\/p>\n<p>Answer:<br \/>\nThe more is 32.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\n136 x $24 = $3264.<br \/>\n103 x $32 = 3296.<br \/>\n3296 &#8211; 3264 = 32.<\/p>\n<p>Question 6.<br \/>\nCoach Sandberg wants to order 115 jackets and 27 caps for $12 each.<br \/>\n<strong>Part A<\/strong><br \/>\nEstimate the total cost for his order. Show your work.<br \/>\n<strong>Part B<\/strong><br \/>\nWhat is his total cost? Compare your answer to your estimate.<\/p>\n<p>Answer:<br \/>\nThe total cost is $439.<\/p>\n<p>Explanation:<br \/>\nIn the above-given question,<br \/>\ngiven that,<br \/>\nCoach Sandberg wants to order 115 jackets and 27 caps for $12 each.<br \/>\n27 x 12 = $324.<br \/>\n$324 + 115 = 439.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Practice with the help of enVision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers regularly and improve your accuracy in solving questions. enVision Math Common Core 5th Grade Answers Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers Essential Question: What are the standard procedures for estimating and finding products &#8230; <a title=\"enVision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/envision-math-common-core-grade-5-answer-key-topic-3\/\" aria-label=\"More on enVision Math Common Core Grade 5 Answer Key Topic 3 Fluently Multiply Multi-Digit Whole Numbers\">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\/90118"}],"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=90118"}],"version-history":[{"count":2,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/90118\/revisions"}],"predecessor-version":[{"id":90120,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/90118\/revisions\/90120"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=90118"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=90118"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=90118"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}