{"id":15393,"date":"2022-04-05T10:02:50","date_gmt":"2022-04-05T04:32:50","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=15393"},"modified":"2022-04-07T11:06:38","modified_gmt":"2022-04-07T05:36:38","slug":"big-ideas-math-answers-grade-5-chapter-11","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5-chapter-11\/","title":{"rendered":"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure"},"content":{"rendered":"<p><strong>Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure<\/strong> is given here in a comprehensive manner to help the students for better understanding. Must solve every problem given on the Big Ideas Math Answers Chapter 11 Convert and Display Units of Measure Grade 5. You will become perfect as you practice as many questions as you practice. Practice the problems and cross-check the answer to know your preparation level. If you feel any topic difficult, then concentrate more on those topics. Every topic is important to get a good score in the exam. Download <a href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5\/\">Big Ideas Math Answers Grade 5<\/a> Chapter 11 Convert and Display Units of Measure PDF without any cost.<\/p>\n<h2>Big Ideas Math Book 5th Grade Chapter 11 Convert and Display Units of Measure Answer Key<\/h2>\n<p>The list of concepts covered mainly in Convert and Display Measure are Mass and Capacity in Metric Units, Length in Metric Units, Weight in Customary Units, Length in Customary Units, Capacity in Customary Units, etc. Don&#8217;t skip any of the topics from the given chapter. Completely get free access to<strong> Big Ideas Math Book 5th Grade Answer Key Chapter 11 Convert and Display Units of Measure PDF.<\/strong> Below attached links help you to find every individual topic.<\/p>\n<p><strong>Lesson: 1 Length in Metric Units<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_11.1_Length_in_Metric_Units\">Lesson 11.1 Length in Metric Units<\/a><\/li>\n<li><a href=\"#Length_in_Metric_Units_Homework_&amp;_Practice_11.1\">Length in Metric Units Homework &amp; Practice 11.1<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 2 Mass and Capacity in Metric Units<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_11.2_Mass_and_Capacity_in_Metric_Units\">Lesson 11.2 Mass and Capacity in Metric Units<\/a><\/li>\n<li><a href=\"#Mass_and_Capacity_in_Metric_Units_Homework_&amp;_Practice_11.2\">Mass and Capacity in Metric Units Homework &amp; Practice 11.2<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 3 Length in Customary Units<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_11.3_Length_in_Customary_Units\">Lesson 11.3 Length in Customary Units<\/a><\/li>\n<li><a href=\"#Length_in_Customary_Units_Homework_&amp;_Practice_11.3\">Length in Customary Units Homework &amp; Practice 11.3<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 4 Weight in Customary Units<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_11.4_Weight_in_Customary_Units\">Lesson 11.4 Weight in Customary Units<\/a><\/li>\n<li><a href=\"#Weight_in_Customary_Units_Homework_&amp;_Practice_11.4\">Weight in Customary Units Homework &amp; Practice 11.4<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 5 Capacity in Customary Units<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_11.5_Capacity_in_Customary_Units\">Lesson 11.5 Capacity in Customary Units<\/a><\/li>\n<li><a href=\"#Capacity_in_Customary_Units_Homework_&amp;_Practice_11.5\">Capacity in Customary Units Homework &amp; Practice 11.5<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 6 Make and Interpret Line Plots<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_11.6_Make_and_Interpret_Line_Plots\">Lesson 11.6 Make and Interpret Line Plots<\/a><\/li>\n<li><a href=\"#Make_and_Interpret_Line_Plots_Homework_&amp;_Practice_11.6\">Make and Interpret Line Plots Homework &amp; Practice 11.6<\/a><\/li>\n<\/ul>\n<p><strong>Lesson: 7 Problem Solving: Measurement<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_11.7_Problem_Solving:_Measurement\">Lesson 11.7 Problem Solving: Measurement<\/a><\/li>\n<li><a href=\"#Problem_Solving:_Measurement_Homework_&amp;_Practice_11.7\">Problem Solving: Measurement Homework &amp; Practice 11.7<\/a><\/li>\n<\/ul>\n<p><strong>Chapter &#8211; 11: Convert and Display Units of Measure<\/strong><\/p>\n<ul>\n<li><a href=\"#Convert_and_Display_Units_of_Measure_Performance_Task_11\">Convert and Display Units of Measure Performance Task 11<\/a><\/li>\n<li><a href=\"#Convert_and_Display_Units_of_Measure_Activity\">Convert and Display Units of Measure Activity<\/a><\/li>\n<li><a href=\"#Convert_and_Display_Units_of_Measure_Chapter_Practice\">Convert and Display Units of Measure Chapter Practice<\/a><\/li>\n<li><a href=\"#Convert_and_Display_Units_of_Measure_Practice_1-11\">Convert and Display Units of Measure Practice 1-11<\/a><\/li>\n<li><a href=\"#Convert_and_Display_Units_of_Measure_STEAM_Performance_Task\">Convert and Display Units of Measure STEAM Performance Task<\/a><\/li>\n<\/ul>\n<h3><a id=\"Lesson_11.1_Length_in_Metric_Units\"><\/a>Lesson 11.1 Length in Metric Units<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Work with a partner. Find 3 objects in your classroom and use a meter stick to measure them. Record your measurements in the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15421\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-1.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 1\" width=\"503\" height=\"180\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-1.png 503w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-1-300x107.png 300w\" sizes=\"(max-width: 503px) 100vw, 503px\" \/><br \/>\nAnswer:<br \/>\n1 centimeter is 0.1 times as long as 1 millimeter.<br \/>\n1 meter is 0.01\u00a0times as long as 1 centimeter.<br \/>\n1 meter is 0.001\u00a0times as long as 1 millimeter.<\/p>\n<p><strong>Structure<\/strong><br \/>\nHow can you convert a metric length from a larger unit to a smaller unit? How can you convert a metric length from a smaller unit to a larger unit?<br \/>\nAnswer:<br \/>\nWe can convert a metric length from a larger unit to a smaller unit by Multiplying.<br \/>\nExample: There are 1000 meters in one kilometer. Then the answer is\u00a0 5km = 5000 meters. (5 \u00d7 1000)<br \/>\nWe can convert a metric length from a smaller unit to a larger unit by Dividing.<br \/>\nExample: one meter is equal to 0.001 km.\u00a0 1 meter = 0.001 km ( 1m\/1000=0.001km)<\/p>\n<p><strong>Think and Grow: Convert Metric Lengths<\/strong><\/p>\n<p>You can use powers of 10 to find equivalent measures in the metric system.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15453\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-2.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 2\" width=\"585\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-2.png 585w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-2-300x42.png 300w\" sizes=\"(max-width: 585px) 100vw, 585px\" \/><br \/>\n<strong>Key Idea<\/strong><br \/>\nWhen finding equivalent metric lengths, multiply to convert from a larger unit to a smaller unit. Divide to convert from a smaller unit to a larger unit.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15454\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-3.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 3\" width=\"300\" height=\"129\" \/><br \/>\n<strong>Example<\/strong><br \/>\nConvert 6 centimeters to millimeters.<br \/>\nAnswer:<br \/>\nThere are 10 millimeters in 1 centimeter.<\/p>\n<p>Explanation:<br \/>\nBecause you are converting from a larger unit to a smaller unit, multiply.<br \/>\n6 \u00d7 10 = 60<br \/>\nSo, 6 centimeters is 60 millimeters.<\/p>\n<p>Example<br \/>\nConvert 14,000 meters to kilometers.<br \/>\nAnswer: There are 1,000 meters in 1 kilometer.<\/p>\n<p>Explanation:<br \/>\nBecause you are converting from a smaller unit to a larger unit, divide.<br \/>\n14,000 \u00f7 1000 = 14.<br \/>\nSo, 14,000 meters is 14 kilometers.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Convert the length.<\/p>\n<p>Question 1.<br \/>\n8.5 km = 8500 m.<\/p>\n<p>Answer:<br \/>\n8.5 \u00d7 1000 = 8500.<\/p>\n<p>Explanation:<br \/>\nConvert from kilometers to meters.<br \/>\nWe know that,<br \/>\n1 km= 1000m<br \/>\n8.5 km = 8.5 \u00d7 1000 = 8500 m<\/p>\n<p>Question 2.<br \/>\n180 cm = 1.8 m<br \/>\nAnswer: 180\/100 = 1.8 m<\/p>\n<p>Explanation:<br \/>\nConvert from centimeters to meters.<strong><br \/>\n<\/strong>1 m = 100 cm<br \/>\n1 cm = 1\/100 m<br \/>\n180 cm = 180\/100 = 1.8 m<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Convert the length.<\/p>\n<p>Question 3.<br \/>\n150 m = 0.15 km<br \/>\nAnswer:<br \/>\n150 m = 0.15 km<\/p>\n<p>Explanation:<br \/>\nConvert from meters to kilometers.<br \/>\n(Divide the meter value by 1000)<br \/>\n150m\/1000 = 0.15 km<\/p>\n<p>Question 4.<br \/>\n90 cm = 900 mm<br \/>\nAnswer:\u00a090 cm = 900 mm<\/p>\n<p>Explanation:<br \/>\nConvert from centimeters to millimeters.<br \/>\nmultiply the length value (i.e., cm value) by 10<br \/>\n90cm \u00d7 10 = 900 mm<\/p>\n<p>Question 5.<br \/>\n0.03 m = 3 cm.<br \/>\nAnswer: 0.03 m = 3 cm<\/p>\n<p>Explanation:<br \/>\nConvert from meter to centimeter<br \/>\nMultiply the length value by (i.e., m value ) by 100<br \/>\n0.03 m \u00d7 100 = 3cm<\/p>\n<p>Question 6.<br \/>\n0.6 km = 60,000 cm<br \/>\nAnswer: 0.6 km = 60,000 cm<\/p>\n<p>Explanation:<br \/>\nConvert from kilometers to centimeters<br \/>\nmultiply the length value (i.e., km value by 100000)<br \/>\n0.6km \u00d7 100000 = 60,000 cm<\/p>\n<p>Question 7.<br \/>\n800 mm = 0.8 m<br \/>\nAnswer: 800 mm = 0.8 m<\/p>\n<p>Explanation:<br \/>\nConvert from millimeters to meters<br \/>\nDivide the length value(i.e., mm value by 1000)<br \/>\n800\/1000 = 0.8 m<\/p>\n<p>Question 8.<br \/>\n700 cm = 0.007 km<br \/>\nAnswer: 700 cm = 0.007 km<\/p>\n<p>Explanation:<br \/>\nConvert from centimeters to meters<br \/>\nDivide the length value (i.e., cm value by 100000)<br \/>\n700\/100000 = 0.007 km<\/p>\n<p>Compare.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-15455 alignleft\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-4.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 4\" width=\"142\" height=\"53\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>Answer:<br \/>\n0.02 m = 20 mm<br \/>\nmultiply the length value (i.e., m value by 1000)<br \/>\n0.02 \u00d7 1000 = 20mm<br \/>\n3mm = 0.003 m<br \/>\ndivide the length value(i.e., mm value by 1000)<br \/>\n3\/1000 = 0.003 m<br \/>\n0.02 m &lt; 3 mm<br \/>\nQuestion 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15457\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-6.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 6\" width=\"178\" height=\"50\" \/><br \/>\nAnswer:<br \/>\n0.025 km = 25000 mm<br \/>\nmultiply the km value by 1e+6<br \/>\n3,500 mm = 0.0035 km<br \/>\ndivide the length mm value by 1e+6<\/p>\n<p>Question 12.<\/p>\n<p>The giant anteater has the longest tongue in relation to its body size of any mammal. Its tongue is about 0.6 meter long. How many centimeters long is its tongue?<\/p>\n<p>Answer:<br \/>\nThe giant anteater has the longest tongue in relation to its body size of any mammal. Its tongue is about 0.6 meter long. Its tongue is about 60 centimeters long.<\/p>\n<p>Explanation:<br \/>\n(0.6 meter = 60 centimeters) multiply the length value with 100.\u00a0 i.e., (0.6 \u00d7 100 = 60)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15458\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-7.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 7\" width=\"177\" height=\"144\" \/><\/p>\n<p>Question 13.<br \/>\n<strong>Number Sense<\/strong><br \/>\nThe length of an object can be written as b millimeters or c kilometers. Compare the values of b and c. Explain your reasoning.<br \/>\nAnswer:<br \/>\nThe length of an object can be written as b millimeters or c kilometers<br \/>\nLet us assume that b = 2mm,\u00a0 c = 2km<br \/>\nBy comparing the b and c values<br \/>\nc value is greater than b<br \/>\nkilometers is greater than millimeters\u00a0 ( 1km = 1000000 mm , 1mm = 1 \u00d7 10 ^ -6 km).<\/p>\n<p>Question 14.<br \/>\n<strong>Writing<\/strong><br \/>\nWhy does the decimal point move to the left when converting from a smaller measure to a larger measure?<\/p>\n<p>Answer:<br \/>\nAs we move from a smaller unit to a larger unit, the number of larger units required will be less. Therefore the decimal point will always move to the left when you want to make a number smaller. Therefore the decimal point will always move to the right when you want to make the number Bigger.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nThe base of Mauna Kea extends about 5.76 kilometers below sea level. What is the total height of the volcano in meters?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15459\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-8.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 8\" width=\"227\" height=\"194\" \/><br \/>\nConvert the distance below sea level to meters.<br \/>\nAnswer: There are 1000 meters in 1 kilometer.<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nThe base of Mauna Kea extends about 5.76 kilometers below sea level.<br \/>\n5.76 \u00d7 1000 = 5,760<br \/>\nSo, the volcano extends 5,760\u00a0meters below sea level.<br \/>\nAdding below sea level and above sea level<br \/>\nGiven in question distance of above sea level = 4,200<br \/>\nThe distance of below sea level = 5,760<br \/>\nAdding both values 4,200 + 5,760 = 9,960<br \/>\nSo, the total height of the volcano is about 9,960 meters.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15460\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-9.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 9\" width=\"573\" height=\"116\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-9.png 573w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-9-300x61.png 300w\" sizes=\"(max-width: 573px) 100vw, 573px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 15.<br \/>\nA pool is 3.65 meters deep. A diving board is 100 centimeters above the surface of the water. What is the distance from the diving board to the bottom of the pool in centimeters?<br \/>\nAnswer:\u00a0Given pool depth = 3.65 meters<br \/>\nExplanation:\u00a0The diving board is above the surface of water = 100 centimeters<br \/>\nConverting 3.65 meters into centimeters ( Since, 1m = 100 cm )<br \/>\n3.65 meters = 365 centimeters ( Multiply the meters value by 100 )<br \/>\n3.65 \u00d7 100 = 365 cm<br \/>\nThe distance from the diving board to the bottom of the pool = 365 + 100 = 465 cm<\/p>\n<p>Question 16.<br \/>\nYou hike 1.6 kilometers from a cabin to a lookout. You plan to hike the same way back. On your way back, you stop after 1,050 meters to look at a map. How many meters have you hiked so far? How many kilometers are you from the cabin?<br \/>\nAnswer: Given, that hike from a cabin toa lookout = 1.6 km<\/p>\n<p>Explanation:<br \/>\non the way you stopped after = 1,050 meters<br \/>\nso, 1.6 km = 1600 meters<br \/>\n1600 m + 1,050 m = 2,650 meters<br \/>\nTherefore, 2,650 meters have you hiked so far<br \/>\nTherefore , 550 meters from the cabin\u00a0 ( 1600m &#8211; 1050m = 550m )<br \/>\nConverting 550 meters to kilometers = 0.55 km ( divide the meter value by 1000).<br \/>\nTherefore,0.55 km from the cabin.<br \/>\nQuestion 17.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou can take one of two routes to school. Which route is longer? How much longer? Write your answer two different ways.<\/p>\n<p>Answer: Here, we are taking one route to school i.e., (Route A)<\/p>\n<p>Explanation:\u00a0From Route A and Route B the longer route is &#8220;Route A&#8221;.<br \/>\nSo, we are taking &#8220;Route A&#8221; values.<br \/>\nHere 1.3km = 1300 meters (1.3km \u00d7 1000 = 1300 meters)<br \/>\n[Since we know that \u00a01kilometer(km)\u00a0 = 1000metres] 0.6 km = 600 meters (0.6km \u00d7 1000 = 600 meters)<br \/>\nSo, we are adding1.3km + 0.6km<br \/>\n= 1300m + 600m<br \/>\n= 1900 meters<br \/>\n(OR)<br \/>\nMethod (2): Here, we are having two routes:- Route A and Route B.<br \/>\nFrom the question, We observed that<br \/>\nWe have to find out the longer route from Route A and Route B.<br \/>\nThe value of Route A is 1.3km and 0.6km<br \/>\nThe value of Route B is\u00a0 625m and 800m<br \/>\nNow add both the routes A and B<br \/>\nWe are converting the Route A value from &#8220;Kilometers to Meters&#8221;<br \/>\nHere (1.3km = 1300metres and 0.6km = 600metres)<br \/>\nBy Adding we get 1300m+600m = 1900m<br \/>\nNow take Route B = 800m + 625m = 1425m<br \/>\nBy comparing both Route A and Route B, &#8220;Route A is longer than Route B&#8221;.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15461\" style=\"font-weight: inherit;\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-10.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 10\" width=\"199\" height=\"173\" \/><strong style=\"font-size: 16px;\">\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0<\/strong><\/p>\n<h3><a id=\"Length_in_Metric_Units_Homework_&amp;_Practice_11.1\"><\/a>Length in Metric Units Homework &amp; Practice 11.1<\/h3>\n<p>Convert the length<\/p>\n<p>Question 1.<br \/>\n0.8 cm = __ mm<br \/>\nAnswer: 0.8 cm = 8 millimeters (mm)<\/p>\n<p>Expl<span style=\"font-size: 16px;\">anation:<br \/>\nWe have to convert from centimeters to millimeters<br \/>\n1 mm = 0.1 cm<br \/>\nMultiply the 0.8 with 10\u00a0 (0.8 \u00d7 10 =8)<\/span><\/p>\n<p>Question 2.<br \/>\n7 m = _ km<br \/>\nAnswer: 7 m =\u00a0 0.007 km<\/p>\n<p>Explanation:<br \/>\nConvert from meters to kilometers<br \/>\n1 km = 1000 m<br \/>\nDivide the length value by 1000 ( 7\/1000 =\u00a0 0.007)<\/p>\n<p>Question 3.<br \/>\n6.4 km = ___ m<br \/>\nAnswer: 6.4 km = 6400 m<\/p>\n<p>Explanation:<br \/>\nConvert from kilometers to meters<br \/>\n1 km = 1000 m<br \/>\nMultiply the length value by 1000 (6.4 \u00d7 1000 = 6400)<\/p>\n<p>Question 4.<br \/>\n1,300 mm = __ cm<br \/>\nAnswer: 1,300 mm = 130 cm<\/p>\n<p>Explanation:<br \/>\nConvert from millimeters to centimeters.<br \/>\n1 mm = 0.1 cm<br \/>\nDivide the length value by 10 ( 1300\/10 = 130)<\/p>\n<p>Question 5.<br \/>\n91,000 cm = ___ km<br \/>\nAnswer: 91,000 cm = 0.91 km<\/p>\n<p>Explanation:<br \/>\nConvert from centimeters to kilometers.<br \/>\n1 cm = 1e &#8211; 5<br \/>\nDivide the length value by 100000 ( 91000\/100000 = 0.91)<\/p>\n<p>Question 6.<br \/>\n20,000 mm = ___ km<br \/>\nAnswer: 20,000 mm = 0.02 km<\/p>\n<p>Explanation:<br \/>\nConvert from millimeters to kilometers<br \/>\nMultiply the value in mm by the conversion factor 1.0E-6.<br \/>\nSo, 20000 mm times 1.0E-6 is equal to 0.02 km.<\/p>\n<p><strong>Compare<\/strong><\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15462\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-11.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 11\" width=\"129\" height=\"44\" \/><br \/>\nAnswer: 1.6 m is greater than 16 cm<\/p>\n<p>Explanation:<br \/>\n16cm = 0.16 m<br \/>\n16cm\/100 = 0.16m<br \/>\n1.6 m = 1.6m \u00d7 100 = 160 cm<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15463\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-12.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 12\" width=\"148\" height=\"45\" \/><br \/>\nAnswer:<br \/>\n300 mm = 0.3 m<br \/>\n1mm = 0.001 m ( divide the 300mm by 1000 )<br \/>\n0.3 m = 300 mm<br \/>\n1m = 1000mm ( multiply the 0.3m by 1000 )<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15464\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-13.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 13\" width=\"166\" height=\"51\" \/><br \/>\nAnswer: 0.045 km = 45,000 mm<\/p>\n<p>Explanation:<br \/>\nConvert from kiometers to millimeters<br \/>\n1km = 1000000 mm<br \/>\n45 mm = 4.5 \u00d7 10 ^ -5 km ( it is spelled as 10 to the power of -5)\u00a0 (or)\u00a0 \u00a04.5 e^-5<\/p>\n<p>Question 10.<br \/>\nDolphins can hear sounds underwater that are 24 kilometers away. How many meters away can dolphins hear sounds underwater?<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nDolphins can hear sounds underwater that are 24 kilometers away.<br \/>\n24000 meters away dolphins can hear sounds underwater.<\/p>\n<p>Question 11.<br \/>\n<strong>Reasoning<\/strong><br \/>\nHow can you convert 7.8 meters to kilometers by moving the decimal point? Explain your reasoning.<br \/>\nAnswer:<br \/>\nConverting 7.8 meters to kilometers<br \/>\n7.8 meters = 0.0078 kilometers.<\/p>\n<p>Explanation:<br \/>\n7.8 m \/ 1000 = 0.0078 km ( Divide the meter value by 1000 ) ( 1km = 1000 m )<br \/>\nTo convert from meters to kilometers, divide the meter value by 1000<br \/>\nsince , 1km = 1000m<br \/>\ndivide the whole meter value by 1000, put a decimal point at the end of the number and then move it three places to the left.<br \/>\n(But in question we have the decimal number that is 7.8\u00a0 so, that is why we have moved the decimal point to the fourth number from left).<\/p>\n<p>Question 12.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend divides by 100 to convert a length from meters to centimeters. Is your friend correct? Explain.<br \/>\nAnswer:<br \/>\nNo, it is not correct.<\/p>\n<p>Explanation:<br \/>\nConverting a length from meters to centimeters, We have to multiply the length value by 100.<\/p>\n<p>Question 13.<br \/>\nWhich One Doesn\u2019t Belong? Which measurement does not belong with the other three?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15465\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-14.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 14\" width=\"211\" height=\"73\" \/><\/p>\n<p>Answer:<br \/>\n5,000 cm measurement does not belong with the other three.<\/p>\n<p>Explanation:<br \/>\n500,000 mm = 500 m<br \/>\n500 m = 0.5km<br \/>\nBut, 5000 cm = 50m (Here the value 50 m is didn&#8217;t belong with given values in question)<\/p>\n<p>Question 14.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA small chunk of ice called a growler breaks away from an ice burg. The growler sticks out of the water 840 millimeters and is 3.5 meters deep in the water. What is the total height of the growler in meters?<br \/>\nAnswer:<br \/>\nConverting 840 millimeters into meters<\/p>\n<p>Explanation:<br \/>\n840 mm = 0.84 meter<br \/>\n( Divide the length value by 1000)<br \/>\n840\/1000 = 0.84 meter<br \/>\nTotal Height of the growler = 0.84 m \u00d7 3.5 m (Multiply 0.84m and 3.5m)<br \/>\n= 2.94 meters.<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA spaceship\u2019s route from Earth to the moon is 384,400 kilometers long. The spaceship travels 500,000 meters. How many kilometers does it have left to travel?<br \/>\nAnswer:<br \/>\nThe Spaceship has left to travel from Earth to the Moon = 500 kilometers.<\/p>\n<p>Explanation:<br \/>\nAccording, to the question<br \/>\nWe are converting 500,000 meters to Kilometers ( 500,000 meters = 500 kilometers)<br \/>\nSo, the spaceship has left to travel is 500 kilometers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15466\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-15.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 15\" width=\"215\" height=\"156\" \/><\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Write the fraction in the simplest form.<\/p>\n<p>Question 16.<br \/>\n\\(\\frac{2}{8}\\)<br \/>\nAnswer: \\(\\frac{2}{8}\\) = \\(\\frac{1}{4}\\)<\/p>\n<p>Question 17.<br \/>\n\\(\\frac{10}{100}\\)<br \/>\nAnswer: \\(\\frac{10}{100}\\) = \\(\\frac{1}{10}\\)<\/p>\n<p>Question 18.<br \/>\n\\(\\frac{24}{16}\\)<br \/>\nAnswer: \\(\\frac{24}{16}\\) = \\(\\frac{3}{2}\\)<\/p>\n<h3><a id=\"Lesson_11.2_Mass_and_Capacity_in_Metric_Units\"><\/a>Lesson 11.2 Mass and Capacity in Metric Units<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use a balance and weights to help you complete the statement.<br \/>\nAnswer:\u00a01 kilogram is 0.001\u00a0times as much as 1 gram.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15467\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-16.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 16\" width=\"233\" height=\"107\" \/><br \/>\n<strong>Structure<\/strong><br \/>\nHow can you convert kilograms to grams? How can you convert grams to kilograms?<\/p>\n<p>Use a 1-liter beaker to help you complete the statement.<br \/>\nAnswer:\u00a01 liter is 0.001\u00a0times as much as 1 milliliter.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15468\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-17.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 17\" width=\"114\" height=\"138\" \/><\/p>\n<p><strong>Structure<\/strong><br \/>\nHow can you convert liters to milliliters? How can you convert milliliters to liters?<br \/>\nAnswer: Converting liters to milliliters ( 1 liter = 1000 milliliters )<\/p>\n<p>Explanation:<br \/>\nmultiply the volume (i.e., liter value by 1000 )<br \/>\nFor example :-\u00a0 0.01 liter = 10 ml<br \/>\n0.1 liter = 100 ml<br \/>\n1 liter = 1000 ml<br \/>\nConverting milliliters to liters ( 1 milliliters = 0.001 liters)<br \/>\nDivide the volume value ( i.e., liter value by 1000)<br \/>\n1\/1000 = 0.001 liter .<\/p>\n<p><strong>Think and Grow: Convert Metric Measures<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nWhen finding equivalent metric masses or capacities, multiply to convert from a larger unit to a smaller unit. Divide to convert from a smaller unit to a larger unit.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15469\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-18.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 18\" width=\"550\" height=\"114\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-18.png 550w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-18-300x62.png 300w\" sizes=\"(max-width: 550px) 100vw, 550px\" \/><br \/>\n<strong>Example<\/strong><br \/>\nConvert 12.4 grams to milligrams.<br \/>\nAnswer: There are 1000 milligrams in 1 gram.<\/p>\n<p>Explanation:<br \/>\nBecause you are converting from a larger unit to a smaller unit, multiply.<br \/>\n12.4 \u00d7 1000 = 12400<br \/>\nSo, 12.4 grams is 12400\u00a0milligrams.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15470\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-19.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 19\" width=\"193\" height=\"230\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nConvert 18,000 milliliters to liters.<br \/>\nAnswer:<br \/>\nThere are 1000\u00a0milliliters in 1 liter.<br \/>\nBecause you are converting from a smaller unit to a larger unit, divide.<br \/>\n18,000 \u00f7 1000 = 18 liters .<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15471\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-20.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 20\" width=\"202\" height=\"238\" \/><br \/>\nSo, 18,000 milliliters is 18\u00a0liters.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Convert the mass.<\/p>\n<p>Question 1.<br \/>\n8 kg = ___ g<br \/>\nAnswer: 8 kg = 8000 g (8 \u00d7 1000 = 8000g)<\/p>\n<p>Explanation:<br \/>\nConvert from kilograms to grams<br \/>\n1 kg = 1000 g<br \/>\n8 kg = 8 \u00d7 1000 g = 8000 g<\/p>\n<p>Question 2.<br \/>\n3,800 mg = __ g<br \/>\nAnswer: 3,800 mg = 3.8 g<br \/>\nExplanation:<br \/>\nConvert from milligrams to grams<br \/>\nDivide the mass value ( mg value) by 1000<br \/>\n( 3800\/1000 = 3.8 g )<\/p>\n<p>Convert the capacity.<\/p>\n<p>Question 3.<br \/>\n22,000 mL = __ L<br \/>\nAnswer:\u00a022,000 mL = 22 L<br \/>\nExplanation:<br \/>\nConvert from milliliters to liters.<br \/>\nDivide the volume value ( mL value) by 1000<br \/>\n( 22000\/1000 = 22 L )<\/p>\n<p>Question 4.<br \/>\n4.6 L = __ mL<br \/>\nAnswer: 4.6 L = 4600 mL<\/p>\n<p>Explanation:<br \/>\nConvert from liters to milliliters<br \/>\nMultiply the volume value ( L\u00a0 value) by 1000<br \/>\n4.6 \u00d7 1000 = 4600 mL<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Convert the mass.<\/p>\n<p>Question 5.<br \/>\n5,000 g = ___ kg<br \/>\nAnswer: 5,000 g = 5 kg<\/p>\n<p>Explanation:<br \/>\nConvert from grams to kgs<br \/>\nDivide the mass value ( g value) by 1000<br \/>\n1000 grams = 1 kg<br \/>\n5000\/1000 = 5kg<\/p>\n<p>Question 6.<br \/>\n67 g = ___ mg<br \/>\nAnswer: 67 g = 67000 mg<\/p>\n<p>Explanation:<br \/>\nConvert from grams to milligrams<br \/>\n1 g = 1000 mg<br \/>\nMultiply the mass value ( g value ) by 1000<br \/>\n67 \u00d7 1000 = 67000 mg<\/p>\n<p>Question 7.<br \/>\n0.2 kg = __ mg<br \/>\nAnswer: 0.2 kg = 200000 mg<\/p>\n<p>Explanation:<br \/>\nMultiply the mass value ( kg value) by 1e+6<\/p>\n<p>Question 8.<br \/>\n30,000 mg = __ kg<br \/>\nAnswer: 30,000 mg = 0.03 kg<\/p>\n<p>Explanation:<br \/>\nDivide the mass value ( mg value ) by 1e+6<\/p>\n<p>Convert the capacity.<\/p>\n<p>Question 9.<br \/>\n8 L = ___ mL<br \/>\nAnswer: 8 L = 8000 mL\u00a0 ( 8 \u00d7 1000 = 8000 mL )<\/p>\n<p>Explanation:<br \/>\nConvert from liters to milliliters<br \/>\n1L = 1000 mL<br \/>\n( Multiply the volume ( L ) value by 1000)<br \/>\n8 liters = 8 \u00d7 1000 ml = 8000 ml<\/p>\n<p>Question 10.<br \/>\n70 mL = ___ L<br \/>\nAnswer: 70 mL = 0.07 L<\/p>\n<p>Explanation:<br \/>\nConvert from milliliters to liters<br \/>\nDivide the volume ( mL ) value by 1000<br \/>\n70\/1000 = 0.07 L<\/p>\n<p>Question 11.<br \/>\n1.200 mL = __ L<br \/>\nAnswer: 1.200 mL = 0.0012 L<\/p>\n<p><span style=\"font-size: 16px;\">Explanation:<br \/>\nConvert from milliliters to liters<br \/>\nDivide the volume ( mL ) value by 1000<br \/>\n<\/span>1.200\/1000 = 0.0012 L<\/p>\n<p>Question 12.<br \/>\n0.4 L = ___ mL<br \/>\nAnswer: 0.4 L = 400 mL<\/p>\n<p>Explanation:<br \/>\n<span style=\"font-size: 16px;\">Convert from milliliters to liters<\/span><br \/>\nMultiply the volume ( L ) value by 1000<br \/>\n( 0.4 \u00d7 1000 = 400 mL )<\/p>\n<p>Question 13.<br \/>\nWhat is the mass of the pumpkin in kilograms?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15472\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-21.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 21\" width=\"103\" height=\"161\" \/><\/p>\n<p>Answer:<br \/>\nGiven, the mass of the pumpkin = 6,000 grams<br \/>\nAccording to the question, we have to find out the mass of pumpkin in kilograms.<br \/>\nConverting the 6,000 grams into kilograms = 6 kilograms<\/p>\n<p>Explanation:<br \/>\nDivide the mass ( grams ) value by 1000<br \/>\n[1 kilogram = 1000 grams] , [ 6 kilogram = 6,000 grams ]<br \/>\n(6000\/1000 = 6 kilograms )<br \/>\nSo, the mass of pumpkin in kilograms is 6 kilograms.<\/p>\n<p>Question 14.<br \/>\nWhich One Doesn\u2019t Belong? Which one does not have the same capacity as the other three?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15473\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-22.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 22\" width=\"229\" height=\"100\" \/><br \/>\nAnswer:<br \/>\nHere , 2000 ml = 2L<br \/>\n2L = 2000 ml<br \/>\n2 \u00d7 10\u00b3 ml =2000 ml<br \/>\nBut 2 ml = 0.002 L<\/p>\n<p>Explanation:<br \/>\nSo, the 2ml does not have the same capacity as the other three<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nOrder the masses from least to greatest. Explain how you converted the masses.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15474\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-23.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 23\" width=\"324\" height=\"55\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-23.png 324w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-23-300x51.png 300w\" sizes=\"(max-width: 324px) 100vw, 324px\" \/><br \/>\nAnswer:\u00a0Order the masses from least to greatest is<br \/>\n14000 mg , 0.039 kg\u00a0 ,\u00a0 56 g , 0.14 kg<\/p>\n<p>Explanation:<br \/>\n0.039 kg = 39 grams<br \/>\n0.14 kg = 140 grams<br \/>\n56 g = 0.056 kg<br \/>\n14,000 mg = 14 grams.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYou have a 5-kilogram bag of dog food. You give your dog 50 grams of food each day. How many days does the bag of food last?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15475\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-24.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 24\" width=\"228\" height=\"173\" \/><br \/>\nAnswer: Convert the mass of the bag to grams.<\/p>\n<p>Explanation:<br \/>\nThere are 1000 grams in 1 kilogram.<br \/>\n5 \u00d7 1000 = 5000<br \/>\nSo, the bag contains 5000 grams of dog food.<br \/>\nDivide the amount of dog food in the bag by the amount you give your dog each day.<br \/>\n5000 \u00f7 50 =100<br \/>\nSo, the bag lasts for 100\u00a0days.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 16.<br \/>\nYou have 6 liters of juice to make frozen treats. You pour 30 milliliters of juice into each treat mold. How many treats can you make?<br \/>\nAnswer: We can make 200 treats.<\/p>\n<p>Explanation:<br \/>\nWe have 6 Liters of juice<br \/>\n6 Liters = 6000 milliliters<br \/>\nFrom the formula ( 1 liter = 1000 milliliter )<br \/>\n30 milliliters of juice is poured into each treat mold<br \/>\nso , 6000 \/ 30 = 200<br \/>\nso, we can make 200 treats.<\/p>\n<p>Question 17.<br \/>\nYour goal is to eat no more than 2.3 grams of sodium each day. You record the amounts of sodium you eat. How many more milligrams of sodium can you eat and not exceed your limit?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15476\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-25.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 25\" width=\"215\" height=\"147\" \/><br \/>\nAnswer: Given 2.3 grams of sodium you have to eat each day<\/p>\n<p>Explanation:<br \/>\nconvert 2.3 grams into milligrams<br \/>\n2.3 grams = 2300 milligrams ( multiply the value of the gram by 1000 )<br \/>\nsubtract the sodium you eat values<br \/>\n2300 &#8211; 210 &#8211; 250 &#8211; 690 = 1150<br \/>\nso, you can take 1150 more milligrams of sodium.<\/p>\n<p>Question 18.<br \/>\nWhich contains more juice, 3 of the bottles, or 32 of the juice boxes? How much more? Write your answer in milliliters.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15477\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-26.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 26\" width=\"137\" height=\"138\" \/><br \/>\nAnswer:\u00a01 bottle of juice contains = 2 L<br \/>\n1 juice box contains = 200 mL<\/p>\n<p>Explanation:<br \/>\nfrom the question, we have to find 3 juice bottles quantity and 32 juice boxes quantity in milliliters.<br \/>\n1 L = 1000 mL ( from formula )<br \/>\n2L = 2000 mL<br \/>\nfor 3 juice bottles = 3 \u00d7 2000 = 6000 ml<br \/>\nfor 32 juice boxes = 32 \u00d7 200 = 6400 ml<br \/>\nso, 6400 &#8211; 6000 = 400 ml<br \/>\n400 mL is more<br \/>\nTherefore, 32 juice boxes contain more juice than 3 juice bottles.<\/p>\n<h3><a id=\"Mass_and_Capacity_in_Metric_Units_Homework_&amp;_Practice_11.2\"><\/a>Mass and Capacity in Metric Units Homework &amp; Practice 11.2<\/h3>\n<p>Convert the mass<\/p>\n<p>Question 1.<br \/>\n9 g = 9000 mg<br \/>\nAnswer: 9 g = 9000 mg<\/p>\n<p>Explanation:<br \/>\nConvert from grams to milligrams<br \/>\n1 g = 1000 mg<br \/>\n9 g = 9000 mg ( multiply the g value by 1000 )<\/p>\n<p>Question 2.<br \/>\n78 g = 0.078 kg<br \/>\nAnswer: 78 g = 0.078 kg<\/p>\n<p>Explanation:<br \/>\nConvert from grams to kilograms.<br \/>\n1 g = 0.001 kg<br \/>\n78 g = 0.078 kg ( divide the g value by 1000 )<\/p>\n<p>Question 3.<br \/>\n260,000 mg = _0.26_ kg<br \/>\nAnswer: 260,000 mg = 0.26 kg<\/p>\n<p>Explanation:<br \/>\nConvert from milligrams to kilograms.<br \/>\n1 mg = 1e + 6<br \/>\n260,000 mg = 0.26 kg<\/p>\n<p>Question 4.<br \/>\n0.148 kg = 148000 mg<br \/>\nAnswer: 0.148 kg = 148000 mg<\/p>\n<p>Explanation:<br \/>\nConvert from kilograms to milligrams<br \/>\n1kg = 1000000 mg<br \/>\n0.148 kg = 148000 mg<\/p>\n<p>Convert the capacity<\/p>\n<p>Question 5.<br \/>\n600 mL = 0.6 L<br \/>\nAnswer: 600 mL = 0.6 L<\/p>\n<p>Explanation:<br \/>\nConvert from milliliters to liters.<br \/>\n1mL = 0.001 L<br \/>\n600 mL = 0.6 L<br \/>\ndivide the mL by 1000<\/p>\n<p>Question 6.<br \/>\n3 L = 3000 mL<br \/>\nAnswer: 3 L = 3000 mL<\/p>\n<p>Explanation:<br \/>\nConvert from liters to milliliters.<br \/>\n1 L = 1000 mL<br \/>\n3 L = 3000 mL ( multiply the L value by 1000 )<\/p>\n<p>Question 7.<br \/>\n0.21L = 210 mL<br \/>\nAnswer: 0.21 L = 210 mL<\/p>\n<p>Explanation:<br \/>\nConvert from liters to milliliters.<br \/>\n1 L = 1000 mL<br \/>\n0.21 L = 210 mL ( multiply the L value by 1000 )<\/p>\n<p>Question 8.<br \/>\n35 mL = 0.035 L<br \/>\nAnswer: 35 mL = 0.035 L<\/p>\n<p>Explanation:<br \/>\nConvert from milliliters to liters.<br \/>\n1 mL = 0.001 L<br \/>\n35 mL = 0.035 L<br \/>\ndivide the mL value by 1000<\/p>\n<p>Question 9.<br \/>\nThere are 3.2 liters of iced tea in a pitcher. How many milliliters of iced tea are in the pitcher?<br \/>\nAnswer:\u00a0Given that iced tea in a pitcher = 3.2 Liters<br \/>\nwe have to find out iced tea in the pitcher in milliliters<\/p>\n<p>Explanation:<br \/>\nConvert from liters to milliliters.<br \/>\n3.2 Liters = 3200 milliliters<br \/>\n1 Liter = 1000 milliliter<br \/>\n3.2 Liters = 3200 milliliters ( multiply the Liters value by 1000 )<br \/>\nso, therefore 3200 milliliters of iced tea are in the pitcher.<\/p>\n<p>Question 10.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says that 0.04 kilogram is less than 4 \u00d7 10<sup>5<\/sup> milligrams. Is your friend correct? Explain.<br \/>\nAnswer:\u00a00.04 kilogram = 40,000 mg<br \/>\n4 \u00d7 10<sup>5<\/sup> mg = 0.4 kg<\/p>\n<p>Explanation:<br \/>\nyes, your friend is correct<br \/>\n0.04 kg is less than 4 \u00d7 10<sup>5<\/sup> mg<br \/>\nQuestion 11.<br \/>\n<strong>Number Sense<\/strong><br \/>\nHow does the meaning of each pre\ufb01x relate to the metric units of mass and capacity?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15478\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-27.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 27\" width=\"197\" height=\"106\" \/><br \/>\nAnswer: The metric system is the system of measurement primarily used in science and in countries outside of the united states.<\/p>\n<p>Explanation:<br \/>\nThe metric system includes units of length ( meters ), mass ( grams ), and capacity (liters).<br \/>\nfrom the given question we have to relate each prefix to the metric units of mass and capacity is:-<br \/>\nmetric units of mass of prefix kilo are:-\u00a0 kilo is the prefix of the kilogram(kg),\u00a0 kilogram (kg)=1000 grams<br \/>\nMilli is the prefix of milligram(mg) , milligram(mg) = 0.001 gram<br \/>\nmetric units of the capacity of prefix kilo is:- kilo is the prefix of Kiloliter(KL), Kiloliter (KL) = 1000 liters<br \/>\nMilli is the prefix of Milliliter(mL), Milliliter (mL) = 0.001 liters<\/p>\n<p>Question 12.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou have 9 kilograms of corn kernels. You put 450 grams of corn kernels in each bag. How many bags can you make?<br \/>\nAnswer: we can make 20 bags.<\/p>\n<p>Explanation:<br \/>\nGiven that you have 9 kilograms of corn kernels<br \/>\nconvert 9 kilograms to grams = 9 kilograms = 9000grams<br \/>\nyou put 450 grams of corn kernels in each bag.<br \/>\nwe have to find out the how many bags we can make<br \/>\nso, divide the 9000 grams by 450 grams = 9000\/450 = 20<br \/>\nso, we can make 20 bags.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15479\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-28.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 28\" width=\"167\" height=\"150\" \/><\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYour teacher has one of each of the beakers shown. You need to measure exactly 2 liters of liquid for an experiment. What are three different ways you can do this?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15480\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-29.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 29\" width=\"317\" height=\"170\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-29.png 317w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-29-300x161.png 300w\" sizes=\"(max-width: 317px) 100vw, 317px\" \/><br \/>\nAnswer: We have 3 beakers as shown in figure with 400ml , 600ml , 1L<\/p>\n<p>Explanation:<br \/>\nWe have to measure exactly 2 Liters of liquid for each beaker\u00a0 ( 2L = 2000 ml )<br \/>\nThe three different ways we can do this is :-<br \/>\nfor first beaker = 400ml \u00d7 5 = 2000ml<br \/>\nfor second beaker = 600ml \u00d7 2 + 400ml \u00d7 2<br \/>\n= 1200ml + 800ml = 2000ml<br \/>\nfor third beaker = 1 L + 1 L = 2 L<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 14.<br \/>\nNewton rides to the store in a taxi. He owes the driver $12. He calculates the driver\u2019s tip by multiplying $12 by 0.15. How much money does he pay the driver, including the tip?<br \/>\nAnswer:<br \/>\nGiven that newton rides to the store in a taxi.<br \/>\nHe owes the driver $12.<br \/>\nso, he multiplies the drivers tip by $12 by 0.15<br \/>\n$12 \u00d7 0.15 + $12 = 13.8<br \/>\nso, newton paid the driver including a tip is 13.8<\/p>\n<h3><a id=\"Lesson_11.3_Length_in_Customary_Units\"><\/a>Lesson 11.3 Length in Customary Units<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Work with a partner. Use a yardstick to draw 3 lines on a whiteboard that are 1 yard, 2 yards, and 3 yards in length. Then measure the lengths of the lines in feet and in inches. Record your measurements in the table:-<br \/>\n<strong>Table values are:-<\/strong><br \/>\n1 \u00a0Length(yards) = 3 (feet) ,\u00a0 36(inches)<br \/>\n2\u00a0 Length(yards) = 6 (feet) , 72(inches)<br \/>\n3\u00a0 Length(yards) = 9 (feet) , 108(inches)<\/p>\n<p>Answer:<br \/>\n1 foot is 12 times as long as 1 inch.<br \/>\n1 yard is 3 times as long as 1 foot.<br \/>\n1 yard is 3 \u00d7 12 times as long as 1 inch.<\/p>\n<p><strong>Structure<\/strong><br \/>\nHow can you convert a customary length from a larger unit to a smaller unit? How can you convert a customary length from a smaller unit to a larger unit?<br \/>\nAnswer:<br \/>\nWhen converting customary units of measure from a larger unit to a smaller unit, multiply the larger unit by its smaller equivalent unit.<br \/>\nwhen converting customary units of measure from a smaller unit to a larger unit, divide the smaller unit by its larger equivalent unit.<\/p>\n<p><strong>Think and Grow: Convert Customary Lengths<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nWhen finding equivalent customary lengths, multiply to convert from a larger unit to a smaller unit. Divide to convert from a smaller unit to a larger unit.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15482\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-31.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 31\" width=\"230\" height=\"143\" \/><br \/>\n<strong>Example<\/strong><br \/>\nConvert 3 miles to yards.<br \/>\nAnswer: There are 1760 yards in 1 mile.<\/p>\n<p>Explanation:<br \/>\nBecause you are converting from a larger unit to a smaller unit, multiply.<br \/>\n3 \u00d7 1760 = 5280<br \/>\nSo, 3 miles is 5280 yards.<\/p>\n<p><strong>Example<\/strong><br \/>\nConvert 42 inches to feet and inches.<br \/>\nAnswer: There are 12 inches in 1 foot.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15483\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-32.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 32\" width=\"183\" height=\"239\" \/><br \/>\nBecause you are converting from a smaller unit to a larger unit, divide.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15484\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-33.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 33\" width=\"590\" height=\"151\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-33.png 590w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-33-300x77.png 300w\" sizes=\"(max-width: 590px) 100vw, 590px\" \/><br \/>\nAnswer:<br \/>\nThere are 12 inches in 1 foot<br \/>\nso, 42 inches is 3 feet 6 inches ( 42 \/ 12 = 3.5 )<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Convert the length.<\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15485\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-34.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 34\" width=\"138\" height=\"61\" \/><br \/>\nAnswer:<br \/>\n6 1\/2 ft = 78 inches<\/p>\n<p>Explanation:<br \/>\nConvert from feet to inches<br \/>\n1 foot = 12 inches<br \/>\n6 feet = 6 \u00d7 12 = 72 inches<br \/>\n1\/2 ft = 6 inches<br \/>\n72 + 6 = 78 inches<br \/>\nmultiply the ft value by 12<br \/>\n6 1\/2 ft = 78 inches<\/p>\n<p>Question 2.<br \/>\n94 in. = ft in.<br \/>\nAnswer: 94 in = 7 ft 10 in<\/p>\n<p>Explanation:\u00a0divide the inch value by 12<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Convert the length.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15486\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-35.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 35\" width=\"142\" height=\"56\" \/><br \/>\nAnswer:\u00a0 3 \u00d7 3\/4 ft = 45 in.<\/p>\n<p>Explanation: multiply the ft value by 12<\/p>\n<p>Question 4.<br \/>\n60 in. = _5_ ft<br \/>\nAnswer:- 60 in = 5 f<\/p>\n<p>Explanation:<br \/>\ndivide the in value by 12<\/p>\n<p>Question 5.<br \/>\n375 ft = __ yd<br \/>\nAnswer: 375 ft = 125 yd<\/p>\n<p>Explanation: divide the ft value by 3<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15487\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-36.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 36\" width=\"141\" height=\"57\" \/><br \/>\nAnswer: 12 \u00d7 2\/3 yd = 38 feet<\/p>\n<p>Explanation:<br \/>\nConvert from yards to feet.<br \/>\n1 yard = 3 feet<br \/>\nmultiply the yd value by 3<\/p>\n<p>Question 7.<br \/>\n51 in. = __ ft___in.<br \/>\nAnswer: 51 in = 4 feet 3 inches<\/p>\n<p>Explanation:<br \/>\nConvert from inches to feet.<br \/>\ndivide the 51-inch value by 12<\/p>\n<p>Question 8.<br \/>\n5 yd = __ in.<br \/>\nAnswer: 5 yd = 180 inches<\/p>\n<p>Explanation:<br \/>\nConvert from yards to inches.<br \/>\n1 yard = 36 inches<br \/>\nmultiply the yd value by 36<br \/>\n5 yards = 5 \u00d7 36 = 180 inches<\/p>\n<p>Compare.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15488\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-37.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 37\" width=\"122\" height=\"53\" \/><br \/>\nAnswer: 7 \u00d7 1\/3 yd = 22 ft<\/p>\n<p>Explanation:<br \/>\nConvert from yards to feet.<br \/>\nmultiply the yd value by 3<br \/>\n22 ft = 7.333 yd<br \/>\ndivide the ft value by 3<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15489\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-38.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 38\" width=\"141\" height=\"51\" \/><br \/>\nAnswer: 54 in = 4 feet 6 inches<\/p>\n<p>Explanation:<br \/>\nConvert from inches to feet.<br \/>\ndivide the inch value by 12<br \/>\n4 ft 8 in = 56 inches<br \/>\nmultiply the length value by 12<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15490\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-39.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 39\" width=\"117\" height=\"51\" \/><br \/>\nAnswer: 216 in = 6 yards<\/p>\n<p>Explanation:<br \/>\nConvert from inches to yards.<br \/>\ndivide the in value by 36<br \/>\n6 yd = 216 inches<br \/>\nmultiply the\u00a0 yd value by 36<\/p>\n<p>Question 12.<br \/>\nA dugong is 8\\(\\frac{1}{3}\\) feet long. How many inches long is the dugong?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15491\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-40.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 40\" width=\"226\" height=\"188\" \/><br \/>\nAnswer: A dugong is 8 \u00d7 1\/3 feet long<br \/>\n8 \u00d7 \\(\\frac{1}{3}\\) feet = 32 inches<\/p>\n<p>Explanation:<br \/>\nTherefore 32 inches long is the dugong.<\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nOrder the lengths from shortest to longest. Explain how you converted the lengths.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15492\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-41.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 41\" width=\"541\" height=\"55\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-41.png 541w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-41-300x30.png 300w\" sizes=\"(max-width: 541px) 100vw, 541px\" \/><\/p>\n<p>Answer:<br \/>\n1)\u00a0 5 \u00d7 \\(\\frac{1}{2}\\) =\\(\\frac{5}{2}\\) feet<br \/>\n5\/2 feet = 30 inches<br \/>\nmultiply the feet value by 12<br \/>\n2) 5 feet 3 inches = 63 inches<br \/>\nmultiply the 5 feet 3 inches value by 12<br \/>\n3) 5 \u00d7 \\(\\frac{2}{3}\\) feet = 40 inches<br \/>\nmultiply the feet value by 12<br \/>\n4) \u00a05 \u00d7 \\(\\frac{3}{4}\\) feet = 45 inches<br \/>\nmultiply the feet value by 12<br \/>\nSo, order from shortest to longest = 5 \u00d7 1\/2 , 5 \u00d7 2\/3 , 5 \u00d7 3\/4 , 5 feet 3 inches .<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA golfer uses a device to determine that his golf ball is 265 feet from a hole. After his next shot, his ball is 15 feet short of the hole. How many yards did the golfer hit his ball?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15493\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-42.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 42\" width=\"154\" height=\"169\" \/><br \/>\nBecause the golfer\u2019s ball is 15 feet short of the hole after his next shot, subtract 265 from 15 to find how many feet the golfer hit his ball.<br \/>\n265 &#8211; 15 = _250_ feet<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15494\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-43.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 43\" width=\"627\" height=\"259\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-43.png 627w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-43-300x124.png 300w\" sizes=\"(max-width: 627px) 100vw, 627px\" \/><br \/>\nAnswer: 265 &#8211; 15 = 250 feet<\/p>\n<p>Explanation:<br \/>\nThere are 3 feet in 1 yard.<br \/>\n250\/3 = 83.33 yards<br \/>\n= 83 \u00d7 \\(\\frac{1}{3}\\) yards.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 14.<br \/>\nA tree is 27 feet tall. After the tree is struck by lightning, it is 96 inches shorter. How many feet tall is the tree after it is struck by lightning?<br \/>\nAnswer:<br \/>\nGiven a tree is 27 feet tall. After the tree is struck by lightning, it is 96 inches shorter<br \/>\nwe have to find the feet of the tree after it is struck by lightning.<br \/>\n27 feet = 324 inches<br \/>\nSubtract 324 &#8211; 96 = 228 inches<br \/>\nconverting 228 inches to feet ( i.e., 228 inches = 19 feet )<br \/>\nSo, therefore after the tree is struck by lightning its feet tall = 19 feet<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe rope ladder is 2\\(\\frac{1}{2}\\) yards tall. Each knot is made using 16 inches of rope. How many feet of rope are used to make the ladder? Explain.<br \/>\nAnswer: 22 feet of rope are used to make the ladder.<\/p>\n<p>Explanation:<br \/>\n2 yards = 6 feet<br \/>\n1 knot is 16 inches<br \/>\nTotal 12 knots<br \/>\n12 \u00d7 16 = 16 feet ,\u00a0 16 + 16 = 22 feet.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15495\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-44.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 44\" width=\"87\" height=\"199\" \/><\/p>\n<p>Question 16.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe Chesapeake Bay Bridge is 4\\(\\frac{3}{10}\\) miles long. Road work begins 1,200 yards from one end of the bridge and ends 2 miles from the other end of the bridge. How many yards long is the road work?<br \/>\nAnswer: 11760 yards<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nThe Chesapeake Bay Bridge is 4\\(\\frac{3}{10}\\) miles long.<br \/>\nRoad work begins 1,200 yards from one end of the bridge and ends 2 miles from the other end of the bridge.<br \/>\n1760 \u00d7 4 = 7,040<br \/>\n1760 \u00d7 2 = 3,520<br \/>\ngiven 1200 yards<br \/>\nso, 7040 + 3520 + 1200 = 11760 yards\u00a0 ( since 1 mile = 1760 yards )<\/p>\n<h3><a id=\"Length_in_Customary_Units_Homework_&amp;_Practice_11.3\"><\/a>Length in Customary Units Homework &amp; Practice 11.3<\/h3>\n<p>Convert the length.<\/p>\n<p>Question 1.<br \/>\n2\\(\\frac{1}{3}\\) yd = __ in.<br \/>\nAnswer:- 2 \u00d7 \\(\\frac{1}{3}\\) yd = 84 in<\/p>\n<p>Explanation:-<br \/>\nConvert from yards to inches<br \/>\n1 yard = 36 inches<br \/>\nMultiply the yd value by 36<\/p>\n<p>Question 2.<br \/>\n5 mi = __ yd.<br \/>\nAnswer: 5 mi = 8800 yards<\/p>\n<p>Explanation:<br \/>\nConvert from miles to yards<br \/>\n1 mile = 1760 yards<br \/>\nmultiply\u00a0 the mi value by 1760<br \/>\n5 miles = 5 \u00d7 1760 yards<br \/>\n5 mi = 8800 yards<\/p>\n<p>Question 3.<br \/>\n3\\(\\frac{1}{3}\\) yd = __ ft<br \/>\nAnswer:<br \/>\nConvert from yards to feet.<br \/>\nmultiply the yd value by 3<br \/>\n3 \u00d7 1\/3 yd = 1 yd<br \/>\n1 yd = 3 feet<\/p>\n<p>Question 4.<br \/>\n27 in. = __ ft __ in.<br \/>\nAnswer: 27 in = 2 feet 3 inches<\/p>\n<p>Explanation:<br \/>\nConvert from inches to feet.<br \/>\ndivide the 27 inches value by 12<\/p>\n<p>Question 5.<br \/>\n108 in. = __ yd<br \/>\nAnswer: 108 in = 3 yards<\/p>\n<p>Explanation:<br \/>\nConvert from inches to yards<br \/>\n1 yard = 36 inches<br \/>\ndivide the in value by 36<\/p>\n<p>Question 6.<br \/>\n34 in. = __ ft<br \/>\nAnswer: 34 in = 2 feet 10 inches<\/p>\n<p>Explanation:<br \/>\nConvert from inches to feet<br \/>\n1 foot = 12 inches<br \/>\nDivide the in value by 12<\/p>\n<p>Compare.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15496\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-45.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 45\" width=\"128\" height=\"60\" \/><br \/>\nAnswer:<br \/>\n5 \u00d7 3\/4 ft = 45 inches<br \/>\n65 in = 5 feet 5 inches ( divide the in value by 12 )<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15497\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-46.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 46\" width=\"141\" height=\"55\" \/><br \/>\nAnswer:<br \/>\n19 in = 1 feet 7 inches<br \/>\n1 ft 5 in = 17 inches<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15498\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-47.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 47\" width=\"147\" height=\"58\" \/><br \/>\nAnswer:<br \/>\n2 mi = 10560 feet<br \/>\n10,650 ft = 2.017 miles<\/p>\n<p>Question 10.<br \/>\nA football player runs 93 yards. How many feet does he run?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15499\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-48.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 48\" width=\"197\" height=\"203\" \/><br \/>\nAnswer:<br \/>\nGiven a football player runs 93 yards<br \/>\nwe have to find how many feet does he run<br \/>\nconvert 93 yards to feet<br \/>\n93 yards = 279 feet<br \/>\nSo, therefore a football player runs 279 feet<\/p>\n<p>Question 11.<br \/>\n<strong>Precision<\/strong><br \/>\nWrite whether you would use multiplication or division for each conversion.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15500\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-49.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 49\" width=\"300\" height=\"222\" \/><br \/>\nAnswer:<br \/>\nyards to feet:- 1 yard = 3 feet ( multiply the yard value by 3 )<br \/>\nmiles to inches:- 1 mile = 63360 inches ( multiply the mile value by 63360 )<br \/>\nfeet to miles:- 1 feet = 0.000189 mile ( divide the feet value by 5280 )<br \/>\ninches to feet :- 1 inch = 0.0833 feet ( divide the inch value by 12 )<br \/>\nmiles to yards:- 1 mile = 1760 yards ( multiply the mile value by 1760 ).<\/p>\n<p>Question 12.<br \/>\n<strong>Reasoning<\/strong><br \/>\nMatch each measurement with the best customary unit of measure.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15501\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-50.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 50\" width=\"293\" height=\"152\" \/><br \/>\nAnswer:<br \/>\nthe height of jump = feet<br \/>\nlength of a crayon = inches<br \/>\nlength of river = miles<br \/>\nlength of football field = yards.<\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nHow long is the velociraptor in yards?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15502\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-51.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 51\" width=\"313\" height=\"141\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-51.png 313w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-51-300x135.png 300w\" sizes=\"(max-width: 313px) 100vw, 313px\" \/><br \/>\nAnswer:\u00a0we have to find the value of velociraptor in yards<\/p>\n<p>Explanation:<br \/>\nGiven velociraptor in ft = 28 ft<br \/>\nConverting 28 ft into yards = 28 ft = 9.333 yards<br \/>\nDivide the ft value by 3.<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou wrap a cube-shaped box with ribbon as shown. The ribbon is wrapped around all of the faces of the cube. You use 9 inches of ribbon for the bow. How many inches of ribbon do you use altogether? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15503\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-52.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 52\" width=\"174\" height=\"165\" \/><br \/>\nAnswer: Cube sides = 6<\/p>\n<p>Explanation:<br \/>\none side height = 1 feet 9 inches<br \/>\nso, 12 + 9 = 21 inches<br \/>\n6 \u00d7 21 inches = 126 inches<br \/>\n9 inches for the bow<br \/>\nso, 126 + 9 = 135 inches<br \/>\nTherefore 135 inches of ribbon is used altogether.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Find the quotient.<\/p>\n<p>Question 15.<br \/>\n3,200 \u00f7 40 = 80<br \/>\nAnswer:\u00a03,200 \u00f7 40 = 80<\/p>\n<p>Question 16.<br \/>\n5,400 \u00f7 9 = _600__<br \/>\nAnswer:\u00a05,400 \u00f7 9 = 600<\/p>\n<p>Question 17.<br \/>\n600 \u00f7 20 = _30_<br \/>\nAnswer:\u00a0600 \u00f7 20 = 30<\/p>\n<h3><a id=\"Lesson_11.4_Weight_in_Customary_Units\"><\/a>Lesson 11.4 Weight in Customary Units<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Work with a partner. Use the number line to help you complete each statement.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15504\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-53.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 53\" width=\"569\" height=\"78\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-53.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-53-300x41.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><br \/>\nThe vehicle weighs _<strong>2000<\/strong>_ pounds.<br \/>\nAnswer: 2000 pounds<\/p>\n<p>Explanation:<br \/>\n1 US ton = 2000 pounds<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15505\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-54.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 54\" width=\"257\" height=\"159\" \/><br \/>\nThe whale shark weighs _15 US_ tons.<br \/>\nAnswer:\u00a015 US tons<br \/>\nExplanation:\u00a0divide the 30,000 by 2000<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15506\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-55.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 55\" width=\"243\" height=\"204\" \/><br \/>\n<strong>Structure<\/strong><br \/>\nHow can you convert tons to pounds? How can you convert pounds to tons?<br \/>\nAnswer:<br \/>\nwe can convert tons to pounds by multiply the ton value by 2000 (i.e., 1 US ton = 2000)<br \/>\nwe can convert pounds to tons by dividing the pound value by 2000 (i.e., 1 pound = 0.0005 us ton)<\/p>\n<p><strong>Think and Grow: Convert Customary Weights<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nWhen \ufb01nding equivalent customary weights, multiply to convert from a larger unit to a smaller unit. Divide to convert from a smaller unit to a larger unit.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15507\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-56.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 56\" width=\"232\" height=\"120\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15508\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-57.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 57\" width=\"628\" height=\"265\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-57.png 628w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-57-300x127.png 300w\" sizes=\"(max-width: 628px) 100vw, 628px\" \/>A<br \/>\nAnswer: 4 \u00d7 1\/4 tons = 2000 pounds<\/p>\n<p>Explanation:<br \/>\nThere are 2000 pounds in 1 ton.<br \/>\nso, 4 \u00d7 1\/4 tons = 2000 pounds.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15509\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-58.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 58\" width=\"682\" height=\"238\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-58.png 682w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-58-300x105.png 300w\" sizes=\"(max-width: 682px) 100vw, 682px\" \/>A<br \/>\nAnswer: 40 ounces = 2.5 pounds<\/p>\n<p>Explanation:<br \/>\nConvert from ounces to pounds<br \/>\ndivide the ounces value by 16<br \/>\n40 \/ 16 = 2.5<br \/>\nso, 40 ounces is 2.5 pounds.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Convert the weight.<\/p>\n<p>Question 1.<br \/>\n9 T = __ lb<br \/>\nAnswer: 9 T = 19841.604 lb<\/p>\n<p>Explanation:<br \/>\nConvert from tonns to pounds.<br \/>\nmultiply the T value by 2205.<\/p>\n<p>Question 2.<br \/>\n6\\(\\frac{1}{2}\\) lb = __ oz<br \/>\nAnswer:\u00a06 \u00d7 \\(\\frac{1}{2}\\) lb = \\(\\frac{6}{2}\\) = 3<\/p>\n<p>Explanation:<br \/>\nConvert from pounds to ounces<br \/>\n3 lb = 48 oz<br \/>\nmultiply the lb value by 16<\/p>\n<p>Question 3.<br \/>\n6,000 lb = __ T<br \/>\nAnswer: 6,000 lb = 3 US tons<\/p>\n<p>Explanation:<br \/>\nConvert from pounds to tonn<br \/>\ndivide the lb value by 2000<\/p>\n<p>Question 4.<br \/>\n80 oz = __ lb<br \/>\nAnswer: 80 oz = 5 lb<\/p>\n<p>Explanation:<br \/>\nConvert from ounces to pounds.<br \/>\ndivide the oz value by 16<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Convert the weight.<\/p>\n<p>Question 5.<br \/>\n10,000 lb = __ T<br \/>\nAnswer: 10,000 lb = 4.536 T<\/p>\n<p>Explanation:<strong><br \/>\n<\/strong>divide the lb value by 2205.<\/p>\n<p>Question 6.<br \/>\n8 lb = __ oz<br \/>\nAnswer: 8 lb = 128 oz<\/p>\n<p>Explanation:<br \/>\nConvert from pounds to ounces.<br \/>\nmultiply the lb value by 16<\/p>\n<p>Question 7.<br \/>\n240 oz = __ lb<br \/>\nAnswer: 240 oz = 15 lb<\/p>\n<p>Explanation:<br \/>\nConvert from ounces to pounds<br \/>\ndivide the oz value by 16<\/p>\n<p>Question 8.<br \/>\n7\\(\\frac{1}{4}\\) T = ___ lb<br \/>\nAnswer:\u00a07 \u00d7 \\(\\frac{1}{4}\\) = 1.75<br \/>\n1.75 T = 3858.09 lb<\/p>\n<p>Explanation:<br \/>\nConvert from tonnes to pounds<br \/>\nmultiply the T value by 2205.<\/p>\n<p>Question 9.<br \/>\n150 oz = ___ lb __ oz<br \/>\nAnswer: 150 oz = 9.375 lb\u00a0 150 oz<\/p>\n<p>Explanation:<br \/>\nConvert from pounds to ounces<br \/>\ndivide the oz value by 16<\/p>\n<p>Question 10.<br \/>\n32,000 oz = __ T<br \/>\nAnswer: 32,000 oz = 1 US ton<\/p>\n<p>Explanation:<br \/>\nConvert from pounds to tonn<br \/>\ndivide the oz value by 32000<\/p>\n<p>Compare.<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15510\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-59.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 59\" width=\"140\" height=\"49\" \/><br \/>\nAnswer: 30 T = 60000 lb<\/p>\n<p>Explanation:<br \/>\nmultiply the T value by 2000<br \/>\n6,000 lb = 3 US tons<br \/>\ndivide the lb value by 2000<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15511\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-60.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 60\" width=\"129\" height=\"59\" \/><br \/>\nAnswer: 53 oz = 3.312 lb<\/p>\n<p>Explanation:<br \/>\ndivide the oz value by 16<br \/>\n3 \u00d7 1\/2 lb = 1.5 lb<br \/>\n1.5 lb = 0.00068 t<br \/>\ndivide the lb value by 2205<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15512\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-61.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 61\" width=\"155\" height=\"56\" \/><br \/>\nAnswer:<br \/>\n8 T = 256000 oz<\/p>\n<p>Explanation:<br \/>\nmultiply the oz value by 32000<br \/>\n224,000 oz = 7 US tons<br \/>\ndivide the oz value by 32000<\/p>\n<p>Question 14.<br \/>\nWhat is the weight of the hippopotamus in tons?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15513\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-62.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 62\" width=\"139\" height=\"135\" \/><br \/>\nAnswer:<br \/>\nGiven the weight of hippopotamus = 4000 pounds<br \/>\nconvert 4000 pounds to tons<br \/>\n4000 pounds = 2 US tons<br \/>\ndivide the pound&#8217;s value by 2000<br \/>\nso, the weight of hippopotamus in tons = 2 US tons<\/p>\n<p>Question 15.<br \/>\n<strong>Reasoning<\/strong><br \/>\nCompare 10 pounds and 165 ounces using mental math. Explain.<\/p>\n<p>Answer:<br \/>\n0 pounds = 160 ounces<br \/>\nmultiply the value of the pound by 16<br \/>\n165 ounces = 10.3125 pounds<br \/>\ndivide the value of the ounce by 16<br \/>\nBy comparing both the values 165 ounces is greater than 10 pounds.<\/p>\n<p>Question 16.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWhich measurements are equivalent to 60 ounces?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15514\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-63.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 63\" width=\"210\" height=\"92\" \/><br \/>\nAnswer:<br \/>\n3 \u00d7 3\/4 lb = 36 oz<br \/>\n3 \u00d7 1\/2 lb = 56 oz<br \/>\n3 lb 12 oz = 60 oz<br \/>\n3 lb 4 oz = 52 oz<\/p>\n<p>Explanation:<br \/>\n3 lb 12 oz measurement is equivalent to 60 ounces (oz)<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA newborn baby boy weighs 122 ounces. A newborn baby girl weighs 6 pounds 4 ounces. Which baby weighs more? How much more?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15515\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-64.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 64\" width=\"127\" height=\"205\" \/><br \/>\nConvert the weight of the boy to pounds and ounces.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15516\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-65.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 65\" width=\"576\" height=\"273\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-65.png 576w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-65-300x142.png 300w\" sizes=\"(max-width: 576px) 100vw, 576px\" \/><br \/>\nAnswer: There are 16 ounces in 1 pound.<\/p>\n<p>Explanation:<br \/>\nGiven boy weighs = 122 ounces<br \/>\n122 \/ 16 = 7.625<br \/>\n= 2 &#8211; 6 \u00d7 16 + 4 = 100 ounces<br \/>\nso, 122 &gt;100<br \/>\nBoy weigh is more than girl weigh = 22 ounces more<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 17.<br \/>\nWhich box of cereal weighs more? How much more?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15517\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-66.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 66\" width=\"200\" height=\"164\" \/><br \/>\nAnswer:<br \/>\n1\/2 pounds = 8 ounces<br \/>\n17 ounces = 1.062 pounds<\/p>\n<p>Explanation:<br \/>\n17 ounces box of cereal weighs more<br \/>\n0.562 much more<\/p>\n<p>Question 18.<br \/>\nA male rhinoceros weighs 2\\(\\frac{1}{4}\\) tons. Which rhinoceros weighs more? How much more? Write your answer as a fraction in simplest form.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15518\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-67.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 67\" width=\"165\" height=\"186\" \/><br \/>\nAnswer: male rhinoceros = 2 \u00d7 1\/4 = 2\/4 = 1\/2 tons<\/p>\n<p>Explanation:<br \/>\n1\/2 tons = 1000 pounds ( converting tons to pounds)<br \/>\nGiven in figure female rhinoceros = 3,500 lb<br \/>\n3,500 lb = 1.75 US tons ( converting pounds to tons )<br \/>\nFemale rhinoceros weigh more than male rhinoceros<br \/>\n1.75 tons &#8211; 1\/2 tons =&gt; 1.75 &#8211; 0.5 = 1.25 tons<br \/>\n1.25 tons weigh is more<br \/>\nwe can write 1.25 in simplest form as, we have 2 digits after the decimal point so multiply both numerator and denominator by 100, so that there is no decimal point in the numerator.<br \/>\n1.25 \u00d7 1001 \u00d7 100 = 125100<br \/>\n125 \/ 25100 \/ 25 = 54<br \/>\nsimplest form of 1.25 = 5\/4<\/p>\n<p>Question 19.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nCan all of the passengers listed in the table ride the boat at once? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15519\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-68.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 68\" width=\"235\" height=\"122\" \/><\/p>\n<p>Answer: Yes, all passengers who are listed on the table can ride the boat at once.<\/p>\n<p>Explanation:<br \/>\nAdd all the passenger weights 91+184+150+248+170+215+132+145+265+126+259+175\u00a0 = 2260 pounds<br \/>\nwe have to convert 2260 pounds to tons<br \/>\n2260 pounds = 1.13 US tons\u00a0 ( divide the pounds value by 2000 ).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15520\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-69.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 69\" width=\"145\" height=\"93\" \/><\/p>\n<h3><a id=\"Weight_in_Customary_Units_Homework_&amp;_Practice_11.4\"><\/a>Weight in Customary Units Homework &amp; Practice 11.4<\/h3>\n<p>Convert the weight.<\/p>\n<p>Question 1.<br \/>\n10 T = __ lb<br \/>\nAnswer: 10 T = 20000 lb<\/p>\n<p>Explanation:<br \/>\nConvert from tonn to pounds<br \/>\n1 tonn = 2000 pounds<br \/>\nmultiply the T value by 2000<\/p>\n<p>Question 2.<br \/>\n32 oz = ___ lb<br \/>\nAnswer: 32 oz = 2 pounds<\/p>\n<p>Explanation:<br \/>\nConvert from ounces to pounds<br \/>\ndivide the oz value by 16<\/p>\n<p>Question 3.<br \/>\n48,000 lb = __ T<br \/>\nAnswer:\u00a0 48,000 lb = 24 US tons<\/p>\n<p>Explanation:<br \/>\nConvert from pounds to tons<br \/>\ndivide the lb value by 2000<\/p>\n<p>Question 4.<br \/>\n50 lb = __ oz<br \/>\nAnswer: 50 lb = 800 oz<\/p>\n<p>Explanation:<br \/>\nConvert from pounds to ounces.<br \/>\nmultiply the mass value by 16<\/p>\n<p>Question 5.<br \/>\n5\\(\\frac{3}{4}\\)T = __ lb<br \/>\nAnswer: 5 \u00d7 \\(\\frac{3}{4}\\) = 15\/4 =3.75 T<br \/>\n3.75 t = 8267.1957671958 lb<\/p>\n<p>Question 6.<br \/>\n8\\(\\frac{1}{2}\\) lb = __ oz<br \/>\nAnswer: 8 \u00d7 \\(\\frac{1}{2}\\) = 8\/2 = 4 lb<br \/>\n4 lb = 64 ounces<\/p>\n<p>Explanation:<br \/>\nConvert from pounds to ounces.<br \/>\nmultiply the lb value by 16<\/p>\n<p>Question 7.<br \/>\n168 oz = __ lb __ oz<br \/>\nAnswer: 168 oz = 10.5 lb 168 oz<\/p>\n<p>Explanation:<br \/>\nConvert from ounces to pounds.<br \/>\ndivide the oz value by 16<\/p>\n<p>Question 8.<br \/>\n96,000 oz = __ T<br \/>\nAnswer:\u00a096,000 0z = 2.7216 T<\/p>\n<p>Explanation:<br \/>\nConvert from ounces to the ton.<br \/>\n96,000 0z = 2.7216 T<\/p>\n<p>Compare<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15521\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-70.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 70\" width=\"147\" height=\"46\" \/><br \/>\nAnswer:\u00a016 lb = 0.01 T<br \/>\n32,000 T = 64000000 lb<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15522\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-71.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 71\" width=\"132\" height=\"63\" \/><br \/>\nAnswer: 128 oz = 8 lb<\/p>\n<p>Explanation:<br \/>\ndivide the oz value by 16<br \/>\n8 \u00d7 1\/4 lb = 8\/4 = 2 lb<br \/>\n2 lb = 32 oz<br \/>\nmultiply the lb value by 16<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15523\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-72.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 72\" width=\"151\" height=\"54\" \/><br \/>\nAnswer:<br \/>\n11 T = 388013.581 oz<br \/>\nmultiply the T value by 35274<br \/>\n384,000 oz = 10.886 T<br \/>\ndivide the oz value by 35274<\/p>\n<p>Question 12.<br \/>\nA newborn puppy weighs 3 pounds 5 ounces. What is the weight of the puppy in ounces?<br \/>\nAnswer:<br \/>\nGiven a new born puppy weighs 3 pounds 5 ounces<br \/>\nwe have to find the weight of the puppy in ounces<br \/>\n3 pounds 5 ounces = 1500 grams<br \/>\nconvert 1500 grams to ounces<br \/>\n1500 grams = 52.911 ounces<br \/>\ndivide the value of the gram by 28.35<br \/>\nThe weight of puppy in ounces = 28.35<\/p>\n<p>Question 13.<br \/>\n<strong>Number Sense<\/strong><br \/>\nHow many tons are equal to 500 pounds? Write your answer as a fraction in simplest form.<\/p>\n<p>Answer: 500 pounds = 0.25 US tons<\/p>\n<p>Explanation:<br \/>\ndivide the value of the pound by 2000<br \/>\nwhen 0.25 reduced to the simplest form is (25\/25)(100\/25) = 14<\/p>\n<p><strong>Open-Ended<\/strong><br \/>\nComplete the statement.<\/p>\n<p>Question 14.<br \/>\n__ pounds &gt; 72 ounces<\/p>\n<p>Answer: 4.6 pounds &gt; 72 ounces<\/p>\n<p>Explanation:<br \/>\n4.6 pounds = 73.6 ounces<br \/>\nmultiply the pound&#8217;s value by 16<\/p>\n<p>Question 15.<br \/>\n13 tons &lt; __ pounds<br \/>\nAnswer: 13 tons &lt; 27000 pounds<\/p>\n<p>Explanation:<br \/>\nConvert from tons to pounds<br \/>\n1 ton = 2000 pounds<br \/>\ndivide the value of the pound by 2000.<\/p>\n<p>Question 16.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nAn employee at a juice cafe uses 10 ounces of kale and \\(\\frac{3}{4}\\) pound of apples to make a drink. Does the employee use more kale or apples? How much more?<br \/>\nAnswer: Given that an employee at a juice cafe uses of kale = 10 ounces<br \/>\nand he uses pound of apples to make a drink = 3\/4 pounds<\/p>\n<p>Explanation:<br \/>\nconverting 10 ounces to pounds = 0.625 pound<br \/>\ndivide the value of the ounce by 16<br \/>\nconverting 3\/4 pounds to ounces = 12 ounces<br \/>\n12 ounces\u00a0 is greater than 0.625 pounds<br \/>\nThe employee uses more apples than kale<br \/>\n0.125 is more.<\/p>\n<p>Question 17.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou have a 3-pound bag of clay. You use 8 ounces of clay to make an ornament. How many ornaments can you make using all of the clay?<br \/>\nAnswer:<br \/>\nGiven that you have a 3 pound bag of clay<br \/>\nyou use 8 ounces of clay to make an ornament.<br \/>\nwe have to find out the how many ornaments you can make using all of the clay<br \/>\nConverting 3 pounds to ounces is<br \/>\n3 pounds = 48 ounces ( multiply the pounds value by 16 )<br \/>\nyou have used the 8 ounces of clay to make an ornament<br \/>\nso, divide the 48 \/ 8 = 6<br \/>\nTherefore, we can make 6 ornaments by using all of the clay.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15524\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-73.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 73\" width=\"211\" height=\"145\" \/><\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Find the product. Check whether your answer is reasonable.<\/p>\n<p>Question 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15401\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-74.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 74\" width=\"75\" height=\"64\" \/><br \/>\nAnswer:\u00a0Multiply the value 145 \u00d7 12 = 1740<\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15525\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-75.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 75\" width=\"73\" height=\"60\" \/><br \/>\nAnswer: multiply the value 561 \u00d7 87 = 48,807<\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15526\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-76.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 76\" width=\"73\" height=\"57\" \/><br \/>\nAnswer: multiply the value 823 \u00d7 65 = 53,495<\/p>\n<h3><a id=\"Lesson_11.5_Capacity_in_Customary_Units\"><\/a>Lesson 11.5 Capacity in Customary Units<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Describe the relationship between cups and fluid ounces (fl oz). Then complete the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15527\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-77.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 77\" width=\"202\" height=\"161\" \/><br \/>\n1 cup is _8 US_ times as much as 1 fluid ounce.<br \/>\nAnswer:<br \/>\nRelationship between cups and fluid ounces is :-<br \/>\nA cup of water happens to equal both 8 fluid ounces ( in volume ) and 8 ounces( in weight) ,<br \/>\nso you might naturally assume that 1 cup equals to 8 ounces of weight universally in recipes.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15528\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-78.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 78\" width=\"341\" height=\"162\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-78.png 341w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-78-300x143.png 300w\" sizes=\"(max-width: 341px) 100vw, 341px\" \/><br \/>\nExplanation:<br \/>\nAbout table values<br \/>\n1 capacity (cups ) = 8 US fluid ounces\u00a0 \u00a0 ( multiply the cups value by 8 )<br \/>\n2 capacity ( cups ) = 16 US fluid ounces<br \/>\n3 capacity ( cups ) = 24 US fluid ounces<br \/>\n4 capacity ( cups ) = 32 US fluid ounces<br \/>\n<strong>Structure<\/strong><br \/>\nHow can you convert cups to fluid ounces? How can you convert fluid ounces to cups?<\/p>\n<p>Answer:<br \/>\nWe can convert cups to fluid ounces by multiplying the value of the cup by 8<br \/>\n1 cup = 8 fluid ounces<br \/>\nWe can convert fluid ounces to cups by dividing the value of the fluid ounce by 8<br \/>\n1 fluid ounce = 0.125 US cup .<\/p>\n<p><strong>Think and Grow: Convert Customary Capacities<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nWhen finding equivalent customary capacities, multiply to convert from a larger unit to a smaller unit. Divide to convert from a smaller unit to a larger unit.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15529\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-79.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 79\" width=\"245\" height=\"171\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15530\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-80.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 80\" width=\"625\" height=\"248\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-80.png 625w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-80-300x119.png 300w\" sizes=\"(max-width: 625px) 100vw, 625px\" \/><img loading=\"lazy\" class=\"alignnone size-full wp-image-15531\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-81.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 81.1\" width=\"631\" height=\"216\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-81.1.png 631w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-81.1-300x103.png 300w\" sizes=\"(max-width: 631px) 100vw, 631px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Convert the capacity<\/p>\n<p>Question 1.<br \/>\n9 gal = __ qt<br \/>\nAnswer: 9 gal = 36 Us liquid qt<\/p>\n<p>Explanation:<br \/>\nConvert from gal to quart<br \/>\n1 gal = 4 quart<br \/>\nmultiply the gal value by 4<\/p>\n<p>Question 2.<br \/>\n20 pt = __ c.<br \/>\nAnswer:\u00a020 pt = 48.038 c<\/p>\n<p>Explanation:<br \/>\nConvert from pints to cups<br \/>\nmultiply the pt value by 2.402<\/p>\n<p>Question 3.<br \/>\n42 pt = __ qt<br \/>\nAnswer: 42 pt = 25.2199 qt<\/p>\n<p>Explanation:<br \/>\nConvert from pints to quarts<br \/>\ndivide the pt value by 1.665<\/p>\n<p>Question 4.<br \/>\n68 qt = __ gal<br \/>\nAnswer:\u00a068 qt = 17 gal<\/p>\n<p>Explanation:<br \/>\nConvert from quarts to gal<br \/>\ndivide the qt value by 4<\/p>\n<p>Apply and Grow: Practice<\/p>\n<p>Convert the capacity.<\/p>\n<p>Question 5.<br \/>\n7 c = fl oz<br \/>\nAnswer: 7 c = 56 US fl oz<\/p>\n<p>Explanation:<br \/>\nConvert from cups to fluid ounces<br \/>\nmultiply the c value by 8<\/p>\n<p>Question 6.<br \/>\n6 pt = __ qt<br \/>\nAnswer: 6 pt = 3.60285 qt<\/p>\n<p>Explanation:<br \/>\nConvert from pints to quarts<br \/>\n1 pint = 0.5 quart<br \/>\ndivide the pt value by 1.665<\/p>\n<p>Question 7.<br \/>\n16 qt = __ gal<br \/>\nAnswer: 16 qt = 4 US liquid gal<\/p>\n<p>Explanation:<br \/>\nConvert from quarts to gal<br \/>\n1 quart = 0.25 gal<br \/>\ndivide the qt value by 4<\/p>\n<p>Question 8.<br \/>\n15 pt = __ c<br \/>\nAnswer: 15 pt = 36.0285 US c<\/p>\n<p>Explanation:<br \/>\nConvert from pints to cups.<br \/>\nmultiply the pt value by 2.402<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15532\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-82.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 82\" width=\"143\" height=\"55\" \/><br \/>\nAnswer:\u00a02 1\/4 c = 2\/4 = 1\/2 c<br \/>\n1\/2 c = 4 fl oz<\/p>\n<p>Compare.<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15533\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-83.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 83\" width=\"118\" height=\"44\" \/><br \/>\nAnswer:<br \/>\n14 c = 7 US liquid\u00a0 pt<br \/>\ndivide the c value by 2<br \/>\n10 pt = 24.019 US c<br \/>\nmultiply the pt value by 2.402<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15534\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-84.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 84\" width=\"129\" height=\"54\" \/><br \/>\nAnswer:<br \/>\n38 qt = 9.5 US liquid gal<br \/>\ndivide the qt value by 4<br \/>\n8 \u00d7 1\/2 = 8\/2 = 4<br \/>\n4 gal = 16 US liquid qt<br \/>\nMultiply the gal value by 4<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15535\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-85.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 85\" width=\"122\" height=\"45\" \/><br \/>\nAnswer:<br \/>\n4 gal = 26.6456pt<br \/>\nmultiply the gal value by 6.661<br \/>\n32 pt = 4.8038 US liquid gal<br \/>\ndivide the pt value by 6.661<\/p>\n<p>Question 14.<br \/>\nYou fill your turtle\u2019s aquarium with 40 pints of water. How many gallons of water do you use?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15536\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-86.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 86\" width=\"215\" height=\"107\" \/><br \/>\nAnswer:<br \/>\nGiven turtles, aquarium fill with water = 40 pints<br \/>\nwe have to find the 40 pints of water into gallons<br \/>\nconverting 40 pints to gallons<br \/>\n40 pints = 5 US liquid gallons<br \/>\nDivide the pints value by 8<br \/>\nso, therefore 5 gallons of water is used.<\/p>\n<p>Question 15.<br \/>\n<strong>Number Sense<\/strong><br \/>\nNewton\u2019s water cooler contains 1\\(\\frac{1}{2}\\) gallons of water. How many times can he fill his 16-fluid ounce canteen with water from the water cooler? Explain.<br \/>\n<strong>Answer:-<\/strong> Given newton&#8217;s water cooler contains 1 \u00d7 1\/2 = 1\/2 = 0.5 gallons<br \/>\n<strong>Explanation:-<\/strong>\u00a0 converting 0.5 gallons = 64 US fluid ounces ( multiply the gallons value by 128 )<br \/>\nGiven 16 fluid ounce<br \/>\nHe can fill 4 times his 16 fluid ounce canteen with water from the water cooler<br \/>\n( i.e., 16 \u00d7 4 = 64 fluid ounce ) .<\/p>\n<p>Question 16.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nOrder the capacities from least to greatest. Explain how you converted the capacities.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15537\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-87.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 87\" width=\"331\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-87.png 331w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-87-300x61.png 300w\" sizes=\"(max-width: 331px) 100vw, 331px\" \/><br \/>\nAnswer:<br \/>\ni. 8 \u00d7 1\/2 c =&gt; 8\/2 = 4 c<br \/>\n4 c = 32 fl oz ( multiply the c value by 8 )<br \/>\n<span style=\"font-size: 16px;\">ii. 72 fl oz = 9 US c<br \/>\n<\/span>divide the fl oz value by 8<br \/>\niii. 7 \u00d7 3\/4 c =&gt; 21\/4 = 5.25 c<br \/>\n5.25 c = 42 fl oz<br \/>\niv. 56 fl oz = 7 c<br \/>\ndivide the fl oz value by 8<br \/>\nOrder of capacities from least to greatest = 8 \u00d7 1\/2 c , 7 \u00d7 3\/4c , 56 fl oz , 72 fl oz .<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA car\u2019s engine contains 4\\(\\frac{1}{2}\\) quarts of oil. Can a mechanic use a 24-cup container to drain all of the oil?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15538\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-88.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 88\" width=\"215\" height=\"149\" \/><br \/>\nFirst, convert the quarts of oil to pints.<br \/>\nThere are __2pints in 1 quart.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15539\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-89.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 89\" width=\"623\" height=\"332\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-89.png 623w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-89-300x160.png 300w\" sizes=\"(max-width: 623px) 100vw, 623px\" \/><br \/>\nAnswer:<br \/>\nGiven car engine contains = 4 \u00d7 1\/2 quarts = 4\/2 = 2 quarts<\/p>\n<p>Explanation:<br \/>\n2 quarts = 4 pints<br \/>\nmultiply the quarts value by 2<br \/>\n1 pint = 2 cups<br \/>\nconverting 2 quarts to cups<br \/>\n2 quarts = 8 cups<br \/>\nmultiply the quarts value by 4<br \/>\nSo, a mechanic can use just 8 cups<br \/>\n8 cups are enough to drain engine oil.<br \/>\n<strong>Show and Grow<\/strong><\/p>\n<p>Question 17.<br \/>\nAn adult has 192 fluid ounces of blood in his body. How many pints of blood are in his body?<br \/>\nAnswer: Given an adult has 192 fluid ounces of blood in his body<br \/>\nwe have to find the pints of blood in his body<br \/>\nConverting 192 fluid ounces to pints<br \/>\n192 fluid ounces = 12 US liquid pints<br \/>\ndivide the value of the fluid ounce by 16<br \/>\nTherefore, 12 pints of blood are in his body.<\/p>\n<p>Question 18.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou make 4\\(\\frac{1}{2}\\) cups of soup. One serving is 12 fluid ounces. How many servings of soup do you make?<br \/>\nAnswer:<br \/>\nGiven 4 \u00d7 1\/2 cups of soup<br \/>\n4 \u00d7 1\/2 = 4\/2 = 2 cups of soup<br \/>\n2 cups of soup converting to fluid ounces<br \/>\n2 US cups = 16 US fluid ounces<br \/>\nGiven that serving = 12 fluid ounces<br \/>\nSubtract\u00a0 16 fluid ounces &#8211; 12 fluid ounces = 4 fluid ounces<br \/>\nso, therefore you can make servings of soup in 4 fluid ounces.<\/p>\n<p>Question 19.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA scientist has two beakers of a solution, one containing 5 cups and the other containing 1\\(\\frac{1}{2}\\) pints. How many gallons of the solution does the scientist have? Write your answer as a fraction in simplest form.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15540\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-90.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 90\" width=\"169\" height=\"166\" \/><br \/>\nAnswer:<br \/>\nGiven that scientist has two beakers of solution one contains 5 cups and other contains<br \/>\n1 \u00d7 1\/2 pints.<br \/>\nwe have to find gallons of solution<br \/>\nConverting 5 cups to gallons<br \/>\n5 cups = 0.312 US gallons<br \/>\nConverting 1 \u00d7 1\/2 pints to gallons<br \/>\n1 \u00d7 1\/2 =&gt; 1\/2 = 0.5 pints<br \/>\n0.5 pints = 0.0625 US gallons<br \/>\nBy adding both the solutions ( i.e., )<br \/>\n5 cups + 0.5 pints<br \/>\n0.312 gallons + 0.0625 gallons = 0.3745 gallons<br \/>\nSo, the scientist has 0.3745 gallons of solution.<br \/>\n0.3745 in simplest form we can write as\u00a0 749 \/ 2000.<\/p>\n<h3><a id=\"Capacity_in_Customary_Units_Homework_&amp;_Practice_11.5\"><\/a>Capacity in Customary Units Homework &amp; Practice 11.5<\/h3>\n<p>Convert the capacity<\/p>\n<p>Question 1.<br \/>\n9 pt = __ c<br \/>\nAnswer: 9 pt = 18 c<\/p>\n<p>Explanation:\u00a0multiply the pt value by 2<\/p>\n<p>Question 2.<br \/>\n72 fl oz = ___ c<br \/>\nAnswer: 72 fl oz = 9 c<\/p>\n<p>Explanation:<br \/>\nConvert from fluid ounces to cups.<br \/>\n1 fl oz = 0.125 c<br \/>\ndivide the fl oz value by 8<\/p>\n<p>Question 3.<br \/>\n6 c = __ fl oz<br \/>\nAnswer: 6 c = 48 fl oz<\/p>\n<p>Explanation:<br \/>\nConvert from cups to fluid ounces<br \/>\n1 cup = 6 fluid ounces<br \/>\n6 cups = 6 \u00d7 8 fluid ounces<br \/>\nmultiply the c value by 8<br \/>\nThus 6 c = 48 fl oz<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15541\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-91.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 91\" width=\"151\" height=\"63\" \/><br \/>\nAnswer: 3 3\/4 gal = 15 qt<\/p>\n<p>Explanation:<br \/>\nConvert from gal to quart<br \/>\n1 gal = 4 quart<br \/>\n4\u00a0 \u00d7 15\/4 gal = 15 qt<br \/>\nmultiply the gal value by 4<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15542\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-92.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 92\" width=\"133\" height=\"59\" \/><br \/>\nAnswer: 5 1\/2 qt = 11 pt<\/p>\n<p>Explanation:<br \/>\nConvert from quarts to pints<br \/>\n1 quart = 2 pints<\/p>\n<p>multiply the qt value by 2<br \/>\n5 1\/2 = 11\/2<br \/>\n11\/2 \u00d7 2 = 11 pints<\/p>\n<p>Question 6.<br \/>\n40 pt = __ gal<br \/>\nAnswer: 40 pt = 5 gal<\/p>\n<p>Explanation:<br \/>\nConvert from pints to gal<br \/>\n1 pint = 0.125 gal<br \/>\n40 pint = 40 \u00d7 0.125 = 5 gal<br \/>\nThus 40 pt = 5 gal<\/p>\n<p>Question 7.<br \/>\n64 qt = __ c<br \/>\nAnswer:\u00a064 qt = 256 c<br \/>\nExplanation:<br \/>\nConvert from quarts to cup<br \/>\n1 quart = 4 cups<br \/>\nmultiply the qt value by 4<\/p>\n<p>Question 8.<br \/>\n112 fl oz = __ pt<br \/>\nAnswer:\u00a0112 fl oz = 7 US liquid pt<br \/>\nExplanation:\u00a0divide the fl oz value by 16<\/p>\n<p>Compare.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15543\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-93.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 93\" width=\"126\" height=\"54\" \/><br \/>\nAnswer:<br \/>\n48 qt = 12 gal<br \/>\ndivide the qt value by 4<br \/>\n12 gal = 48 qt<br \/>\nmultiply the gal value by 4<br \/>\nTherefore 48 qt = 12 gal<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15544\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-94.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 94\" width=\"131\" height=\"58\" \/><br \/>\nAnswer: 24 fl oz = 3 c<br \/>\ndivide the fl oz value by 8<br \/>\n3 \u00d7 1\/4 c = 3\/4 c = 6 fl oz<br \/>\nmultiply the 3\/4 c value by 8<br \/>\nTherefore 24 fl oz is greater than 3 \u00d7 1\/4 c<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15545\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-95.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 95\" width=\"113\" height=\"46\" \/><br \/>\nAnswer:<br \/>\n10 qt = 40 c<br \/>\nmultiply the qt value by 4<br \/>\n24 c = 6 qt<br \/>\ndivide the c value by 4<br \/>\nSo, therefore 10 qt is greater than 24 c.<\/p>\n<p>Question 12.<br \/>\nYou buy 2 gallons of apple cider. How many cups of apple cider do you buy?<\/p>\n<p>Answer:<br \/>\nGiven that 2 gallons of apple cider<br \/>\nwe have to find the cups of apple cider<br \/>\nConverting 2 gallons to Cups<br \/>\n2 gallons = 32 cups<br \/>\nmultiply the gallons value by 16<br \/>\nSo, you buy the 32 cups of apple cider.<\/p>\n<p>Question 13.<br \/>\n<strong>Logic<\/strong><br \/>\nYour friend makes a table of equivalent capacities. Write two pairs of customary units represented by the chart.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15546\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-96.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 96\" width=\"154\" height=\"170\" \/><br \/>\nAnswer:<br \/>\nWe can relate the numbers as they are resembling quarts to cups relation and gallons to quarts relation.<br \/>\nTwo pairs of the customary unit represented by the chart are :-<br \/>\n1 quart = 4 cups\u00a0 \u00a0 \u00a01 gallon = 4 quarts<br \/>\n2 quart = 8 cups\u00a0 \u00a0 \u00a0 2 gallon = 8 quarts<br \/>\nQuestion 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWhich measurements are greater than 16 pints?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15547\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-97.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 97\" width=\"441\" height=\"86\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-97.png 441w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-97-300x59.png 300w\" sizes=\"(max-width: 441px) 100vw, 441px\" \/><br \/>\nAnswer:<br \/>\nConverting fluid ounces to pints<br \/>\n300 fluid ounces = 18.75\u00a0 pints ( divide the value of the fluid ounce by 16 )<br \/>\nConverting cups to pints<br \/>\n28 cups = 14 pints ( divide the value of the cup by 2 )<br \/>\nConverting quarts to pints<br \/>\n10 quarts = 20 pints ( multiply the quarts value by 2 )<br \/>\nConverting gallon to pints<br \/>\n1 gallon = 8 pints ( multiply the gallon value by 8 )<br \/>\nConverting fluid ounces to pints<br \/>\n275 fluid ounces = 17.188 pints ( divide the value of the fluid ounce by 16 )<br \/>\nConverting cups to pints<br \/>\n35 cups = 17.5 pints ( divide the value of the cup by 2 )<br \/>\nTherefore, 300 fluid ounces, 10 quarts, 275 fluid ounces, 35 cups measurements are greater than 16 pints<\/p>\n<p>Question 15.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYour friend buys 8 quarts of frozen yogurt. How many cups of frozen yogurt does she buy?<br \/>\nAnswer: Given that quart of frozen yogurt = 8<\/p>\n<p>Explanation:<br \/>\nwe have to find cups of frozen yogurt<br \/>\nconverting 8 quarts to cups<br \/>\n8 quarts = 32 cups ( multiply the quarts value by 4 )<br \/>\nTherefore, she buys 32 cups of frozen yogurt<\/p>\n<p>Question 16.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA recipe calls for 2\\(\\frac{1}{4}\\) cups of milk. You want to make 2 batches of the recipe. Should you buy a pint, quart, or half gallon of milk?<br \/>\nAnswer: Given 2 \u00d7 1\/4 =&gt; 2\/4 = 1\/2 cups of milk<\/p>\n<p>Explanation: we want to make 2 batches of recipe (i.e., 2 \u00d7 1\/2 = 1 cup )<br \/>\n1 pint = 2 cups<br \/>\n1 cup = 1\/2 pint<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 17.<br \/>\n0.5 \u00d7 0.7 = _0.35_<br \/>\nAnswer:<br \/>\nmultiply the 0.5 \u00d7 0.7 = 0.35<\/p>\n<p>Question 18.<br \/>\n46.2 \u00d7 0.68 = _31.416_<br \/>\nAnswer:<br \/>\nmultiply the 46.2 \u00d7 0.68 = 31.416<\/p>\n<p>Question 19.<br \/>\n1.4 \u00d7 0.3 = _0.42_<br \/>\nAnswer:<br \/>\nmultiply the 1.4 \u00d7 0.3 = 0.42<\/p>\n<h3><a id=\"Lesson_11.6_Make_and_Interpret_Line_Plots\"><\/a>Lesson 11.6 Make and Interpret Line Plots<\/h3>\n<p><strong>Explore and Grow<\/strong><br \/>\nMeasure and record your height to the nearest quarter of a foot. Collect the heights of all the students in your class and create a line plot of the results.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15548\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-98.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 98\" width=\"251\" height=\"252\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-98.png 251w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-98-150x150.png 150w\" sizes=\"(max-width: 251px) 100vw, 251px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15549\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-99.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 99\" width=\"410\" height=\"62\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-99.png 410w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-99-300x45.png 300w\" sizes=\"(max-width: 410px) 100vw, 410px\" \/><br \/>\n<strong>Construct Arguments<\/strong><br \/>\nMake two conclusions from the line plot.<\/p>\n<p><strong>Think and Grow: Make Line Plots<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nThe table shows the amounts of water that 10 students use for a science experiment. Make a line plot to display the data. How many students use more than \\(\\frac{1}{2}\\) cup?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15550\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-100.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 100\" width=\"233\" height=\"134\" \/><br \/>\n<strong>Step 1:<\/strong> Write the data values as fractions with a common denominator.<br \/>\nThe denominators of the data values are 2, 4, and 8. Because 2 and 4 are factors of 8, use a denominator of 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15552\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-101.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 101\" width=\"473\" height=\"66\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-101.png 473w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-101-300x42.png 300w\" sizes=\"(max-width: 473px) 100vw, 473px\" \/><br \/>\n<strong>Step 2:<\/strong> Use a scale on a number line that shows all of the data values.<br \/>\n<strong>Step 3:<\/strong> Mark an X for each data value.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15551\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-101.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 101.1\" width=\"661\" height=\"255\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-101.1.png 661w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-101.1-300x116.png 300w\" sizes=\"(max-width: 661px) 100vw, 661px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nThe table shows the distance your friend swims each day for 10 days. Make a line plot to display the data.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15553\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-102.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 102\" width=\"639\" height=\"200\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-102.png 639w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-102-300x94.png 300w\" sizes=\"(max-width: 639px) 100vw, 639px\" \/><br \/>\nHow many days does your friend swim \\(\\frac{3}{4}\\) mile or more?<br \/>\nAnswer:- From the table we observed that your friend swim 3\/4 miles or more than 3\/4 miles in\u00a0 6 days.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Question 2.<br \/>\nThe table shows the amounts of mulch a landscaping company orders on 10 different days. Make a line plot to display the data.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15554\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-103.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 103\" width=\"622\" height=\"253\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-103.png 622w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-103-300x122.png 300w\" sizes=\"(max-width: 622px) 100vw, 622px\" \/><br \/>\nWhat do you notice about the data?<br \/>\nAnswer:<br \/>\nFrom the table we observed that except 1\/4 and 1\/2 the remaining days like 7\/8 and 3\/4 company use more than 1\/2 ton of mulch .<\/p>\n<p>Question 3.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYour teacher has the three packages of seeds shown. She divides the first package into bags weighing \\(\\frac{1}{2}\\) ounce each. She divides the second package into bags weighing \\(\\frac{1}{4}\\) ounce each. She divides the third package into bags weighing \\(\\frac{1}{8}\\) ounce each. Find the total number of bags of seeds. Use a line plot to display the results.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15555\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-104.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 104\" width=\"588\" height=\"246\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-104.png 588w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-104-300x126.png 300w\" sizes=\"(max-width: 588px) 100vw, 588px\" \/><br \/>\nAnswer:<br \/>\nGiven that we observed from figures each bag is 2 ounces<br \/>\nExplanation:<br \/>\ngiven 1st bag = 1\/2 ounce each<br \/>\n2 ounces = 1\/2 + 1\/2 +1\/2 + 1\/2 = 4(1\/2) = 2<br \/>\n4 bags<br \/>\n2nd bag = 1\/4 ounce each<br \/>\n2 ounces = 1\/4 + 1\/4 +1\/4 +1\/4 + 1\/4 + 1\/4 + 1\/4 + 1\/4<br \/>\n= 8 (1\/4) = 2<br \/>\n8 bags<br \/>\n3rd bag = 1\/8 ounce each<br \/>\n2 ounces = 1\/8 + 1\/8 + 1\/8 + 1\/8 + 1\/8 + 1\/8 + 1\/8 + 1\/8 + 1\/8 + 1\/8 + 1\/8 + 1\/8 + 1\/8 + 1\/8 + 1\/8 + 1\/8<br \/>\n= 16 (1\/8) = 2<br \/>\n16 bags<br \/>\nTotal number of bags of seeds = 4 bags + 8 bags + 16 bags = 28 bags<br \/>\n<strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYou record the amounts of time you skateboard each day for 8 days. Your friend skateboards the same total amount of time, but for an equal number of hours each day. How long does your friend skateboard each day?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15557\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-105.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 105\" width=\"214\" height=\"184\" \/><br \/>\n<strong>Step 1:<\/strong> You and your friend skateboard the same total amount of time. Use the line graph to \ufb01nd the number of hours you each skateboard.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15556\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-105.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 105.1\" width=\"632\" height=\"245\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-105.1.png 632w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-105.1-300x116.png 300w\" sizes=\"(max-width: 632px) 100vw, 632px\" \/><br \/>\n<strong>Step 2:<\/strong> Divide the number of hours by the number of days.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15558\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-106.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 106\" width=\"517\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-106.png 517w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-106-300x53.png 300w\" sizes=\"(max-width: 517px) 100vw, 517px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 4.<br \/>\nYou record the amounts of trail mix you pour into 12 bags. Your friend has the same total amount of trail mix, but equally divides it among 12 bags. How much trail mix does your friend pour into each bag?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15559\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-107.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 107\" width=\"251\" height=\"199\" \/><br \/>\nAnswer:- your friend pour trail mix into each bag is equal to the amount of trail mix you pour into the bag.<\/p>\n<h3><a id=\"Make_and_Interpret_Line_Plots_Homework_&amp;_Practice_11.6\"><\/a>Make and Interpret Line Plots Homework &amp; Practice 11.6<\/h3>\n<p>Question 1.<br \/>\nThe table shows the amounts of time that 10 students take to land three balls in a row in a game. Make a line plot to display the data. How many pygmy marmosets weigh more than \\(\\frac{1}{2}\\) ounce?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15560\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-108.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 108\" width=\"641\" height=\"274\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-108.png 641w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-108-300x128.png 300w\" sizes=\"(max-width: 641px) 100vw, 641px\" \/><br \/>\nAnswer: Here 1\/2 = 0.5 ounce<br \/>\nExcept 1\/2 ounce<br \/>\n5\/8 , 7\/8 , 3\/4 ounces pygmy weighs more than 1\/2 ounce.<\/p>\n<p>Use the table.<\/p>\n<p>Question 2.<br \/>\nThe table shows the amounts of berries required to make 10 different smoothie recipes. Make a line plot to display the data.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15561\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-109.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 109\" width=\"259\" height=\"99\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15562\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-110.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 110\" width=\"623\" height=\"220\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-110.png 623w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-110-300x106.png 300w\" sizes=\"(max-width: 623px) 100vw, 623px\" \/><br \/>\nAnswer: The most common amount of berries required is 3\/4<br \/>\nSix times as many recipes use 3\/4 cup of berries as 1\/4 cup of berries<br \/>\nfrom table 4 \u00d7 (3\/4) = 12\/4 = 3<br \/>\n2 \u00d7 (1\/4) = 2\/4 = 1\/2<br \/>\n= 3\/(1\/2) = 6<\/p>\n<p>Question 3.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nHow many total cups of berries are needed to make one of each smoothie?<br \/>\nAnswer:\u00a0Total 2 to 3 cups of berries are needed to make one of each smoothie.<\/p>\n<p>Use the line plot.<\/p>\n<p>Question 4.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThe line plot shows the number of miles you run each day for 10 days. Your friend runs the same total number of miles, but runs an equal number of miles each day. How far does your friend run each day?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15563\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-111.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 111\" width=\"275\" height=\"187\" \/><br \/>\nAnswer: Your friend runs 4\/5 miles each day for 10 days<\/p>\n<p>Expla<span style=\"font-size: 16px;\">nation:\u00a00 + 0 + 0.5 + 0.5 + 0.5 + 1 + 1 + 1 + 1.5+ 2 = 8<br \/>\n<\/span>He runs same miles each day = 8\/10 = 0.8<br \/>\n0.8 = 4\/5<br \/>\nQuestion 5.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYour cousin runs a total amount that is 6 times as far as your friend runs in one day. How far does your cousin run?<br \/>\nAnswer: Let us assume that, If the friend runs 0.8 per day<\/p>\n<p>Explanation:\u00a00.8 = 4\/5<br \/>\nso, cousin run 6 times more than a friend<br \/>\nso, 6 \u00d7 0.8 = 4.8 ( cousin runs per day is 4.8 )<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 6.<br \/>\n561 \u00f7 7 = 80.142<br \/>\nAnswer:\u00a0divide the 561 \u00f7 7 = 80.142<\/p>\n<p>Question 7.<br \/>\n3,029 \u00f7 4 = 757.25<br \/>\nAnswer:\u00a0divide the 3,029 \u00f7 4 = 757.25<\/p>\n<p>Question 8.<br \/>\n2,814 \u00f7 9 = 312.6<br \/>\nAnswer: divide the 2,814 \u00f7 9 = 312.6<\/p>\n<h3><a id=\"Lesson_11.7_Problem_Solving:_Measurement\"><\/a>Lesson 11.7 Problem Solving: Measurement<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Make a plan to solve the problem.<br \/>\nA fruit vendor sells fruit by the pound. You have a tote that can hold up to 4 pounds. A bag of oranges weighs 2\\(\\frac{1}{4}\\) pounds. A bag of apples weighs 28 ounces. Can your tote hold both bags of fruit? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15564\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-112.1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 112.1\" width=\"221\" height=\"152\" \/><br \/>\nAnswer: Given that vendor sells fruit by the pound.<\/p>\n<p>Explanation:<br \/>\nThe tote can hold up to 4 pounds<br \/>\nA bag of oranges weighs = 2 \u00d7 1\/4 = 2\/4 = 1\/2 pounds<br \/>\nA bag of apples weighs = 28 ounces<br \/>\nwe have to find that can tote to hold both bags<br \/>\nConvert 28 ounces to pounds<br \/>\n28 ounces = 1.75 pounds ( divide the value of the ounce by 16 )<br \/>\nGiven in question that tote can hold up to 4 pounds<br \/>\nso, adding 1\/2 pounds and 1.75 pounds<br \/>\n= 1\/2 pounds = 0.5<br \/>\n0.5 pounds + 1.75 pounds = 2.25 pounds<br \/>\nTherefore tote holds both the bags of fruit.<\/p>\n<p><strong>Precision<\/strong><br \/>\nWhich bag of fruit is heavier? Explain.<br \/>\nAnswer: Bag of apple is heavier ( i.e., a bag of apple weighs 28 ounces )<\/p>\n<p>Explanation:<br \/>\n28 ounces = 1.75 pounds<br \/>\nbag of orange is 0.5 pounds<br \/>\n1.74 &gt; 0.5\u00a0 (So, apple bag weigh is heavier)<\/p>\n<p><strong>Think and Grow: Problem Solving: Measurement<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA recipe calls for 2\\(\\frac{1}{4}\\) cups of milk. You have \\(\\frac{1}{4}\\) pint of whole milk and 1\\(\\frac{1}{2}\\) cups of skim milk. Do you have enough milk for the recipe?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15565\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-112.2.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 112.2\" width=\"99\" height=\"128\" \/><br \/>\nAnswer:\u00a0Given that , a recipe calls for 2 \u00d7 1\/4 cups of milk<br \/>\nExplanation: 2 \u00d7 1\/4 =&gt; 1\/2 = 0.5 cups of milk<br \/>\nyou have 1\/4 pint of milk = 0.25 pints<br \/>\n0.25 pints = 0.5 cups<br \/>\nand 1 \u00d7 1\/2 cups of skim milk =&gt; 1\/2 = 0.5 cups<br \/>\nRecipe calls for 0.5 cups of milk<br \/>\nYes, we have enough milk for the recipe.<\/p>\n<p><strong>Understand the Problem<\/strong><\/p>\n<p>What do you know?<\/p>\n<ul>\n<li>The recipe calls for 2 cups of milk.<\/li>\n<li>You have \\(\\frac{1}{4}\\) pint of whole milk and 1\\(\\frac{1}{2}\\) cups of skim milk.<\/li>\n<\/ul>\n<p>What do you need to find?<\/p>\n<p>You need to find whether you have enough milk for the recipe.<br \/>\nAnswer:\u00a0Given that recipe calls for 2 cups of milk<br \/>\nyou have 1\/4 pint of whole milk =&gt; 1\/4 pint = 0.25 pint<br \/>\n0.25 pint = 0.5 cups<br \/>\nand 1 \u00d7 1\/2 cups of skim milk =&gt; 1\/2 cups = 0.5 cups<br \/>\nadding cups values =&gt; 0.5 + 0.5 = 1<br \/>\nSo, you don&#8217;t have enough milk for the recipe .<\/p>\n<p><strong>Make a Plan<\/strong><br \/>\nHow will you solve?<\/p>\n<ul>\n<li>Convert \\(\\frac{1}{4}\\) pint of whole milk to cups.<\/li>\n<li>Add the amounts of whole milk and skim milk.<\/li>\n<li>Compare the amount of milk you have to the amount needed.<\/li>\n<\/ul>\n<p><strong>Solve<\/strong><br \/>\n<strong>Step 1:<\/strong> Convert \\(\\frac{1}{4}\\) pint to cups.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15566\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-112.3.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 112.3\" width=\"261\" height=\"130\" \/><br \/>\n<strong>Step 2:<\/strong> Add the amounts of whole milk and skim milk.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15567\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-113.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 113\" width=\"251\" height=\"143\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15568\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-114.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 114\" width=\"272\" height=\"51\" \/><br \/>\nAnswer:\u00a0So, you _1.5_cups have enough milk for the recipe.<br \/>\n2\/4 cups = 1\/2<br \/>\n1\/2 = 0.5 cups<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nExplain how you can check whether the answer above is reasonable.<br \/>\nAnswer:\u00a0 By calculating we get whole milk = 0.5 cups<br \/>\nBy calculating we get skim milk =\u00a0 0.5 cups<br \/>\nBy adding whole milk and skim milk =&gt; 0.5 + 0.5 = 1 cup<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p>Understand the problem. What do you know? What do you need to find? Explain.<\/p>\n<p>Question 2.<br \/>\nYour friend buys 1 pound of walnuts, 16 ounces of peanuts, and \\(\\frac{1}{2}\\) pound of cashews. How many ounces do the nuts weigh in all?<br \/>\nAnswer:\u00a0Given walnuts = 1 pounds<br \/>\npeanuts = 16 ounces<br \/>\ncashews = 1\/2 pounds<br \/>\nwe have to find weight of all nuts in ounces<br \/>\nExplanation: walnuts = 1pounds<br \/>\nconverting pounds to ounces<br \/>\n1 pounds = 16 ounces<br \/>\npeanuts = 16 ounces<br \/>\ncashews = 1\/2 pounds<br \/>\nconverting pounds to ounces<br \/>\n1\/2 pounds = 8 ounces<br \/>\nAdding peanuts , cashews , walnuts weight = 16 + 8 + 16 = 40 ounces<br \/>\nThe nuts weigh in all = 40 ounces<\/p>\n<p>Question 3.<br \/>\nA bottle of orange juice contains 64 fluid ounces. How many cups of orange juice are in 3 bottles?<\/p>\n<p>Understand the problem. Then make a plan. How will you solve? Explain.<br \/>\nAnswer:<br \/>\nGiven that a bottle of orange juice contains = 64 fluid ounces.<br \/>\nConverting 64 fluid ounces to cups<br \/>\n64 fluid ounces = 8 cups<br \/>\n8cups \u00d7 3 bottles = 8 \u00d7 3 = 24 cups<\/p>\n<p>Question 4.<br \/>\nYour friend wants to buy curtains that hang from the top of the window to the floor. Curtain lengths are typically measured in inches. What length curtains should he buy?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15569\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-115.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 115\" width=\"226\" height=\"181\" \/><br \/>\nAnswer:<br \/>\nGiven the length ( ft ) values in figure<br \/>\nwe have to measure ft value in inches<br \/>\n5 ft = 60 inches<br \/>\n3 ft = 36 inches\u00a0 ( He should by 60 inches and 30 inches length curtains ).<\/p>\n<p>Question 5.<br \/>\nYour friend runs a total distance of 1 kilometer at track practice by running 100-meter hurdles. How many times does he run the hurdles?<br \/>\nAnswer:\u00a0Given your friend runs a total distance = 1 km<br \/>\nConvert 1 km to meters<br \/>\n1 km = 1000 meters<br \/>\nyour friend practice 100 meter hurdles by running<br \/>\nso 100 \u00d7 10 = 1000<br \/>\nso , 10 times he run the hurdles<\/p>\n<p>Question 6.<br \/>\nA trailer can carry 13\\(\\frac{1}{2}\\) tons. It has room to carry 6 cars at once. Can the trailer carry 6 cars that each weigh 3,800 pounds? Explain.<\/p>\n<p>Answer:\u00a0Convert tons to pounds<br \/>\n13 \u00d7 1\/2 tons = 13000 pounds<br \/>\nGiven total 6 cars<br \/>\neach car weigh 3,800 pounds<br \/>\nso, 6 cars \u00d7 3,800 pounds = 6 \u00d7 3,800 = 22,800 pounds<br \/>\nso, the trailer cannot carry 6 cars at once<\/p>\n<p>Question 7.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou walk your dog 4 laps around the block each day. Each block is 400 meters. How many total kilometers do you walk your dog around the block after 35 weeks?<br \/>\nAnswer:\u00a0Given, you walk your dog around the block each day = 4 laps<br \/>\nEach block = 400 meters<\/p>\n<p>Explanation: There are 7 days in a week<br \/>\ngiven 35 weeks<br \/>\n4 \u00d7 400 \u00d7 7 \u00d7 35 = 392000 meters<br \/>\nConvert 392000 meters to km<br \/>\n392000 meters = 392 km<br \/>\nTherefore, 392 km you walk your dog around the block after 35 weeks<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nA crew member needs to put a temporary fence around the perimeter of the rectangular football field. How many feet of temporary fencing does the crew member need?<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-15570\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-116.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 116\" width=\"164\" height=\"254\" \/><br \/>\n<strong>Step 1:<\/strong> Convert the length of the field to feet.<br \/>\nThere are __ feet in 1 yard.<br \/>\n120 \u00d7 __ = __<br \/>\nThe length of the field is __ feet.<br \/>\n<strong>Step 2:<\/strong> Use a formula to find the perimeter of the field.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15571\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-117.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 117\" width=\"573\" height=\"146\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-117.png 573w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-117-300x76.png 300w\" sizes=\"(max-width: 573px) 100vw, 573px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 8.<br \/>\nAn artist puts a wood border around the perimeter of the rectangular mural. How many feet of wood does the artist need?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15572\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-118.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 118\" width=\"216\" height=\"183\" \/><br \/>\nAnswer:\u00a01 yard = 3 feet<br \/>\nGiven 10\/3 yd = 3.33 yd<br \/>\n3.33 yd \u00d7 3 = 9.99 feet<br \/>\nperimeter of rectangular mural<br \/>\np = ( 2 \u00d7 L ) + ( 2 \u00d7 W )<br \/>\n=\u00a0 2 \u00d7 \u00a08 + 2 \u00d7 9.99<br \/>\n= 16 + 19.98<br \/>\n= 35 feet<br \/>\nArtist need 35 feet of wood .<\/p>\n<p>Question 9.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe sports jug contains 5 gallons of water. The paper cup holds 8 fluid ounces of water. How many paper cups can 3 sports jugs fill? Justify your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15573\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-119.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 119\" width=\"232\" height=\"189\" \/><br \/>\nAnswer: Convert 5 gallons of water to fluid ounces<\/p>\n<p>Explanation:<br \/>\n5 gallons = 640 fluid ounces<br \/>\nGiven paper, cup holds = 8 fluid ounces of water<br \/>\n1 sport jug = 5 gallons<br \/>\n3 sport jugs = 3 \u00d7 5 = 15 gallons<br \/>\n15 gallons = 1920 fluid ounces<br \/>\n8 \u00d7 240 = 1920<br \/>\n240 paper cups can fill 3 sports jug .<\/p>\n<h3><a id=\"Problem_Solving:_Measurement_Homework_&amp;_Practice_11.7\"><\/a>Problem Solving: Measurement Homework &amp; Practice 11.7<\/h3>\n<p>Understand the problem. Then make a plan. How will you solve? Explain.<\/p>\n<p>Question 1.<br \/>\nA robotic insect has a mass of 80 milligrams. The mass of a quarter is 5.67 grams. How many more grams is the mass of a quarter than the mass of the robotic insect?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15423\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-120.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 120\" width=\"281\" height=\"132\" \/><br \/>\nAnswer:\u00a0Given robotic insect mass = 80 milligrams<br \/>\nThe mass of quarter = 5.67 grams<br \/>\nConvert 80 milligrams to grams<br \/>\n80 milligrams = 0.008 grams<br \/>\nsubtract 5.67 grams &#8211; 0.008 grams = 5.662<br \/>\nTherefore the mass of quarter\u00a0 5.662 grams is more than the mass of robotic insect<\/p>\n<p>Question 2.<br \/>\nNewton pours water out of a filled 2-liter beaker. Now it only has 1,025 milliliters of water in it. How many milliliters of water did Newton pour out?<br \/>\nAnswer: Given newton pours water out of a filled beaker = 2 Liters<\/p>\n<p>Explanation:<br \/>\nNow it has water = 1,025 milliliters<br \/>\nConvert 2 Liters to millimeters<br \/>\n2 liters = 2000 milliliters<br \/>\n2000 &#8211; 975 = 1,025<br \/>\nNewton pour out\u00a0 975 millimeters of water<\/p>\n<p>Question 3.<br \/>\nYou run 5 laps around a track. Each lap is 400 meters. How many total kilometers do you run?<br \/>\nAnswer:\u00a0Given you run 5 laps around a track<br \/>\nEach lap = 400 meters<\/p>\n<p>Explanation:<br \/>\n5 \u00d7 400 = 2000 meters<br \/>\nconvert meters to kilometers<br \/>\n2000 meters = 2 kilometers<br \/>\nTherefore you run 2 kilometers<\/p>\n<p>Question 4.<br \/>\nTwo hotel workers have a total of 30 bags of luggage each weighing 50 pounds. One worker weighs 150 pounds, and the other weighs 210 pounds. Can they transfer themselves and all of the bags in the elevator at once? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15422\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-120.1.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 120.1\" width=\"143\" height=\"85\" \/><br \/>\nAnswer:<br \/>\nGiven in figure elevator weight limits = 2.5 tons<\/p>\n<p>Explanation:<br \/>\nConvert 2.5 tons to pounds<br \/>\n2.5 tons = 5000 pounds<br \/>\nGiven works have total 30 bags<br \/>\n1 bag weight = 50 pounds<br \/>\n30 bags weight = 50 \u00d7 30 = 1500 pounds<br \/>\nGiven one worker weight = 150 pounds<br \/>\nsecond worker weight = 210 pounds<br \/>\nBy adding all the values 1500 + 150 + 210 = 1860 pounds<br \/>\nYes, they can transfer themselves and all of the bags in the elevator once.<br \/>\nQuestion 5.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou have 84 feet of streamers. You cut 24 pieces that are \\(\\frac{1}{2}\\) each yard long. How many feet of streamers do you have left?<br \/>\nAnswer:<br \/>\nGiven steamers = 84 feet<br \/>\n24 pieces are 1\/2 = 0.5 each yard long<br \/>\n24 \u00d7 0.5 = 12 yard long<br \/>\n12 yards = 36 feet<br \/>\n84 &#8211; 36 = 48 feet of streamers you have left .<\/p>\n<p>Question 6.<br \/>\n<strong>Writing<\/strong><br \/>\nWrite and solve a two-step word problem involving units of measure.<\/p>\n<p>Question 7.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou want to hang a wallpaper border around the perimeter of the rectangular bathroom shown. How many yards of wallpaper border do you need?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15424\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-121.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 121\" width=\"109\" height=\"176\" \/><br \/>\nAnswer:<br \/>\nGiven length = 6 ft , width = 1 y<\/p>\n<p>Explanation:<br \/>\nConvert 6 ft to yd<br \/>\n6 ft = 2 yd<br \/>\nperimeter of rectangle = 2 (L + W)<br \/>\n= 2(2 + 1 )<br \/>\n= 2(3) = 6 yd<br \/>\n6 yd of wallpaper border you need<\/p>\n<p>Question 8.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou need <img loading=\"lazy\" class=\"alignnone size-full wp-image-15426\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-122.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 122\" width=\"14\" height=\"26\" \/> gallon of fertilizer to cover a lawn. What is the least amount of money that you can pay and have enough fertilizer?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15425\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-122.1.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 122.1\" width=\"279\" height=\"186\" \/><br \/>\nAnswer: Given one lawn fertilizer is 128 fluid ounces<\/p>\n<p>Explanation:<br \/>\nTake 2 gallons = $ 40 \u00d7 2 = 80<br \/>\nGiven another lawn fertilizer 16 fluid ounces<br \/>\n2 gallons = $ 11 \u00d7 16 = 176<br \/>\n80 is the least amount of money that you can pay and have enough fertilizer<br \/>\n128 fluid ounces is cheap when compared to 16 fluid ounces.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Divide. Then check your answer.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15427\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-123.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 123\" width=\"76\" height=\"34\" \/><br \/>\nAnswer: 5,343 divide by 25<br \/>\n5,343 \u00f7 25 = 213.72<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15428\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-124.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 124\" width=\"77\" height=\"46\" \/><br \/>\nAnswer: 2,064 divide by 24<br \/>\n2,064 \/ 24 = 86<\/p>\n<h3><a id=\"Convert_and_Display_Units_of_Measure_Performance_Task_11\"><\/a>Convert and Display Units of Measure Performance Task 11<\/h3>\n<p>Passenger airliners come in many different sizes. Plane A and Plane B are two different types of wide-body jet airliners.<\/p>\n<p>Question 1.<br \/>\nThe table shows some facts about Plane A.<br \/>\na. The length of Plane B is 80 yards. Which is longer, Plane A or Plane B? How much longer?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15429\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-125.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 125\" width=\"254\" height=\"110\" \/><br \/>\nAnswer:- Given, length of plane B = 80 yards<br \/>\nWe observed from the table that the length of plane A = 250 ft 2 in<br \/>\n<span style=\"font-size: 16px;\">Convert 250 ft 2 into yards<br \/>\n<\/span>250 ft 2 in = 83.389 yards<br \/>\nSo, Length of plane A = 83.389 yards<br \/>\nLength of plane B = 80 yards<br \/>\nPlane A is longer than Plane B<br \/>\n3.389\u00a0 is longer.<br \/>\nb. The wingspan of Plane B is 37\\(\\frac{1}{12}\\) feet longer than the Wingspan of Plane A. What is the wingspan of Plane B?<br \/>\nAnswer:\u00a0The wingspan of plane B = 37 \u00d7 1\/2 = 36.852\u00a0 inches<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15430\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-126.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 126\" width=\"219\" height=\"149\" \/><\/p>\n<p>Question 2.<br \/>\nBefore an airliner can take off, the pilot has to make sure it weighs less than the maximum takeoff weight.<br \/>\na. Plane A weighs 404,600 pounds and can carry at most 422,000 pounds of fuel. How many pounds can the airliner hold in passengers and cargo?<br \/>\nb. The maximum landing weight of Plane A is 300,000 pounds less than the maximum takeoff weight. Why does an airliner weigh less at the end of a flight than at the beginning?<br \/>\nc. Plane A uses 20 quarts of fuel for each mile it flies. How many gallons of fuel does the plane use during a 3,200-mile flight?<\/p>\n<p>Question 3.<br \/>\nPlane B can hold 544 passengers. Plane A can hold \\(\\frac{3}{4}\\) of passengers that Plane B can hold.<br \/>\na. How many passengers can Plane A hold?<br \/>\nAnswer: Plane A hold 3\/4 = 0.75 passengers<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15431\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-127.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 127\" width=\"245\" height=\"117\" \/><br \/>\nb. An airline estimates that each passenger weighs about 200 pounds, including carry-on baggage. How much passenger and carry-on weight does the airline estimate for Plane B?<br \/>\nAnswer: 408 passenger and carry on weight does the airline estimate for plane B<\/p>\n<h3><a id=\"Convert_and_Display_Units_of_Measure_Activity\"><\/a>Convert and Display Units of Measure Activity<\/h3>\n<p><strong>Directions:<\/strong><\/p>\n<ol>\n<li>Players take turns.<\/li>\n<li>On your turn, place a counter on a yellow hexagon.<\/li>\n<li>Solve for the missing measurement and cover the answer with another counter. If you surround a monster, then put a counter on the monster. If you do not surround a monster, then your turn is over.<\/li>\n<li>Continue playing until all measurements are covered.<\/li>\n<li>The player who captures the most monsters wins!<\/li>\n<\/ol>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15432\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-128.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 128\" width=\"615\" height=\"618\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-128.png 615w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-128-300x300.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-128-150x150.png 150w\" sizes=\"(max-width: 615px) 100vw, 615px\" \/><\/p>\n<h3><a id=\"Convert_and_Display_Units_of_Measure_Chapter_Practice\"><\/a>Convert and Display Units of Measure Chapter Practice<\/h3>\n<p><strong>11.1 Length in Metric Units<\/strong><\/p>\n<p>Convert the length.<\/p>\n<p>Question 1.<br \/>\n4 cm = __ mm<br \/>\nAnswer: 4 cm = 40 mm<\/p>\n<p>Explanation:<br \/>\nConvert from centimeter to millimeter<br \/>\n1 cm = 10 mm<br \/>\n4 cm = 4 \u00d7 10 mm = 40 mm<br \/>\nmultiply the cm value by 10<\/p>\n<p>Question 2.<br \/>\n81 m = _8100__ cm<br \/>\nAnswer: 81 m = 8100 cm<\/p>\n<p>Explanation:<br \/>\nConvert from meter to centimeter.<br \/>\n1 m = 100 cm<br \/>\nmultiply the m value by 100<br \/>\n81 m = 81 \u00d7 100 cm = 8100 cm<\/p>\n<p>Question 3.<br \/>\n0.56 km = _56000_ cm<br \/>\nAnswer: 0.56 km = 56000 cm<\/p>\n<p>Explanation:<br \/>\nConvert from kilometer to centimeter.<br \/>\nMultiply the km value by 100000<\/p>\n<p>Question 4.<br \/>\n9 mm = 0.009__ m<br \/>\nAnswer:\u00a09 mm = 0.009 m<br \/>\nExplanation:-<br \/>\nConvert millimeter to meter.<br \/>\ndivide the mm value by 1000<\/p>\n<p>Compare.<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15433\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-129.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 129\" width=\"133\" height=\"43\" \/><br \/>\n<strong>Answer:-<\/strong> 73 m = 0.073 kilometer<br \/>\nExplanation:- divide the m value by 1000<br \/>\n<strong>Answer:-<\/strong> 7.3 km = 7300 m<br \/>\nExplanation:- multiply the km value by 1000<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15434\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-130.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 130\" width=\"146\" height=\"46\" \/><br \/>\nAnswer:<br \/>\n0.6 cm = 0.006 m<br \/>\ndivide the cm value by 100<br \/>\n0.06 m = 6 cm<br \/>\nmultiply the m value by 100<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15435\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-131.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 131\" width=\"142\" height=\"47\" \/><br \/>\nAnswer:<br \/>\n2mm = 0.2 cm<br \/>\ndivide the mm value by 10<br \/>\n0.2 cm = 2mm<br \/>\nmultiply the cm value by 10<\/p>\n<p><strong>11.2 Mass and Capacity in Metric Units<\/strong><\/p>\n<p>Convert the mass.<\/p>\n<p>Question 8.<br \/>\n3 kg = _3000__ g<br \/>\nAnswer:<br \/>\n3 kg = 3000 g<br \/>\nExplanation:<br \/>\nConvert from kg to gram<br \/>\n1 kg = 1000 grams<br \/>\nmultiply the kg value by 1000<br \/>\n3 kg = 3 \u00d7 1000 gram = 3000 gram<\/p>\n<p>Question 9.<br \/>\n0.006g = _6__ mg<br \/>\nAnswer: 0.006 g = 6 mg<\/p>\n<p>Explanation:<br \/>\nConvert from grams to milligrams<br \/>\nmultiply the g value by 1000<\/p>\n<p>Question 10.<br \/>\n70 g = _0.07_ kg<br \/>\nAnswer: 70 g = 0.07 kg<\/p>\n<p>Explanation:<br \/>\nConvert from grams to kilograms<br \/>\ndivide the g value by1000<\/p>\n<p>Question 11.<br \/>\n29,000 mg = _0.029_ kg<br \/>\nAnswer: 29,000 mg = 0.029 kg<\/p>\n<p>Explanation:<br \/>\nConvert from milligrams to kilograms<br \/>\ndivide the mg value by 1e + 6<br \/>\n29,000 mg = 0.029 kg<\/p>\n<p>Convert the capacity.<\/p>\n<p>Question 12.<br \/>\n400 mL = _0.4_ L<br \/>\nAnswer: 400 mL = 0.4 L<\/p>\n<p>Explanation:<br \/>\nConvert from milliliters to liters<br \/>\ndivide the mL value by 1000<\/p>\n<p>Question 13.<br \/>\n10 L = 10000 mL<br \/>\nAnswer: 10 L = 10000 mL<\/p>\n<p>Explanation:<br \/>\nConvert from liters to milliliters<br \/>\n1 L = 1000 ml<br \/>\n10 L = 10 \u00d7 1000 = 10000 mL<br \/>\nmultiply the L value by 1000<\/p>\n<p>Question 14.<br \/>\n7 mL =0.007 L<br \/>\nAnswer: 7 mL = 0.007 L<\/p>\n<p>Explanation:<br \/>\nConvert from milliliters to liters<br \/>\ndivide the mL value by 1000<br \/>\n7 mL = 0.007 L<\/p>\n<p>Question 15.<br \/>\n0.65 L = 650mL<br \/>\nAnswer: 0.65 L = 650 mL<\/p>\n<p>Explanation:<br \/>\nConvert from liters to milliliters<br \/>\n1 L = 1000 mL<br \/>\nmultiply the L value by 1000<br \/>\n0.65 L = 0.65 \u00d7 1000 = 650 mL<br \/>\nSo, 0.65 L = 650 mL<\/p>\n<p><strong>11.3 Length in Customary Units<\/strong><\/p>\n<p>Convert the length.<\/p>\n<p>Question 16.<br \/>\n2 mi = ___ yd<br \/>\nAnswer: 2 mi = 3520 yards<\/p>\n<p>Explanation:<br \/>\nConvert from miles to yards<br \/>\n1 mi = 1760 yards<br \/>\nmultiply the mi value by 1760<br \/>\n2 mi = 2 \u00d7 1760 yards = 3520 yards<\/p>\n<p>Question 17.<br \/>\n14\\(\\frac{2}{3}\\) yd = ___ ft<br \/>\nAnswer: 14 \u00d7 2\/3 yd = 28 ft<\/p>\n<p>Question 18.<br \/>\n103 in. = __ ft __ in.<br \/>\nAnswer: 103 in = 8 ft 7 in<\/p>\n<p>Explanation:<br \/>\nConvert from inches from feet.<br \/>\ndivide the 103 in value by 12<\/p>\n<p>Question 19.<br \/>\n2,340 in. = yd<br \/>\nAnswer: 2,340 in = 65 yd<\/p>\n<p>Explanation:<br \/>\nConvert from inches to yards<br \/>\ndivide the 2,340 in value by 36<\/p>\n<p>Compare.<\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15436\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-132.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 132\" width=\"123\" height=\"55\" \/><br \/>\nAnswer: 5 \u00d7 2\/3 yd = 10 ft<br \/>\n17 ft = 5.667 yd<\/p>\n<p>Explanation:<br \/>\nConvert yards to feet.<br \/>\ndivide the 17 ft value by 3<\/p>\n<p>Question 21.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15437\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-133.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 133\" width=\"150\" height=\"43\" \/><br \/>\nAnswer: 67 in = 5 feet 7 inches<\/p>\n<p>Explanation:<br \/>\ndivide the in value by 12<br \/>\n5 ft 10 in = 70 in<br \/>\nmultiply the 5 ft 10 in value by 12<\/p>\n<p>Question 22.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15438\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-134.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 134\" width=\"151\" height=\"43\" \/><br \/>\nAnswer:<br \/>\n16 mi = 84480 ft<br \/>\nmultiply the mi value by 5280<br \/>\n84,000 ft = 15.909 mi<br \/>\ndivide the ft value by 5280<\/p>\n<p>Weight in Customary Units<\/p>\n<p>Convert the weight.<\/p>\n<p>Question 23.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15574\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-135.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 11 Convert and Display Units of Measure 135\" width=\"131\" height=\"49\" \/><br \/>\nAnswer: 4\/2 T = 2 (By solving 4\/2 we get 2)<br \/>\nso we take 4\/2 as 2<br \/>\n1 T = 2000 lb<br \/>\n2 T = 4000 lb<\/p>\n<p>Question 24.<br \/>\n100,000 lb = ___ T<br \/>\nAnswer: 100,000 lb = 45.359237 T<\/p>\n<p>Explanation:<br \/>\n100,000 lb \u00d7 0.00045359237 = 45.359237 T<\/p>\n<p>Convert the weight.<\/p>\n<p>Question 25.<br \/>\n217 oz = __ lb __ oz<br \/>\nAnswer:\u00a0217 oz = 13 lb 9 oz<\/p>\n<p>Question 26.<br \/>\n956 oz = __ lb<br \/>\nAnswer:\u00a0 956 oz = 59 lb<\/p>\n<p>Compare.<\/p>\n<p>Question 27.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15439\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-136.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 136\" width=\"151\" height=\"63\" \/><br \/>\nAnswer:\u00a05\u00d71\/4 T = 2755 lb<br \/>\n15,000 lb = 6.696 T<\/p>\n<p>Question 28.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15440\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-137.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 137\" width=\"170\" height=\"50\" \/><br \/>\nAnswer:\u00a0258 oz = 16.125 lb<br \/>\ndivide the oz value by 16<br \/>\n17 lb 12 oz = 284 oz<br \/>\nmultiply the lb oz value by 16<\/p>\n<p>Question 29.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15441\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-138.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 138\" width=\"144\" height=\"52\" \/><br \/>\nAnswer: 192,000 oz = 6 T<br \/>\n7 T = 250,880 oz<\/p>\n<p>Question 30.<br \/>\n<strong>Number Sense<\/strong><br \/>\nWhich measurements are equivalent to 52 ounces?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15442\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-139.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 139\" width=\"541\" height=\"54\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-139.png 541w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-139-300x30.png 300w\" sizes=\"(max-width: 541px) 100vw, 541px\" \/><br \/>\nAnswer:\u00a03 lb 4 oz measurement is equivalent to 52 ounces.<\/p>\n<p><strong>11.5 Capacity in Customary Units<\/strong><\/p>\n<p>Convert the capacity.<\/p>\n<p>Question 31.<br \/>\n18 qt = __ pt<br \/>\nAnswer: 18 qt = 29.9762706 pt<\/p>\n<p>Explanation:<br \/>\n1qt equals to 1.6653484 pt<br \/>\n1.6653484 \u00d7 18pt = 29.9762706 pt<\/p>\n<p>Question 32.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15444\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-140.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 140\" width=\"143\" height=\"51\" \/><br \/>\nAnswer: 24 fl oz<\/p>\n<p>Explanation:<br \/>\n4 \u00d7 3\/4c , by solving this we get 12\/4c=3c<br \/>\nfrom formula= 1c = 8 floz<br \/>\n3c = 8 fl oz \u00d7 3c = 24 floz<\/p>\n<p>Question 33.<br \/>\n72 pt = __ gal<br \/>\nAnswer: 72 pt = 9 gal<\/p>\n<p>Explanation:<br \/>\n1 pt = 0.125 gal<br \/>\n72 pt = 0.125 \u00d7 72 = 9 gal<\/p>\n<p>Question 34.<br \/>\n81 qt = __ gal<br \/>\nAnswer: 81 qt = 20.25 gal<\/p>\n<p>Explanation:<br \/>\n1 qt = 0.25 gallons<br \/>\n81 qt = 81 \u00d7 0.25 = 20.25 gal<\/p>\n<p>Compare.<\/p>\n<p>Question 35.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15443\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-140.1.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 140.1\" width=\"137\" height=\"53\" \/><br \/>\nAnswer:<br \/>\n5\/4 gal = 5 US qt<br \/>\nmultiply the gal value by 4<br \/>\n21 qt = 5.25 US gal<br \/>\ndivide the qt value by 4<\/p>\n<p>Question 36.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15445\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-141.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 141\" width=\"110\" height=\"58\" \/><br \/>\nAnswer:<br \/>\nConvert from pints to cups<br \/>\n7\/2 pt = 7 c<br \/>\n9 c &gt; 7 c<br \/>\n3 1\/2 pt &lt; 9 c<\/p>\n<p>Question 37.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15446\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-142.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 142\" width=\"106\" height=\"48\" \/><br \/>\n<strong>Answer:<\/strong>&#8211;<br \/>\nConvert from quart to cups.<br \/>\n1 quart = 4 cups<br \/>\n4 qt = 16 c<br \/>\n4 qt &lt; 20 c<\/p>\n<p>Question 38.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYou have 2\\(\\frac{1}{4}\\) gallons of apple juice. How many pints of apple juice do you have?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15447\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-143.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 143\" width=\"164\" height=\"138\" \/><br \/>\nAnswer:\u00a0Given 2 \u00d7 1\/4 (gallons of apple juice)<br \/>\nBy solving 2 \u00d7 1\/4 we get 1\/2=&gt;0.5 gallons<br \/>\nso, we have 4 pints of apple juice<\/p>\n<p>Explanation:<br \/>\nwe have to find out pints of apple juice<br \/>\n0.5 gallons is equal to 4 pints<br \/>\nfrom the formula multiply the gallon value (i.e., 0.5 with 8 = 0.5 \u00d7 8 = 4 pints)<br \/>\n<strong>11.6 Make and Interpret Line Plots<\/strong><\/p>\n<p>Question 39.<br \/>\nThe table shows the amounts of clay made by 10 students. Make a line plot to display the data.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15448\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-144.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 144\" width=\"646\" height=\"285\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-144.png 646w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-144-300x132.png 300w\" sizes=\"(max-width: 646px) 100vw, 646px\" \/><br \/>\nHow many students made more than \\(\\frac{3}{4}\\) cup of clay?<br \/>\nAnswer:\u00a0 3\/4 = 0.75<br \/>\nonly one student ( 7\/8 )made more than 3\/4 cup of clay ( i.e., 7\/8 = 0.875 )<\/p>\n<p>What is the most common amount of clay made?<br \/>\nAnswer:\u00a0The most common amount of clay made is 3\/4<\/p>\n<p><strong>11.7 Problem Solving: Measurement<\/strong><\/p>\n<p>Question 40.<br \/>\nA recipe calls for 2\\(\\frac{3}{4}\\) cups of fava beans. You have 1\\(\\frac{1}{4}\\)&#8211; pint can of fava beans and \\(\\frac{1}{2}\\) cup of cooked fava beans. Do you have enough fava beans for the recipe?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15449\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-145.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 145\" width=\"252\" height=\"222\" \/><br \/>\nAnswer: Yes, you have enough fava beans for the recipe<\/p>\n<p>Explanation:<br \/>\nGiven that a recipe calls for 2 \u00d7 3\/4 = 0.5 cups of fava beans<br \/>\nyou have 1 \u00d7 1\/4 pints = 0.5 cups of fava beans ( convert 1\/4 pints to cups )<br \/>\nand 1\/2 = 0.5 cups of cooked fava beans<br \/>\nSo, the recipe calls 0.5 cups of fava beans are equal to you have 0.5 cups of fava beans.<\/p>\n<h3><a id=\"Convert_and_Display_Units_of_Measure_Practice_1-11\"><\/a>Convert and Display Units of Measure Practice 1-11<\/h3>\n<p>Question 1.<br \/>\nYour friend estimates that a bookcase is 2\\(\\frac{1}{2}\\) feet wide. The actual width is \\(\\frac{2}{3}\\) foot longer. What is the width of the bookcase?<br \/>\nAnswer:\u00a02 \u00d7 1\/2 = 1 estimation feet<br \/>\n2\/3 = 0.667 actual width feet<br \/>\n1 &#8211; 0.667 = 0.34<\/p>\n<p>Question 2.<br \/>\nWhat is the product of 845 and 237?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15451\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-147.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 147\" width=\"463\" height=\"94\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-147.png 463w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-147-300x61.png 300w\" sizes=\"(max-width: 463px) 100vw, 463px\" \/><br \/>\nAnswer: Option C<br \/>\nproduct (Multiply) the 845 and 237 = 200,265<\/p>\n<p>Explanation:\u00a0 845 \u00d7 237 = 200,265<\/p>\n<p>Question 3.<br \/>\nHow many milliliters are equal to 0.6 liter?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15452\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-148.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure 148\" width=\"457\" height=\"93\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-148.png 457w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-11-Convert-and-Display-Units-of-Measure-148-300x61.png 300w\" sizes=\"(max-width: 457px) 100vw, 457px\" \/><br \/>\nAnswer:-\u00a0 Option D\u00a0 (600 mL)<\/p>\n<p>Explanation:\u00a01 liter = 1000 mL<br \/>\n0.6 liter = 0.6L \u00d7 1000mL<br \/>\n= 600mL<\/p>\n<p>Question 4.<br \/>\nWhich are equivalent to <img loading=\"lazy\" class=\"alignnone size-full wp-image-15403\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-149.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 149\" width=\"50\" height=\"38\" \/>?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15402\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-149.1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 149.1\" width=\"482\" height=\"184\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-149.1.png 482w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-149.1-300x115.png 300w\" sizes=\"(max-width: 482px) 100vw, 482px\" \/><br \/>\nAnswer:\u00a0 6 \u00d7 3\/10\u00a0 is equivalent to 18 \u00d7 1\/10<\/p>\n<p>Explanation:<br \/>\n6 \u00d7 3\/10 = multiply 6 with 3 we\u00a0 get 18, denominator remains same<br \/>\nso the answer is 18 \u00d7 1\/10.<\/p>\n<p>Question 5.<br \/>\nTo find 34 + (16 + 23), your friend adds 34 and 16. Then she adds 23 to the sum. Which property did she use?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15404\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-150.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 150\" width=\"629\" height=\"96\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-150.png 629w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-150-300x46.png 300w\" sizes=\"(max-width: 629px) 100vw, 629px\" \/><br \/>\n<strong>Answer:-\u00a0 Option B<\/strong><br \/>\nShe used the Associative property of addition.<\/p>\n<p>Question 6.<br \/>\nAn Eastern Hognose Snake is 2\\(\\frac{1}{2}\\) feet long. It grows another foot. What is the new length of the snake in inches?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15405\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-151.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 151\" width=\"662\" height=\"159\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-151.png 662w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-151-300x72.png 300w\" sizes=\"(max-width: 662px) 100vw, 662px\" \/><br \/>\nAnswer: 2 \u00d7 1\/2 = 1 feet<\/p>\n<p>Explanation:<br \/>\nIt grows another foot = 1<br \/>\nso, 1 + 1 = 2 feet<br \/>\nconvert 2 feet to inches<br \/>\n2 feet = 24 inches<br \/>\nSo, the new length of the snake is 24 inches.<\/p>\n<p>Question 7.<br \/>\nWhat common factor should you divide the numerator and denominator of \\(\\frac{16}{24}\\) by so that it is in the simplest form?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15406\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-152.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 152\" width=\"409\" height=\"100\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-152.png 409w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-152-300x73.png 300w\" sizes=\"(max-width: 409px) 100vw, 409px\" \/><br \/>\nAnswer: 8 is the common factor that divides the numerator and denominator of 16\/24 in simplest form<\/p>\n<p>Explanation:<br \/>\nThe simplest form is nothing but if the top and bottom(i.e., numerator and denominator) have no common factors other than 1.<br \/>\n16\/24 = solve it by 8<br \/>\nBy solving we get 2\/3.<\/p>\n<p>Question 8.<br \/>\nA salesperson at a fabric store has 30 yards of fabric. He puts the same number of yards of fabric on each of 4 rolls for a display. How many yards of fabric does the salesperson put on each roll?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15407\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-153.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 153\" width=\"451\" height=\"103\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-153.png 451w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-153-300x69.png 300w\" sizes=\"(max-width: 451px) 100vw, 451px\" \/><br \/>\nAnswer:<br \/>\nOption B<br \/>\n2\/15 yard<\/p>\n<p>Explanation:<br \/>\nGiven 30 yards of fabric<br \/>\nrolls= 4<br \/>\nrolls\/yards = 4\/30 = 2\/15yard<\/p>\n<p>Question 9.<br \/>\nDescartes estimates 96.3 \u00d7 42 by rounding each number to the nearest ten. What is Descartes\u2019s estimate?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15408\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-154.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 154\" width=\"426\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-154.png 426w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-154-300x65.png 300w\" sizes=\"(max-width: 426px) 100vw, 426px\" \/><br \/>\nAnswer:\u00a0Option D (4,000)<\/p>\n<p>Explanation: Here we have to multiply the given number 96.3 \u00d7 42<br \/>\n96.3 ~ 100 (96.3 is the nearest value to 100)<br \/>\n42~40 (42 is the nearest value to 40)<br \/>\nso, multiply both the values 100 \u00d7 40 = 4000<\/p>\n<p>Question 10.<br \/>\nThe fifth-grade classes are making a mural to hang in the front hallway of the school.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15409\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-155.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 155\" width=\"66\" height=\"68\" \/><br \/>\n<strong>Part A<\/strong> Each class creates a square for the mural that has side lengths of \\(\\frac{1}{2}\\) meter. What is the area of each square?<\/p>\n<p>Answer:\u00a0area of square =s\u00d7s<br \/>\n1\/2 \u00d7 1\/2 = 0.5 \u00d7 0.5 = 0.25 meters<br \/>\n<strong>Part B<\/strong><br \/>\nThere are 12 classes. What is the area of the entire mural? Explain.<br \/>\n12 \u00d7 0.25 = 3 meters<\/p>\n<p>Question 11.<br \/>\nWhich expressions have a quotient of 4.6?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15410\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-156.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 156\" width=\"470\" height=\"107\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-156.png 470w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-156-300x68.png 300w\" sizes=\"(max-width: 470px) 100vw, 470px\" \/><br \/>\nAnswer: All expressions have a quotient of 4.6 except 15.64\u00f734 does not have a quotient of 4.6<\/p>\n<p>Explanation: we can find out the quotient value by this method<br \/>\nquotient = Dividend \u00f7 divisor\u00a0 (i.e., from the above question we are taking one value\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 124.2 \u00f7 27 = 4.6)<\/p>\n<p>Question 12.<br \/>\nWhat is the quotient of 5 and \\(\\frac{1}{8}\\) ?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15411\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-157.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 157\" width=\"72\" height=\"55\" \/><br \/>\nAnswer:- The quotient of 5 and 1\/8 = 40<br \/>\nExplanation:- Divide the 5 and 1\/8<\/p>\n<p>Question 13.<br \/>\nYou need thirty 5-foot pieces of string for a project. A store sells string by the yard. How many yards of string will you need to buy?<br \/>\nAnswer:- 11.655<\/p>\n<p>Explanation: Given foot pieces = 35<br \/>\n1 foot = 0.333 yard<br \/>\n1 yard = 3 foot or 3 feet<br \/>\nwe have to find yards of string.<br \/>\nfoot pieces \u00d7 yards = 35 \u00d7 0.333<br \/>\n= 11.655<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-15412\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-158.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 158\" width=\"150\" height=\"123\" \/><\/p>\n<p>Question 14.<br \/>\nIn which equations does k = \\(\\frac{3}{4}\\) ?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15413\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-159.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 159\" width=\"473\" height=\"107\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-159.png 473w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-159-300x68.png 300w\" sizes=\"(max-width: 473px) 100vw, 473px\" \/><br \/>\nAnswer:\u00a0 Option D<br \/>\n3\/6 \u00d7 3\/2 =k<\/p>\n<p>Explanation:<br \/>\nwe have equated k value as 3\/4<br \/>\nso, by solving 3\/6 \u00d7 3\/2 we get 3\/4<\/p>\n<p>Question 15.<br \/>\nNewton brings 3 bags of popcorn that are all the same size to a club. There are 12 people at the club. Each person eats the same amount of popcorn and all of the popcorn is eaten. What fraction of a bag of popcorn does each person eat?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15414\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-160.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 160\" width=\"198\" height=\"98\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15415\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-161.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 161\" width=\"413\" height=\"95\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-161.png 413w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-161-300x69.png 300w\" sizes=\"(max-width: 413px) 100vw, 413px\" \/><br \/>\nAnswer:\u00a0Bags = 3 ,\u00a0 People = 12<br \/>\nso, divide 3\/12 = 1\/4<br \/>\nOption A is the answer<\/p>\n<p>Question 16.<br \/>\nEvaluate<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15416\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-162.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 162\" width=\"443\" height=\"94\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-162.png 443w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-162-300x64.png 300w\" sizes=\"(max-width: 443px) 100vw, 443px\" \/><br \/>\nAnswer:<br \/>\nConvert the decimal values to fractions<br \/>\n4.5 = 9\/2<br \/>\n13.68 = 342\/25<br \/>\n13.70 = 137\/10<br \/>\n15.70 = 157\/10<\/p>\n<p>Question 17.<br \/>\nWhat is the sum of \\(\\frac{5}{6}\\) and \\(\\frac{1}{4}\\) ?\u00a0<img loading=\"lazy\" class=\"alignnone size-full wp-image-15417\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-163.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 163\" width=\"422\" height=\"107\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-163.png 422w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-163-300x76.png 300w\" sizes=\"(max-width: 422px) 100vw, 422px\" \/><br \/>\nAnswer: Option D<br \/>\n5\/6 + 1\/4 = 13\/12<\/p>\n<p>Question 18.<br \/>\nWhat is 40,071 written in word form?<br \/>\nA. four thousand, seventy-one<br \/>\nB. four hundred, seventy-one<br \/>\nC. forty thousand, seventy-one<br \/>\nD. forty thousand, seven hundred ten<br \/>\nAnswer:\u00a0Option C<\/p>\n<p>Forty thousand, seventy-one<\/p>\n<h3><a id=\"Convert_and_Display_Units_of_Measure_STEAM_Performance_Task\"><\/a>Convert and Display Units of Measure STEAM Performance Task<\/h3>\n<p>Sound is created from vibrations in the air called sound waves. In music, when you hear different pitches, it is because the sound waves are traveling at different speeds. The frequency of a pitch measures the number of sound waves per second. Higher pitches have higher frequencies, and lower pitches have lower frequencies. Frequencies are measured in Hertz.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15418\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-164.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 164\" width=\"239\" height=\"175\" \/><\/p>\n<p>Question 1.<br \/>\nA<sub>4<\/sub> is the musical note commonly used to tune instruments. The frequency of A<sub>4<\/sub> is 440 Hertz, because the sound vibrates 440 times per second.<br \/>\na. The frequency of A<sub>3<\/sub> is \\(\\frac{1}{2}\\) the frequency of A<sub>4<\/sub>. The frequency of A<sub>2<\/sub> is \\(\\frac{1}{2}\\) the frequency of A<sub>3<\/sub>. What is the frequency of A<sub>2<\/sub>?<br \/>\nAnswer: frequency of A<sub>2<\/sub> = 110<br \/>\nb. Is the pitch of A<sub>2<\/sub> higher or lower than the pitch of A<sub>4<\/sub>? Explain.<br \/>\nc. How can you use the frequency of A<sub>4<\/sub> to find the frequency of A<sub>5<\/sub>? Explain.<br \/>\nd. The frequency of B<sub>4<\/sub> is 493.88 Hertz. What is the frequency of B<sub>3<\/sub>?<br \/>\ne. A computer software program can correct the frequency of a sound so it has perfect pitch. A violin plays a note that has a frequency of 255.1 Hertz. Explain how to change the frequency so it has the pitch of B<sub>3<\/sub>.<\/p>\n<p>Question 2.<br \/>\nUse the Internet or some other resource to learn about how audio processors can help to correct a singer\u2019s pitch, or to alter the way a song sounds. Write one interesting thing you learn.<br \/>\nAnswer:<br \/>\nAuto-Tune is an audio processor introduced in 1997 by and registered trademark of Antares Audio Technologies, which uses a proprietary device to measure and alter pitch in vocal and instrumental music recording and performances. It was originally intended to correct off-key inaccuracies, allowing vocal tracks to be perfectly tuned despite originally being slightly off-pitch.<br \/>\nPitch correction is an electronic effects unit or audio software that changes the highness and lowness in pitch of an audio signal so that all pitches will be notes from the equally tempered system(i.e., like the pitches on a piano). Pitch correction first detects the pitch of an audio signal (using a live pitch detection algorithm), then calculates the desired change and modifies the audio signal accordingly. The widest use of pitch corrector devices is in western popular music on vocal lines.<\/p>\n<p>Question 3.<br \/>\nYou borrow a guitar to learn how to play. Use the Guitar table to decide which guitar you should borrow.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15419\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-165.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 165\" width=\"271\" height=\"123\" \/><br \/>\na. Based on your height, you need a guitar that is close to 1 yard long. Which guitar is closer?<br \/>\nAnswer: 1 yard = 36 inches<br \/>\nGuitar A is 37 inches<br \/>\nSo, Guitar A is closer<br \/>\nb. You also need a guitar that is close to 8 pounds. Which guitar do you think you should borrow? Explain.<br \/>\nAnswer:\u00a0Guitar B you should borrow<br \/>\n176 ounces = 11 pounds which is closer to 8 pounds .<br \/>\nc. Guitar B is called a full-size guitar and Guitar A is called a \\(\\frac{7}{8}\\)-size guitar. Is the length of Guitar A \\(\\frac{7}{8}\\) the length of Guitar B? Explain<br \/>\nAnswer:\u00a0From the table Length of Guitar B = 40 inches<br \/>\nGiven guitar A = 7\/8 = 10.5 inches<br \/>\nNo, the length of Guitar A is not equal to Guitar B<br \/>\nd. The scale length on a guitar affects the pitch. To find the scale length of a guitar, multiply the distance between the nut and the 12th fret by 2. On your guitar, that distance is 12\\(\\frac{3}{4}\\) inches. What is the scale length of your guitar?<br \/>\nAnswer:\u00a09 \u00d7 12 \u00d7 2 = 216<br \/>\nThe scale of the length of the guitar is 216<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-15420\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-166.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 11 Convert and Display Units of Measure 166\" width=\"209\" height=\"399\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-166.png 209w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-11-Convert-and-Display-Units-of-Measure-166-157x300.png 157w\" sizes=\"(max-width: 209px) 100vw, 209px\" \/><br \/>\ne. The strings on your guitar are \\(\\frac{3}{8}\\) inch longer than the scale length to allow you to tune the strings to correct pitch. What are the string lengths on your guitar?<br \/>\nAnswer:- The string length on your guitar = 3\/8<br \/>\n3\/8 = 4.5 inches<br \/>\nf. When you tune a string, you adjust it tighter to make the pitch higher, or looser to make pitch lower. You use a tuning instrument to help you string has a tune your guitar. It says that your A<sub>4<\/sub> string has a frequency of 436.2 Hertz. How should you adjust the string to get the pitch in tune?<br \/>\nAnswer:- we have to adjust the string to get the pitch in tune = 440 Hertz<br \/>\nits\u00a0 wavelength (cm) = 78.41<\/p>\n<p><em>Conclusion:<\/em><\/p>\n<p>I wish the information provided in the above article regarding the Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure is helpful for all the students. For any queries, you can post your doubts in the below comment section. Keep in touch with us to get the latest updates of all Big Ideas Math Grade 5 Chapters.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Big Ideas Math Answers Grade 5 Chapter 11 Convert and Display Units of Measure is given here in a comprehensive manner to help the students for better understanding. Must solve every problem given on the Big Ideas Math Answers Chapter 11 Convert and Display Units of Measure Grade 5. 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