{"id":15738,"date":"2022-04-01T11:20:24","date_gmt":"2022-04-01T05:50:24","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=15738"},"modified":"2022-04-07T10:59:52","modified_gmt":"2022-04-07T05:29:52","slug":"big-ideas-math-answers-grade-5-chapter-5","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5-chapter-5\/","title":{"rendered":"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals"},"content":{"rendered":"<p>What are you searching for? If you are really on the hunt for the best source to learn the Multiply Decimals concept, then refer to B<strong>ig Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals<\/strong>. Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals is the one-stop solution for better learning. All types of problems, practice tests, explanations, step-by-step solving processes, real-time examples are provided on our material. Therefore, students who want to become math experts can use our material and get good marks in the exam. Chapter-wise topics are given for the best practice of students. Make use of our <a href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5\/\">Big Ideas Grade 5 Math Answers<\/a> and learn perfectly.<\/p>\n<h2>Big Ideas 5th Grade Chapter 5 Multiply Decimals Math Book Answer Key<\/h2>\n<p>For the best practice, refer to all the links available below. Every link refers to every individual topic. On our website, we have given various methods to learn in-depth concepts. Therefore, find the best way that makes your preparation easy. never waste a single moment. Immediately start your preparation and finish all problems. Accurate learning is in your hands if you prepare with the<em> <strong>Big Ideas Math Book 5th Grade Chapter 5 Multiply Decimals Answer Key.<\/strong><\/em><\/p>\n<p><strong>Lesson: 1 Multiplication Patterns with Decimals<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_5.1_Multiplication_Patterns_with_Decimals\">Lesson 5.1 Multiplication Patterns with Decimals<\/a><\/li>\n<li><a href=\"#Multiplication_Patterns_with_Decimals_Homework_&amp;_Practice_5.1\">Multiplication Patterns with Decimals Homework &amp; Practice 5.1<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 2 Estimate Products of Decimals and Whole Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_5.2_Estimate_Products_of_Decimals_and_Whole_Numbers\">Lesson 5.2 Estimate Products of Decimals and Whole Numbers<\/a><\/li>\n<li><a href=\"#Estimate_Products_of_Decimals_and_Whole_Numbers_Homework_&amp;_Practice_5.2\">Estimate Products of Decimals and Whole Numbers Homework &amp; Practice 5.2<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 3 Use Models to Multiply Decimals and Whole Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_5.3_Use_Models_to_Multiply_Decimals_and_Whole_Numbers\">Lesson 5.3 Use Models to Multiply Decimals and Whole Numbers<\/a><\/li>\n<li><a href=\"#Use_Models_to_Multiply_Decimals_and_Whole_Numbers_Homework_&amp;_Practice_5.3\">Use Models to Multiply Decimals and Whole Numbers Homework &amp; Practice 5.3<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 4 Multiply Decimals and Whole Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_5.4_Multiply_Decimals_and_Whole_Numbers\">Lesson 5.4 Multiply Decimals and Whole Numbers<\/a><\/li>\n<li><a href=\"#Multiply_Decimals_and_Whole_Numbers_Homework_&amp;_Practice_5.4\">Multiply Decimals and Whole Numbers Homework &amp; Practice 5.4<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 5.5 Use Models to Multiply Decimals<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_5.5_Use_Models_to_Multiply_Decimals\">Lesson 5.5 Use Models to Multiply Decimals<\/a><\/li>\n<li><a href=\"#Use_Models_to_Multiply_Decimals_Homework_&amp;_Practice_5.5\">Use Models to Multiply Decimals Homework &amp; Practice 5.5<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 6 Use Partial Products to Multiply Decimals<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_5.6_Use_Partial_Products_to_Multiply_Decimals\">Lesson 5.6 Use Partial Products to Multiply Decimals<\/a><\/li>\n<li><a href=\"#Use_Partial_Products_to_Multiply_Decimals_Homework_&amp;_Practice_5.6\">Use Partial Products to Multiply Decimals Homework &amp; Practice 5.6<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 7 Use Strategies to Multiply Decimals<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_5.7_Use_Strategies_to_Multiply_Decimals\">Lesson 5.7 Use Strategies to Multiply Decimals<\/a><\/li>\n<li><a href=\"#Use_Strategies_to_Multiply_Decimals_Homework_&amp;_Practice_5.7\">Use Strategies to Multiply Decimals Homework &amp; Practice 5.7<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 8 Multiply Decimals<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_5.8_Multiply_Decimals\">Lesson 5.8 Multiply Decimals<\/a><\/li>\n<li><a href=\"#Multiply_Decimals_Homework_&amp;_Practice_5.8\">Multiply Decimals Homework &amp; Practice 5.8<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 9 Problem Solving: Multiply with Money<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_5.9_Problem_Solving:_Multiply_with_Money\">Lesson 5.9 Problem Solving: Multiply with Money<\/a><\/li>\n<li><a href=\"#Problem_Solving:_Multiply_with_Money_Homework_&amp;_Practice_5.9\">Problem Solving: Multiply with Money Homework &amp; Practice 5.9<\/a><\/li>\n<\/ul>\n<p><strong>Chapter: 5 &#8211; Multiply Decimals<\/strong><\/p>\n<ul>\n<li><a href=\"#Multiply_Decimals_Performance_Task\">Multiply Decimals Performance Task<\/a><\/li>\n<li><a href=\"#Multiply_Decimals_Activity\">Multiply Decimals Activity<\/a><\/li>\n<li><a href=\"#Multiply_Decimals_Chapter_Practice\">Multiply Decimals Chapter Practice<\/a><\/li>\n<\/ul>\n<h3><a id=\"Lesson_5.1_Multiplication_Patterns_with_Decimals\"><\/a>Lesson 5.1 Multiplication Patterns with Decimals<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use the relationship between positions in a place value chart to find each product.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15739\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.1 1\" width=\"582\" height=\"277\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-1.png 582w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-1-300x143.png 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><br \/>\nWhat patterns do you notice?<br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-30926\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-idea-math-answer-grade5-chapter5-L1-d1.png\" alt=\"\" width=\"579\" height=\"281\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-idea-math-answer-grade5-chapter5-L1-d1.png 579w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-idea-math-answer-grade5-chapter5-L1-d1-300x146.png 300w\" sizes=\"(max-width: 579px) 100vw, 579px\" \/><\/p>\n<p>I notice that in first value chart the decimal point\u00a0 shifts one place to the right and in the second value chart the decimal point shifts one place to the left.<\/p>\n<p><strong>Structure<\/strong><br \/>\nDescribe the placement of the decimal point when multiplying a decimal by 10, 100, 0.1, and 0.01.<br \/>\nAnswer:<br \/>\nWhen we multiply 0.01with 10 the decimal point shifts one place to the right(10\u00d70.01=0.1)<br \/>\nWhen we multiply 0.01with 100 the decimal point shifts two places to the right(100\u00d70.01=1)<br \/>\nWhen we multiply 0.01 with 0.1 the decimal point shifts one place to the left(0.1\u00d70.01=0.001).<\/p>\n<p><strong>Think and Grow: Use Patterns to Find Products<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 0.38 \u00d7 10<sup>3<\/sup>.<br \/>\nUse place value concepts. Every time you multiply a number by 10, each digit in the number shifts one position to the left in a place value chart.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15740\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-2.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.1 2\" width=\"623\" height=\"167\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-2.png 623w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-2-300x80.png 300w\" sizes=\"(max-width: 623px) 100vw, 623px\" \/><br \/>\nSo, 0.38 \u00d7 10<sup>3<\/sup> = ______.<br \/>\nNotice the pattern: In each product, the number of places the decimal point moves to the right is the same as the exponent.<\/p>\n<p><strong>Example<\/strong><br \/>\nFind 9.2 \u00d7 0.01.<br \/>\nUse place value concepts. Every time you multiply a number by \\(\\frac{1}{10}\\) = 0.1, 10each digit in the number shifts one position to the right in a place value chart.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15741\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-3.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.1 3\" width=\"623\" height=\"157\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-3.png 623w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-3-300x76.png 300w\" sizes=\"(max-width: 623px) 100vw, 623px\" \/><br \/>\nNotice the pattern: When you multiply by0.1, the decimal point moves one place to the left. When you multiply by 0.01, the decimal point moves two places to the left.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 1.<br \/>\n2.51 \u00d7 10<sup>4<\/sup> = _______<br \/>\nAnswer:<br \/>\n2.51\u00d710000=25,100<\/p>\n<p>Explanation:<br \/>\n2.51&#215;1=2.51<br \/>\n2.51x 10<sup>1<\/sup> =2.51&#215;10=25.1<br \/>\n2.51x 10<sup>2<\/sup> =2.51&#215;100=251<br \/>\n2.51x 10<sup>3<\/sup> =2.51&#215;1000=2510<br \/>\n2.51x 10<sup>4<\/sup> =2.51&#215;10000=25100<br \/>\nSo, 2.51x 10<sup>4<\/sup> =25100<br \/>\nWhen we multiply 2.51 by 10<sup>4<\/sup> the number of places the decimal point moves to the right is the same as the exponent ie 4 places.<\/p>\n<p>Question 2.<br \/>\n0.7 \u00d7 0.01 = ______<br \/>\nAnswer:<br \/>\n0.7 \u00d7 0.01 = 0.007<\/p>\n<p>Explanation:<br \/>\n0.7&#215;1=0.7<br \/>\n0.7&#215;0.1=0.07<br \/>\n0.7&#215;0.01=0.007<br \/>\nSo, 0.7&#215;0.01=0.007<br \/>\nWhen you multiply 0.7 by 0.1, the decimal point moves one place to the left. When you multiply 0.7 by 0.01, the decimal point moves two places to the left.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 3.<br \/>\n4.1 \u00d7 10<sup>2<\/sup> = _______<br \/>\nAnswer:<br \/>\n4.1\u00d7100=410<\/p>\n<p>Explanation:<br \/>\n4.1&#215;1=4.1<br \/>\n4.1x 10<sup>1<\/sup> =4.1&#215;10=41<br \/>\n4.1x 10<sup>2<\/sup> =4.1&#215;100=410<br \/>\nSo, 4.1&#215;10<sup>2<\/sup> =410<br \/>\nWhen we multiply 4.1 by 10<sup>2<\/sup> the number of places the decimal point moves to the right is the same as the exponent ie 2.<\/p>\n<p>Question 4.<br \/>\n7.03 \u00d7 0.1 = _______<br \/>\nAnswer:<br \/>\n7.03\u00d70.1=0.703<\/p>\n<p>Explanation:<br \/>\n7.03&#215;1=7.03<br \/>\n7.03&#215;0.1=0.703<br \/>\nSo, 7.03&#215;0.1=0.703<br \/>\nWhen you multiply 7.03 by 0.1, the decimal point moves one place to the left.<\/p>\n<p><span style=\"font-size: 16px;\">Question 5.<\/span><\/p>\n<p>16.579 \u00d7 10<sup>4<\/sup> = _______<br \/>\nAnswer:<br \/>\n16.579\u00d710000=1,65,790<\/p>\n<p>Explanation:<br \/>\n16.579&#215;1=16.579<br \/>\n16.579x 10<sup>1<\/sup> =16.579&#215;10=165.79<br \/>\n16.579x 10<sup>2<\/sup> =16.579&#215;100=1657.9<br \/>\n16.579x 10<sup>3<\/sup> =16.579&#215;1000=16,579<br \/>\n16.579x 10<sup>4<\/sup> =16.579&#215;10000=1,65,790<br \/>\nSo, 16.579x 10<sup>4<\/sup> =1,65,790<br \/>\nWhen we multiply 16.579 by 10<sup>4 <\/sup>the number of places the decimal point moves to the right is the same as the exponent ie 4.<\/p>\n<p>Question 6.<br \/>\n843.7 \u00d7 0.01 = _______<br \/>\nAnswer:<br \/>\n843.7\u00d70.01=8.437<\/p>\n<p>Explanation:<br \/>\n843.7&#215;1=843.7<br \/>\n843.7&#215;0.1=84.37<br \/>\n843.7&#215;0.01=8.437<br \/>\nSo, 843.7&#215;0.01=8.437<br \/>\nWhen we multiply 843.7 by 0.1, the decimal point moves one place to the left.When you multiply 843.7 by 0.01, the decimal point moves two placs to the left.<\/p>\n<p>Question 7.<br \/>\nA contractor installs a new floor of a room using 1,000 square tiles. Each tile has an area of 1.25 square feet. What is the area of the floor?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15742\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-4.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.1 4\" width=\"168\" height=\"154\" \/><br \/>\nAnswer:<br \/>\nThere are 1,000 square tiles in a room, Area of each tile is 1.25 square feet<br \/>\nFind the area of the floor by multiplying Area of tile by Number of tiles.<br \/>\nMultiplying 1.25 by 1000, shifts the digits 3 positions to the left in a place value chart.So, the decimal point moves 3 places to the right.<br \/>\n=1.25&#215;1000=1,250 square feet<br \/>\nTherefore Area of floor is 1,250 square feet.<\/p>\n<p><strong>Reasoning<\/strong><br \/>\n<strong>complete the equation<\/strong><\/p>\n<p>Question 9.<br \/>\n_____ \u00d7 10<sup>3<\/sup> = 6,209<br \/>\nAnswer:<br \/>\n6.209\u00d71000=6,209<\/p>\n<p>Explanation:<br \/>\nMultiplying something by 1000, shifts the digits 3 positions to the left in a place value chart.So, the decimal point moves 3 places to the right.As the number 6,209 is already multiplyed by 1000 now to know the missing factor shift the decimal point 3 places to the left.<br \/>\nSo, the number is 6.209<\/p>\n<p>Question 10.<br \/>\n_____ \u00d7 0.01 = 1.879<br \/>\nAnswer:<br \/>\n187.9=0.01=1.879<\/p>\n<p>Explanation:<br \/>\nWhen you multiply by 0.1, the decimal point moves one place to the left.When you multiply by 0.01, the decimal point moves two places to the left.As the number 1.879 is already multiplied by 0.01 now to know the missing factor shift the decimal point two places to the right.<br \/>\nSo, the number is 187.9<\/p>\n<p>Question 11.<br \/>\n0.045 \u00d7 _____ = 45<br \/>\nAnswer:<br \/>\n0.045\u00d71000=45<\/p>\n<p>Explanation:<br \/>\n0.045&#215;1=0.045<br \/>\n0.045&#215;10=0.45<br \/>\n0.045&#215;100=4.5<br \/>\n0.045&#215;1000=45<br \/>\nWhen we multiply 0.045 by 1000 the decimal point moves 3 placed to the right.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA flea is 1.5 millimeters long. A magnified image of the flea is 100 times as long as its actual length. How much longer is the flea in the image than its actual length?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15743\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-5.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.1 5\" width=\"169\" height=\"133\" \/><br \/>\nFind the length of the flea in the image by multiplying the length of the flea by 100.<br \/>\nMultiplying 1.5 by 100, or 10<sup>2<\/sup>, shifts the digits _____ positions to the left in a place value chart. So, the decimal point moves ____ places to the right.<br \/>\n1.5 \u00d7 100 = 1.5 \u00d7 10<sup>2<\/sup> = ______<br \/>\nThe length of the flea in the image is _______ millimeters.<br \/>\nSubtract the length of the flea from the length of the flea in the image.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15744\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-6.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.1 6\" width=\"86\" height=\"75\" \/><br \/>\nThe flea in the image is ________ millimeters longer than its actual length.<\/p>\n<p>Answer:<br \/>\nMultiplying 1.5 by 100, or 10<sup>2<\/sup>, shifts the digits right positions to the left in a place value chart. So, the decimal point moves left places to the right.<br \/>\n1.5 \u00d7 100 = 1.5 \u00d7 10<sup>2<\/sup> = 150<br \/>\nThe length of the flea in the image is 150 millimeters.<br \/>\n150 &#8211; 1.5 = 148.5<br \/>\nThe flea in the image is 148.5 millimeters longer than its actual length.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 12.<br \/>\nThe London Eye is a 443-foot-tall Ferris wheel. A model is 0.01 times as tall as the actual Ferris wheel. How much taller is the actual London Eye than the model?<br \/>\nAnswer:<br \/>\nThe London Eye is 443 feet tall Ferris, a model is 0.01 times tall as actual Ferris.<br \/>\nWhen we multiply 443 by 0.01 the decimal point moves 2 places to the left<br \/>\n443\u00d70.01=4.43. So, the area of the model is 4.43 feet.<br \/>\nSubtract the area of the model from the actual area of the Ferris.<br \/>\n443.00\u2010 4.43=438.57<br \/>\nThe actual London Eye ferris wheel is 438.57 feet taller than a model ferris wheel.<\/p>\n<p>Question 13.<br \/>\nEach day,you ride your bike from home to school and back. Your school is 0.9 mile from home. How far do you ride your bike in 10 days?<br \/>\nAnswer:<br \/>\nMy school is 0.9 mile from my home.If I ride bike from home to school and back every day then I ride 1.8(0.9\u00d72) miles every day.<br \/>\nIf each day I ride 1.8 miles then for 10 days i ride 1.8\u00d710=18 miles.<br \/>\nWhen we multiply 1.8 by 10 and the decimal point moves 1 places to the right.<br \/>\nTherefore I ride 18 miles in 10 days.<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nAn eel travels at a speed of 2 miles per hour. A starfish travels one hundredth the speed of the eel. A falcon travels 10,000 times as fast as the starfish. How many more miles per hour can the falcon travel than the eel?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15745\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-7.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.1 7\" width=\"142\" height=\"141\" \/><br \/>\nAnswer:<br \/>\nAn eel travels at a speed of 2 miles per hour.A starfish and travels one hundredth the speed of the eel.<br \/>\nSpeed of starfish is 2\u00d70.01(one hundredth)=0.02miles per hour.<br \/>\nWhen we multiply 2 by 0.01 the decimal point moves 2 places to the left<br \/>\nA falcon travels 10,000 times as fast as the starfish.<br \/>\nSpeed of falcon is 10,000\u00d70.02(speed of starfish)=200 miles per hour.<br \/>\nWhen we multiply 0.02 by 10000 the decimal point moves 4 places to the right<br \/>\nA falcon can travel 200 miles more miles per hour than the eel.<\/p>\n<h3><a id=\"Multiplication_Patterns_with_Decimals_Homework_&amp;_Practice_5.1\"><\/a>Multiplication Patterns with Decimals Homework &amp; Practice 5.1<\/h3>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 1.<br \/>\n5.201 \u00d7 10 = ______<br \/>\nAnswer:<br \/>\n5.201 \u00d7 10 =52.01<\/p>\n<p>Explanation:<br \/>\n5.201\u00d71=5.201<br \/>\n5.201\u00d710=52.01<br \/>\nSo, 5.201\u00d710=52.01<br \/>\nWhen we multiply 5.201 by 10 the decimal point moves one place to the right.<\/p>\n<p>Question 2.<br \/>\n26.7 \u00d7 0.01 = _____<br \/>\nAnswer:<br \/>\n26.7 \u00d7 0.01 =0.267<\/p>\n<p>Explanation:<br \/>\n26.7\u00d71=26.7<br \/>\n26.7\u00d70.1=2.67<br \/>\n26.7\u00d70.01=0.267<br \/>\nSo, 26.7 \u00d7 0.01 =0.267<br \/>\nWhen we multiply 26.7 by 0.1, the decimal point moves one place to the left. When you multiply 26.7 by 0.01, the decimal point moves two places to the left.<\/p>\n<p>Question 3.<br \/>\n0.095 \u00d7 10<sup>3<\/sup> = ______<br \/>\nAnswer:<br \/>\n0.095 \u00d7 10<sup>3<\/sup> =0.095\u00d71000=95<\/p>\n<p>Explanation:<br \/>\n0.095&#215;1=0.095<br \/>\n0.095x 10<sup>1<\/sup> =0.095&#215;10=0.95<br \/>\n0.095x 10<sup>2<\/sup> =0.095&#215;100=9.5<br \/>\n0.095x 10<sup>3<\/sup> =0.095\u00d71000=95<br \/>\nSo, 0.095 \u00d7 10<sup>3<\/sup> =95<br \/>\nWhen we multiply 0.095 by 10<sup>3<\/sup> the number of places the decimal point moves to the right is the same as the exponent ie 3 places.<\/p>\n<p>Question 4.<br \/>\n37.84 \u00d7 0.1 = ______<br \/>\nAnswer:<br \/>\n37.84 \u00d7 0.1 =3.784<\/p>\n<p>Explanation:<br \/>\n37.84\u00d71=37.84<br \/>\n37.84\u00d70.1=3.784<br \/>\nSo, 37.84\u00d70.1=3.784<br \/>\nWhen we multiply 37.84 by 0.1, the decimal point moves one place to the left.<\/p>\n<p>Question 5.<br \/>\n0.26 \u00d7 10<sup>4<\/sup> = ______<br \/>\nAnswer:<br \/>\n0.26 \u00d7 10<sup>4<\/sup> =0.26\u00d710000=2600<\/p>\n<p>Explanation:<br \/>\n0.26&#215;1=0.26<br \/>\n0.26x 10<sup>1<\/sup> =0.26&#215;10=2.6<br \/>\n0.26x 10<sup>2<\/sup> =0.26&#215;100=26<br \/>\n0.26x 10<sup>3<\/sup> =0.26&#215;1000=260<br \/>\n0.26x 10<sup>4<\/sup> =0.26&#215;10000=2600<br \/>\nSo, 0.26x 10<sup>4<\/sup> =2600<br \/>\nWhen we multiply 0.26 by 10<sup>4<\/sup> the number of places the decimal point moves to the right is the same as the exponent ie 4 places.<\/p>\n<p>Question 6.<br \/>\n15.9 \u00d7 0.01 = ______<br \/>\nAnswer:<br \/>\n15.9 \u00d7 0.01 =0.159<\/p>\n<p>Explanation:<br \/>\n15.9&#215;1=15.9<br \/>\n15.9&#215;0.1=1.59<br \/>\n15.9&#215;0.01=0.159<br \/>\nSo, 15.9&#215;0.01=0.159<br \/>\nwhen we multiply 15.9 by 0.01 the decimal point moves two places to the left.<\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 7.<br \/>\n0.8 \u00d7 0.01 = ______<br \/>\nAnswer:<br \/>\n0.8 \u00d7 0.01 =0.008<\/p>\n<p>Explanation:<br \/>\n0.8\u00d71=0.8<br \/>\n0.8\u00d70.1=0.08<br \/>\n0.8\u00d70.01=0.008<br \/>\nSo, 0.8\u00d70.01=0.008<br \/>\nWhen we multiply 0.8 by 0.1, the decimal point moves one place to the left. When you multiply 0.8 by 0.01, the decimal point moves two places to the left.<\/p>\n<p>Question 8.<br \/>\n3.1 \u00d7 10<sup>4<\/sup> = ______<br \/>\nAnswer:<br \/>\n3.1 \u00d7 10<sup>4<\/sup> =3.1\u00d710000=31000<\/p>\n<p>Explanation:<br \/>\n3.1&#215;1=3.1<br \/>\n3.1x 10<sup>1<\/sup> =3.1&#215;10=31<br \/>\n3.1x 10<sup>2<\/sup> =3.1&#215;100=310<br \/>\n3.1x 10<sup>3<\/sup> =3.1&#215;1000=3100<br \/>\n3.1x 10<sup>4<\/sup> =3.1&#215;10000=31000<br \/>\nSo, 3.1x 10<sup>4<\/sup> =31000<br \/>\nWhen we multiply 3.1 by 10<sup>4<\/sup> the number of places the decimal point moves to the right is the same as the exponent ie 4 places.<\/p>\n<p>Question 9.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain how you can use mental math to find 5.4 \u00d7 10<sup>3<\/sup> and 5.4 \u00d7 0.01.<br \/>\nAnswer:<br \/>\n5.4 \u00d7 10<sup>3<\/sup> and 5.4 \u00d7 0.01<br \/>\n5.4 \u00d7 10<sup>3<\/sup><br \/>\n5.4 \u00d7 10 \u00d7 10 \u00d7 10<br \/>\n= 54 \u00d7 100<br \/>\n= 5400<br \/>\n5.4 \u00d7 0.01 = 0.054<\/p>\n<p>Question 10.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWhat is Newton\u2019s number?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15746\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-8.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.1 8\" width=\"186\" height=\"162\" \/><br \/>\nAnswer:<br \/>\nNewton&#8217;s number is 49.874<\/p>\n<p>Explanation:<br \/>\nSubtract 12.6 from 5000<br \/>\n5000\u201012.6=4987.4<br \/>\nDivide the balance with 100 to find Newton&#8217;s number.<br \/>\n4987.4\u00d70.01=49.874<br \/>\nWhen you multiply 4987.4 by 0.01, the decimal point moves two places to the left.<br \/>\nNewton&#8217;s number is 49.874<\/p>\n<p>Question 11.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA house cat weighs 9.22 pounds. Hercules the liger is the world\u2019s largest cat, and weighs 100 times the weight of the house cat. How much more does Hercules weigh than the house cat?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15747\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-9.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.1 9\" width=\"212\" height=\"124\" \/><br \/>\nAnswer:<br \/>\nHercules weigh\u00a0 912.7 pounds more than the house cat.<\/p>\n<p>Explanation:<br \/>\nA house cat weighs 9.22 pounds, Hercules the liger is the world\u2019s largest cat and weighs 100 times more than a house cat.<br \/>\nThe weight of Hercules is 9.22\u00d7100=922 pounds<br \/>\nWhen we multiply 9.22 by 100 the decimal point moves 2 places to the right.<br \/>\nSubtract weight of house cat from the weight of Hercules =922\u20109.22=912.7<br \/>\nHercules weigh\u00a0 912.7 pounds more than the house cat.<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA Tyrannosaurus rex weighed about 1.4 tons more than one-tenth the weight of a Patagotitan. About how much did the mayorumTyrannosaurus rex weigh?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15748\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.1-10.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.1 10\" width=\"198\" height=\"226\" \/><br \/>\nAnswer:<br \/>\nMayorumTyrannosaurus rex weigh=9 tons.<\/p>\n<p>Explanation:<br \/>\nWeight of patagotitan mayorum is 76 tons and One\u2010tenth of patagotitan is 76\u00d70.1=7.6 tons.<br \/>\nWhen you multiply 76.0 by 0.1 , the decimal point moves one places to the left.<br \/>\nA Tyrannosaurus rex weighed about 1.4 tons more than one-tenth the weight of a Patagotitan<br \/>\nWeight of Tyrannosaurus rex=1.4 tons + 7.6 tons= 9 tons<br \/>\nMayorumTyrannosaurus rex weigh=9 tons.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 13.<br \/>\nNewton and Descartes have a $50.00 gift card to a pet store. Newton\u2019s total is $18.95 and Descartes\u2019s total is $24.38. How much money do they have left on their gift card?<br \/>\nAnswer:<br \/>\nNewton\u2019s total is $18.95 and Descartes\u2019s total is $24.38.<br \/>\nTotal money they spent in a pet store =$18.95+$24.38 =$43.33<br \/>\nNewton and Descartes have a $50.00 gift card to a pet store<br \/>\nSubtract the money they spent in a pet store from the gift card money<br \/>\n$50.00\u2010$43.33=$6.67<br \/>\nTherefore , $6.67 is the amount they have left on their gift card.<\/p>\n<h3><a id=\"Lesson_5.2_Estimate_Products_of_Decimals_and_Whole_Numbers\"><\/a>Lesson 5.2 Estimate Products of Decimals and Whole Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Choose an expression to estimate each product. Write the expression. You may use an expression more than once.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15749\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.2-1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.2 1\" width=\"573\" height=\"220\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.2-1.png 573w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.2-1-300x115.png 300w\" sizes=\"(max-width: 573px) 100vw, 573px\" \/><br \/>\nCompare your answers with a partner. Did you choose the same expressions?<br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-30927\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-idea-math-answer-grade5-chapter5-L2-d1.png\" alt=\"\" width=\"565\" height=\"223\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-idea-math-answer-grade5-chapter5-L2-d1.png 565w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-idea-math-answer-grade5-chapter5-L2-d1-300x118.png 300w\" sizes=\"(max-width: 565px) 100vw, 565px\" \/><\/p>\n<p>when i compared my answers with my partners answers i found that we didnot choose the same expressions.<\/p>\n<p><strong>Construct Arguments<\/strong><br \/>\nWhich estimated product do you think will be closer to the product of 2.7 and 9? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15750\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.2-2.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.2 2\" width=\"109\" height=\"133\" \/><br \/>\nAnswer:<br \/>\nThe estimated product of 3 and 9 is closer to the product of 2.7 and 9.<\/p>\n<p>Explanation:<br \/>\nThe product of 2.7 and 9 is 2.7\u00d79=24.3<br \/>\nThe product of 3 and 9 is 3\u00d79=27<br \/>\nThe product of 3 and 10 is 3\u00d710=30<br \/>\n24.3 is closer to 27<br \/>\nTherefore the estimated product of 3 and 9 is closer to the product of 2.7 and 9.<\/p>\n<p><strong>Think and Grow: Estimate Products<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nEstimate 3.85 \u00d7 27.<br \/>\nOne Way: Use rounding. Round 3.85 to the nearest whole number. Then multiply.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15751\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.2-3.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.2 3\" width=\"107\" height=\"95\" \/><br \/>\n4 \u00d7 27 = ______<br \/>\nSo, 3.85 \u00d7 27 is about = ______<\/p>\n<p>Answer:<br \/>\n4 \u00d7 27 = 108<br \/>\nSo, 3.85 \u00d7 27 is about = 104<\/p>\n<p>Another Way: Use compatible numbers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15752\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.2-4.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.2 4\" width=\"79\" height=\"90\" \/><br \/>\n4 \u00d7 25 = ______<br \/>\nSo, 3.85 \u00d7 27 is about = ______.<\/p>\n<p>Answer:<br \/>\n4 \u00d7 25 = 100<br \/>\nSo, 3.85 \u00d7 27 is about = 100.<\/p>\n<p><strong>Example<\/strong><br \/>\nEstimate 77 \u00d7 93.6.<br \/>\nOne Way: Use rounding. Round to the nearest ten. Then multiply.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15753\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.2-5.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.2 5\" width=\"107\" height=\"92\" \/><br \/>\n80 \u00d7 90 = _____<br \/>\nSo, 77 \u00d7 93.6 is about = ______<\/p>\n<p>Answer:<br \/>\n80 \u00d7 90 = 7200<br \/>\nSo, 77 \u00d7 93.6 is about = 7200<\/p>\n<p>Another Way: Use compatible numbers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15754\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.2-6.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.2 6\" width=\"91\" height=\"97\" \/><br \/>\n75 \u00d7 100 = _______<br \/>\nSo, 77 \u00d7 93.6 is about = ______.<\/p>\n<p>Answer:<br \/>\n75 \u00d7 100 = 7500<br \/>\nSo, 77 \u00d7 93.6 is about = 7207.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Estimate the product.<\/strong><br \/>\nQuestion 1.<br \/>\n11.6 \u00d7 9<\/p>\n<p>Answer:<br \/>\nUse rounding. Round 11.6 to the nearest whole number. Then multiply.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37112\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-1.png\" alt=\"\" width=\"92\" height=\"107\" \/><br \/>\n12\u00d79=108<br \/>\nSo, 11.6\u00d79 is about =108<br \/>\nAnother Way: Use compatible numbers<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37114\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-2.png\" alt=\"\" width=\"110\" height=\"105\" \/><br \/>\n10\u00d710=100<br \/>\nSo, 11.6\u00d7 9 is about =100<\/p>\n<p>Question 2.<br \/>\n159.81 \u00d7 17<br \/>\nAnswer:<br \/>\nOne Way: Use rounding. Round 159.81 to the nearest whole number. Then multiply.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37115\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-4.png\" alt=\"\" width=\"110\" height=\"104\" \/><br \/>\n160\u00d717=2720<br \/>\nSo, 159.81\u00d717 is about =2720<br \/>\nAnother Way: Use compatible numbers<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37117\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-5.png\" alt=\"\" width=\"110\" height=\"88\" \/><br \/>\n150\u00d720=3000<br \/>\nSo, 159.81\u00d717 is about =3000<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Estimate the product.<\/strong><br \/>\nQuestion 3.<br \/>\n72 \u00d7 0.76<br \/>\nAnswer:<br \/>\nUse rounding. Round 0.76 to the nearest whole number. Then multiply.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37118\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-6.png\" alt=\"\" width=\"100\" height=\"113\" \/><br \/>\n72\u00d71 =72<br \/>\nSo, 72\u00d70.76 is about =72<\/p>\n<p>Question 4.<br \/>\n6.1 \u00d7 4<br \/>\nAnswer:<br \/>\nUse rounding. Round 6.1 to the nearest whole number. Then multiply.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37119\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-7.png\" alt=\"\" width=\"110\" height=\"134\" \/><br \/>\n6\u00d74=24<br \/>\nSo, 6.1\u00d74 is about =24<\/p>\n<p>Question 5.<br \/>\n1.54 \u00d7 12<br \/>\nAnswer:<br \/>\nUse rounding. Round 1.54 to the nearest whole number. Then multiply.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37120\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-8.png\" alt=\"\" width=\"108\" height=\"114\" \/><br \/>\n2\u00d712=24<br \/>\nSo, 1.54\u00d712 is about =24<\/p>\n<p>Question 6.<br \/>\n22 \u00d7 8.02<br \/>\nAnswer:<br \/>\nUse rounding. Round 8.02 to the nearest whole number. Then multiply.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37121\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-9.png\" alt=\"\" width=\"114\" height=\"114\" \/><br \/>\n22\u00d78=176<br \/>\nSo, 22 \u00d7 8.02 is about = 176<\/p>\n<p>Question 7.<br \/>\n147 \u00d7 11.6<br \/>\nAnswer:<br \/>\nUse compatible numbers<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37122\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-10.png\" alt=\"\" width=\"109\" height=\"104\" \/><br \/>\n145\u00d712=1740<br \/>\nSo, 147\u00d711.6 is about =1740<\/p>\n<p>Question 8.<br \/>\n217 \u00d7 13.42<br \/>\nAnswer:<br \/>\nUse compatible numbers<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37123\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-11.png\" alt=\"\" width=\"120\" height=\"129\" \/><br \/>\n200\u00d715=3000<br \/>\nSo, 217\u00d713,42 is about =3000<\/p>\n<p>Question 9.<br \/>\nThere are 1.36 liters of pineapple juice in 1 can. You buy a case of 8 cans. About how many liters of pineapple juice do you buy?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15755\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.2-7.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.2 7\" width=\"138\" height=\"158\" \/><br \/>\nAnswer:<br \/>\nThere are 1.36 liters of pineapple juice in 1 can, there are 8 cans in a case.<br \/>\nNumber of liters of pineapple juice in a case is about 1.36\u00d78<br \/>\nUse rounding. Round 1.36 to the nearest whole number. Then multiply.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37124\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-12.png\" alt=\"\" width=\"115\" height=\"128\" \/><br \/>\n1\u00d78=8 liters<br \/>\nAbout 8 liters of pineapple juice i shall buy.<\/p>\n<p>Question 10.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nWrite a decimal and a whole number that have an estimated product of 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15756\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.2-8.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.2 8\" width=\"174\" height=\"144\" \/><br \/>\nAnswer:<br \/>\nImagine the numbers as 1.9 and 8<br \/>\n1.9 \u00d7 8<br \/>\nUse rounding.Round 1.9 to the nearest whole number. Then multiply<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37125\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-13.png\" alt=\"\" width=\"118\" height=\"122\" \/><br \/>\n2&#215;8=16<br \/>\nSo, 1.9\u00d78 is about =16.<\/p>\n<p>Question 11.<br \/>\n<strong>Number Sense<\/strong><br \/>\nYou use 50 \u00d7 4 to estimate 45 \u00d7 3.56. Is your estimate an overestimate or an underestimate? Explain.<br \/>\nAnswer:<br \/>\nMy estimate is an overestimate.<\/p>\n<p>Explanation:<br \/>\n50\u00d74=200<br \/>\n45\u00d73.56=160.2<br \/>\nAs the product of 50 and 4 is more than the product of 45 and 3.56 so mu estimate is over estimate.<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nDescribe a situation in which an estimate of the product of a whole number and a decimal is suffcient.<br \/>\nAnswer:<br \/>\nA biscuit packet costs 4.83 rupees for a vendor and he sells 15 packets of biscuits he will earn an amount of 75 rupees(15 \u00d7 4.83=72.45).<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA space probe is 756,600 miles from Earth. The probe travels 9.7 miles farther from Earth each second. About how far is the space probe from Earth after 60 seconds?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15757\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.2-9.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.2 9\" width=\"257\" height=\"160\" \/><br \/>\nFind the distance the probe travels in 60 seconds by multiplying the distance the probe travels in 1 second by60. Round 9.7 to the nearest whole number because you do not need a precise answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15758\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.2-10.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.2 10\" width=\"147\" height=\"95\" \/><br \/>\nThe probe travels about ______ miles in 60 seconds.<br \/>\nAdd the distance the probe is from Earth to the distance it travels in 60 seconds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15759\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.2-11.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.2 11\" width=\"96\" height=\"82\" \/><br \/>\nThe probe is about ______ miles from Earth after 60 seconds.<\/p>\n<p>Answer:<br \/>\n10 \u00d7 60 = 600<br \/>\nThe probe travels about 600 miles in 60 seconds.<br \/>\nAdd the distance the probe is from Earth to the distance it travels in 60 seconds.<br \/>\n756,600 + 600 = 757200<br \/>\nThe probe is about 757200 miles from Earth after 60 seconds.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 13.<br \/>\nA bucket weighs 1.4 pounds. One gallon of sand weighs 13.4 pounds. About how much does the bucket and 4 gallons of sand weigh in all?<br \/>\nAnswer:<br \/>\nA bucket weighs 1.4 pounds, A gallon of sand weighs 13.4 pounds.<br \/>\nUse rounding. Round 1.4 and 13.4 to the nearest whole number<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37131\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-14-1.png\" alt=\"\" width=\"132\" height=\"124\" \/><br \/>\nWeight of 4 gallons = 4 \u00d7 weight of gallon= 4 \u00d7 13=52<br \/>\nThe bucket and 4 gallons of sand weight=1+52=53 pounds<\/p>\n<p>Question 14.<br \/>\nAn 8.2-centimeter-tall plant grows 2.9 centimeters each month for 1 year. About how tall is the plant at the end of 1 year?<br \/>\nAnswer:<br \/>\nLength of the plant now is 8.2 centimeters. If it grows about 2.9 centimeter for each month the length of the plant increased is product of 12months and the length of plant that grows each month.<br \/>\nRound of 8.2 and 2.9 to the nearest whole numbers<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37130\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-15-1.png\" alt=\"\" width=\"148\" height=\"101\" \/><br \/>\nThe length of the plant increased is product of 12months and the length of plant that grows each month<br \/>\n12\u00d73=36<br \/>\nTotal length<span style=\"font-size: 16px;\">= length of plant + increased length after a year<\/span>=8+36 =44 centimeters<br \/>\nAbout 44 centimeters tall is the plant at the end of 1 year.<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA motorcycle travels 52.3 miles using 1 gallon of gasoline. A car travels 29.8 miles using 1 gallon of gasoline. About how much farther does the motorcycle travel using 6 gallons of gasoline than the car?<br \/>\nAnswer:<br \/>\nA motorcycle travels 52.3 miles using 1 gallon of gasoline and a\u00a0car travels 29.8 miles using 1 gallon of gasoline<br \/>\nRound of 52.3 and 29.8 sto the nearest whole number.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37129\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-16-1.png\" alt=\"\" width=\"111\" height=\"106\" \/><br \/>\nFor 6 gallons of gasoline motorcycle travels\u00a0 \u00a0 30\u00d7 6=180 miles<br \/>\nFor 6 gallons of gasoline car travels\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a052\u00d7 6=312 miles<br \/>\n312\u2010180=132 miles<br \/>\nAbout 132 miles farther the motorcycle travel using 6 gallons of gasoline than the car.<\/p>\n<h3><a id=\"Estimate_Products_of_Decimals_and_Whole_Numbers_Homework_&amp;_Practice_5.2\"><\/a>Estimate Products of Decimals and Whole Numbers Homework &amp; Practice 5.2<\/h3>\n<p><strong>Estimate the product.<\/strong><br \/>\nQuestion 1.<br \/>\n0.8 \u00d7 36<br \/>\nAnswer:<br \/>\nUse rounding. Round of 0.8 to nearest whole number. And multiply<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37368\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-17-2.png\" alt=\"\" width=\"111\" height=\"111\" \/><br \/>\n1\u00d736=36<br \/>\nSo, 0.8\u00d736=36<\/p>\n<p>Question 2.<br \/>\n2.34 \u00d7 16<br \/>\nAnswer:<br \/>\nUse rounding. Round of 2.34 to the nearest whole number. And multiply<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37369\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-18.png\" alt=\"\" width=\"117\" height=\"115\" \/><br \/>\n2\u00d716=32<br \/>\nSo, 2.34\u00d716 is about =32<\/p>\n<p>Question 3.<br \/>\n9 \u00d7 1.67<br \/>\nAnswer:<br \/>\nUse rounding. Round of 1.67 to the nearest whole number. And multiply<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37376\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-20.png\" alt=\"\" width=\"122\" height=\"115\" \/><br \/>\n9\u00d72=18<br \/>\nSo, 9\u00d71.67 is about = 18<\/p>\n<p>Question 4.<br \/>\n105 \u00d7 4.6<br \/>\nAnswer:<br \/>\nUse rounding. Round of 4.6 to the nearest whole number. And multiply<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37371\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-21.png\" alt=\"\" width=\"110\" height=\"111\" \/><br \/>\n105\u00d75=525<br \/>\nSo, 105\u00d74.6 is about =525<\/p>\n<p>Question 5.<br \/>\n88 \u00d7 0.9<br \/>\nAnswer:<br \/>\nUse rounding. Round of 0.9 to the nearest whole number. And multiply<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37372\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-22.png\" alt=\"\" width=\"126\" height=\"133\" \/><br \/>\n88\u00d71=88<br \/>\nSo, 88\u00d70.9 is about =8<\/p>\n<p>Question 6.<br \/>\n5.5 \u00d7 131<br \/>\nAnswer:<br \/>\nUse rounding. Round of 5.5 to the nearest whole number. And multiply<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37373\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-23.png\" alt=\"\" width=\"120\" height=\"110\" \/><br \/>\n6\u00d7131=786<br \/>\nSo, 5.5\u00d7131 is about =786<\/p>\n<p>Question 7.<br \/>\nAn athlete runs 6.23 miles in 1 hour. At this pace, about how far does the athlete run in 4 hours?<br \/>\nAnswer:<br \/>\nAn athlete runs 6.23 miles in 1 hour.<br \/>\nUse rounding.<br \/>\nRound of 6.23 to the nearest whole number.<br \/>\n6.23&#8212;&#8212;6<br \/>\nNumber of miles athlete run in 4 hours<br \/>\n=4\u00d7 Number of miles athlete run in 1 hour<br \/>\n=4\u00d76=24<br \/>\nAbout 24 miles the athlete run in 4 hours.<\/p>\n<p>Question 8.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWhich expressions are underestimates of 26.5 \u00d7 91?<br \/>\n20 \u00d7 90<br \/>\n30 \u00d7 100<br \/>\n30 \u00d7 90<br \/>\n25 \u00d7 90<br \/>\nAnswer:<br \/>\n20\u00d790 and 25\u00d790 are the underestimates of 26.5\u00d791 as both the estimated numbers in these expressions are less than original numbers.<\/p>\n<p>Question 9.<br \/>\n<strong>Writing<\/strong><br \/>\nWhich strategy can you use to estimate the product of 8.02 and 106? Explain.<br \/>\nAnswer:<br \/>\nI use compatible numbers strategy because numbers are near to round figures.<\/p>\n<p>Question 10.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend finds the product. Is her answer reasonable? Estimate to check.?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15760\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.2-12.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.2 12\" width=\"168\" height=\"45\" \/><br \/>\nAnswer:<br \/>\n1.06 \u00d7 103 = 109.18<br \/>\nUse rounding.Round 1.06 to the nearest whole number. And multiply.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37374\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-24.png\" alt=\"\" width=\"114\" height=\"117\" \/><br \/>\n1\u00d7103 =103<br \/>\nSo, my friend&#8217;s answer is reasonable.<\/p>\n<p>Question 11.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nNewton pays for 5 pounds of pears that cost $3.75 per pound. Descartes pays$15 for 5 pounds of apples. About how much more do the 5 pounds of pears cost than the 5 pounds of apples?<br \/>\nAnswer:<br \/>\nCost of 5 pounds of pears 5\u00d7$3.75<br \/>\nRound 3.75 to the nearest whole number. And multiply<br \/>\n5\u00d7$4=$20<br \/>\nDescartes pays$15 for 5 pounds of apples<br \/>\nSubtract cost of apples from pears $20\u2010$15=$5<br \/>\nAbout $5 more the 5 pounds of pears cost than the 5 pounds of apples.<\/p>\n<p>Question 12.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA hospital employee works 3 days each week. The route from her house to the hospital is 9.9 miles and the route back to her house is 10.5 miles. About how many miles does she travel for work each week?<br \/>\nAnswer:<br \/>\nUse rounding.Round 9.9 and 10.5 to the nearest whole numbers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37375\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.2-25.png\" alt=\"\" width=\"122\" height=\"115\" \/><br \/>\nA hospital employee works 3 days each week.<br \/>\nSo, as the route from her house to the hospital is 9.9 miles per day for 3 days it is 10\u00d73= 30 miles<br \/>\nAs the route back to her house is 10.5 miles per day for 3 days it is 10\u00d73=30 miles<br \/>\nTotal number of miles =30+30=60<br \/>\nTherefore About 60 miles she travel for work each week.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 13.<br \/>\nWrite the number in two other forms.<br \/>\nStandard form:<br \/>\nWord form: four and twenty-six thousandths<br \/>\nExpanded form:<br \/>\nAnswer:<br \/>\n4.26000<\/p>\n<h2><strong><a id=\"Lesson_5.3_Use_Models_to_Multiply_Decimals_and_Whole_Numbers\"><\/a>Lesson 5.3 Use Models to Multiply Decimals and Whole Numbers<\/strong><\/h2>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Complete the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15761\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-1.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 1\" width=\"559\" height=\"287\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-1.png 559w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-1-300x154.png 300w\" sizes=\"(max-width: 559px) 100vw, 559px\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-36208\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.3-2-e1611852717173.png\" alt=\"\" width=\"549\" height=\"229\" \/><\/p>\n<p><strong>Structure<\/strong><br \/>\nHow does the relationship between addition and multiplication help you find each product?<br \/>\nAnswer:<br \/>\nAddition\u00a0is the process of combining a number of individual items together to form a new total.Multiplication, however, is the process of using repeated\u00a0addition and combining the total number of items that make up equal-sized groups.<\/p>\n<p><strong>Think and Grow: Use Models to Multiply Decimals and Whole Numbers<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 0.23 \u00d7 3.<br \/>\nUse a model. Shade 3 groups of 0.23.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15762\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-2.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 2\" width=\"659\" height=\"215\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-2.png 659w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-2-300x98.png 300w\" sizes=\"(max-width: 659px) 100vw, 659px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 0.48 \u00d7 4.<br \/>\nUse a model. Shade 4 groups of 0.48.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15763\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-3.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 3\" width=\"618\" height=\"146\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-3.png 618w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-3-300x71.png 300w\" sizes=\"(max-width: 618px) 100vw, 618px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 1.<br \/>\n0.19 \u00d7 3 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15764\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-4.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 4\" width=\"156\" height=\"150\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-30928 size-full\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-idea-math-answer-grade5-chapter5-L3-d1-e1611854548275.png\" alt=\"\" width=\"200\" height=\"162\" \/><br \/>\n0.19+0.19+0.19=0.57<br \/>\nSo, 0.19\u00d73=0.57<\/p>\n<p>Question 2.<br \/>\n0.37 \u00d7 5 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15765\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-5.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 5\" width=\"293\" height=\"149\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-30929\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-idea-math-answer-grade5-chapter5-L3-d2-e1610998644264.png\" alt=\"\" width=\"210\" height=\"106\" \/><br \/>\n0.37+0.37+0.37+0.37+0.37=1.85<br \/>\nS0, 0.37\u00d75=1.85<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 3.<br \/>\n0.09 \u00d7 5 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15766\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-6.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 6\" width=\"149\" height=\"147\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-30932\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-idea-math-answer-grade5-chapter5-L3-d3-e1610999447881.png\" alt=\"\" width=\"110\" height=\"116\" \/><br \/>\n0.09+0.09+0.09+0.09+0.09=0.45<br \/>\nSo, 0.09\u00d75=0.45<\/p>\n<p>Question 4.<br \/>\n8 \u00d7 0.2 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15767\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-7.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 7\" width=\"285\" height=\"152\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34412\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-13-e1611568324209.png\" alt=\"\" width=\"220\" height=\"110\" \/><br \/>\n0.2+0.2+0.2+0.2+0.2+0.2+0.2=1.6<br \/>\nSo, 8\u00d70.2=1.6<\/p>\n<p>Question 5.<br \/>\n7 \u00d7 0.14 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15768\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-8.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 8\" width=\"150\" height=\"149\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-36216 size-full\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.3-2-1-e1611853893489.png\" alt=\"\" width=\"220\" height=\"218\" \/><br \/>\n0.14+0.14+0.14+0.14+0.14+0.14+0.14=0.98<br \/>\nSo, 7\u00d70.14=0.98<\/p>\n<p>Question 6.<br \/>\n0.96 \u00d7 2 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15769\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-9.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 9\" width=\"299\" height=\"150\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34407\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-12-1-e1611567410184.png\" alt=\"\" width=\"220\" height=\"115\" \/><\/p>\n<p>0.96+0.96=1.92<br \/>\nSo, 0.96\u00d72=1.92<\/p>\n<p>Question 7.<br \/>\nA hummingbird\u2019s heart beats once every 0.05 second. How long does it take for its heart to beat 7 times?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15770\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-10.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 10\" width=\"119\" height=\"87\" \/><br \/>\nAnswer:<br \/>\nGiven,<br \/>\nA hummingbird\u2019s heart beats once every 0.05 second.<br \/>\n0.005 \u00d7 7 = 0.035 seconds<\/p>\n<p>Question 8.<br \/>\n<strong>Precision<\/strong><br \/>\nWhen multiplying a decimal less than one by a whole number, how does the product compare to the whole number? Is this true when multiplying two whole numbers?<br \/>\nAnswer:<br \/>\nWhen we multiply a decimal less than one by a whole number the product will be a decimal or a whole number but when we multiply two whole numbers the product will be only a whole number.<\/p>\n<p>Question 9.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWrite two multiplication equations involving a decimal and a whole number whose product is shown.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15771\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-11.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 11\" width=\"156\" height=\"157\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-11.png 156w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-11-150x150.png 150w\" sizes=\"(max-width: 156px) 100vw, 156px\" \/><br \/>\nAnswer:<br \/>\n0.2\u00d73=0.6 and 0.3\u00d72=0.6<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYou build the card tower shown. Each row is 0.08 meter tall. Your friend\u2019s card tower is 0.3 meter tall. Whose tower is taller?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15772\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-12.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 12\" width=\"146\" height=\"204\" \/><br \/>\nBecause your card tower has 4 rows, multiply 4 by0.08 to find the height of your tower.<br \/>\nUse a model. Shade 4 groups of 0.08.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15773\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-13.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 13\" width=\"142\" height=\"143\" \/><br \/>\n0.08 + 0.08 + 0.08 + 0.08 = ______<br \/>\nCompare the height of your tower to the height of your friend\u2019s tower.<br \/>\nSo, ______ tower is taller.<\/p>\n<p>Answer:<br \/>\n0.08 + 0.08 + 0.08 + 0.08 = 0.32<br \/>\nCompare the height of your tower to the height of your friend\u2019s tower.<br \/>\nSo, 0.32tower is taller.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 10.<br \/>\nYou have 1 meter of ribbon. Do you have enough ribbon to border the outside of the square picture frame?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15774\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-14.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 14\" width=\"158\" height=\"158\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-14.png 158w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-14-150x150.png 150w\" sizes=\"(max-width: 158px) 100vw, 158px\" \/><br \/>\nAnswer:<br \/>\nNo<\/p>\n<p>Explanation:<br \/>\nLength of side of the square picture is 0.33m.<br \/>\nBorder of the square picture is 4 \u00d7 length of side=4\u00d70.33m=1.32m<br \/>\nI have 1 meter of ribbon 1.32&gt;1<br \/>\nSo, i don&#8217;t have enough ribbon to border the square picture.<\/p>\n<p>Question 11.<br \/>\nOrganic shaved coconut originally costs $0.34 per ounce. A baker buys 8 ounces on sale for $0.27 per ounce.How much money does the baker save?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15775\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-15.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 15\" width=\"195\" height=\"141\" \/><br \/>\nAnswer:<br \/>\nMoney the baker save is 0$2.72\u2010$2.16=$0.56<\/p>\n<p>Explanation:<br \/>\nOriginal cost of organic shaved coconut is $0.34 per ounce<br \/>\nThen for 8 ounces it will be 8\u00d7$0.34=$2.72<br \/>\nCost of the baker is $0.27 per ounce<br \/>\nThen for 8 ounces it will be 8\u00d7$0.27=$2.16<br \/>\nMoney the baker save is 0$2.72\u2010$2.16=$0.56<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou have 4 pennies, 3 nickels, and 2 quarters. Find the total weight and the total value of your coins.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15776\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-16.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 16\" width=\"323\" height=\"101\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-16.png 323w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-16-300x94.png 300w\" sizes=\"(max-width: 323px) 100vw, 323px\" \/><br \/>\nAnswer:<br \/>\n4 \u00d7 2.5 = 10<br \/>\n3 \u00d7 5 = 15<br \/>\n2 \u00d7 5.67 = 11.34<br \/>\n10 + 15 + 11.34 = 36.34<\/p>\n<h3><a id=\"Use_Models_to_Multiply_Decimals_and_Whole_Numbers_Homework_&amp;_Practice_5.3\"><\/a>Use Models to Multiply Decimals and Whole Numbers Homework &amp; Practice 5.3<\/h3>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 1.<br \/>\n0.4 \u00d7 2 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15777\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-17.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 17\" width=\"144\" height=\"153\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-36213\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-20-1-e1611853719900.png\" alt=\"\" width=\"220\" height=\"124\" \/><br \/>\n0.4+0.4=0.8<br \/>\nSo, 0.4\u00d72=0.84<\/p>\n<p>Question 2.<br \/>\n6 \u00d7 0.31 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15778\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-18.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 18\" width=\"292\" height=\"149\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34430\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-14-e1611571261150.png\" alt=\"\" width=\"220\" height=\"113\" \/><br \/>\n0.31+0.31+0.31+0.31+0.31+0.31=1.86<br \/>\nSo, 6\u00d70.31=1.86<\/p>\n<p>Question 3.<br \/>\n0.54 \u00d7 3 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15779\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-19.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 19\" width=\"288\" height=\"150\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34459\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-17-1-e1611571779707.png\" alt=\"\" width=\"220\" height=\"126\" \/><br \/>\n0.54+0.54+0.54=1.62<br \/>\nSo, 0.54\u00d73=1.62<\/p>\n<p>Question 4.<br \/>\n0.25 \u00d7 7 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15780\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-20.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 20\" width=\"286\" height=\"158\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34461\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-18-e1611572079845.png\" alt=\"\" width=\"200\" height=\"110\" \/><br \/>\n0.25+0.25+0.25+0.25+0.25+0.25+0.25=1.75<br \/>\nSo, 0.25\u00d77=1.75<\/p>\n<p><strong>Find the product<\/strong><br \/>\nQuestion 5.<br \/>\n0.22 \u00d7 4 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15781\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-21.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 21\" width=\"146\" height=\"148\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34463\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-19-e1611572495880.png\" alt=\"\" width=\"200\" height=\"230\" \/><br \/>\n0.22+0.22+0.22+0.22=0.88<br \/>\nSo, 0.22\u00d74=0.88<\/p>\n<p>Question 6.<br \/>\n5 \u00d7 0.4 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15782\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-22.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 22\" width=\"298\" height=\"147\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34465\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-20-e1611572779684.png\" alt=\"\" width=\"220\" height=\"124\" \/><br \/>\n0.4+0.4+0.4+0.4+0.4=2<br \/>\nSo, 5\u00d70.4=2<\/p>\n<p>Question 7.<br \/>\nA city mayor plans to build two new parks. Each park will cover 1.45 acres. How many acres will the new parks cover altogether? Explain.<br \/>\nAnswer:<br \/>\n2.9 Acers<\/p>\n<p>Explanation:<br \/>\nAcres covered by one park is 1.45 acres, A city mayor plans to build two new parks.<br \/>\nAcres covered by two new parks is 2\u00d71.45=2.9acers.<\/p>\n<p>Question 8.<br \/>\n<strong>Structure<\/strong><br \/>\nWrite an equation represented by the model.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15783\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.3-23.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.3 23\" width=\"293\" height=\"143\" \/><br \/>\nAnswer:<br \/>\n0.35+0.35+0.35+0.35+0.35=1.75<br \/>\nSo, 0.35\u00d75=1.75<\/p>\n<p>Question 9.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nFind the product of 0.03 and 4. How does the product change when you replace 4 with 0.4? Explain.<br \/>\nAnswer:<br \/>\nThe product of 0.03 and 4 is 0.03\u00d74=0.12<br \/>\nThe product of 0.03 and 0.4 is 0.03\u00d70.4=0.012<br \/>\nWhen we replace the 4 with 0.4 then the product will become very small.<\/p>\n<p>Question 10.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nIn 1 year, you spend $1.50 on electricity to charge your tablet. In 1 month, you spend $0.02 on electricity to charge your smart phone. Which device costs more to charge in 1 year?<br \/>\nAnswer:<br \/>\nIn 1 year, i spend $1.50 on electricity to charge my tablet<br \/>\nIf In 1 month, i spend $0.02 on electricity to charge my smart phone in a year i spend = 12months \u00d7 electricity charge per month<br \/>\n=12\u00d70.02=$0.24<br \/>\n$0.24&lt;$1.50<br \/>\nTherefore Tablet costs more to charge in 1 year.<\/p>\n<p>Question 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou have a 2-pound carton of blueberries. You eat 0.2 of the carton on Monday and 0.35 of the carton on Tuesday. How many pounds of blueberries are left?<br \/>\nAnswer:<br \/>\nWeight of carton of blueberries is 2 pounds<br \/>\nI ate 0.2 of carton on Monday 0.2\u00d72=0.4 pounds<br \/>\nI ate 0.35 of carton on Tuesday 0.35\u00d72=0.7<br \/>\nTotal of berries i ate is 0.4+0.7=1.1<br \/>\npounds of blueberries are left=2\u20101.1=0.9<br \/>\nTherefore 0.9 pounds of blueberries are left in the carton.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Evaluate the expression.<\/strong><br \/>\nQuestion 12.<br \/>\n(12 \u00f7 4) \u00d7 30 &#8211; 15<br \/>\nAnswer:<br \/>\n(12 \u00f7 4) \u00d7 30 &#8211; 15=75<\/p>\n<p>Explanation:<br \/>\n(12 \u00f7 4) \u00d7 30 &#8211; 15<br \/>\n=(3)\u00d730\u201015<br \/>\n=90\u201015<br \/>\n=75<br \/>\nS0, (12 \u00f7 4) \u00d7 30 &#8211; 15=75<\/p>\n<p>Question 13.<br \/>\n(11 + 7) \u00f7 (3 + 5 + 1)<br \/>\nAnswer:<br \/>\n(11 + 7) \u00f7 (3 + 5 + 1)=2<\/p>\n<p>Explanation:<br \/>\n(11 + 7) \u00f7 (3 + 5 + 1)<br \/>\n=(18)\u00f7(9)<br \/>\n=2<br \/>\nSo, (11 + 7) \u00f7 (3 + 5 + 1)=2<\/p>\n<p>Question 14.<br \/>\n35 \u00f7 [(153 &#8211; 139) \u00f7 2]<br \/>\nAnswer:<br \/>\n35 \u00f7 [(153 &#8211; 139) \u00f7 2]=5<\/p>\n<p>Explanation:<br \/>\n35 \u00f7 [(153 &#8211; 139) \u00f7 2]<br \/>\n=35\u00f7[(14\u00f72)]<br \/>\n=35\u00f77<br \/>\n=5<br \/>\nSo, 35 \u00f7 [(153 &#8211; 139) \u00f7 2]=5<\/p>\n<h3><a id=\"Lesson_5.4_Multiply_Decimals_and_Whole_Numbers\"><\/a>Lesson 5.4 Multiply Decimals and Whole Numbers<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Complete the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15784\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.4 1\" width=\"458\" height=\"129\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-1.png 458w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-1-300x84.png 300w\" sizes=\"(max-width: 458px) 100vw, 458px\" \/><br \/>\nWhat pattern do you notice in the placement of the decimal point?<br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-30935\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-idea-math-answer-grade5-chapter5-L4-d1-1.png\" alt=\"\" width=\"468\" height=\"131\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-idea-math-answer-grade5-chapter5-L4-d1-1.png 468w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-idea-math-answer-grade5-chapter5-L4-d1-1-300x84.png 300w\" sizes=\"(max-width: 468px) 100vw, 468px\" \/><br \/>\nWe can notice that the decimal point moves one place to the left.<\/p>\n<p><strong>Structure<\/strong><br \/>\nHow is multiplying decimals similar to multiplying whole numbers?<br \/>\nAnswer:<br \/>\nDecimal multiplication is similar to the multiplication of whole numbers after decimal point the product of the numbers is the same.<\/p>\n<p><strong>Think and Grow: Multiply a Decimals and a Whole Numbers<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nFind 5.8 \u00d7 4. Estimate ________<br \/>\nOne Way: Multiply as you do with whole numbers. Then place the decimal point.<br \/>\nFind 58 \u00d7 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15785\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-2.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.4 2\" width=\"610\" height=\"304\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-2.png 610w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-2-300x150.png 300w\" sizes=\"(max-width: 610px) 100vw, 610px\" \/><\/p>\n<p>Another Way: Use place value and partial products.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15786\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-3.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.4 3\" width=\"618\" height=\"221\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-3.png 618w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-3-300x107.png 300w\" sizes=\"(max-width: 618px) 100vw, 618px\" \/><br \/>\nSo, 5.8 \u00d7 4 = ______.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 1.<br \/>\n2.4 \u00d7 7 = ______<br \/>\nAnswer:<br \/>\n2.4 \u00d7 7 =16.8<\/p>\n<p>Explanation:<br \/>\n2.4 \u00d7 7<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36223\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-1-2.png\" alt=\"\" width=\"157\" height=\"191\" \/><br \/>\nMultiply 24 with 7<br \/>\n24\u00d77=168<br \/>\nMultiply 168 with 0.1<br \/>\n168\u00d70.1=16.8 decimal point moves one place to the left.<br \/>\nSo, 2.4 \u00d7 7 =16.8<\/p>\n<p>Question 2.<br \/>\n8.15 \u00d7 3 = ______<br \/>\nAnswer:<br \/>\n8.15 \u00d7 3 =24.45<\/p>\n<p>Explanation:<br \/>\n8.15 \u00d7 3<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37068\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-1-3.png\" alt=\"\" width=\"180\" height=\"179\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-1-3.png 180w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-1-3-150x150.png 150w\" sizes=\"(max-width: 180px) 100vw, 180px\" \/><br \/>\nMultiply 8.15 with 3<br \/>\n815\u00d74=2445<br \/>\nMultiply 2445 with 0.01<br \/>\n2445\u00d70.01=24.45 decimal point moves two places to the left.<br \/>\nSo, 8.15 \u00d7 3 =24.45<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 3.<br \/>\n6 \u00d7 5.3 = _____<br \/>\nAnswer:<br \/>\n6&#215;5.3=31.8<\/p>\n<p>Explanation:<br \/>\n6\u00d75.3=<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37077\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-2-5-e1611987815445.png\" alt=\"\" width=\"110\" height=\"191\" \/><br \/>\n6\u00d753=318<br \/>\n318 \u00d70.1=31.8decimal point moves one place to the left.<br \/>\nSo,6 \u00d75.3=31.8<\/p>\n<p>Question 4.<br \/>\n4.68 \u00d7 4 = ______<br \/>\nAnswer:<br \/>\n4.68&#215;4=18.72<\/p>\n<p>Explanation:<br \/>\n4.68\u00d74<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37078\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-3.png\" alt=\"\" width=\"110\" height=\"124\" \/><br \/>\n468\u00d74=1872<br \/>\n1872\u00d70.01=18.72decimal point moves two places to the left.<br \/>\nSo, 4.68 \u00d7 4 =18.72<\/p>\n<p>Question 5.<br \/>\n7 \u00d7 0.81 = ______<br \/>\nAnswer:<br \/>\n7&#215;0.81=5.56<\/p>\n<p>Explanation:<br \/>\n7\u00d70.81<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37082\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-4-2.png\" alt=\"\" width=\"110\" height=\"149\" \/><br \/>\n7\u00d781=567<br \/>\n567\u00d70.01=5.67decimal point moves two places to the left.<br \/>\nSo, 7 \u00d7 0.81 =5.67<\/p>\n<p>Question 6.<br \/>\n1.45 \u00d7 5 = _____<br \/>\nAnswer:<br \/>\n1.45 \u00d7 5=7.25<\/p>\n<p>Explanation:<br \/>\n1.45 \u00d7 5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37083\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-5.png\" alt=\"\" width=\"110\" height=\"138\" \/><br \/>\n145\u00d75=725<br \/>\n725\u00d70.01=7.25decimal point moves two places to the left.<br \/>\nSo, 1.45 \u00d7 5 =7.25<\/p>\n<p>Question 7.<br \/>\n34 \u00d7 7.2 = _____<br \/>\nAnswer:<br \/>\n34 \u00d7 7.2=244.8<\/p>\n<p>Explanation:<br \/>\n34 \u00d7 7.2<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37084\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-6.png\" alt=\"\" width=\"110\" height=\"151\" \/><br \/>\n34\u00d772=2448<br \/>\n2448\u00d70.1=244.8decimal point moves one place to the left.<br \/>\nSo, 34 \u00d7 7.2=244.8<\/p>\n<p>Question 8.<br \/>\n23.66 \u00d7 19 = ______<br \/>\nAnswer:<br \/>\n23.66 \u00d7 19=499.54<\/p>\n<p>Explanation:<br \/>\n23.66 \u00d7 19<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37085\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-7.png\" alt=\"\" width=\"110\" height=\"127\" \/><br \/>\n2366\u00d719=44954<br \/>\n44954\u00d70.01=449.54decimal point moves two places to the left.<br \/>\nSo, 23.66 \u00d7 19 =449.54<\/p>\n<p>Question 9.<br \/>\nHow much do you pay for 3 pounds of grapes?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15787\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-4.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.4 4\" width=\"202\" height=\"94\" \/><br \/>\nAnswer:<br \/>\nOne pound of grapes costs $1.98<br \/>\n3 pounds of grapes cost is 3\u00d7$1.98<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37086\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-8.png\" alt=\"\" width=\"110\" height=\"156\" \/><br \/>\n=3\u00d7198=598<br \/>\n598\u00d70.01=5.98decimal point moves two places to the left.<br \/>\nTherefore cost of 3 pounds of grapes is 5.98<\/p>\n<p>Question 10.<br \/>\n<strong>Which One Doesn\u2019t Belong?<\/strong><br \/>\nWhich equation is not true?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15788\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-5.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.4 5\" width=\"300\" height=\"92\" \/><br \/>\nAnswer:<br \/>\n0.4\u00d715=60 is not correct<\/p>\n<p>Explanation:<br \/>\n0.4\u00d715<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37087\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-9.png\" alt=\"\" width=\"105\" height=\"241\" \/><br \/>\n4\u00d715=60<br \/>\n60\u00d70.1=6decimal point moves one place to the left.<br \/>\n0.4\u00d715=6<br \/>\nTherefore it is a wrong equation.<\/p>\n<p>Question 11.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWithout calculating, determine whether the product of 0.67 and 8 is greater than or less than 8. Explain.<br \/>\nAnswer:<br \/>\nThe product of 0.67 and 8 is less than 8.<\/p>\n<p>Explanation:<br \/>\nWe know that 0.67 is less than 1 so 0.67 when multiplied with 8 will be less than 8.<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nFind the missing digits. Then find the product.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15789\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-6.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.4 6\" width=\"131\" height=\"150\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-30936\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-idea-math-answer-grade5-chapter5-L4-d2.png\" alt=\"\" width=\"138\" height=\"154\" \/><\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYou buy a 40-pack of bottled water. Each bottle contains 16.9 fluid ounces of water. You drink 10 bottles. How many total \ufb02uid ounces of water do you have left?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15790\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-7.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.4 7\" width=\"147\" height=\"203\" \/><br \/>\nSubtract 10 from the number of bottles you buy to find the number of bottles you have left.<br \/>\n40 &#8211; 10 = 30<br \/>\nTo find how much water you have left, multiply the number of bottles you have left by16.9. Multiply as you do with whole numbers. Then place the decimal point.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15791\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-8.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.4 8\" width=\"504\" height=\"120\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-8.png 504w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-8-300x71.png 300w\" sizes=\"(max-width: 504px) 100vw, 504px\" \/><br \/>\nYou have _______ total fluid ounces of water left.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 13.<br \/>\nThe stories of a residential building are 3.2 meters tall. The stories of an office building are 0.4 meter taller than the stories in the residential building. The office building has 12 stories. How tall is the office building?<br \/>\nAnswer:<br \/>\nThe stories of a residential building are 3.2 meters tall.The stories of an office building are 0.4 meter taller than the stories in the residential building<br \/>\nSo stories of office building is 3.2+0.4=3.6 meter tall<br \/>\nOffice building has 12 stories and each storey is 3.6 meters tall<br \/>\nSo, 12\u00d73.6=<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37089\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-10.png\" alt=\"\" width=\"110\" height=\"179\" \/><br \/>\n12\u00d736=432<br \/>\n432\u00d70.1=43.2decimal point moves one place to the left.<br \/>\nTherefore the office building is 43.2 meters tall.<\/p>\n<p>Question 14.<br \/>\nYou have3 strands of lights that are each 10.8 feet long. You buy 5 strands of lights that are each 16.25 feet long. How many feet of lights do you have in all?<br \/>\nAnswer:<br \/>\nIf i have3 strands of lights that are each 10.8 feet long<br \/>\nThe length of 3 strands is 3\u00d710.8<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37090\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-11.png\" alt=\"\" width=\"110\" height=\"203\" \/><br \/>\n3\u00d710.8=324\u00d70.1 = 32.4 feet decimal point moves one place to the left.<br \/>\nIf i buy 5 strands of lights that are each 16.25 feet long<br \/>\nThe length of 5 strands is 5\u00d716.25<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37091\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-12.png\" alt=\"\" width=\"110\" height=\"210\" \/><br \/>\n5\u00d71625=8125<br \/>\n1825\u00d70.01=81.25decimal point moves two places to the left.<br \/>\nFeet of lights i have in all is32.4+81.25=133.65 feet.<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou stack $1 in dimes and you stack $1 in quarters. Which stack is taller? How much taller?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15792\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-9.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.4 9\" width=\"260\" height=\"151\" \/><br \/>\nAnswer:<br \/>\n1.35 \u00d7 1 = 1.35<br \/>\n1.75 \u00d7 1 = 1.75<\/p>\n<h3><a id=\"Multiply_Decimals_and_Whole_Numbers_Homework_&amp;_Practice_5.4\"><\/a>Multiply Decimals and Whole Numbers Homework &amp; Practice 5.4<\/h3>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 1.<br \/>\n9.8 \u00d7 2 = _____<br \/>\nAnswer:<br \/>\n9.8\u00d72=19.6<\/p>\n<p>Explanation:<br \/>\n9.8\u00d72<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37094\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-13.png\" alt=\"\" width=\"110\" height=\"156\" \/><br \/>\n98\u00d72=196<br \/>\n196\u00d70.1=19.6 decimal point moves one place to the left.<br \/>\nSo, 9.8\u00d72=19.6<\/p>\n<p>Question 2.<br \/>\n0.61 \u00d7 8 = ______<br \/>\nAnswer:<br \/>\n0.61 \u00d7 8 =4.88<\/p>\n<p>Explanation:<br \/>\n0.61\u00d78<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37095\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-14.png\" alt=\"\" width=\"110\" height=\"157\" \/><br \/>\n61\u00d78=488<br \/>\n488\u00d70.01=4.88decimal point moves two places to the left.<br \/>\nSo, 0.61 \u00d7 8 =4.88<\/p>\n<p>Question 3.<br \/>\n82 \u00d7 1.1 = ______<br \/>\nAnswer:<br \/>\n82\u00d71.1=90.2<\/p>\n<p>Explanation:<br \/>\n82\u00d71.1<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37096\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-15.png\" alt=\"\" width=\"110\" height=\"197\" \/><br \/>\n82\u00d711=902<br \/>\n902\u00d70.1=90.2decimal point moves one place to the left.<br \/>\nSo, 82\u00d71.1=90.2<\/p>\n<p>Question 4.<br \/>\n43 \u00d7 0.6 = ______<br \/>\nAnswer:<br \/>\n43\u00d70.6=25.8<\/p>\n<p>Explanation:<br \/>\n43\u00d70.6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37097\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-16.png\" alt=\"\" width=\"110\" height=\"149\" \/><br \/>\n43\u00d76=258<br \/>\n258\u00d70.1=25.8decimal point moves one place to the left.<br \/>\nSo, 43\u00d70.6=25.8<\/p>\n<p>Question 5.<br \/>\n2.39 \u00d7 57 = _______<br \/>\nAnswer:<br \/>\n2.39\u00d757=136.23<\/p>\n<p>Explanation:<br \/>\n2.39\u00d757<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37098\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-17.png\" alt=\"\" width=\"110\" height=\"128\" \/><br \/>\n239\u00d757=13623<br \/>\n13623\u00d70.01=136.23decimal point moves two places to the left.<br \/>\nSo, 2.39\u00d757=136.23<\/p>\n<p>Question 6.<br \/>\n10.75 \u00d7 24 = ______<br \/>\nAnswer:<br \/>\n10.75\u00d724=258<\/p>\n<p>Explanation:<br \/>\n10.75\u00d724<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37099\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-18.png\" alt=\"\" width=\"110\" height=\"124\" \/><br \/>\n1075\u00d724=25800<br \/>\n25800\u00d70.01=258.00=258decimal point moves two places to the left.<br \/>\nSo, 10.75\u00d724=258<\/p>\n<p>Question 7.<br \/>\nThere are 6.3 grams of protein in a boiled egg. You eat 3 boiled eggs. How many grams of protein do you consume?<br \/>\nAnswer:<br \/>\nThere are 6.3 grams of protein in a boiled egg<br \/>\nI eat 3 boiled eggs and grams of protein i consumed=3\u00d76.3<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37100\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-19.png\" alt=\"\" width=\"110\" height=\"138\" \/><br \/>\n3\u00d763=189<br \/>\n189\u00d70.1=18.9decimal point moves one place to the left.<br \/>\nTherefore 18.9 grams of protein i consumed.<\/p>\n<p>Question 8.<br \/>\n<strong>Reasoning<\/strong><br \/>\nNewton says the product of 7.55 and 8 is 60.40. Descartes says the product is 60.4.Who is correct? Explain.<br \/>\nAnswer:<br \/>\nBoth Newton&#8217;s and Descartes answers are correct as zero at the end of a number after decimal point does not change the value of the number 60.40 and 60.4 is same.<\/p>\n<p>Question 9.<br \/>\n<strong>Patterns<\/strong><br \/>\nDescribe and complete the pattern.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15793\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-10.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.4 10\" width=\"201\" height=\"130\" \/><br \/>\nAnswer<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-30938\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-idea-math-answer-grade5-chapter5-L4-d3.png\" alt=\"\" width=\"201\" height=\"154\" \/><br \/>\nIn the above table the decimal point is shifting one place to the left in each expression respectively.<\/p>\n<p>Question 10.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend finds 14 \u00d7 0.82. Is your friend correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15794\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-11.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.4 11\" width=\"109\" height=\"131\" \/><br \/>\nAnswer:<br \/>\nMy friend is incorrect.<\/p>\n<p>Explanation:<br \/>\n14\u00d70.82<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37103\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-22.png\" alt=\"\" width=\"110\" height=\"152\" \/><br \/>\n14\u00d782=1148<br \/>\n1148\u00d70.01=11.48decimal point moves two places to the left.<br \/>\n14\u00d70.82=11.48.<br \/>\nso, my friends answer is correct.<\/p>\n<p>Question 11.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA person weighs 2.34 times as much on Jupiter as on Earth. An 85-pound student would weigh 90.1 pounds less on Saturn than on Jupiter. How much would he weigh on Saturn?<br \/>\nAnswer:<br \/>\n85 pounds student weighs 2.34 times as much on Jupiter as on Earth.So, weight on jupiter is 85\u00d72.34<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37101\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-20.png\" alt=\"\" width=\"110\" height=\"122\" \/><br \/>\n85\u00d7234=19890<br \/>\n19890\u00d70.01=198.90decimal point moves two places to the left.<br \/>\nWeight on jupiter is 198.9<br \/>\nstudent would weigh 90.1 pounds less on Saturn than on Jupiter<br \/>\nSo, weight on saturn = weight on Jupiter \u2010 90.1=198.9\u201090.1=108.8<br \/>\nTherefore An 85-pound student would weigh 108.8 on saturn.<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA landscaper digs a rectangular region for a garden. The length is a one-digit whole number of meters. What is the least possible area? What is the greatest possible area?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15795\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.4-12.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.4 12\" width=\"224\" height=\"105\" \/><br \/>\nAnswer:<br \/>\nIf length of rectangular region is a one-digit whole number of meters and breadth is 4.75 meters.<br \/>\nSmallest 1 digit whole number is 1<br \/>\nThe least possible area is 1\u00d74.75 =4.75 squaremeters<br \/>\nLargest 1 digit whole number is 9<br \/>\nThe greatest possible area is 9\u00d74.75<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37102\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.4-21.png\" alt=\"\" width=\"110\" height=\"128\" \/><br \/>\n9\u00d7475=4275<br \/>\n4275\u00d70.01=42.75 square meters decimal point moves two places to the left.<br \/>\nTherefore The least possible area and the greatest possible area is 4.75 and 42.75 square meters respectively.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the sum or difference.<\/strong><br \/>\nQuestion 13.<br \/>\n0.83 &#8211; 0.14 = ______<br \/>\nAnswer:<br \/>\n0.83 &#8211; 0.14=0.96<\/p>\n<p>Explanation:<br \/>\n0.83\u20100.14=<br \/>\n83\u201014=69<br \/>\n69\u00d70.01=0.69decimal point moves two places to the left.<br \/>\nSo, 0.83 &#8211; 0.14=0.96<\/p>\n<p>Question 14.<br \/>\n1.34 + 1.35 = _______<br \/>\nAnswer:<br \/>\n<span style=\"font-size: 16px;\">1.34 + 1.35 =2.69<\/span><\/p>\n<p>Explanation:<br \/>\n1.34 + 1.35<br \/>\n134+135=269<br \/>\n269\u00d70.01=2.69decimal point moves two places to the left.<br \/>\n<span style=\"font-size: 16px;\">So, 1.34 + 1.35 =2.69<\/span><\/p>\n<h3><a id=\"Lesson_5.5_Use_Models_to_Multiply_Decimals\"><\/a>Lesson 5.5 Use Models to Multiply Decimals<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>A rectangle is 0.8 meter long and 0.7 meter wide.<br \/>\nUse a model to find the area of the rectangle.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15796\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-1.1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 1.1\" width=\"183\" height=\"172\" \/><\/p>\n<p>Answer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34495\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-26-e1611577860555.png\" alt=\"\" width=\"210\" height=\"215\" \/><\/p>\n<p>Use a model to find 0.8 \u00d7 0.7<br \/>\nUse a model. Shade 8 rows to represent 0.8 and shade 7 columns to represent 0.7<br \/>\n56 squares are shaded twice<br \/>\nSo, 0.8 \u00d7 0.7=0.56<\/p>\n<p>Use a model to find 0.8 \u00d7 1.7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15797\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 1\" width=\"330\" height=\"172\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-1.png 330w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-1-300x156.png 300w\" sizes=\"(max-width: 330px) 100vw, 330px\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34497\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-27-e1611578032743.png\" alt=\"\" width=\"190\" height=\"122\" \/><\/p>\n<p>Use a model to find 0.8 \u00d7 1.7<br \/>\nUse a model. Shade 8 rows to represent 0.8 and shade 17 columns to represent 1.7<br \/>\n136 squares are shaded twice<br \/>\nSo, 0.8 \u00d7 1.7 =1.36<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nWhen using a model to multiply decimals, how do you determine the number of rows and columns to shade?<br \/>\nAnswer:<br \/>\nFor a given multiplication of decimals. The multiplyer is used to determine the number of rows and the multiplicand is used to determine the number of columns.<\/p>\n<p><strong>Think and Grow: Use Models to Multiply Decimals<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nUse a model to find 0.4 \u00d7 0.6<br \/>\nUse a model. Shade 4 rows to represent 0.4 and shade 6 columns to represent 0.6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15798\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-2.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 2\" width=\"631\" height=\"231\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-2.png 631w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-2-300x110.png 300w\" sizes=\"(max-width: 631px) 100vw, 631px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nUse a model to find 0.7 \u00d7 1.4.<br \/>\nUse a model. Shade 7 rows to represent 0.7 and shade 14 columns to represent 1.4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15799\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-3.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 3\" width=\"286\" height=\"146\" \/><br \/>\n_____ squares are shaded twice.<br \/>\nSo, 0.7 \u00d7 1.4 = ______.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Use the model to find the product.<\/strong><br \/>\nQuestion 1.<br \/>\n0.9 \u00d7 0.2 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15800\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-4.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 4\" width=\"151\" height=\"141\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34498\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-28-e1611578149347.png\" alt=\"\" width=\"220\" height=\"236\" \/><br \/>\nUse a model to find 0.9 \u00d7 0.2<br \/>\nUse a model. Shade 9 rows to represent 0.9 and shade 2 columns to represent 0.2<br \/>\n18 squares are shaded twice<br \/>\nSo, 0.9 \u00d7 0.2 =0.18<\/p>\n<p>Question 2.<br \/>\n0.8 \u00d7 1.5 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15801\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-5.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 5\" width=\"280\" height=\"147\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34499\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-29-e1611578296229.png\" alt=\"\" width=\"220\" height=\"134\" \/><br \/>\nUse a model to find 0.8 \u00d7 1.5<br \/>\nUse a model. Shade 8 rows to represent 0.8 and shade 15 columns to represent 1.5<br \/>\n120 squares are shaded twice<br \/>\nSo, 0.8 \u00d7 1.5 =1.2<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Use the model to find the product.<\/strong><br \/>\nQuestion 3.<br \/>\n0.4 \u00d7 0.4 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15802\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-6.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 6\" width=\"145\" height=\"145\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34502\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-30-e1611578456795.png\" alt=\"\" width=\"220\" height=\"232\" \/><\/p>\n<p>Use a model to find 0.4 \u00d7 0.4<br \/>\nUse a model. Shade 4 rows to represent 0.4 and shade 4 columns to represent 0.4<br \/>\n16 squares are shaded twice<br \/>\nSo, 0.4 \u00d7 0.4 =0.16<\/p>\n<p>Question 4.<br \/>\n0.9 \u00d7 0.9 = _______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15803\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-7.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 7\" width=\"135\" height=\"141\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34503\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-31-e1611578621415.png\" alt=\"\" width=\"220\" height=\"230\" \/><br \/>\nUse a model to find 0.9 \u00d7 0.9<br \/>\nUse a model. Shade 9 rows to represent 0.9 and shade 9 columns to represent 0.9<br \/>\n81 squares are shaded twice<br \/>\nSo, 0.9 \u00d7 0.9 =0.81<\/p>\n<p>Question 5.<br \/>\n0.2 \u00d7 1.7 = ____<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15804\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-8.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 8\" width=\"276\" height=\"144\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34516\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-32-3-e1611582507671.png\" alt=\"\" width=\"200\" height=\"127\" \/><\/p>\n<p>Use a model to find 0.2 \u00d7 1.7<br \/>\nUse a model. Shade 2 rows to represent 0.2 and shade 17 columns to represent 1.7<br \/>\n34 squares are shaded twice<br \/>\nSo, 0.2 \u00d7 1.7 =0.34<\/p>\n<p>Question 6.<br \/>\n0.6 \u00d7 1.6 = _______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15805\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-9.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 9\" width=\"272\" height=\"141\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34517\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-33-1.png\" alt=\"\" width=\"220\" height=\"123\" \/><\/p>\n<p>Use a model to find 0.6 \u00d7 1.6<br \/>\nUse a model. Shade 6 rows to represent 0.6 and shade 16 columns to represent 1.6<br \/>\n96 squares are shaded twice<br \/>\nSo, 0.6\u00d7 1.6 =0.96<\/p>\n<p>Question 7.<br \/>\nOn Saturday, you ride your bike 1.5 miles. On Sunday, you ride your bike 0.7 times as far as you did on Saturday. How far do you ride your bike on Sunday?<br \/>\nAnswer:<br \/>\nOn saturday i rode my bike for 1.5 miles<br \/>\nOn sunday i rode 0.7 times as far as i did on saturday<br \/>\nmiles i rode bike on sunday =0.7&#215;1.5=1.05<br \/>\nTherefore, 1.05miles far i rode my bike on sunday.<\/p>\n<p>Question 8.<br \/>\n<strong>Reasoning<\/strong><br \/>\nWhen multiplying 0.4 \u00d7 0.3, why is the product less than each of the factors?<br \/>\nAnswer:<br \/>\nWhen we multiply 0.4 with 0.3 the product is less than each of their factors this is because we are finding a fractional amount of a quantity.<\/p>\n<p>Question 9.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nShade the model to represent the product of 0.6 and 0. What is the product? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15807\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-11.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 11\" width=\"146\" height=\"147\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34518\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-34.png\" alt=\"\" width=\"200\" height=\"218\" \/><br \/>\nUse a model to find 0.6 \u00d7 0<br \/>\nUse a model. Shade 6 rows to represent 0.6 and shade 0 columns to represent 0<br \/>\nNo squares are shaded twice<br \/>\nSo, 0.6\u00d7 0=0<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA donkey is 0.9 meter tall. A horse is 1.7 times as tall as the donkey. How much taller is the horse than the donkey?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15808\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-12.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 12\" width=\"144\" height=\"199\" \/><br \/>\nMultiply 0.9 by 1.7 to find the height of the horse.<br \/>\nUse a model. Shade 9 rows to represent 0.9 and shade 17 columns to represent 1.7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15809\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-13.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 13\" width=\"593\" height=\"235\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-13.png 593w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-13-300x119.png 300w\" sizes=\"(max-width: 593px) 100vw, 593px\" \/><br \/>\nSo, the horse is ______ meter taller than the donkey.<\/p>\n<p>Answer:<br \/>\n0.9 \u00d7 1.7 = 1.53<br \/>\n1.53 squares are shaded twice.<br \/>\n1.53 &#8211; 0.9 = 0.63<br \/>\nSo, the horse is 0.63 meter taller than the donkey.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 10.<br \/>\nOn Sunday, you run 0.6 mile. On Monday, you run 1.3 times as far as you run on Sunday. How many more miles do you run on Monday than on Sunday?<br \/>\nAnswer:<br \/>\nMultiply 0.6 by 1.3 to find the number of miles i run on monday.<br \/>\nusinga model. Shade 6 rows to represent 0.6 and shade 13 columns to represent 1.3.<br \/>\n78 squares are shaded twice.<br \/>\nSo, i ran 0.78 miles on monday.<br \/>\nSubtract the number of miles i ran on monday from the miles i ran on sunday.<br \/>\n0.78\u20100.6=0.72<br \/>\nTherefore 0.72miles i ran on Monday than on Sunday<\/p>\n<p>Question 11.<br \/>\nA candle burns 0.2 ounce of wax each hour. A candle with 14.5 ounces of wax burns for 2.5 hours. How much wax is left?<br \/>\nAnswer:<br \/>\nA candle with 14.5 ounces of wax burns for 2.5 hours and a candle burns 0.2 ounce of wax each hour.<br \/>\nOunces of wax burnt in 2.5 hours is<br \/>\n2.5 hours \u00d7 ounces of wax burns in each hour.<br \/>\n2.5\u00d70.2=0.5 ounces<br \/>\nOunced of Wax left=14.5\u20100.5=14 ounces.<\/p>\n<p>Question 12.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou have a bottle that contains 1.5 liters of apple juice. You drink 0.2 of the bottle on Friday, and 0.3 of the juice remaining in the bottle on Saturday. How much apple juice do you have left?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15810\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-14.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 14\" width=\"126\" height=\"146\" \/><br \/>\nAnswer:<br \/>\nA bottle contains 1.5 liters of apple juice.<br \/>\nIf i\u00a0 drink 0.2 of the bottle on Friday the amount of juice left is 1.5\u2010(1.5\u00d70.2)=1.5 \u2010 0.3= 1.2<br \/>\nIf i drink 0.3 of the juice remaining in the bottle on Saturday the amount of juice left is<br \/>\n=1.2\u2010(1.2\u00d70.3)=1.2 \u2010 0.36= 0.84<br \/>\nApple juice i have left id 0.84 liters.<\/p>\n<h3><a id=\"Use_Models_to_Multiply_Decimals_Homework_&amp;_Practice_5.5\"><\/a>Use Models to Multiply Decimals Homework &amp; Practice 5.5<\/h3>\n<p><strong>Use the model to find the product.<\/strong><br \/>\nQuestion 1.<br \/>\n0.8 \u00d7 0.9 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15811\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-15.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 15\" width=\"153\" height=\"148\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34519\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-35.png\" alt=\"\" width=\"190\" height=\"207\" \/><br \/>\nUse a model to find 0.8 \u00d7 0.9<br \/>\nUse a model. Shade 8 rows to represent 0.8 and shade 9 columns to represent 0.9<br \/>\n72 squares are shaded twice<br \/>\nSo, 0.8 \u00d7 0.9 =0.72<\/p>\n<p>Question 2.<br \/>\n0.4 \u00d7 0.2 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15812\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-16.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 16\" width=\"159\" height=\"154\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34520\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-36.png\" alt=\"\" width=\"190\" height=\"207\" \/><br \/>\nUse a model to find 0.4 \u00d7 0.2<br \/>\nUse a model. Shade 4 rows to represent 0.4 and shade 2 columns to represent 0.2<br \/>\n8 squares are shaded twice<br \/>\nSo, 0.4 \u00d7 0.2 =0.08<\/p>\n<p>Question 3.<br \/>\n0.6 \u00d7 1.9 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15813\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-17.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 17\" width=\"279\" height=\"148\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34521\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-37.png\" alt=\"\" width=\"200\" height=\"125\" \/><br \/>\nUse a model to find 0.6 \u00d7 1.9<br \/>\nUse a model. Shade 6 rows to represent 0.6 and shade 19 columns to represent 1.9<br \/>\n114 squares are shaded twice<br \/>\nSo, 0.6 \u00d7 1.9 =1.14<\/p>\n<p>Question 4.<br \/>\n0.7 \u00d7 1.2 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15814\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-18.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 18\" width=\"278\" height=\"146\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34522\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-38.png\" alt=\"\" width=\"200\" height=\"124\" \/><br \/>\nUse a model to find 0.7 \u00d7 1.2<br \/>\nUse a model. Shade 7 rows to represent 0.7 and shade 12 columns to represent 1.2<br \/>\n84 squares are shaded twice<br \/>\nSo, 0.7 \u00d7 1.2 =0.84<\/p>\n<p>Question 5.<br \/>\nOne banana contains 1.3 grams of protein. How much protein is in 0.5 of a banana?<br \/>\nAnswer:<br \/>\nOne banana contains 1.3 grams of protein<br \/>\n0.5 of a banana contains 1.3\u00d70.5=0.65 grans of proteins.<\/p>\n<p>Question 6.<br \/>\n<strong>Reasoning<\/strong><br \/>\nWhen multiplying 0.6 and 1.2, why is the product less than only one of the factors?<br \/>\nAnswer:<br \/>\nWhen multiplying 0.6 and 1.2, the product less than only one of the factors because we are finding a fractional amount of a quantity a part of the number.<\/p>\n<p>Question 7.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nNewton says that 0.2 \u00d7 0.2 = 0.36, because there are 36 squares shaded. Is he correct? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15815\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-19.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 19\" width=\"150\" height=\"146\" \/><br \/>\nAnswer:<br \/>\nNo<\/p>\n<p>Explanation:<br \/>\nNo, Newton&#8217;s answer is not correct as the number of squares shaded twice are 4 so, the product will be 0.4 not 0.36.<\/p>\n<p>Question 8.<br \/>\n<strong>Structure<\/strong><br \/>\nWrite a multiplication equation that is represented by the model.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15816\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-20.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 20\" width=\"156\" height=\"146\" \/><br \/>\nAnswer:<br \/>\nNumber of rows shaded are 6 so, the decimal is 0.6<br \/>\nNumber of columns shaded are 7 so, the decimal is 0.7<br \/>\nNumber of squares shaded twice are 42 so, the product is 0.42<br \/>\nTherefore multiplication equation is 0.6\u00d70.7=0.42.<\/p>\n<p>Question 9.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA pancake batter recipe calls for 0.5 cup of water. The recipe calls for 1.5 times as much pancake mix as water.How much more pancake mix is needed than water?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15817\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-21.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 21\" width=\"115\" height=\"154\" \/><br \/>\nAnswer:<br \/>\nA pancake batter recipe calls for 0.5 cup of water.<br \/>\nThe recipe calls for 1.5 times as much pancake mix as water<br \/>\nAmount of pancake mix is 0.5\u00d71.5=0.75 cups<br \/>\nSubtract the amount of pancake mix from the amount of water<br \/>\n0.75\u20100.5=0.70 cups<br \/>\nTherefore 0.70 cups more pancake mix is needed than water.<\/p>\n<p>Question 10.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nTo make crafts, you buy colored paper for $1.90. You buy a pack of googly eyes that costs 0.4 times as much as the colored paper. How much money do you spend in all?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15818\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.5-22.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.5 22\" width=\"218\" height=\"174\" \/><br \/>\nAnswer:<br \/>\nCost of colored paper is $1.90<br \/>\nCost of a pack of googly eyes is 0.4 times as much as the colored paper=0.4\u00d71.90=$0.76<br \/>\nAdd the money spent on colored paper and on googly eyes=$1.90+$0.76=$2.66<br \/>\nThe money i spent in all is $2.66.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Write the value of the underlined digit.<\/strong><br \/>\nQuestion 11.<br \/>\n5,<span style=\"text-decoration: underline;\">1<\/span>20,379<br \/>\nAnswer:<br \/>\n5,120,379<br \/>\nValue of 1 in the above number is 1 Hundred Thousands<\/p>\n<p>Question 12.<br \/>\n400,<span style=\"text-decoration: underline;\">6<\/span>81<br \/>\nAnswer:<br \/>\n400,681<br \/>\nValue of 6 in the above number is 6 hundred.<\/p>\n<p>Question 13.<br \/>\n<span style=\"text-decoration: underline;\">7<\/span>,245,819<br \/>\nAnswer:<br \/>\n7,245,819<br \/>\nValue of 7 in the above number is 7 million.<\/p>\n<p>Question 14.<br \/>\n<span style=\"text-decoration: underline;\">2<\/span>3, 504<br \/>\nAnswer:<br \/>\n23, 504<br \/>\nValue of\u00a0 2 in the above number is 2 Ten Thousands<\/p>\n<h3><a id=\"Lesson_5.6_Use_Partial_Products_to_Multiply_Decimals\"><\/a>Lesson 5.6 Use Partial Products to Multiply Decimals<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use the area model and partial products to find 1.4 \u00d7 1.5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15819\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 1\" width=\"436\" height=\"300\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-1.png 436w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-1-300x206.png 300w\" sizes=\"(max-width: 436px) 100vw, 436px\" \/><br \/>\nAnswer:<br \/>\nFrom the above grid we can note down the following expressions<br \/>\n1\u00d71<br \/>\n1\u00d70.4<br \/>\n1\u00d70.5<br \/>\n0.4\u00d70.5<br \/>\nFind the product of the four equations and then add their products to find the area of the model<br \/>\n1\u00d71=1<br \/>\n1\u00d70.4=0.4<br \/>\n1\u00d70.5=0.5<br \/>\n0.4\u00d70.5=0.2<br \/>\nAdd the products of the above four equations<br \/>\n1+0.4+0.5+0.2=2.1<\/p>\n<p><strong>Structure<\/strong><br \/>\nHow can you use partial products to multiply decimals?<br \/>\nAnswer:<br \/>\nBreaking up the number to multiply into parts, multiplying the parts separately, and then adding is called partial product.we can use partial product strategy to find the product of decimals by breaking them into parts.<\/p>\n<p><strong>Think and Grow: Use Partial Products toMultiply<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nUse partial products to find 3.2 \u00d7 4.8. Estimate ________<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15820\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-2.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 2\" width=\"656\" height=\"498\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-2.png 656w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-2-300x228.png 300w\" sizes=\"(max-width: 656px) 100vw, 656px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15821\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-3.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 3\" width=\"106\" height=\"176\" \/><br \/>\nAnswer:<br \/>\n4.5\u00d72.1<br \/>\n1.Multiply the tenths by tenths =0.5\u00d70.1=0.05<br \/>\n2.Multiply the ones by tenths = 0.5\u00d72=1<br \/>\n3.Multiply the tenths by ones = 4\u00d70.1=0.4<br \/>\n4.Multiply the ones by ones =4\u00d72=8<br \/>\nAdd all the partial products =0.05+1+0.4+8=9.45<br \/>\nTherefore 4.5\u00d72.1=9.45<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15822\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-4.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 4\" width=\"95\" height=\"173\" \/><br \/>\nAnswer:<br \/>\n2.7\u00d75.3<br \/>\n1.Multiply the tenths by tenths =0.7\u00d70.3=0.21<br \/>\n2.Multiply the ones by tenths = 0.3\u00d72=0.6<br \/>\n3.Multiply the tenths by ones = 5\u00d70.7=3.5<br \/>\n4.Multiply the ones by ones =5\u00d72=10<br \/>\nAdd all the partial products =0.21+0.6+3.5+10=14.31<br \/>\nTherefore\u00a0 2.7\u00d75.3=14.31<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15823\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-5.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 5\" width=\"92\" height=\"186\" \/><br \/>\nAnswer:<br \/>\n5.4\u00d73.3<br \/>\n1.Multiply the tenths by tenths =0.3\u00d70.4=0.12<br \/>\n2.Multiply the ones by tenths = 0.3\u00d75=1.5<br \/>\n3.Multiply the tenths by ones = 4\u00d70.3=1.2<br \/>\n4.Multiply the ones by ones =5\u00d73=15<br \/>\nAdd all the partial products=0.12+1.5+1.2+15=17.82<br \/>\nTherefore 5.4\u00d73.3=17.82<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15824\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-6.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 6\" width=\"64\" height=\"80\" \/><br \/>\nAnswer:<br \/>\n4.1\u00d72.3<br \/>\n1.Multiply the tenths by tenths =0.1\u00d70.3=0.03<br \/>\n2.Multiply the ones by tenths = 0.1\u00d72=0.2<br \/>\n3.Multiply the tenths by ones = 4\u00d70.3=1.2<br \/>\n4.Multiply the ones by ones =4\u00d72=8<br \/>\nAdd all the partial products=0.03+0.2+1.2+8=9.43<br \/>\nTherefore 4.1\u00d72.3=9.43<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15825\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-7.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 7\" width=\"69\" height=\"71\" \/><br \/>\nAnswer:<br \/>\n16.7\u00d70.4<br \/>\n1.Multiply the tenths by tenths =0.7\u00d70.4=0.28<br \/>\n2.Multiply the ones by tenths = 0.7\u00d70=0<br \/>\n3.Multiply the tenths by ones = 16\u00d70.4=6.4<br \/>\n4.Multiply the ones by ones =16\u00d70=0<br \/>\nAdd all the partial products=0.28+6.4=6.68<br \/>\nTherefore 16.7\u00d70.4=6.68<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15826\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-8.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 8\" width=\"69\" height=\"62\" \/><br \/>\nAnswer:<br \/>\n5.9\u00d78.6<br \/>\n1.Multiply the tenths by tenths =0.9\u00d70.6=0.54<br \/>\n2.Multiply the ones by tenths = 0.9\u00d78=7.23.<br \/>\nMultiply the tenths by ones = 5\u00d70.6=3<br \/>\n4.Multiply the ones by ones =5\u00d78=40<br \/>\nAdd all the partial products=0.54+7.2+3+40=50.74<br \/>\nTherefore 5.9\u00d78.6=50.74<\/p>\n<p>Question 7.<br \/>\n23.7 \u00d7 3.5 = ______<br \/>\nAnswer:<br \/>\n23.7\u00d73.5<br \/>\n1.Multiply the tenths by tenths =0.7\u00d70.5=0.35<br \/>\n2.Multiply the ones by tenths = 0.7\u00d73=2.1<br \/>\n3.Multiply the tenths by ones = 23\u00d70.5=11.5<br \/>\n4.Multiply the ones by ones =23\u00d73=69<br \/>\nAdd all the partial products=0.35+2.1+11.5+69=82.95<br \/>\nTherefore 23.7\u00d73.5=82.95<\/p>\n<p>Question 8.<br \/>\n10.6 \u00d7 14.7 = ______<br \/>\nAnswer:<br \/>\n10.6\u00d714.7<br \/>\n1.Multiply the tenths by tenths =0.6\u00d70.7=0.42<br \/>\n2.Multiply the ones by tenths = 0.6\u00d714=8.4<br \/>\n3.Multiply the tenths by ones = 10\u00d70.7=7<br \/>\n4.Multiply the ones by ones =10\u00d714=140<br \/>\nAdd all the partial products=0.42+8.4+9.8+140=155.82<br \/>\nTherefore 10.6\u00d714.7=155.82<\/p>\n<p>Question 9.<br \/>\n1.2 \u00d7 3.71 = ______<br \/>\nAnswer:<br \/>\n1.2\u00d73.71<br \/>\n1.Multiply the tenths by tenths =0.2\u00d70.71=0.142<br \/>\n2.Multiply the ones by tenths = 0.2\u00d73=0.6<br \/>\n3.Multiply the tenths by ones = 1\u00d70.71=0.71<br \/>\n4.Multiply the ones by ones =1\u00d73=3<br \/>\nAdd all the partial products=0.142+0.6+0.71+3=4.452<br \/>\nTherefore 1.2\u00d73.71=4.452<\/p>\n<p>Question 10.<br \/>\nA space probe travels 643.5 miles every minute. How far does it travel in 1.5 minutes?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15827\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-9.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 9\" width=\"225\" height=\"151\" \/><br \/>\nAnswer:<br \/>\nA space probe travels 643.5 miles every minute.<br \/>\nThe distance it travel in 1.5 minutes is 643.5\u00d71.5<br \/>\n643.5\u00d71.5<br \/>\n1.Multiply the tenths by tenths =0.5\u00d70.5=0.25<br \/>\n2.Multiply the ones by tenths = 0.5\u00d71=0.5<br \/>\n3.Multiply the tenths by ones = 643\u00d70.5=321.5<br \/>\n4.Multiply the ones by ones =643\u00d71=643<br \/>\nAdd all the partial products is=0.25+0.5+321.5+643=965.25<br \/>\nTherefore 643.5\u00d71.5=965.25<\/p>\n<p>Question 11.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWhich products are greater than 20.4?<br \/>\n3.4 \u00d7 7.2<br \/>\n2.5 \u00d7 4.8<br \/>\n3.2 \u00d7 6.3<br \/>\n8.6 \u00d7 2.4<br \/>\nAnswer:<br \/>\n3.4 \u00d7 7.2=24.48&gt;20.4<br \/>\n2.5 \u00d7 4.8=12&lt;20.4<br \/>\n3.2 \u00d7 6.3=20.16&lt;20.4<br \/>\n8.6 \u00d7 2.4=2.64&gt;20.4<br \/>\nThe products of 3.4\u00d77.2 and 8.6\u00d72.4 are greater than 20.4.<\/p>\n<p>Question 12.<br \/>\n<strong>Precision<\/strong><br \/>\nHow can you use estimation to help you place the decimal point in a product? Explain.<br \/>\nAnswer:<br \/>\nYou will need to multiply and then estimate the solution. Start by multiplying just as if you are multiplying whole numbers. Because the original numbers have 4 digits total after their decimal points , insert a decimal point into your answer so that it has 4 digits to its right.<\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWrite a multiplication equation shown by the partial products.<br \/>\n0.14 + 0.2 + 2.1 + 3<br \/>\nAnswer:<br \/>\n0.14 + 0.2 + 2.1 + 3 = 5.44<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA geologist has a blue geode that weighs 2.5 pounds. The geologist has a purple geode that weighs 1.6 times as much as the blue geode. What is the total weight of the geodes?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15828\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-10.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 10\" width=\"141\" height=\"167\" \/><br \/>\nFind the weight of the purple geode by multiplying the weight of the blue geode by 1.6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15829\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-11.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 11\" width=\"59\" height=\"64\" \/><br \/>\nThe weight of the purple geode is ______ pounds.<br \/>\nAdd the weights of the blue geode and the purple geode.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15830\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-12.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 12\" width=\"88\" height=\"64\" \/><br \/>\nThe total weight of the geodes is ______ pounds.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 14.<br \/>\nYou buy 3.5 yards of yellow fabric to make a Chinese dragon. You buy 2.5 times as much red fabric as yellow fabric. How many yards of fabric do you buy in all?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15831\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-13.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 13\" width=\"198\" height=\"144\" \/><br \/>\nAnswer:<br \/>\nFind the yards of red fabric by multiplying the yards of yellow fabric by 2.5<br \/>\n3.5\u00d72.5=8.75(0.25+1.5+1+6)<br \/>\n8.75 yards of red fabric is required to make a dragon.<br \/>\nAdd the yards of yellow and red fabric<br \/>\n3.5+8.75=12.25<br \/>\nTotal fabric i need to buy to make a dragon is 12.25 yards.<\/p>\n<p>Question 15.<br \/>\nAn employee cleans the surface of the rectangular ice rink. What is the area of the ice rink?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15832\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-14.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 14\" width=\"195\" height=\"103\" \/><br \/>\nAnswer:<br \/>\nIce rink here is in rectangular shape.<br \/>\nArea of a rectangle is length \u00d7 breadth<br \/>\nLength of ice rink is 18.3 m, breadth of ice rink is 9.1 m<br \/>\n18.3\u00d79.1=0.03+2.7+1.8+162<br \/>\nArea of ice rink is 166.53 square meters<\/p>\n<p>Question 16.<br \/>\nThere are 89.1 milligrams of Vitamin C in 1 cup of strawberries. There are 83.2 milligrams of Vitamin C in 1 cup of orange slices. You eat2.5 cups of strawberries and 1.5 cups of orange slices. How much Vitamin C do you consume?<br \/>\nAnswer:<br \/>\nMultiply vitamin C in 1 cup of strawberries with 2.5<br \/>\n89.1\u00d72.5=222.75<br \/>\nMultiply vitamin C in 1 cup of orange slices with 1.5<br \/>\n83.2\u00d71.5=124.8<br \/>\nAdd both the quantities 222.75+124.8=347.55<br \/>\nTotal vitamin c consumed by me is 347.55 milligrams.<\/p>\n<h3><a id=\"Use_Partial_Products_to_Multiply_Decimals_Homework_&amp;_Practice_5.6\"><\/a>Use Partial Products to Multiply Decimals Homework &amp; Practice 5.6<\/h3>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15833\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-15.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 15\" width=\"86\" height=\"171\" \/><br \/>\nAnswer:<br \/>\n2.4\u00d71.2=<br \/>\n1.Multiply the tenths by tenths =0.4\u00d70.2=0.08<br \/>\n2.Multiply the ones by tenths = 0.4\u00d71=0.4<br \/>\n3.Multiply the tenths by ones = 2\u00d70.2=0.4<br \/>\n4.Multiply the ones by ones =2\u00d71=2<br \/>\nAdd all the partial products =0.08+0.4+0.4+2=2.88<br \/>\nTherefore 2.4\u00d71.2=2.88<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15834\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-16.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 16\" width=\"77\" height=\"179\" \/><br \/>\nAnswer:<br \/>\n3.1\u00d76.7<br \/>\n1.Multiply the tenths by tenths =0.1\u00d70.7=0.07<br \/>\n2.Multiply the ones by tenths = 0.1\u00d76=0.6<br \/>\n3.Multiply the tenths by ones = 3\u00d70.7=2.1<br \/>\n4.Multiply the ones by ones =3\u00d76=18<br \/>\nAdd all the partial products =0.07+0.6+2.1+18=20.77<br \/>\nTherefore 3.1\u00d76.7=20.77<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15835\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-17.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 17\" width=\"93\" height=\"190\" \/><br \/>\nAnswer:<br \/>\n7.3\u00d75.9=<br \/>\n1.Multiply the tenths by tenths =0.3\u00d70.9=0.27<br \/>\n2.Multiply the ones by tenths = 0.3\u00d75=1.5<br \/>\n3.Multiply the tenths by ones = 7\u00d70.9=6.3<br \/>\n4.Multiply the ones by ones =7\u00d75=35<br \/>\nAdd all the partial products =0.27+1.5+6.3+35=42.07<br \/>\nTherefore 7.3\u00d75.9=43.07<\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15836\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-18.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 18\" width=\"70\" height=\"71\" \/><br \/>\nAnswer:<br \/>\n2.8\u00d73.7<br \/>\n1.Multiply the tenths by tenths =0.8\u00d70.7=0.56<br \/>\n2.Multiply the ones by tenths = 0.8\u00d73=2.4<br \/>\n3.Multiply the tenths by ones = 2\u00d70.7=1.4<br \/>\n4.Multiply the ones by ones =2\u00d73=6<br \/>\nAdd all the partial products =0.56+2.4+1.4+6=10.36<br \/>\nTherefore 2.8\u00d73.7=10.36<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15837\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-19.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 19\" width=\"69\" height=\"67\" \/><br \/>\nAnswer:<br \/>\n5.6\u00d74.6<br \/>\n1.Multiply the tenths by tenths =0.6\u00d70.6=0.36<br \/>\n2.Multiply the ones by tenths =0.6&#215;4=2.4<br \/>\n3.Multiply the tenths by ones =0.6&#215;5=3<br \/>\n4.Multiply the ones by ones =5&#215;4=20<br \/>\nAdd all the partial products =0.36+2.4+3+20=25.76<br \/>\nTherefore 5.6&#215;4.6=25.76<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15838\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-20.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 20\" width=\"67\" height=\"70\" \/><br \/>\nAnswer:<br \/>\n14.5\u00d77.8=<br \/>\n1.Multiply the tenths by tenths =0.5\u00d70.8=0.4<br \/>\n2.Multiply the ones by tenths = 0.5\u00d77=3.5<br \/>\n3.Multiply the tenths by ones = 14\u00d70.8=11.2<br \/>\n4.Multiply the ones by ones =14\u00d77=98<br \/>\nAdd all the partial products =0.4+3.5+11.2+98=133.1<br \/>\nTherefore\u00a0 14.5\u00d77.8=113.1<\/p>\n<p>Question 7.<br \/>\n21.4 \u00d7 9.3 = ______<br \/>\nAnswer:<br \/>\n21.4\u00d79.3=<br \/>\n1.Multiply the tenths by tenths =0.4\u00d70.3=0.12<br \/>\n2.Multiply the ones by tenths = 0.4\u00d79=3.6<br \/>\n3.Multiply the tenths by ones = 21\u00d70.3=6.3<br \/>\n4.Multiply the ones by ones =21\u00d79=189<br \/>\nAdd all the partial products =0.12+3.6+6.3+189=199.02<br \/>\nTherefore\u00a0 21.4\u00d79.3=199.02<\/p>\n<p>Question 8.<br \/>\n58.1 \u00d7 8.6 = ______<br \/>\nAnswer:<br \/>\n58.1\u00d78.6=<br \/>\n1.Multiply the tenths by tenths =0.1\u00d70.6=0.06<br \/>\n2.Multiply the ones by tenths = 0.1\u00d78=0.8<br \/>\n3.Multiply the tenths by ones = 58\u00d70.6=34.8<br \/>\n4.Multiply the ones by ones =58\u00d78=464<br \/>\nAdd all the partial products =0.06+0.8+34.8+464=499.66<br \/>\nTherefore\u00a0 58.1\u00d78.6=499.66<\/p>\n<p>Question 9.<br \/>\n0.6 \u00d7 1.45 = ______<br \/>\nAnswer:<br \/>\n0.6\u00d71.45=<br \/>\n1.Multiply the tenths by tenths =0.6\u00d70.45=0.27<br \/>\n2.Multiply the ones by tenths = 0.6\u00d71=0.6<br \/>\n3.Multiply the tenths by ones = 0\u00d70.45=0<br \/>\n4.Multiply the ones by ones =0\u00d71=0<br \/>\nAdd all the partial products =0.27+0.6+0+0=0.87<br \/>\nTherefore\u00a0 0.6\u00d71.45=0.87<\/p>\n<p>Question 10.<br \/>\n<strong>Writing<\/strong><br \/>\nHow is multiplying two decimals different than multiplying a whole number and a decimal?<br \/>\nAnswer:<br \/>\nYou have to line up the decimals in the two numbers with decimals, but the decimal and the whole numbers you don&#8217;t have to line up the decimals because there is only one number with a decimal.<\/p>\n<p>Question 11.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nTwo numbers each have one decimal place. Is it possible for their product to be a whole number? Explain.<br \/>\nAnswer:<br \/>\nNo. When you multiply something by a decimal, you make it smaller. Since you&#8217;ve started with something smaller than a whole number, and then you make it smaller, the answer will always be less than a whole number, and thus never a whole number<\/p>\n<p>Question 12.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA red-bellied snake is 11.5 inches long. A ring-necked snake is 1.4 times as long as the red-bellied snake. How much longer is the ring-necked snake than the red-bellied snake?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15839\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-5.6-21.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.6 21\" width=\"291\" height=\"121\" \/><br \/>\nAnswer:<br \/>\nTo find the length of a ring\u2010necked snake multiply the length of red\u2010bellied snake by 1.4<br \/>\n11.5\u00d71.4=16.1<br \/>\nLength of ring\u2010necked snake is 16.1 inches.<br \/>\nSubtract 11.5 from 16.1=4.6 inches.<br \/>\n4.6 inches much longer is the ring-necked snake than the red-bellied snake.<\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou use 2 cans of tomato sauce with mushrooms and 1.5 cans of plain tomato sauce to make lasagna. Each can contains 10.5 ounces. How many ounces of tomato sauce are in the lasagna?<br \/>\nAnswer:<br \/>\nEach can contains 10.5 ounces of tomato sauce<br \/>\n2 cans contains 2\u00d710.5=21 ounces<br \/>\n1.5 cans of plain sauce contains<br \/>\n1.5\u00d710.5=15.75 ounces of sauce<br \/>\nAdd 21 and 15.75 to find ounces of tomato sauce in the lasagna<br \/>\n21+15.75=36.75 ounces.<br \/>\n36.75 ounces of tomato sauce are in the lasagna.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 14.<br \/>\n24 \u00d7 10<sup>4<\/sup> = ______<br \/>\nAnswer:<br \/>\n24\u00d710000=240000<\/p>\n<p>Question 15.<br \/>\n700 \u00d7 30 = ______<br \/>\nAnswer:<br \/>\n700\u00d730=21000<\/p>\n<p>Question 16.<br \/>\n200 \u00d7 600 = _______<br \/>\nAnswer:<br \/>\n200\u00d7600=120000<\/p>\n<h3><a id=\"Lesson_5.7_Use_Strategies_to_Multiply_Decimals\"><\/a>Lesson 5.7 Use Strategies to Multiply Decimals<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Without multiplying, determine the pairs of expressions that have the same value. Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15840\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.7-1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 5.7 1\" width=\"419\" height=\"187\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.7-1.png 419w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.7-1-300x134.png 300w\" sizes=\"(max-width: 419px) 100vw, 419px\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nHow do you know how many decimal places are in each product? Explain.<br \/>\nAnswer:<br \/>\nThe number of decimal places in each product is the sum of decimal places in the multiplyer and the multiplicand.<\/p>\n<p><strong>Think and Grow: Use Strategies to Multiply<\/strong><\/p>\n<p>You can use estimation and place value, or multiplication properties to multiply.<\/p>\n<p><strong>Example<\/strong><br \/>\nFind 3.84 \u00d7 2.1. Estimate _______<br \/>\nMultiply 384 by21. Then place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after the ______.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15841\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.7-2.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.7 2\" width=\"84\" height=\"134\" \/><br \/>\nSo, 3.84 \u00d7 2.1 = _____.<\/p>\n<p><strong>Example<\/strong><br \/>\nFind 0.3 \u00d7 0.7.<br \/>\nYou can use properties to multiply.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15842\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.7-3.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.7 3\" width=\"665\" height=\"328\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.7-3.png 665w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.7-3-300x148.png 300w\" sizes=\"(max-width: 665px) 100vw, 665px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find the product. Explain the strategy you used.<\/strong><br \/>\nQuestion 1.<br \/>\n4.91 \u00d7 0.8 = _____<br \/>\nAnswer:<br \/>\nEstimate:4&#215;1=4<br \/>\nMultiply 491\u00d78=3928<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after one digit ie thousands place.<br \/>\n3.928<\/p>\n<p>Question 2.<br \/>\n10.2 \u00d7 5.6 = ______<br \/>\nAnswer<br \/>\nEstimate:10&#215;6=60<br \/>\nMultiply 102\u00d756=5712<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after one digit ie thousands place.<br \/>\n57.12<\/p>\n<p>Question 3.<br \/>\n12.03 \u00d7 4.2 = ______<br \/>\nAnswer:<br \/>\nEstimate:12&#215;4=48<br \/>\nMultiply 1203\u00d743=51729<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after two digits ie thousands place.<br \/>\n51.729<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Find the product. Explain the strategy you used.<\/strong><br \/>\nQuestion 4.<br \/>\n0.9 \u00d7 3.2 = _____<br \/>\nAnswer:<br \/>\nEstimate:1&#215;3=3<br \/>\nMultiply 9\u00d732=288<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after one digit ie hundreds place.<br \/>\n2.88<\/p>\n<p>Question 5.<br \/>\n1.7 \u00d7 0.84 = ______<br \/>\nAnswer:<br \/>\nEstimate:2&#215;1=2<br \/>\nMultiply 17\u00d784=1428<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after one digit ie thousands place.<br \/>\n1.428<\/p>\n<p>Question 6.<br \/>\n2.4 \u00d7 2.4 = ______<br \/>\nAnswer:<br \/>\nEstimate:2&#215;3=6<br \/>\nMultiply 24\u00d724=576<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after one digit ie hundreds place.<br \/>\n5.76<\/p>\n<p>Question 7.<br \/>\n12.1 \u00d7 0.8 = ______<br \/>\nAnswer:<br \/>\nEstimate:12&#215;1=12<br \/>\nMultiply 121\u00d78=968<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after one digit ie hundreds place.<br \/>\n9.68<\/p>\n<p>Question 8.<br \/>\n0.05 \u00d7 0.9 = ______<br \/>\nAnswer:<br \/>\nThink: 0.05=5\u00d70.01 and 0.9=9\u00d70.1<br \/>\nUse properties to multiply (commutative property of multiplication and associative property of multiplication)<br \/>\n0.05\u00d70.9=5\u00d70.01\u00d79\u00d70.1<br \/>\n=(5\u00d79)\u00d7(0.1\u00d70.01)<br \/>\n=45(0.001)<br \/>\n=0.045<br \/>\nMultiplying 45 by 0.001 moves the decimal point three places to\u00a0 the left.<br \/>\nTherefore 0.05\u00d70.9=0.045.<\/p>\n<p>Question 9.<br \/>\n7.4 \u00d7 8.6 = ______<br \/>\nAnswer:<br \/>\nEstimate:7&#215;9=63<br \/>\nMultiply 74\u00d786=6364<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after two digits ie hundreds place.<br \/>\n63.64<\/p>\n<p>Question 10.<br \/>\nA newly hatched fish is 0.25 inch long. An adult fish is 7.6 times as long as the newly hatched fish. How long is the adult fish?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15843\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.7-4.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.7 4\" width=\"165\" height=\"117\" \/><br \/>\nAnswer:<br \/>\nA newly hatched fish is 0.25 inch long, An adult fish is 7.6 times as long as the newly hatched fish.<br \/>\nMultiply 7.6 by 0.25<br \/>\n7.6\u00d70.25=(76\u00d725)\u00d7(0.1\u00d70.01)=1900\u00d70.001=1.9Therefore the adult fish is 1.9 inches long.<\/p>\n<p>Question 11.<br \/>\nWriting<\/p>\n<p>Which strategy do you prefer to use to multiply decimals? Explain.<br \/>\nAnswer:<br \/>\nI prefer estimate strategy as it is very easy find the product of decimals by estimating the product of their whole numbers and placing the decimal point.<\/p>\n<p>Question 12.<br \/>\n<strong>Structure<\/strong><br \/>\nYour friend multiplies two decimals by rewriting the product as (56 \u00d7 3) \u00d7 (0.01 \u00d70.1). What two decimals could she be multiplying?<br \/>\nAnswer:<br \/>\nMy friend multiplies two decimals by rewriting the product as (56 \u00d7 3) \u00d7 (0.01 \u00d70.1)<br \/>\nUse multiplication properties.<br \/>\n(56 \u00d7 3) \u00d7 (0.01 \u00d70.1)=(56\u00d70.01)\u00d7(3\u00d70.1)=0.56\u00d70.3<br \/>\nTherefore my friend multiplied 0.56 by 0.3.<\/p>\n<p>Question 13.<br \/>\n<strong>Precision<\/strong><br \/>\nHow many decimal places are in the unknown factor? Explain<br \/>\n_____ \u00d7 2.8 = 4.48<br \/>\nAnswer:<br \/>\n_____ \u00d7 2.8 = 4.48<br \/>\nIn the above equation the multiplicand in the equation has one decimal place after decimal point.<br \/>\nAs the product has two decimal places after the decimal point the multiplyer will also have 1 digit after decimal point.<br \/>\nTherefore there is one decimal place is in the unknown factor.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYou measure the distance between Los Angeles and Anaheim on a map. Each centimeter represents 2.5 kilometers. What is the actual distance between the cities?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15844\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.7-5.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.7 5\" width=\"200\" height=\"178\" \/><br \/>\nBecause each centimeter represents 2.5 kilometers, multiply 15.4 and 2.5 to find the actual distance.<br \/>\nMultiply 154 by 25. Then place the decimal point. Estimate ______<br \/>\nBecause the product should be close to your estimate, place the decimal point after the ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15845\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.7-6.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.7 6\" width=\"92\" height=\"139\" \/><br \/>\n15.4 \u00d7 2.5 = _______<br \/>\nSo, the actual distance between the cities is _________ kilometers.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 14.<br \/>\nYou measure the height of the replica of the Lincoln statue. Each centimeter represents 2.5 meters. What is the actual height of the Lincoln statue?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15846\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.7-7.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.7 7\" width=\"188\" height=\"162\" \/><br \/>\nAnswer:<br \/>\nBecause each centimeter represents 2.5 meters, multiply 2.32 and 2.5 to find the actual height.<br \/>\nMultiply 232 by 25. Then place the decimal point. Estimate 232\u00d725<br \/>\nBecause the product should be close to your estimate, place the decimal point after the one digit ie 3 places from the left.<br \/>\n232\u00d725=5800<br \/>\n2.32 \u00d7 2.5 = 5.800=5.8<br \/>\nSo, the actual height is 5.8 meters<br \/>\nTherefore the actual height of the Lincoln statue is 5.8 meters.<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nHow much does the bunch of bananas cost? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15847\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.7-8.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.7 8\" width=\"144\" height=\"183\" \/><br \/>\nAnswer:<br \/>\nThe above picture tells us that there are 2.3 pounds of bananas.<br \/>\nEach pound of banana costs $0.59<br \/>\nTo find the cost of 2.3 pounds of bananas<br \/>\nMultiply 2.3\u00d70.59=<br \/>\nEstimate<br \/>\nBecause the product should be close to your estimate, place the decimal point after the one digit ie 3 places from the left<br \/>\n23\u00d759=1357<br \/>\nTherefore 2.3\u00d70.59=1.357<\/p>\n<p>Question 16.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYour friend has a digital photograph file that is 0.25 mega byte larger than 7.5 times the file size of your photograph. What is the file size of your friend\u2019s photograph?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15848\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.7-9.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.7 9\" width=\"155\" height=\"124\" \/><br \/>\nAnswer:<br \/>\nFile size of my photograph is 0.5 MB<br \/>\nMy friend has a digital photograph file that is 0.25 mega byte larger than 7.5 times the file size of my photograph.<br \/>\nEstimate<br \/>\nMultiply 0.5\u00d77.5<br \/>\n(5\u00d775)\u00d7(0.1\u00d70.1)=375\u00d70.01=3.75 MB<br \/>\nBecause the product should be close to your estimate, place the decimal point after the one digit ie 2 places from the left<br \/>\nAdd 0.25 MB to 3.75 MB<br \/>\n=3.75+0.25=4 MB<br \/>\nThe file size of my friend\u2019s photograph is 4 MB.<\/p>\n<h3><a id=\"Use_Strategies_to_Multiply_Decimals_Homework_&amp;_Practice_5.7\"><\/a>Use Strategies to Multiply Decimals Homework &amp; Practice 5.7<\/h3>\n<p><strong>Find the product. Explain the strategy you used.<\/strong><br \/>\nQuestion 1.<br \/>\n0.8 \u00d7 1.4 = ______<br \/>\nAnswer:<br \/>\nEstimate:1&#215;1=1<br \/>\nMultiply 8\u00d714=112<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after one digit ie hundreds place.<br \/>\n1.12<\/p>\n<p>Question 2.<\/p>\n<p>1.3 \u00d7 2.9 = ______<br \/>\nAnswer:<br \/>\nEstimate:1&#215;3=3<br \/>\nMultiply 13\u00d729=377<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after one digit ie hundreds place.<br \/>\n3.77<\/p>\n<p>Question 3.<br \/>\n1.7 \u00d7 0.6 = ______<br \/>\nAnswer:<br \/>\nEstimate:1&#215;1=1<br \/>\nMultiply 17\u00d76=102<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after one digit ie hundreds place.<br \/>\n1.02<\/p>\n<p>Question 4.<br \/>\n3.86 \u00d7 2.8 = ______<br \/>\nAnswer:<br \/>\nEstimate:3&#215;3=9<br \/>\nMultiply 386\u00d728=10808<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after two digits ie hundreds place.<br \/>\n10.808<\/p>\n<p>Question 5.<br \/>\n0.07 \u00d7 4.5 = _______<br \/>\nAnswer:<br \/>\nEstimate:0x4=0<br \/>\nMultiply 7\u00d745=315<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point before three digits ie hundreds<br \/>\nplace.<br \/>\n0.315<\/p>\n<p>Question 6.<br \/>\n2.56 \u00d7 6.25 = ______<br \/>\nAnswer:<br \/>\nEstimate:3&#215;6=18<br \/>\nMultiply 256\u00d7625=160000<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after two digits ie ten thousands place.<br \/>\n16.0000=16<\/p>\n<p>Question 7.<br \/>\n1.18 \u00d7 0.8 = ______<br \/>\nAnswer:<br \/>\nEstimate:1&#215;1=1<br \/>\nMultiply 118\u00d78=944<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point before three digits ie hundreds place.<br \/>\n0.944<\/p>\n<p>Question 8.<br \/>\n18.2 \u00d7 0.9 = ______<br \/>\nAnswer:<br \/>\nEstimate:18&#215;1=18<br \/>\nMultiply 182\u00d79=1638<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after two digits ie hundreds place.<br \/>\n16.38<\/p>\n<p>Question 9.<br \/>\n6.7 \u00d7 5.2 = ______<br \/>\nAnswer:<br \/>\nEstimate:7&#215;5=35<br \/>\nMultiply 67\u00d752=3484<br \/>\nThen place the decimal point.<br \/>\nBecause the product should be close to your estimate, place the decimal point after two digits ie hundreds place.<br \/>\n34.84<\/p>\n<p>Question 10.<br \/>\nA beaker contains 0.75 liter of a solution. You use 0.1 of the solution for an experiment. How much of the solution do you use?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15849\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.7-10.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.7 10\" width=\"84\" height=\"109\" \/><br \/>\nAnswer:<br \/>\nTo find the amount of solution used multiply 0.75 by 0.1<br \/>\n0.75\u00d70.1=0.075<br \/>\n0.075 litrrs of solution is used.<\/p>\n<p>Question 11.<br \/>\n<strong>Structure<\/strong><br \/>\nWhich expressions are equivalent to 0.6 \u00d7 0.3?<br \/>\n(6 \u00d7 3) \u00d7 (0.1 \u00d7 0.1)<br \/>\n(6 \u00d7 3) \u00d7 (0.01 \u00d7 0.01)<br \/>\n(6 \u00d7 3) \u00d7 (\\(\\frac{1}{10}\\) \u00d7 \\(\\frac{1}{10}\\))<br \/>\n(6 \u00d7 0.1) \u00d7 (3\u00d7 0.1)<br \/>\nAnswer:<br \/>\n(6 \u00d7 3) \u00d7 (0.1 \u00d7 0.1), (6 \u00d7 0.1) \u00d7 (3\u00d7 0.1) are equivalent to 0.6\u00d70.3 as their product is equal to the product of 0.6\u00d70.3.<\/p>\n<p>Question 12.<br \/>\n<strong>Number Sense<\/strong><br \/>\nYour friend finds 0.92 \u00d7 0.3 by multiplying 92 and 3. Explain how your friend will know where to place the decimal point in the product.<br \/>\nAnswer:<br \/>\nMy friend finds 0.92\u00d70.3 by multiplying 92 and 3<br \/>\nIn 0.92 there are two digits after decimal point and in 0.3 there are three digits after decimal point so the product should have 3 digits after decimal point.<br \/>\nWhen we multiply 92 by 3 the product is 276<br \/>\nTherefore the decimal\u00a0 point is placed before 3 digits from the left 0.276 will be the product.<\/p>\n<p>Question 13.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWhen finding 75 \u00d7 0.01, where will the decimal point be placed? Explain.<br \/>\nAnswer:<br \/>\nWhile finding the product of 75 and 0.01 the decimal point will be placed before two digits as the decimal point in 0.01 has two places after decimal.<br \/>\nTherefore 0.75 is the product and decimal point is placed two places from the left.<\/p>\n<p>Question 14.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA toy car designer measures the length of the actual car shown. A toy car is 0.05 times as long as the actual car. How long is the toy car?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15850\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals-5.7-11.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals 5.7 11\" width=\"193\" height=\"92\" \/><br \/>\nAnswer:<br \/>\nA toy car designer measures the length of the actual car shown.<br \/>\nLength of the actual car is 160.6 inches<br \/>\nA toy car is 0.05 times as long as the actual car<br \/>\nMultiply 160.6\u00d70.05=8.03<br \/>\nTherefore Toy car is 8.03 inches long.<\/p>\n<p>Question 15.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA carpet installer measures 3 rectangular bedrooms for new carpeting. Which bedroom needs the most carpeting?<br \/>\nBedroom A: 3.1 meters by3.1 meters<br \/>\nBedroom B: 2.9 meters by3.2 meters<br \/>\nBedroom C: 2.5 meters by3.4 meters160.6 inches<br \/>\nAnswer:<br \/>\nBedroom A: 3.1\u00d73.1= (31\u00d731)\u00d7(0.1\u00d70.1)=961\u00d70.01=9.61<br \/>\nBedroom B: 2.9\u00d73.2=(29\u00d732)\u00d7(0.1\u00d70.1)=928\u00d70.01=9.28<br \/>\nBedroom C: 2.5\u00d73.4=(25\u00d734)\u00d7(0.1\u00d70.1)=850\u00d70.01=8.50<br \/>\nBedroom A needs the most carpeting.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><br \/>\nQuestion 16.<br \/>\nRound 4.163<br \/>\nNearest whole number: ______<br \/>\nNearest tenth: ______<br \/>\nNearest hundredth: ______<br \/>\nAnswer:<br \/>\nNearest whole number: 4<br \/>\nNearest tenth: 4.2<br \/>\nNearest hundredth: 4.16<\/p>\n<p>Question 17.<br \/>\nRound 10.187.<br \/>\nNearest whole number: ______<br \/>\nNearest tenth: ______<br \/>\nNearest hundredth: ______<br \/>\nAnswer:<br \/>\nNearest whole number:10<br \/>\nNearest tenth: 10.2<br \/>\nNearest hundredth: 10.19<\/p>\n<h3><a id=\"Lesson_5.8_Multiply_Decimals\"><\/a>Lesson 5.8 Multiply Decimals<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Choose any strategy to find each product.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15851\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 1\" width=\"573\" height=\"340\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-1.png 573w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-1-300x178.png 300w\" sizes=\"(max-width: 573px) 100vw, 573px\" \/><br \/>\nAnswer:<\/p>\n<p>0.8\u00d70.4=<br \/>\nEstimate<br \/>\n=(8\u00d74)\u00d7(0.1\u00d70.1)<br \/>\n=32(0.01)<br \/>\n= 0.32<br \/>\n0.8\u00d70.4=0.32<\/p>\n<p>2.1\u00d71.25=<br \/>\nUse partial products<br \/>\n2.1\u00d71.25=<br \/>\n0 .1\u00d70.25=0.025<br \/>\n0 .1\u00d71=0.1<br \/>\n0 .25\u00d72=0.5<br \/>\n2\u00d71=2<br \/>\n2.1\u00d71.25=0.025+0.1+0.5+2=2.625<\/p>\n<p>0.22\u00d74.5<br \/>\nEstimate and place value<\/p>\n<p>22\u00d745=990<br \/>\nThere are 3 decimal places in the factors so place the decimal point before three digits ie hundreds place.<br \/>\n0.990=0.99<br \/>\n0.22\u00d74.5=0.99<\/p>\n<p>1.4\u00d71.6<br \/>\nThink: 1.4=14\u00d70.1 and 1.6=16\u00d70.1<br \/>\nUse properties to multiply (commutative property of multiplication and associative property of multiplication<br \/>\n=1.4\u00d71.6<br \/>\n=14\u00d70.1\u00d716\u00d70.1<br \/>\n=(14\u00d716)\u00d7(0.1\u00d70.1)<br \/>\n=224(0.01)<br \/>\n= 2.24<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nHow can you determine the number of decimal places a product will have before multiplying?<br \/>\nAnswer:<br \/>\nThe decimal places of the product is the sum of the decimal places of the factors.<\/p>\n<p><strong>Think and Grow: Multiply Decimals<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nTo multiply decimals, multiply as you do with whole numbers. The number of decimal places in the product is equal to the sum of the number of decimal places in the factors.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15852\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-2.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 2\" width=\"241\" height=\"84\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15853\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-3.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 3\" width=\"679\" height=\"484\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-3.png 679w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-3-300x214.png 300w\" sizes=\"(max-width: 679px) 100vw, 679px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15854\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-4.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 4\" width=\"55\" height=\"89\" \/><br \/>\nAnswer:<br \/>\n1.8\u00d77.3<br \/>\nMultiply the whole numbers first and place the decimal points<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37555\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-3.png\" alt=\"\" width=\"110\" height=\"153\" \/><br \/>\n18\u00d773=1314<br \/>\nThere are 1 decimal place each in both the factors so the product will have 2 decimal places<br \/>\nPlace the decimal point before 2 digits feom the left 13.14<br \/>\nTherefore 1.8\u00d77.3=13.14<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15855\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-5.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 5\" width=\"74\" height=\"75\" \/><br \/>\nAnswer:<br \/>\n12.41\u00d762<br \/>\nMultiply the whole numbers first and place the decimal points<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37556\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-4.png\" alt=\"\" width=\"120\" height=\"137\" \/><br \/>\n1241\u00d762=76942<br \/>\nThere are 2 decimal places and 1 decimal each in both the factors so the product will have 3 decimal<br \/>\nplaces<br \/>\nPlace the decimal point before three digits from the left 76.942<\/p>\n<p>Therefore 12.41\u00d762=76.942<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15856\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-6.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 6\" width=\"73\" height=\"73\" \/><br \/>\nAnswer:<br \/>\n0.14\u00d70.7<br \/>\nMultiply the whole numbers first and place the decimal points<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37557\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-5.png\" alt=\"\" width=\"100\" height=\"189\" \/><br \/>\n14\u00d77=98<br \/>\nThere are 2 decimal places and 1 decimal place each in both the factors so the product will have 3 decimal<br \/>\nplaces<br \/>\nPlace the decimal point before three digits from the left 0.098<br \/>\nTherefore 0.14\u00d70.7=0.098<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15857\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-7.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 7\" width=\"60\" height=\"68\" \/><br \/>\nAnswer:<br \/>\n2.4\u00d78.9<br \/>\nMultiply the whole numbers first and place the decimal points<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37558\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-6.png\" alt=\"\" width=\"120\" height=\"168\" \/><br \/>\n24\u00d789=2136<br \/>\nThere are 1 decimal places each in both the factors so the product will have 2 decimal places<br \/>\nPlace the decimal point before two digits from the left 21.36<br \/>\nTherefore 2.4\u00d78.9=21.36<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15858\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-8.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 8\" width=\"75\" height=\"81\" \/><br \/>\nAnswer:<br \/>\n0.17\u00d70.3<br \/>\nMultiply the whole numbers first and place the decimal points<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37559\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-7.png\" alt=\"\" width=\"103\" height=\"193\" \/><br \/>\n17\u00d73=51<br \/>\nThere are 2 decimal places and 1 decimal each in both the factors so the product will have 3 decimal<br \/>\nplaces<br \/>\nPlace the decimal point before three digits from the left 0.051<br \/>\nTherefore 0.17\u00d70.3=0.051<\/p>\n<p>Question 6.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15859\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-9.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 9\" width=\"71\" height=\"75\" \/><br \/>\nAnswer:<br \/>\n35.4\u00d76.2<br \/>\nMultiply the whole numbers first and place the decimal points<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37560\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-8.png\" alt=\"\" width=\"120\" height=\"139\" \/><br \/>\n354\u00d762=21948<br \/>\nThere are 1 decimal place each in both the factors so the product will have 2 decimal places<br \/>\nPlace the decimal point before two digits from the left 219.48<br \/>\nTherefore 35.4\u00d762=219.48<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15860\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-10.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 10\" width=\"70\" height=\"72\" \/><br \/>\nAnswer:<br \/>\n9.87\u00d723.6<br \/>\nMultiply the whole numbers first and place the decimal points<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37561\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-9.png\" alt=\"\" width=\"120\" height=\"148\" \/><br \/>\n987\u00d7236=232932<br \/>\nThere are 2 decimal places and 1 decimal each in both the factors so the product will have 3 decimal<br \/>\nplaces<br \/>\nPlace the decimal point before three digits from the left 232.932<br \/>\nTherefore 9.87\u00d723.6=232.932<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15861\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-11.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 11\" width=\"69\" height=\"62\" \/><br \/>\nAnswer:<br \/>\n16.4\u00d77.95<br \/>\nMultiply the whole numbers first and place the decimal points<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37562\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-10.png\" alt=\"\" width=\"120\" height=\"144\" \/><br \/>\n164\u00d7795=130380<br \/>\nThere are 2 decimal places and 1 decimal each in both the factors so the product will have 3 decimal<br \/>\nplaces<br \/>\nPlace the decimal point before three digits from the left 130.380<br \/>\nTherefore 16.4\u00d779.5=130.380<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15862\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-12.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 12\" width=\"63\" height=\"68\" \/><br \/>\nAnswer:<br \/>\n0.8\u00d70.9<br \/>\nMultiply the whole numbers first and place the decimal points<br \/>\n8\u00d79=72<br \/>\nThere are 1 decimal place\u00a0 each in both the factors so the product will have 2 decimal places<br \/>\nPlace the decimal point before two digits from the left 0.72<br \/>\nTherefore 0.8\u00d70.9=0.72<\/p>\n<p>Question 10.<br \/>\n46.5 \u00d7 0.73 = ______<br \/>\nAnswer:<br \/>\n46.5\u00d70.73<br \/>\nMultiply the whole numbers first and place the decimal point<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37563\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-11.png\" alt=\"\" width=\"120\" height=\"140\" \/><br \/>\n465\u00d773=33945<br \/>\nThere are 2 decimal places and 1 decimal each in both the factors so the product will have 3 decimal<br \/>\nplaces<br \/>\nPlace the decimal point before three digits from the left 33.945<br \/>\nTherefore 46.5\u00d70.73=33.945<\/p>\n<p>Question 11.<br \/>\n14.8 \u00d7 9.3 = ________<br \/>\nAnswer:<br \/>\n14.8\u00d79.3<br \/>\nMultiply the whole numbers first and place the decimal points<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37564\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-12.png\" alt=\"\" width=\"110\" height=\"127\" \/><br \/>\n148\u00d793=13764<br \/>\nThere are 1 decimal place\u00a0 each in both the factors so the product will have 2 decimal places<br \/>\nPlace the decimal point before two digits from the left 137.64<br \/>\nTherefore 14.8\u00d79.3\u00d7=137.64<\/p>\n<p>Question 12.<br \/>\n1.54 \u00d7 2.6 = ______<br \/>\nAnswer:<br \/>\n1.54\u00d72.6<br \/>\nMultiply the whole numbers first and place the decimal points<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37565\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-13.png\" alt=\"\" width=\"110\" height=\"150\" \/><br \/>\n154\u00d726=4004<br \/>\nThere are 2 decimal places and 1 decimal each in both the factors so the product will have 3 decimal<br \/>\nplaces<br \/>\nPlace the decimal point before three digits from the left4.004<br \/>\nTherefore 1.54\u00d72.6=4.004<\/p>\n<p>Question 13.<br \/>\nA sugar glider weighs 0.35 times the weight of the pygmy slow loris. How much does the sugar glider weigh?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15863\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-13.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 13\" width=\"322\" height=\"144\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-13.png 322w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-13-300x134.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><br \/>\nAnswer:<br \/>\nA sugar glider weighs 0.35 times the weight of the pygmy slow loris<br \/>\nWeight of pygmy slow loris is 14.9 ounces<br \/>\nMultiply 14.9 by 0.35 to find the weight of sugar glider 14.9\u00d70.35=<br \/>\n149\u00d735<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37566\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-14.png\" alt=\"\" width=\"110\" height=\"147\" \/><br \/>\n5215<br \/>\nThere are 3 decimal places in the factors so the product will have 3 decimal places<br \/>\nPlace the decimal point before 3 digits from the left. 5.215<br \/>\nTherefore 14.9\u00d70.35=5.215<\/p>\n<p>Question 14.<br \/>\n<strong>Structure<\/strong><br \/>\nUse the equation to write two different multiplication expressions that have products of 28.34.<br \/>\n109 \u00d7 26 = 2,834<br \/>\nAnswer:<br \/>\nEquation 1:10.9\u00d72.6=28.34<br \/>\nEquation 2:109\u00d726\u00d70.1\u00d70.1=28.34<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWithout calculating, explain how many decimal places are in the product 0.6 0.4 1.9. Rewrite the expression as the product of two decimals to support your answer.<br \/>\nAnswer:<br \/>\n0.6 \u00d7 0.4 \u00d7 1.9<br \/>\n= 0.456<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nNutritionists recommend that fifth-graders should consume about 28 grams of fiber each day. One serving of broccoli contains 3.8 grams of fiber. You eat 4.5 servings of broccoli in 1 day. Do you consume enough fiber for the day by eating broccoli? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15864\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-14.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 14\" width=\"168\" height=\"158\" \/><br \/>\nMultiply 3.8 by4.5 to find how many grams of fiber you consume by eating broccoli.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15865\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-15.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 15\" width=\"311\" height=\"145\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-15.png 311w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-15-300x140.png 300w\" sizes=\"(max-width: 311px) 100vw, 311px\" \/><br \/>\nCompare the product to 28.<br \/>\nSo, you ______ consume enough fiber for the day by eating broccoli.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 16.<br \/>\nYour aunt drives a car from Cincinnati to Nashville. The car travels 30.4 miles using 1 gallon of gasoline. There are 6.5 gallons of gasoline in the tank. Can she drive the entire distance without adding more gas to the 6.5 gallons already in the tank? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15866\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-16.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 16\" width=\"224\" height=\"196\" \/><br \/>\nAnswer:<br \/>\nMy aunt drives a car from Cincinnati to Nashville.<br \/>\nThe distance from cincinnati to Nashville is 274 miles<br \/>\nThe car travels 30.4 miles using 1 gallon of gasoline, There are 6.5 gallons of gasoline in the tank.<br \/>\nTo find the total distance that my aunt can travel by using 6.5 gallons of gasoline<br \/>\nMultiply 6.5\u00d730.4=65&#215;304<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37567\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-15.png\" alt=\"\" width=\"120\" height=\"171\" \/><br \/>\n65\u00d7304=19760<br \/>\nPlace the decimal point before 2 digits from the left 197.60 miles<br \/>\n197.6&lt;274 miles<br \/>\nSo, my aunt cannot drive the entire distance without adding more gas to the 6.5 gallons already in the tank.<\/p>\n<p>Question 17.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe equation shows how to convert a temperature C in degrees Celsius to a temperature F in degrees Fahrenheit. Convert the temperature shown to Fahrenheit.<br \/>\n1.8 \u00d7 C + 32 = F<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15867\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-17.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 17\" width=\"316\" height=\"54\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-17.png 316w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-17-300x51.png 300w\" sizes=\"(max-width: 316px) 100vw, 316px\" \/><br \/>\nAnswer:<br \/>\nGiven 1.8\u00d7C+32=F<br \/>\nIn the above picture the temperature is 37.1\u00b0C<br \/>\nTo find degrees in Farenheit<br \/>\nMultiply 1.8 by 37.1 and add 32 to the product.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37568\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-16.png\" alt=\"\" width=\"110\" height=\"177\" \/><br \/>\n1.8\u00d737.1=66.78+32=98.78\u00b0F<br \/>\nTherefore the temperature is 98.78\u00b0Farenheit.<\/p>\n<p>Question 18.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nPennies dated 1982 or later contain about 0.06 gram of copper. Pennies dated prior to 1982 contain about 49.2 times as much copper as newer pennies. How many total grams of copper are in the pennies shown?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15868\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-18.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 18\" width=\"238\" height=\"86\" \/><br \/>\nAnswer:<br \/>\nPennies dated 1982 or later contain about 0.06 gram of copper<br \/>\nThere is 3 pennies which are dated after 1983<br \/>\nMultiply 3\u00d70.06=0.18<br \/>\nPennies dated prior to 1982 contain about 49.2 times as much copper as newer pennies<br \/>\nMultiply 49.2 by the copper in penny dated after 1982 ie 0.06<br \/>\n49.2\u00d70.06=2.952<br \/>\nMultiply 49 by 6 and place the decimal point before 3 digits from the left<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37569\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-17.png\" alt=\"\" width=\"110\" height=\"125\" \/><br \/>\nAdd 0.18 to 2.952 to find the total amount of copper in all the coins<br \/>\n2.952+0.18=3.132 grams<br \/>\nThe total amount of copper in all the coins is 3.132 grams.<\/p>\n<h3><a id=\"Multiply_Decimals_Homework_&amp;_Practice_5.8\"><\/a>Multiply Decimals Homework &amp; Practice 5.8<\/h3>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15869\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-19.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 19\" width=\"73\" height=\"71\" \/><br \/>\nAnswer:<br \/>\n12.8\u00d70.4<br \/>\nMultiply the whole numbers first and place the decimal points<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-37578\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-18.png\" alt=\"\" width=\"120\" height=\"177\" \/><br \/>\n128\u00d74=512<br \/>\nThere are 1 decimal place\u00a0 each in both the factors so the product will have 2 decimal places<br \/>\nPlace the decimal point before two digits from the left 5.12<br \/>\nTherefore 12.8\u00d70.4=512<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15870\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-20.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 20\" width=\"74\" height=\"73\" \/><br \/>\nAnswer:<br \/>\n3.97\u00d762.4<br \/>\nMultiply the whole numbers first and place the decimal point<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37579\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-19.png\" alt=\"\" width=\"120\" height=\"137\" \/><br \/>\n397\u00d7624=247728<br \/>\nThere are 2 decimal places and 1 decimal each in both the factors so the product will have 3 decimal<br \/>\nplaces<br \/>\nPlace the decimal point before three digits from the left 247.728<br \/>\nTherefore 3.97\u00d762.4=247.728<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15871\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-21.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 21\" width=\"64\" height=\"79\" \/><br \/>\nAnswer:<br \/>\n5.2\u00d70.9<br \/>\nMultiply the whole numbers first and place the decimal points<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37580\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-20.png\" alt=\"\" width=\"120\" height=\"160\" \/><br \/>\n52\u00d79=468<br \/>\nThere are 1 decimal place\u00a0 each in both the factors so the product will have 2 decimal places<br \/>\nPlace the decimal point before two digits from the left 4.68<br \/>\nTherefore 5.2\u00d70.9=4.68<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15872\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-22.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 22\" width=\"68\" height=\"72\" \/><br \/>\nAnswer:<br \/>\n18.3\u00d79.27<br \/>\nMultiply the whole numbers first and place the decimal point<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37581\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-21.png\" alt=\"\" width=\"120\" height=\"147\" \/><br \/>\n183\u00d7927=169641<br \/>\nThere are 2 decimal places and 1 decimal each in both the factors so the product will have 3 decimal places<br \/>\nPlace the decimal point before three digits from the left 169.641<br \/>\nTherefore 18.3\u00d79.27=169.641<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15873\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-23.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 23\" width=\"68\" height=\"85\" \/><br \/>\nAnswer:<br \/>\n2.57\u00d74.6<br \/>\nMultiply the whole numbers first and place the decimal point<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37582\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-22.png\" alt=\"\" width=\"120\" height=\"145\" \/><br \/>\n257\u00d746=11822<br \/>\nThere are 2 decimal places and 1 decimal each in both the factors so the product will have 3 decimal places<br \/>\nPlace the decimal point before three digits from the left 11.822<br \/>\nTherefore 2.57\u00d74.6=11.822<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15874\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-24.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 24\" width=\"68\" height=\"74\" \/><br \/>\nAnswer:<br \/>\n22.5&#215;3.7<br \/>\nMultiply the whole numbers first and place the decimal point<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37583\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-23.png\" alt=\"\" width=\"120\" height=\"164\" \/><br \/>\n225&#215;37=8325<br \/>\nThere are 1 decimal place each in both the factors so the product will have 2 decimal places<br \/>\nPlace the decimal point before 2 digits from the left 83.25<br \/>\nTherefore 22.5&#215;3.7=83.25<\/p>\n<p>Question 7.<br \/>\n0.89 \u00d7 0.3 = ______<br \/>\nAnswer:<br \/>\n0.89\u00d70.3<br \/>\nM<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">ultiply the whole numbers first and place the decimal point<br \/>\n<\/span><img loading=\"lazy\" class=\"alignnone size-full wp-image-37584\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-24.png\" alt=\"\" width=\"121\" height=\"170\" \/><br \/>\n89\u00d73=267<br \/>\nThere are 2 decimal places and 1 decimal each in both the factors so the product will have 3 decimal<br \/>\nplaces<br \/>\nPlace the decimal point before three digits from the left 0.269<br \/>\nTherefore 0.89\u00d70.3=0.269<\/p>\n<p>Question 8.<br \/>\n7.1 \u00d7 5.6 = ______<br \/>\nAnswer:<br \/>\n7.1\u00d75.6<br \/>\nMultiply the whole numbers first and place the decimal points<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37585\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-25.png\" alt=\"\" width=\"120\" height=\"168\" \/><br \/>\n71\u00d756=3976<br \/>\nThere are 1 decimal place\u00a0 each in both the factors so the product will have 2 decimal places<br \/>\nPlace the decimal point before two digits from the left 39.76<br \/>\nTherefore 7.1\u00d75.6=39.76<\/p>\n<p>Question 9.<br \/>\n13.63 \u00d7 9.2 = ______<br \/>\nAnswer:<br \/>\n13.63\u00d79.2<br \/>\nMultiply the whole numbers first and place the decimal point<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37586\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-26.png\" alt=\"\" width=\"120\" height=\"120\" \/><br \/>\n1363\u00d792=125396<br \/>\nThere are 2 decimal places and 1 decimal each in both the factors so the product will have 3 decimal<br \/>\nplaces<br \/>\nPlace the decimal point before three digits from the left 125.396<br \/>\nTherefore 13.63\u00d79.2=125.396<\/p>\n<p>Question 10.<br \/>\nThe Miniature pinscher weighs 0.12 times the weight of the Doberman pinscher. How much does the Miniature pinscher weigh?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15875\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-25.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 25\" width=\"227\" height=\"157\" \/><br \/>\nAnswer:<br \/>\nThe Miniature pinscher weighs 0.12 times the weight of the Doberman pinscher<br \/>\nWeight of Doberman pinscher is 32.65 kilograms<br \/>\nMultiply 3265 by 12 and place the decimal point before 4 digits from the left.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37587\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-27.png\" alt=\"\" width=\"120\" height=\"146\" \/><br \/>\nWeight of miniature pinscher is 32.65\u00d70.12=3.918<br \/>\nMiniature pinscher weigh is 3.918 kilograms.<\/p>\n<p>Question 11.<br \/>\n<strong>Reasoning<\/strong><br \/>\nExplain how you can tell which product is greater without multiplying or estimating.<br \/>\n3.75 \u00d7 922 or\u00a0 37.5 \u00d7 9.22<br \/>\nAnswer:<br \/>\nProduct of 3.75 \u00d7 922 is greater because the number contains bigger whole number when compared to the other product.<\/p>\n<p>Question 12.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nNutritionists recommend that fifth-graders should consume about 5 ounces of protein each day. One serving of yogurt contains 0.6 ounce of protein. You eat 2.5 servings of yogurt in 1 day. Do you consume enough protein for the day by eating yogurt? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15876\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-26.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 26\" width=\"86\" height=\"105\" \/><br \/>\nAnswer:<br \/>\nNutritionists recommend that fifth-graders should consume about 5 ounces of protein each day.<br \/>\nOne serving of yogurt contains 0.6 ounce of protein.<br \/>\nIf i eat 2.5 servings of yogurt in 1 day then i consume 2.5\u00d70.6 ounce sof protein per day<br \/>\nMultiply 25 by 6 and place the decimal point 2before 2 digitd from the left<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37589\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-28.png\" alt=\"\" width=\"120\" height=\"159\" \/><br \/>\n2.5\u00d70.6=1.5 ounces of protein<br \/>\nCompare 1.5 with 5<br \/>\n1.5&lt;5<br \/>\nSo, i cannot consume enough protein for the day by eating yogurt.<\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nEach 18-karat gold ring shown is a mixture of gold and other metals. One gram of 18-karat gold contains 0.75 gram of gold. How many total grams of gold are in the rings shown?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15877\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-27.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 5 Multiply Decimals 5.8 27\" width=\"338\" height=\"103\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-27.png 338w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-5-Multiply-Decimals-5.8-27-300x91.png 300w\" sizes=\"(max-width: 338px) 100vw, 338px\" \/><br \/>\nAnswer:<br \/>\nEach 18-karat gold ring shown is a mixture of gold and other metals.<br \/>\nIf one gram of 18-karat gold contains 0.75 gram of gold then<br \/>\nMultiply 18 by 75 and place the decimal point before 3 digits from the left<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37590\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-29.png\" alt=\"\" width=\"120\" height=\"156\" \/><br \/>\n1.8 grams ring contains 1.8\u00d70.75 grams of gold 1.8\u00d70.75=1.35 grams of gold.<br \/>\nMultiply 19 by 75 and place the decimal point before 3 digits from the left<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37591\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-30.png\" alt=\"\" width=\"120\" height=\"164\" \/><br \/>\n1.9 grams ring contains 1.9\u00d70.75 grams of gold 1.9\u00d70.75=1.425 grams of gold<br \/>\nMultiply 21 by 75 and place the decimal point before 3 digits from the left<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37592\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.8-31.png\" alt=\"\" width=\"120\" height=\"164\" \/><br \/>\n2.1 grams ring contains 2.1\u00d70.75 grams of gold 2.1\u00d70.75=1.575 grams of gold<br \/>\nAdd 1.35 , 1.425 and 1.575 to find the total grams of gold 1.35+1.425+1.575=4.35<br \/>\nTotal 4.35\u00a0grams of gold are in the rings shown.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Write the words as an expression. Then interpret the expression.<\/strong><br \/>\nQuestion 14.<br \/>\nSubtract 10 from 50, then divide by 5<br \/>\nAnswer:<br \/>\n8<\/p>\n<p>Explanation:<br \/>\nSubtract 10 from 50=50\u201010=40<br \/>\ndivide by 5=40\u00f75=8<\/p>\n<p>Question 15.<br \/>\nAdd the product of 12 and 6 to the product of 6 and 8.<br \/>\nAnswer:<br \/>\n120<\/p>\n<p>Explanation:<br \/>\nproduct of 12 and 6=12\u00d76=72<br \/>\nproduct of 6 and 8=6\u00d78=48<br \/>\nAdd the product of 12 and 6 to the product of 6 and 8=72+48=120<\/p>\n<h3><a id=\"Lesson_5.9_Problem_Solving:_Multiply_with_Money\"><\/a>Lesson 5.9 Problem Solving: Multiply with Money<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Explain how you would estimate the cost of 1.9 pounds of ham, 0.8 pound of turkey, and 1 pound of cheese.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16032\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.9-1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.9 1\" width=\"298\" height=\"264\" \/><br \/>\nAnswer:<\/p>\n<p>At Descartes&#8217;s Deli the Ham costs $8.90;per pound , Turkey costs $9.80 per pound and Cheese costs $6.70 per pound<br \/>\nEstimated solution<br \/>\nUse rounding<br \/>\nCost of ham is 9, cost of turkey is 10 and cost of cheese is 7 per pound<br \/>\nBy using rounding to find<br \/>\nCost of 2 pounds of ham=2\u00d79=18<br \/>\nCost of 1 pound of turkey=10<br \/>\nCost of 1 pound of cheese=7<br \/>\nTotal =18+10+7=35<br \/>\nOriginal solution<br \/>\nTo find the cost of<br \/>\n1.9 pounds of ham, Multiply 1.9\u00d7$8.9=$16.91<br \/>\n0.8 pound of turkey, Multiply 0.8\u00d7$9.8=$7.84<br \/>\n1 pound of cheese , Multiply 1\u00d7$6.7=$6.7<br \/>\nTherefore Total cost is $16.91+$7.84+$6.7=$31.45.<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nIs your answer an overestimate or an underestimate? Explain.<br \/>\nAnswer:<br \/>\nMy answer is an overestimate as it is more than the actual cost.<\/p>\n<p><strong>Think and Grow: Problem Solving: Multiply with Money<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nCarrots cost $0.90 per pound. You buy 2.6 pounds of carrots and give the cashier $5. How much change do you receive?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16033\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.9-2.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.9 2\" width=\"188\" height=\"132\" \/><br \/>\n<strong>Understand the Problem<\/strong><br \/>\nWhat do you know?<br \/>\n\u2022 Carrots cost $0.90 per pound.<br \/>\n\u2022 You buy 2.6 pounds of carrots.<br \/>\n\u2022 You pay with $5.<\/p>\n<p>What do you need to find?<br \/>\n\u2022 You need to find the amount of change you receive.<\/p>\n<p><strong>Make a Plan<\/strong><br \/>\nHow will you solve?<br \/>\nWrite and solve an equation: Multiply the number of pounds by the cost per pound, and subtract from $5.<\/p>\n<p><strong>Solve<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16034\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.9-3.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.9 3\" width=\"558\" height=\"189\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.9-3.png 558w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.9-3-300x102.png 300w\" sizes=\"(max-width: 558px) 100vw, 558px\" \/><br \/>\nSo, you receive $ ______ in change.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nLandscaping rocks cost $0.35 per pound. A landscaper buys 86.4 pounds of rocks with $40. How much change does she receive?<br \/>\nAnswer:<br \/>\nWhat i know is<br \/>\nCost of landscaping rocks per pound is $0.35<br \/>\nA landscaper buys 86.4 pounds of rocks with $40<br \/>\nWhat i need to find is the change landscaper receives.<br \/>\nThe amount of change landscaper receives =Amount spent \u2010cost of rock per pound \u00d7 86.4 pounds of rock<br \/>\n=($40)\u2010($0.35\u00d786.4)=$40\u2010$30.24=$9.76<br \/>\n$9.76 is the change landscaper receives.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Understand the problem. What do you know? What do you need to find? Explain.<\/strong><br \/>\nQuestion 2.<br \/>\nA gallon of milk cost $0.82 in 1960. In2015, it cost $0.03 more than 4 times the cost in 1960. How much did a gallon of milk cost in 2015?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16035\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.9-4.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.9 4\" width=\"151\" height=\"156\" \/><br \/>\nAnswer:<br \/>\nWhat we know is<br \/>\nThe cost of gallon of milk in 1960 is $0.82<br \/>\nWhat we have find is<br \/>\nThe Cost of gallon of milk in 2015 is<br \/>\n(4\u00d7$0.82)+$0.03=$3.28+$0.03=$3.31<br \/>\nA gallon of milk cost in 2015 is $3.31<\/p>\n<p>Question 3.<br \/>\nA secretary earns $10.75 each hour. He works 8 hours each day,5 days each week. How much money does he earn in 1 week?<br \/>\nAnswer:<br \/>\nWhat we know is<br \/>\nA secretary earns $10.75 each hour, he works 8 hours each day,5 days each week<br \/>\nWhat we have to find is<br \/>\nThe amount he earns in a weekIf he works 8 hours each day and 5 days a week then he works for 40 hours in a week<br \/>\nThe amount he earns in a week =Amount he earns per hour \u00d7 Number of hours he work in a week.<br \/>\n=$10.75\u00d740=$430<br \/>\nThe money he earn in 1 week is $430.<\/p>\n<p><strong>Understand the problem. Then make a plan. How will you solve? Explain.<\/strong><br \/>\nQuestion 4.<br \/>\nYou download 8 songs for $1.29 each and 1 song for $0.99. How much do you pay for all of the songs?<br \/>\nAnswer:<br \/>\nIf i download 8 songs for $1.29 each then the money for 8 songs is number of songs multiplied by charges per<br \/>\nsong<br \/>\nIe 8\u00d7$1.29=$10.32<br \/>\nIf i download another song for $0.99 then total charges i spent is charges of 8 songs plus charges of 1 song<br \/>\n$10.32+$0.99=$11.31<br \/>\nTherefore i pay $11.31 for all the songs.<\/p>\n<p>Question 5.<br \/>\nYour friend buys a snack for $2.75, and a book that costs 5 times as much as the snack. He also buys a poster that costs $3.50 less than the book. How much does the poster cost?<br \/>\nAnswer:<br \/>\nCost of snack is $2.75<br \/>\nBook costs 5 times as much as the snack<br \/>\nThe cost of book = 5\u00d7cost of snack<br \/>\n=5\u00d7$2.75=13.75<br \/>\nposter costs $3.50 less than the book<br \/>\nThe cost of the poster = cost of book\u2010$3.50<br \/>\n=$13.75\u20103.50=$10.25<br \/>\nTherefore cost of the poster is $10.25<\/p>\n<p>Question 6.<\/p>\n<p>A pair of shoes costs $35. Newton has a coupon topay 0.8 of the price.Descartes has a $10 off coupon. Who will pay more for the shoes?<br \/>\nAnswer:<br \/>\nA pair of shoes costs $35<br \/>\nNewton has a coupon topay 0.8 of the price<br \/>\n=0.8\u00d7$35=28<br \/>\nNewton pays $28<br \/>\nDescartes has a $10 off coupon<br \/>\n=$35\u2010$10=$25<br \/>\nDescartes pay $25<br \/>\n28&gt;25 so, Newton pays more for the pair of shoes.<\/p>\n<p>Question 7.<br \/>\nTwo friends eat at a restaurant for $34. They calculate the tip by multiplying $34 by 0.18. How much do they pay for the meal, including the tip?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16036\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.9-5.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.9 5\" width=\"135\" height=\"153\" \/><br \/>\nAnswer:<br \/>\nTwo friends eat at a restaurant for $34<br \/>\nIf they calculate the tip by multiplying $34 by 0.18<br \/>\nAmount of tip =0.18\u00d7$34=$6.12<br \/>\nThe money they pay for the meal, including the tip =$34+$6.12=$40.12<br \/>\nTherefore the money they paid is $40.12.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA traveler gives a cashier 100 U.S. dollars to exchange for European euros. A $7.50 service fee is deducted from the amount given. How many European euros does the traveler receive?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16037\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.9-6.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.9 6\" width=\"255\" height=\"126\" \/><br \/>\nThink: What do you know? What do you need to find? How will you solve?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16038\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.9-7.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.9 7\" width=\"617\" height=\"283\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.9-7.png 617w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.9-7-300x138.png 300w\" sizes=\"(max-width: 617px) 100vw, 617px\" \/><\/p>\n<p>Answer:<br \/>\nm = (100 &#8211; 7.5) \u00d7 0.86<br \/>\n92.5 \u00d7 0.86<br \/>\n= 79.55<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Use the table above.<\/strong><br \/>\nQuestion 8.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou need 50 Canadian dollars. You give a cashier 50 U.S. dollars to exchange for Canadian dollars. A $9.50 service fee is deducted from the amount given. Do you have enough Canadian dollars? Explain.<br \/>\nAnswer:<br \/>\nI need 50 canadian dollars<br \/>\nI gave 50 U.S. dollars for exchange and the service fee is $9.50<br \/>\nExchange rate for US dollar to canadian dollar is 1.28<br \/>\nSo, 50 US dollars \u00d71.28=64 canadian dollars<br \/>\n64&gt;50<br \/>\nTherefore i have enough Canadian dollars.<\/p>\n<p>Question 9.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nIn the example, the traveler decides to exchange the same number of U.S. dollars for British pounds. Without calculating, determine whether the traveler receives more European euros or British pounds. Explain.<br \/>\nAnswer:<br \/>\nThe traveler receives more European euros because the exchange rate of European euros ia more than the<br \/>\nexchange rate of British pounds.<\/p>\n<h3><a id=\"Problem_Solving:_Multiply_with_Money_Homework_&amp;_Practice_5.9\"><\/a>Problem Solving: Multiply with Money Homework &amp; Practice 5.9<\/h3>\n<p><strong>Understand the problem. Then make a plan. How will you solve? Explain.<\/strong><br \/>\nQuestion 1.<br \/>\nOne gallon of gasoline costs $2.75. Your cousin fills his car with 10 gallons of gasoline each week. How much money does he spend on gasoline in 1 year?<br \/>\nAnswer:<br \/>\nOne gallon of gasoline costs $2.75<br \/>\nMy friend fills his car with 10 gallons of gasoline each week<br \/>\nWe have to find the money he spend on gasoline for a year.<br \/>\nAn year consists of 52 weeks<br \/>\nSo, multiply 52 by 10 to find number of gallons used in a year<br \/>\n52\u00d710=520<br \/>\nIf Cost of a gallon of gasoline is $2.75 then cost of 52p gallons is $2.75\u00d7520=$1430<br \/>\n$1430 is the money spend by my cousin on gasoline in 1 year.<\/p>\n<p>Question 2.<br \/>\nNewton buys a guitar for $46 and a guitar amplifier. The amplifier costs $1.54 more than 1.26 times the cost of the guitar. How much does the amplifier cost?<br \/>\nAnswer:<br \/>\nCost of guitar is $46<br \/>\nThe amplifier costs $1.54 more than 1.26 times the cost of the guitar<br \/>\nCost of amplifier = ($46\u00d71.26)+$1.54<br \/>\n=$57.96+$1.54<br \/>\n$59.5<br \/>\nTherefore the amplifier costs $59.5.<\/p>\n<p>Question 3.<br \/>\nOne pound of cheese costs $3.98. You buy a box of crackers for $3.37 and 2.5 pounds of cheese. How much do you spend in all?<br \/>\nAnswer:<br \/>\nOne pound of cheese costs $3.98<br \/>\nCost of 2.5 pounds of cheese =2.25\u00d7$3.98=$8.955<br \/>\nIf i\u00a0 buy a box of crackers for $3.37 and 2.5 pounds of cheese<br \/>\nThe money is spent =$3.37+$8.955=$12.325<br \/>\n$12.325 is the money i spend in all.<br \/>\nQuestion 4.<\/p>\n<p><strong>Writing<\/strong><br \/>\nWrite and solve a two-step word problem involving money.<br \/>\nAnswer:<br \/>\nA boy buys a toy car for $3 and also a toy bike for 2.4 times as much as the cost of the toy car. Find the money spend by the boy in all.<br \/>\nSolution:<br \/>\nThe cost of toy car is $3<br \/>\nCost of toy bike is 2.4 \u00d7 cost of toy car<br \/>\n=2.4\u00d7$3=$7.2<br \/>\nAdd cost of toy car and toy bike =$3+$7.2=$10.2<br \/>\nThe money spent by the boy in all is $10.2<\/p>\n<p>Question 5.<strong>Modeling Real Life<\/strong><br \/>\nYou buy 2.75 pounds of pistachios and 2 pounds of cashews. Do you pay more for the pistachios or for the cashews? How much more?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16039\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-5-Multiply-Decimals-5.9-8.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 5 Multiply Decimals 5.9 8\" width=\"193\" height=\"99\" \/><br \/>\nAnswer:<br \/>\nCost of pistachios per pound is $6.60<br \/>\nIf i buy 2.75 pounds of pistachios then the money spend is 2.75\u00d7$6.60=$18.15<br \/>\nCost of cashews per pound is $8.66<br \/>\nIf i buy 2 pounds of cashews then the money spend is 2\u00d7$8.66=$17.32<br \/>\n18.15&gt;17.32<br \/>\nSo, i pay more for the pistachios.<\/p>\n<p>Question 6.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou, Newton, and Descartes sell items at a craft show. You earn $34.50. Newton earns 5 times as much as you do. Descartes earns 0.1 times as much as Newton does. How much do the three of you earn in all?<br \/>\nAnswer:<br \/>\nYou, Newton, and Descartes sell items at a craft show<br \/>\nMoney i earned is $34.50<br \/>\nNewton earns 5 times as much as i do<br \/>\nMoney earned by Newton is 5\u00d7$34.50=$172.5<br \/>\nDescartes earns 0.1 times as much as Newton does<br \/>\nMoney earned by descartes is 0.1\u00d7$172.5=$17.25<br \/>\nSum of $34.5, $172.5 and $17.25 is 224.25.<br \/>\n$22425 is the money the three earn in all.<\/p>\n<p>Question 7.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA daycare employee earns $10.90 per hour for the first works in 1 week. He is paid 1.5 times that rate for each additional hour that he works. How much money does he earn working for 43 hours in 1 week?<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nA daycare employee earns $10.90 per hour for the first works in 1 week.<br \/>\nHe is paid 1.5 times that rate for each additional hour that he works.<br \/>\n10.90 \u00d7 1.5 = 16.35<br \/>\n16.35 \u00d7 43 = 703.05<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the sum. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 8.<br \/>\n24.93 + 3.86 = ______<br \/>\nAnswer:<br \/>\n24.93 + 3.86 = 28.79<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37595\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.9-1.png\" alt=\"\" width=\"120\" height=\"101\" \/><\/p>\n<p>Question 9.<br \/>\n105.6 + 37.1 = _____<br \/>\nAnswer:<br \/>\n105.6 + 37.1 = 142.7<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37596\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.9-2.png\" alt=\"\" width=\"120\" height=\"109\" \/><\/p>\n<h3><a id=\"Multiply_Decimals_Performance_Task\"><\/a>Multiply Decimals Performance Task<\/h3>\n<p>You study the different parts of a corn plant in science class.<br \/>\nQuestion 1.<br \/>\nYou have a corn root sample and a corn stem sample on microscope slides. When you view the samples through a microscope, the magnification number tells you how many times larger the image will be than the actual size.You see only a portion of the enlarged image.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16040\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 1\" width=\"202\" height=\"196\" \/><br \/>\na. The corn root sample is 0.6 millimeter wide. You magnify the image by400. What is the width of the magnifiedCorn root corn root image?<\/p>\n<p>b. You magnify the corn root sample by1,200. How much wider is the image when magnified by 1,200 than by 400?<\/p>\n<p>c. You have a sample of a corn stem. The corn stem sample is 9.6 times wider than the corn root sample. What is the width of the corn stem sample?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16041\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-2.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 2\" width=\"182\" height=\"137\" \/><br \/>\nAnswer:<\/p>\n<p>a.The corn root sample is 0.6 millimeter wide<br \/>\nIf i\u00a0 magnify the image by 400 then the magnifird width =0.6\u00d7400=240 millimeters.<\/p>\n<p>b.The corn root sample is 0.6 millimeter wide<br \/>\nIf i\u00a0 magnify the image by 1200 then the magnifird width =0.6\u00d71200=720 millimeters<br \/>\nSubtract 240 millimeters from 720 millimeters<br \/>\n480 millimeters wider is the image when magnified by 1,200 than by 400.<\/p>\n<p>c.Given that the corn stem sample is 9.6 times wider than the corn root sample<br \/>\nThe corn root sample is 0.6 millimeter wide<br \/>\nWidth of corn stem =9.6 \u00d7 width of corn root<br \/>\n=9.6\u00d70.6=5.76 millimeters.<\/p>\n<p>Question 3.<br \/>\nAn ear of corn has about 16 rows of kernels. Each row has about 50 kernels of corn.<br \/>\na. About 0.2 of the kernels are white and the rest are yellow. How many kernels are yellow?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16042\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-3.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 3\" width=\"102\" height=\"175\" \/><br \/>\nb. Each ear of corn has about 0.25 pound of corn kernels. How many pounds of kernels are in a dozen ears of corn?<br \/>\nAnswer:<\/p>\n<p>a.An ear of corn contains 16\u00d750=800kernels of corn<br \/>\n0.2 of corn are white 0.2\u00d7800=160<br \/>\nSubtract 160 from total number\u00a0 of kernels of corn =800\u2010160=640<br \/>\nTherefore number of yellow kernels of corn are 640.<\/p>\n<p>b.Each ear of corn has about 0.25 pound of corn kernels.<br \/>\nDozen corn ears contains 12\u00d70.25 =3 pounds of corn kernels<br \/>\n3 pounds of kernels are in a dozen ears of corn.<\/p>\n<p>Question 3.<br \/>\nYou measure the growth of a corn stalk. The corn stalk grows about 1.75 inches each day.About how many inches does the plant growin 1 month? Justify your answer.<br \/>\nAnswer:<br \/>\nThe corn stalk grows about 1.75 inches each day.<br \/>\nIf there are 30 days in a month then the length of corn stalk after month is 1.75 inches \u00d730=52.5 inches<br \/>\nTherefore, the plant grow 52.5 inches in 1 month.<\/p>\n<h3><a id=\"Multiply_Decimals_Activity\"><\/a>Multiply Decimals Activity<\/h3>\n<p><strong>Race Around the world: Multiplication<\/strong><br \/>\n<strong>Directions:<\/strong><br \/>\n1. Players take turns.<br \/>\n2. On your turn, flip a RaceAround the World: Multiplication Card and find the product.<br \/>\n3. Move your piece to the next number on the board that is highlighted in the product.<br \/>\n4. The first player to make it back to North America wins!<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16043\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-4.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals 4\" width=\"690\" height=\"695\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-4.png 690w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-4-298x300.png 298w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-4-150x150.png 150w\" sizes=\"(max-width: 690px) 100vw, 690px\" \/><\/p>\n<h3><a id=\"Multiply_Decimals_Chapter_Practice\"><\/a>Multiply Decimals Chapter Practice<\/h3>\n<p><strong>5.1 Multiplication Patterns with Decimals<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 1.<br \/>\n0.9 \u00d710<sup>3<\/sup> = ______<br \/>\nAnswer:<br \/>\n0.9\u00d710<sup>3<\/sup> =900<\/p>\n<p>Explanation:<br \/>\n0.9&#215;1=0.9<br \/>\n0.9&#215;10=9<br \/>\n0.9&#215;100=90<br \/>\n0.9&#215;1000=900<br \/>\nSo, 0.9\u00d710<sup>3<\/sup> =900<br \/>\nWhen we multiply 0.9 by 1000 the number of places of decimal point moves to the right is same as the exponent ie 3.<\/p>\n<p>Question 2.<br \/>\n612.5 \u00d7 0.1 2 = ______<br \/>\nAnswer:<br \/>\n612.5 \u00d7 0.1 2 =73.5<br \/>\nMultiply 6125 by 12 and place the decimal places before three places from the left.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37598\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-.png\" alt=\"\" width=\"120\" height=\"143\" \/><br \/>\nSo, 612.5&#215;0.12=73.5<\/p>\n<p>Question 3.<br \/>\n30.1 \u00d7 10<sup>2<\/sup> = _____<br \/>\nAnswer:<br \/>\n30.1\u00d7100=3010<\/p>\n<p>Explanation:<br \/>\n30.1&#215;1=30.1<br \/>\n30.1&#215;10=301<br \/>\n30.1&#215;100=3010<br \/>\nWhen we multiply 30.1 by 100 the number of places of decimal point moves to the right is same as the exponent ie 2.<br \/>\nSo, 30.1&#215;100=3010.<\/p>\n<p>Question 4.<br \/>\n45.7 \u00d7 0.01 = ______<br \/>\nAnswer:<br \/>\n45.7\u00d70.01=0.457<\/p>\n<p>Explanation:<br \/>\n45.7&#215;1=45.7<br \/>\n45.7&#215;0.1=4.57<br \/>\n45.7&#215;0.01=0.457<br \/>\nWhen we multiply 45.7 by 0.01 the decimal point moves\u00a0<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">two place<\/span><span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">s to the<\/span><span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">\u00a0left<\/span><br \/>\nSo, 45.7\u00d70.01=0.457<\/p>\n<p>Question 5.<br \/>\n8.6 \u00d7 10 = ______<br \/>\nAnswer:<br \/>\n8.6\u00d710=86<\/p>\n<p>Explanation:<br \/>\n8.6&#215;1=8.6<br \/>\n8.6&#215;10=86<br \/>\nWhen we multiply 8.6 by 10 the decimal point moves 1 place to the right.<br \/>\nSo, 8.6&#215;10=86<\/p>\n<p>Question 6.<br \/>\n5.24 \u00d7 0.1 = _______<br \/>\nAnswer:<br \/>\n5.24\u00d70.1=0.524<\/p>\n<p>Explanation:<br \/>\n5.24&#215;1=5.24<br \/>\n5.24&#215;0.1=0.524<br \/>\nWhen we multiply 5.24 by 0.1 the decimal point moves <span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">one place<\/span><span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">s to the<\/span><span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">\u00a0left<\/span><br \/>\nSo, 5.24&#215;0.1=0.524<\/p>\n<p><strong>5.2 Estimate Products of Decimals and Whole Numbers<\/strong><\/p>\n<p><strong>Estimate the product.<\/strong><br \/>\nQuestion 7<br \/>\n0.99 \u00d7 45<br \/>\nAnswer:<br \/>\nUse Rounding<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37602\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.9-3.png\" alt=\"\" width=\"131\" height=\"124\" \/><br \/>\n1\u00d745=45<br \/>\n0.99\u00d745 is about 45<\/p>\n<p>Question 8.<br \/>\n3.15 \u00d7 8<br \/>\nAnswer:<br \/>\nUse Rounding<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37603\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.9-5.png\" alt=\"\" width=\"124\" height=\"119\" \/><br \/>\n3\u00d78=24<br \/>\n3.15\u00d78 is about 24<\/p>\n<p>Question 9.<br \/>\n17 \u00d7 1.68<br \/>\nAnswer:<br \/>\nUse Rounding<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37604\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.9-6.png\" alt=\"\" width=\"115\" height=\"122\" \/><br \/>\n17\u00d72=34<br \/>\n17\u00d71.68 is about 34<\/p>\n<p>Question 10.<br \/>\n95 \u00d7 5.02<br \/>\nAnswer:<br \/>\nUse Rounding<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37605\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.9-7.png\" alt=\"\" width=\"109\" height=\"129\" \/><br \/>\n95\u00d75=475<br \/>\n95\u00d75.02\u00a0 is about 475<\/p>\n<p><strong>5.3 Use Models to Multiply Decimals and Whole Numbers<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 11.<br \/>\n0.3 \u00d7 3 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16044\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-chp-11.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals chp 11\" width=\"145\" height=\"148\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34468\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-22-e1611573525314.png\" alt=\"\" width=\"190\" height=\"199\" \/><br \/>\n0.3+0.3+0.3 =0.9<br \/>\nTherefore 0.3\u00d73=0.9<\/p>\n<p>Question 12..<br \/>\n0.17 \u00d7 8 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16045\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-chp-12.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals chp 12\" width=\"285\" height=\"151\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34467\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-21-e1611573275799.png\" alt=\"\" width=\"220\" height=\"121\" \/><br \/>\n0.17+0.17+0.17+0.17+0.17+0.17+0.17+0.17=1.36<br \/>\nQuestion 13.<br \/>\n<strong>Structure<\/strong><br \/>\nWrite an equation represented by the model.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16046\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-chp-13.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals chp 13\" width=\"439\" height=\"148\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-chp-13.png 439w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-chp-13-300x101.png 300w\" sizes=\"(max-width: 439px) 100vw, 439px\" \/><br \/>\nAnswer:<br \/>\n0.29\u00d78=2.32<\/p>\n<p><strong>5.4 Multiply Decimals and Whole Numbers<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 14.<br \/>\n3 \u00d7 1.64 = ______<br \/>\nAnswer:<br \/>\n3\u00d71.64=3\u00d7164<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37610\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.9-8.png\" alt=\"\" width=\"120\" height=\"156\" \/><br \/>\n=492<br \/>\nPlace the decimal point before 2 places from the left<br \/>\n4.92<br \/>\nTherefore 3 \u00d7 1.64 =4.92<\/p>\n<p><span style=\"font-size: 16px;\">Question 15.<\/span><\/p>\n<p>2.3 \u00d7 8 = ______<br \/>\nAnswer:<br \/>\n2.3\u00d78=23\u00d78<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37609\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.9-9.png\" alt=\"\" width=\"120\" height=\"165\" \/><br \/>\n=184<br \/>\nPlace the decimal point before 1 place from the left<br \/>\n18.4<br \/>\nTherefore 2.3\u00d78=18.4<\/p>\n<p>Question 16.<br \/>\n9 \u00d7 10.7 = ______<br \/>\nAnswer:<br \/>\n9\u00d710.7=9\u00d7107<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37608\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.9-10.png\" alt=\"\" width=\"120\" height=\"165\" \/><br \/>\n=963<br \/>\nPlace the decimal point before 1 place from the left<br \/>\n96.3<br \/>\nTherefore 9\u00d710.7=96.3<\/p>\n<p>Question 17.<br \/>\n18.65 \u00d7 6 = _____<br \/>\nAnswer:<br \/>\n18.65\u00d76=1865\u00d76<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37607\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-lesson5.9-11.png\" alt=\"\" width=\"120\" height=\"111\" \/><br \/>\n=11190<br \/>\nPlace the decimal point before 2 places from the left<br \/>\n111.90<br \/>\nTherefore 18.65\u00d76=111.90<\/p>\n<p><strong>5.5 Use Models to Multiply Decimals<\/strong><\/p>\n<p><strong>Use the Models to find the product.<\/strong><br \/>\nQuestion 18.<br \/>\n0.5 \u00d7 0.6 = ______<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16047\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-chp-18.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals chp 18\" width=\"148\" height=\"147\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34478\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-23-e1611574011791.png\" alt=\"\" width=\"190\" height=\"228\" \/><br \/>\nShade 5 rows to represent 0.5 and 6 column to represent 0.6<br \/>\n30 squares are shaded twice<br \/>\nSo, 0.5\u00d70.6=0.30<\/p>\n<p>Question 19.<br \/>\n1.8 \u00d7 0.9 = _____<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16048\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-chp-19.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals chp 19\" width=\"272\" height=\"139\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-34486\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Screenshot-25-e1611575082430.png\" alt=\"\" width=\"200\" height=\"126\" \/><br \/>\nShade 9 rows to represent 0.9 and 18 columns to represent 1.8<br \/>\n162 squares are shaded twice<br \/>\nSo, 1.8 \u00d7 0.9= 1.62<\/p>\n<p><strong>5.6 Use Partial Products to Multiply Decimals<\/strong><\/p>\n<p><strong>Find the product. Check whether your answer is reasonable.<\/strong><br \/>\nQuestion 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16049\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-chp-20.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals chp 20\" width=\"129\" height=\"179\" \/><br \/>\nAnswer:<br \/>\nStep 1:0.1\u00d70.3=0.03<br \/>\nStep 2:0.1\u00d72=0.2<br \/>\nStep 3:8\u00d70.3=2.4<br \/>\nStep 4:8\u00d72=16<br \/>\nAdd 0.03+0.2+2.4+16=18.63<\/p>\n<p>Question 21.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16050\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-chp-21.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals chp 21\" width=\"137\" height=\"185\" \/><br \/>\nAnswer:Step 1:0.2\u00d70.5=0.10<\/p>\n<p>Step 2:<br \/>\n.2\u00d79=1.8<br \/>\nStep 3:4\u00d70.5=2<br \/>\nStep 4:4\u00d79=36<br \/>\nAdd 0.10+1.8+2+36=39.9<\/p>\n<p>Question 22.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16051\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-chp-22.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals chp 22\" width=\"138\" height=\"187\" \/><br \/>\nAnswer:<br \/>\nStep1:0.6\u00d70.8=0.48<br \/>\nStep2:0.6\u00d76=3.6<br \/>\nStep3:7\u00d70.8=5.6<br \/>\nStep4:7\u00d76=42<br \/>\nAdd 0.48+3.6+5.6+42=51.68<\/p>\n<p>7.6\u00d76.8=51.68<\/p>\n<p>Question 23.<br \/>\n0.7 \u00d7 6.5 = ______<br \/>\nAnswer:<br \/>\nStep1:0.7\u00d70.5=0.35<br \/>\nStep2:0.7\u00d76=4.2<br \/>\nStep3:0\u00d70.5=0<br \/>\nStep4:0\u00d76=0<br \/>\nAdd 0.35+4.2=4.55<\/p>\n<p>Therefore 0.7\u00d76.5=4.55<\/p>\n<p>Question 24.<br \/>\n25.6 \u00d7 16.9 = ______<br \/>\nAnswer:<br \/>\nStep1:0.6\u00d70.9=0.54<br \/>\nstep2:0.6\u00d716=9.6<br \/>\nStep3:25\u00d70.9=22.5<br \/>\nStep4:25\u00d716=400<br \/>\nAdd 0.54+9.6+22.5+400=432.64<br \/>\nTherefore 25.6\u00d716.9=432.64<\/p>\n<p>Question 25.<br \/>\n2.5 \u00d7 6.81 = _____<br \/>\nAnswer:<br \/>\nStep1:0.5\u00d70.81=0.405<br \/>\nStep2:0.5\u00d76=3<br \/>\nStep3:2\u00d70.81=1.62<br \/>\nStep4:2\u00d76=12<br \/>\nAdd 0.405+3+1.62+12=17.025<br \/>\nTherefore 2.5\u00d76.81=17.025<\/p>\n<p><strong>5.7 Use Strategies to Multiply Decimals<\/strong><\/p>\n<p><strong>Find the product. Explain the strategy you used.<\/strong><br \/>\nQuestion 26.<br \/>\n0.4 \u00d7 0.16 = ______<br \/>\nAnswer:<br \/>\nEstimate<br \/>\n4\u00d716<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37616\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-1.png\" alt=\"\" width=\"127\" height=\"198\" \/><br \/>\n=64 place the decimal point before three places from the left<br \/>\n0.064<br \/>\nTherefore 0.4\u00d70.16=0.064<\/p>\n<p>Question 27.<br \/>\n0.2 \u00d7 0.8 = _______<br \/>\nAnswer:<br \/>\nEstimate<br \/>\n2\u00d78=16 and place the decimal point before two places from the left<br \/>\n0.16<br \/>\nTherefore 0.2\u00d70.6=0.16<\/p>\n<p>Question 28.<br \/>\n2.5 \u00d7 0.3 = ______<br \/>\nAnswer:<br \/>\nEstimate<br \/>\n25\u00d73<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37615\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-2.png\" alt=\"\" width=\"122\" height=\"202\" \/><br \/>\n=74 and place the decimal point before two places from the left<br \/>\n0.74<br \/>\nTherefore 2.5\u00d70.3=0.74<\/p>\n<p>Question 29.<br \/>\n<strong>Structure<\/strong><br \/>\nYour friend multiplies two decimals by rewriting the product as (8 \u00d7 3) \u00d7 (0.1 \u00d7 0.1). What two decimals is she multiplying?<br \/>\nAnswer:<br \/>\n(8\u00d73)\u00d7(0.1\u00d70.1)<br \/>\n(8\u00d70.1)\u00d7(3\u00d70.1)<br \/>\n0.8\u00d70.3<br \/>\nThe two decimals she is multiplying are 0.8 and 0.3<\/p>\n<p><strong>5.8 Multiply Decimals<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 30.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16052\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-chp-30.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals chp 30\" width=\"63\" height=\"71\" \/><br \/>\nAnswer:<br \/>\nMultiply 58 by 3 and place the decimal point<br \/>\n58\u00d73<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37614\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-3.png\" alt=\"\" width=\"120\" height=\"148\" \/><br \/>\n=174<br \/>\nPlace the decimal point before two places from the left.<br \/>\n1.74<br \/>\nTherefore 5.8\u00d70.3=1.74<\/p>\n<p>Question 31.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16053\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-chp-31.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals chp 31\" width=\"86\" height=\"70\" \/><br \/>\nAnswer:<br \/>\nMultiply 722 by 16 and place the decimal point<br \/>\n722\u00d716<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37613\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-4.png\" alt=\"\" width=\"125\" height=\"137\" \/><br \/>\n=11552<br \/>\nPlace the decimal point before three places from the left<br \/>\n11.552<br \/>\nTherefore 7.22\u00d71.6=11.552<\/p>\n<p>Question 32.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16054\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-chp-32.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals chp 32\" width=\"67\" height=\"89\" \/><br \/>\nAnswer:<br \/>\nMultiply 408 by 95 and place the decimal point<br \/>\n408\u00d795<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37612\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-ideas-math-grade5-chapter5-multiply-decimals-5.png\" alt=\"\" width=\"125\" height=\"140\" \/><br \/>\n=38760<br \/>\nPlace the decimal point before two places from the left<br \/>\n387.60<br \/>\nTherefore 40.8\u00d79.5=387.60<\/p>\n<p><strong>5.9 Problem Solving: Multiply with Money<\/strong><\/p>\n<p>Question 33.<br \/>\nYour friend buys 4 glow sticks for $0.99 each. She pays with a $10 bill. How much change does she receive?<br \/>\nAnswer:<br \/>\nMy friend buys 4 glow sticks for $0.99 each<br \/>\nTotal cost =4\u00d7$0.99=$3.96<br \/>\nSubtract cost from $10<br \/>\n$10\u2010$3.96=$6.04<br \/>\nchange she receives is $6.04<\/p>\n<p>Question 34.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nDescartes parks in the parking garage for 3 hours on Monday, 5 hours on Tuesday, and 10 hours on Wednesday. How much does he pay altogether?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-16055\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-5-Multiply-Decimals-chp-34.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 5 Multiply Decimals chp 34\" width=\"133\" height=\"271\" \/><br \/>\nAnswer:<br \/>\nDescartes parks in the parking garage for 3 hours on Monday, 5 hours on Tuesday, and 10 hours on Wednesday.<br \/>\nparking garage rates are $4.50 per hour and $10.00 for more than 8 hours<br \/>\ncharges on monday =3hoursx$4.50=$13.5<br \/>\ncharges on tuesday =5hoursx$4.5=$22.5<br \/>\non wednesday deacartes parks his car for more than 8 hours so, charges on wednesday are $10<br \/>\nAdd 13.5+22.5+10=$46<br \/>\nTherefore Descartes pay $46 altogether.<\/p>\n<p><em>Conclusion:<\/em><\/p>\n<p>Take the help from the direct links available below and solve the problems covered in Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals. Test your knowledge by solving the questions given at the end of the chapter. If you have any doubts regarding the concepts post the comments in the below attached comment box.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What are you searching for? If you are really on the hunt for the best source to learn the Multiply Decimals concept, then refer to Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals. Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals is the one-stop solution for better learning. All types of &#8230; <a title=\"Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5-chapter-5\/\" aria-label=\"More on Big Ideas Math Answers Grade 5 Chapter 5 Multiply Decimals\">Read more<\/a><\/p>\n","protected":false},"author":9,"featured_media":89706,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[4],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-5-Multiply-Decimals.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/15738"}],"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\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=15738"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/15738\/revisions"}],"predecessor-version":[{"id":90248,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/15738\/revisions\/90248"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/89706"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=15738"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=15738"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=15738"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}