{"id":14721,"date":"2024-01-05T10:25:30","date_gmt":"2024-01-05T04:55:30","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=14721"},"modified":"2024-01-05T16:45:02","modified_gmt":"2024-01-05T11:15:02","slug":"big-ideas-math-answers-grade-5-chapter-1","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5-chapter-1\/","title":{"rendered":"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts"},"content":{"rendered":"<p>Do you want practical learning with real-time examples? Then, refer to <strong>Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts.<\/strong> You can easily enhance your skills by practicing the problems from Big Ideas Math Answer Key, Grade 5 Chapter 1 Place Value Concepts. Be the first to access Big Ideas Grade 5 Chapter 1 Math Answers PDF to start your practice. Check out each topic available on the below math answers. Every topic is given individually along with answers and explanations. It is easy to become a topper in the exam by practicing with the <a href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-5\/\">Big Ideas Grade 5 Math Answers<\/a> Chapter 1 Place Value Concepts.<\/p>\n<h2>Big Ideas 5th Grade Chapter 1 Place Value Concepts Math Book Answer Key<\/h2>\n<p>Students can learn the quick way to solve problems using Big Ideas Grade 5 Chapter 1 Math Answers. <strong>Download Grade 5 Big Ideas Math Answers Chapter 1 Place Value Concepts for free<\/strong>. We provided solutions in an easy manner so that students can solve the problems in less time. Click on the links provided below and find every topic individually. Get the free pdf offline and practice whenever you want it.<\/p>\n<p><strong>Lesson 1: Place Value Patterns<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_1.1_Place_Value_Patterns\">Lesson 1.1 Place Value Patterns<\/a><\/li>\n<li><a href=\"#Place_Value_Patterns_Homework_&amp;_Practice_1.1\">Place Value Patterns Homework &amp; Practice 1.1<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 2 Place Value with Whole Numbers<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_1.2_Place_Value_with_Whole_Numbers\">Lesson 1.2 Place Value with Whole Numbers<\/a><\/li>\n<li><a href=\"#Place_Value_with_Whole_Numbers_Homework_&amp;_Practice_1.2\">Place Value with Whole Numbers Homework &amp; Practice 1.2<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 3 Patterns and Powers of 10<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_1.3_Patterns_and_Powers_of_10\">Lesson 1.3 Patterns and Powers of 10<\/a><\/li>\n<li><a href=\"#Patterns_and_Powers_of_10_Homework_&amp;_Practice_1.3\">Patterns and Powers of 10 Homework &amp; Practice 1.3<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 4 Decimals to Thousandths<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_1.4_Decimals_to_Thousandths\">Lesson 1.4 Decimals to Thousandths<\/a><\/li>\n<li><a href=\"#Decimals_to_Thousandths_Homework_&amp;_Practice_1.4\">Decimals to Thousandths Homework &amp; Practice 1.4<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 5 Place Value with Decimals<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_1.5_Place_Value_with_Decimals\">Lesson 1.5 Place Value with Decimals<\/a><\/li>\n<li><a href=\"#Place_Value_with_Decimals_Homework_&amp;_Practice_1.5\">Place Value with Decimals Homework &amp; Practice 1.5<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 6 Compare Decimals<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_1.6_Compare_Decimals\">Lesson 1.6 Compare Decimals<\/a><\/li>\n<li><a href=\"#Compare_Decimals_Homework_&amp;_Practice_1.6\">Compare Decimals Homework &amp; Practice 1.6<\/a><\/li>\n<\/ul>\n<p><strong>Lesson 7 Round Decimals<\/strong><\/p>\n<ul>\n<li><a href=\"#Lesson_1.7_Round_Decimals\">Lesson 1.7 Round Decimals<\/a><\/li>\n<li><a href=\"#Round_Decimals_Homework_&amp;_Practice_1.7\">Round Decimals Homework &amp; Practice 1.7<\/a><\/li>\n<\/ul>\n<p><strong>Performance Task<\/strong><\/p>\n<ul>\n<li><a href=\"#Place_Value_Concepts_Performance_Task\">Place Value Concepts Performance Task<\/a><\/li>\n<li><a href=\"#Place_Value_Concepts_Activity\">Place Value Concepts Activity<\/a><\/li>\n<li><a href=\"#Place_Value_Concepts_Chapter_Practice\">Place Value Concepts Chapter Practice<\/a><\/li>\n<\/ul>\n<h3><a id=\"Lesson_1.1_Place_Value_Patterns\"><\/a>Lesson 1.1 Place Value Patterns<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Write the whole number represented by each base ten block. Then use the base ten blocks to complete the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14723\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.1 1\" width=\"465\" height=\"489\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-1.png 465w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-1-285x300.png 285w\" sizes=\"(max-width: 465px) 100vw, 465px\" \/><br \/>\nAnswer:<\/p>\n<p>Rod is 10 times as much as Unit<\/p>\n<p>The flat is 10 times as much as Rod<\/p>\n<p>Cube is 3 times as much as Flat<\/p>\n<p>Unit is 1\/10 of Rod<\/p>\n<p>Rod is 1\/10 of Flat<\/p>\n<p>The flat is 3\/10 of Cube<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nDescribe the patterns you see in a number as you move from one place value position to another place value position.<\/p>\n<p>Answer: As we move from one place value position to another value position, The place value of a digit increase by ten times as move from the left.<\/p>\n<p><strong>Think and Grow: Place Value Patterns<\/strong><\/p>\n<p>You can use a place value chart to help write numbers that are 10 times as great as a number or \\(\\frac{1}{10}\\) of a number.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14724\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-2.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.1 2\" width=\"620\" height=\"539\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-2.png 620w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-2-300x261.png 300w\" sizes=\"(max-width: 620px) 100vw, 620px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nComplete the statements.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14725\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-3.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.1 3\" width=\"582\" height=\"204\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-3.png 582w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-3-300x105.png 300w\" sizes=\"(max-width: 582px) 100vw, 582px\" \/><\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Use a place value chart to answer the question.<\/strong><br \/>\nQuestion 2.<br \/>\nWhat number is 10 times as great as 6,000?<br \/>\nAnswer:60,000<\/p>\n<p>If 6,000 is multiplied by 10 times it becomes 60,000<\/p>\n<p>Question 3.<br \/>\nWhat number is \\(\\frac{1}{10}\\) of 300?<br \/>\nAnswer:30<\/p>\n<p>300 x 1\/ 10 is 30<\/p>\n<p>Question 4.<br \/>\n80 is 10 times as great as what number?<br \/>\nAnswer: 8<\/p>\n<p>if 8 is multiplied by 10 times it becomes 80<\/p>\n<p>Question 5.<br \/>\n40,000 is \\(\\frac{1}{10}\\) of what number?<br \/>\nAnswer:4,00,000<\/p>\n<p>4,00,000 x 1\/10 is 40,000<\/p>\n<p>The number is 4,00,000<\/p>\n<p><strong>Complete the table.<\/strong><br \/>\nQuestion 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14726\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-4.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.1 4\" width=\"290\" height=\"194\" \/><br \/>\nAnswer:<\/p>\n<p>1. 100 ,1 ,<\/p>\n<p>10,\u00a0 10 times as number is 10 x 10 = 100<\/p>\n<p>1\/10 of 10 is 1<\/p>\n<p>2. 4000,40<\/p>\n<p>400, 10 times as number is 400 x 10 = 4000<\/p>\n<p>1\/10 of 400 is 40<\/p>\n<p>3. 70,000,700<\/p>\n<p>7,000, 10 times as number is 7,000 x 10 =70,000<\/p>\n<p>1\/10 of 7,000 is 700<\/p>\n<p>4. 500,000,\u00a0 \u00a0 5,000<\/p>\n<p>50,000,10 times as number is 50,000 x 10 = 5,00,000<\/p>\n<p>1\/10 of 50,000 is 5,000<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14727\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-5.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.1 5\" width=\"280\" height=\"187\" \/><br \/>\nAnswer:<\/p>\n<p>1. 2,000, 20<\/p>\n<p>200,\u00a0 10 times as number is 200 x 10 = 2,000<\/p>\n<p>1\/10 of 200 is 20<\/p>\n<p>2. 3,00,000,\u00a0 \u00a03,000<\/p>\n<p>30,000,\u00a0 10 times as number is 30,000 x 10 = 3,00,000<\/p>\n<p>1\/10 of\u00a0 30,000 is 3,000<\/p>\n<p>3. 900, 9<\/p>\n<p>90, 10 times as number is 90 x 10 = 900<\/p>\n<p>1\/10 of 90 is 9<\/p>\n<p>4. 80,000, 800<\/p>\n<p>8,000,\u00a0 10 times as number is 8,0,0 x 10 = 80,000<\/p>\n<p>1\/10 of 8,000 is 800<\/p>\n<p>Question 8.<br \/>\n<strong>Patterns<\/strong><br \/>\nDescribe the relationship between any place value position and the next greater place value position.<br \/>\nAnswer:<\/p>\n<p>The relation between any place value position and next greater place value position increases ten times as we move.<\/p>\n<p><strong>Number Sense<\/strong><br \/>\n<strong>Write whether the statement is true or false. If false, explain why.<\/strong><br \/>\nQuestion 9.<br \/>\n600 is 100 times as great as 60,000.<br \/>\n______<br \/>\nAnswer: True<\/p>\n<p>600 X 100 = 60,000<\/p>\n<p>Question 10.<br \/>\n9,000 is 1,000 times as great as 9.<\/p>\n<p>_____<br \/>\nAnswer: True<\/p>\n<p>9 X 1,000 = 9,000<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nWhich state is about 10 times larger than Georgia?<br \/>\nThe approximate land area of Georgia is 60,000 square miles.<br \/>\nUse a place value chart to find the number that is 10 times as great as 60,000.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14728\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-6.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.1 6\" width=\"309\" height=\"253\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-6.png 309w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-6-300x246.png 300w\" sizes=\"(max-width: 309px) 100vw, 309px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14729\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-7.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.1 7\" width=\"386\" height=\"138\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-7.png 386w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-7-300x107.png 300w\" sizes=\"(max-width: 386px) 100vw, 386px\" \/><br \/>\n6,000_____ is 10 times as great as 60,000.<br \/>\nThe land area of _____Alaska__ is about 600,000 square miles.<br \/>\nSo, __Alaska____ is about 10 times larger than Georgia.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Use the table above.<\/strong><br \/>\nQuestion 11.<br \/>\nWhich state is about 10 times larger than Hawaii?<br \/>\nAnswer: Georgia is 10 times larger than Hawaii<\/p>\n<p>Question 12.<br \/>\nWhich state is about \\(\\frac{1}{10}\\) the size of Wyoming?<br \/>\nAnswer: Maryland is 1\/10 the size of Wyoming<\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWhich state is about 100 times larger than the District of Columbia?<br \/>\nAnswer: Hawaii<\/p>\n<p>District of Columbia = 60<\/p>\n<p>100 times larger than the District of Columbia 60 X 100 = 6,000 is Hawaii<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA mother rhinoceros weighs 2 tons. Her baby weighs \\(\\frac{1}{10}\\) as much as her. What is the weight of the baby rhinoceros, in pounds.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14730\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-8.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.1 8\" width=\"171\" height=\"118\" \/><br \/>\nAnswer: The weight of the baby rhinoceros is 20 Pounds.<\/p>\n<p>2 tons Mother<\/p>\n<p>Baby = 200 x 1\/10 = 20 Pounds<\/p>\n<h3><a id=\"Place_Value_Patterns_Homework_&amp;_Practice_1.1\"><\/a>Place Value Patterns Homework &amp; Practice 1.1<\/h3>\n<p><strong>Complete the statements.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14731\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-9.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.1 9\" width=\"388\" height=\"156\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-9.png 388w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-9-300x121.png 300w\" sizes=\"(max-width: 388px) 100vw, 388px\" \/><br \/>\nQuestion 1.<br \/>\n______ is 10 times as great as 2,000.<br \/>\nAnswer:\u00a0 \u00a020,000<\/p>\n<p>2,000 x 10 = 20,000<\/p>\n<p>Question 2.<br \/>\n_____ is \\(\\frac{1}{10}\\) of 2,000.<br \/>\nAnswer:\u00a0 \u00a0 \u00a0 200<\/p>\n<p>2,000 x 1\/ 10 = 200<\/p>\n<p><strong>Use a place value chart to answer the question.<\/strong><br \/>\nQuestion 3.<br \/>\nWhat number is 10 times as great as 50?<br \/>\nAnswer:\u00a0 500<\/p>\n<p>50 x 10 = 500<\/p>\n<p>Question 4.<br \/>\nWhat number is \\(\\frac{1}{10}\\) of 4,000?<br \/>\nAnswer:\u00a0 400<\/p>\n<p>4,000 x 1\/10 = 400<\/p>\n<p>Question 5.<br \/>\n800 is \\(\\frac{1}{10}\\) of what number?<br \/>\nAnswer:8,000<\/p>\n<p>8,000 x 1\/10 = 800<\/p>\n<p>Question 6.<br \/>\n60,000 is 10 times as great as what number?<br \/>\nAnswer<strong>:<\/strong>6,000<\/p>\n<p>6,000 is 10 times means 6,000 x 10 =60,000<\/p>\n<p><strong>Complete the table.<\/strong><br \/>\nQuestion 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14732\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-10.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.1 10\" width=\"283\" height=\"183\" \/><br \/>\nAnswer:<\/p>\n<p>1. 400, 4<\/p>\n<p>40, 10 times as number is 40 x 10 = 400<\/p>\n<p>1\/10 of 40 is 4<\/p>\n<p>2. 5,000, 50<\/p>\n<p>500, 10 times as number is 500 x 10 = 5,000<\/p>\n<p>1\/10 of 500 is 50<\/p>\n<p>3. 10,000\u00a0 ,\u00a0 100<\/p>\n<p>1,000, 10 times as number is 1,000 x 10 = 10,000<\/p>\n<p>1\/10 of 1,000 is 100<\/p>\n<p>4.8,00,000\u00a0 \u00a0, 8,000<\/p>\n<p>80,000, 10 times as number is 80,000 x 10 = 8,00,000<\/p>\n<p>1\/10 of 80,000 is 8,000<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14733\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-11.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.1 11\" width=\"288\" height=\"187\" \/><br \/>\nAnswer:<\/p>\n<p>1. 7,00,000\u00a0 \u00a0,\u00a0 \u00a07,000<\/p>\n<p>70,000, 10 times as number is 70,000 x 10 = 7,00,000<\/p>\n<p>1\/10 of 70,000 is 7,000<\/p>\n<p>2. 200 ,\u00a0 2<\/p>\n<p>20, 10 times as number is 20 x 10 = 200<\/p>\n<p>1\/10 of 20 is 2<\/p>\n<p>3. 30,000, 300<\/p>\n<p>3,000, 10 times as number is 3,000 x 10 = 30,000<\/p>\n<p>1\/10 of 3000 is 300<\/p>\n<p>4. 1,000 ,\u00a0 10<\/p>\n<p>100, 10 times as number is 100 x 10 = 1,000<\/p>\n<p>1\/10 of 100 is 10<\/p>\n<p>Question 9.<br \/>\n<strong>Patterns<\/strong><br \/>\nDescribe the relationship between any place value position and the next lesser place value position.<\/p>\n<p>Answer:<\/p>\n<p>The relation between any place value position and next lesser place value position decreases ten times as we move.<\/p>\n<p>Question 10.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says 6,700 is \\(\\frac{1}{10}\\) of 67,000. Is your friend correct? Explain.<br \/>\nAnswer: Yes My friend is correct, because if we divide 67,000 by 10 we get the result as 6,700 only.<\/p>\n<p>Use the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14734\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.1-12.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.1 12\" width=\"237\" height=\"253\" \/><br \/>\nQuestion 11.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nWhich city\u2019s population is about 10 times the population of Newark?<br \/>\nAnswer: Population of\u00a0 Oakland.<\/p>\n<p>Newark=40,000<\/p>\n<p>40,000 x 10 = 4,00,000 is Oakland<\/p>\n<p>Question 12.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nWhich city\u2019s population is about \\(\\frac{1}{10}\\) the population of Marina?<br \/>\nAnswer: Population of Del Ray Oaks.<\/p>\n<p>Marina = 20,000<\/p>\n<p>20,000 x 1\/10 = 2,000=Del Ray Oaks<\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nAn archaeologist finds a ceramic bowl that is about 400,000 years old. He finds different artifact that is \\(\\frac{1}{100}\\) times as old as the 100ceramic bowl. How much older is the ceramic bowl than the other artifact?<br \/>\nAnswer: The Ceramic bowl is 4000 years old.<\/p>\n<p>4,00,000 x 1\/100= 4,000<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the factor pairs for the number.<\/strong><br \/>\nQuestion 14.<br \/>\n9<br \/>\nAnswer: 1,3,9 are factor pairs of 9<\/p>\n<p>Question 15.<br \/>\n24<br \/>\nAnswer:\u00a0 (1,24), (2,12) (3,8) and (4,6) are factor pairs of 24<\/p>\n<p>Question 16.<br \/>\n15<br \/>\nAnswer:(1,3,5,15) are factor pairs of 15<\/p>\n<h3><a id=\"Lesson_1.2_Place_Value_with_Whole_Numbers\"><\/a>Lesson 1.2 Place Value with Whole Numbers<\/h3>\n<p>Model the number. Draw your model.<br \/>\nThen write the value of each digit.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14735\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 1\" width=\"537\" height=\"274\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-1.png 537w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-1-300x153.png 300w\" sizes=\"(max-width: 537px) 100vw, 537px\" \/><br \/>\nCompare the values of the 4s.<br \/>\nAnswer: Thousands-4, Hundreds -4 , Tens &#8211; 4 and Ones- 2<\/p>\n<p>4 is in thousand, 4 is in Hundreds and 4 is at tens value.<\/p>\n<p><strong>Repeated Reasoning<\/strong><br \/>\nIs the value of the 4 in the tens place 10 times as much as the value of the 2 in the ones place? Explain.<br \/>\nAnswer: No, Why means 4 in tens place means its value is 40 and 2 in ones place means only 2so 4 in the tens place is not 10 times as the value of 2.<\/p>\n<p><strong>Think and Grow: Place Value with Whole Numbers<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nA place value chart shows the value of each digit in a number. It also shows how the place values are grouped. Each group of three digits is called a period. Ina number, periods are separated by commas.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14736\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-2.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 2\" width=\"622\" height=\"269\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-2.png 622w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-2-300x130.png 300w\" sizes=\"(max-width: 622px) 100vw, 622px\" \/><br \/>\n<strong>Example<\/strong><br \/>\nWrite the number in standard form, word form, and expanded form.<br \/>\nStandard form:4,66,900<br \/>\nWord form: Four hundreds sixty six thousand and nine hundred<br \/>\nExpanded form:<br \/>\n4 \u00d7 1,00,000 + __6___ \u00d7 10,000_____ + ___6__ \u00d7 _1,000_____ + _9____ \u00d7 __100____<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Write the number in two other forms.<\/strong><br \/>\nQuestion 1.<br \/>\nStandard form: 78,300<br \/>\nWord form:<br \/>\nExpanded form:<br \/>\nAnswer:<\/p>\n<p>Word Form : Seventy -Eight Thousand, Three Hundred.<\/p>\n<p>Expanded Form : 7 x 10,000 + 8 x 1000 + 3 x 100=78,300<\/p>\n<p>Question 2.<br \/>\nStandard form:<br \/>\nWord form: three hundred fifty thousand, fifty-eight<br \/>\nExpanded form:<br \/>\nAnswer:<\/p>\n<p>Standard Form : 300,50,058<\/p>\n<p>Expanded Form : 3 x 10,00,000+ 5 x 10,000 + 5 x 10 +8=300,50,058<\/p>\n<p>Question 3.<br \/>\nCompare the values of the 6s in the number 466,900.<br \/>\nAnswer:<\/p>\n<p>the values of the 6 s are one is in 60 thousand&#8217;s place and other is at 6 thousands place.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Write the number in two other forms.<\/strong><br \/>\nQuestion 4.<br \/>\nStandard form:<br \/>\nWord form:<br \/>\nExpanded form: 6 \u00d7 100,000 + 8 \u00d7 1,000 + 4 \u00d7 100 + 5 \u00d7 10 + 9 \u00d7 1<br \/>\nAnswer:<\/p>\n<p>Standard Form : 6,08,459<\/p>\n<p>Word Form : 6 hundred \/ six lakh, eight thousand , four hundred\u00a0 fifty nine.<\/p>\n<p>Question 5.<br \/>\nStandard form: 45,006,702<br \/>\nWord form:<br \/>\nExpanded form:<\/p>\n<p>Answer:<\/p>\n<p>Word form: forty five lakh ,six thousand seven hundred and two.<\/p>\n<p>Expanded form:4 x 10000000 + 5 x 1000000 + 6 x 1000 +<\/p>\n<p>7 x 100 +2<\/p>\n<p>Question 6.<br \/>\nCompare the values of the 7s in the number 4,877,034.<br \/>\nAnswer:<\/p>\n<p>The value&#8217;s of 7s is at seventy thousand,(70,000) and again at\u00a0 seven thousand(7,000).<\/p>\n<p>Question 7.<br \/>\nCompare the values of the 3s in the number 5,338.<br \/>\nAnswer:<\/p>\n<p>The values of 3s is at 3-Hundred(300) and at thirty (30)[3 tens)]<\/p>\n<p>or<\/p>\n<p>3 at hundreds and 3 at tens place.<\/p>\n<p><strong>Compare.<\/strong><br \/>\nQuestion 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14737\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-3.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 3\" width=\"125\" height=\"38\" \/><br \/>\nAnswer:<\/p>\n<p>In 8,046 The value of 4 is in Ten&#8217;s place and 6 is in one&#8217; s place<\/p>\n<p>and in 8,460 the value of 4 is in hundreds place and 6 in ten&#8217;s place.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14738\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-4.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 4\" width=\"145\" height=\"43\" \/><br \/>\nAnswer:<\/p>\n<p>In 28,517 the value of 2 is at twenty thousand place, 8 at thousands and 5 at hundreds, 1 at tens and 7 at one&#8217;s place.<\/p>\n<p>and 28,509 the value of 2 is at twenty thousand place, 8 at thousands and 5 at hundreds, zero at tens and 9 at one&#8217;s place.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14739\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-5.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 5\" width=\"189\" height=\"50\" \/><\/p>\n<p>Answer:<\/p>\n<p>In 5,854,331- Fifty Lakhs , 8 at lakhs, Five at ten thousand, 4 at thousand,3 at hundred, 3 at ten&#8217;s and 1 at one&#8217;s place.<\/p>\n<p>and in 5,854,231 &#8211; Fifty Lakhs , 8 at lakhs, Five at ten thousand, 4 at thousand,2 at hundred, 3 at ten&#8217;s and 1 at one&#8217;s place.<\/p>\n<p>Question 11.<br \/>\nThe white truffle is the world\u2019s most expensive edible fungus, which costs up to three thousand dollars per kilogram. Write this number in standard form.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14740\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-6.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 6\" width=\"227\" height=\"112\" \/><br \/>\nAnswer:<\/p>\n<p>Standard Form: 3000$ per Kg.<\/p>\n<p>the white truffle is 3000$ per kg.<\/p>\n<p>Question 12.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says that in the number 45,951, one 5 is 10 times as great as the other 5. Is your friend correct? Explain.<br \/>\nAnswer:<\/p>\n<p>Yes,\u00a0 because\u00a0 at first the 5 is at tens place and in next time 5 is at thousands place so friend is right 5 is 10 times greater as the other 5 . As we move from right value to left twice tens value place becomes thousand value place.<\/p>\n<p>Question 13.<br \/>\n<strong>Logic<\/strong><br \/>\nNewton is thinking of a 6-digit number in which all of the digits are the same. The value of the digit in the thousands place is 8,000. What is Newton\u2019s number?<br \/>\nAnswer:<\/p>\n<p>8,88,888<\/p>\n<p>8 x 1,00,000 + 8 x 10,000+8 x 1,000+8 x 100 + 8 x 10 + 8 x 1<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nCompare the values of the 3sin Jupiter\u2019s average distance from the Sun.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14741\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-7.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 7\" width=\"638\" height=\"230\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-7.png 638w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-7-300x108.png 300w\" sizes=\"(max-width: 638px) 100vw, 638px\" \/><br \/>\nUse a place value chart to help you find the value of each 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14742\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-8.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 8\" width=\"572\" height=\"145\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-8.png 572w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-8-300x76.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><br \/>\nEach place value is 10 times as great as the place value to its right. The digits are two places apart. So, multiply 30,000 by 10 \u00d7 10 = 100.<br \/>\nSo, the value of the 3 in the millions place is _______ times the value of the 3 in the ten thousands place.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Use the table above.<\/strong><br \/>\nQuestion 14.<br \/>\nCompare the values of the 7s in Mars\u2019s average distance from the Sun.<br \/>\nAnswer:<\/p>\n<p>the value of 7 s in first is in thousands place and next 7 s is at hundreds place, the digits are one place apart, so the value of first 7 is in thousands place is 10 times the value of the next 7s in hundreds place.<\/p>\n<p>Question 15.<br \/>\nCompare the values of the 4s in Saturn\u2019s average distance from the Sun.<br \/>\nAnswer:<\/p>\n<p>the value of 4 s in first is in four hundred thousands place and next 4 s is at hundreds place, the digits are two places apart, so the value of first\u00a0 4 is in hundred thousands place is 100 times the value of the next 4s in hundreds place.<\/p>\n<p>Question 16.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nAn organization wants to donate all of the money raised through fund raisers and raffles to a children\u2019s charity. Complete the donation check.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14743\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-9.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 9\" width=\"196\" height=\"128\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14744\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-10.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 10\" width=\"518\" height=\"161\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-10.png 518w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-10-300x93.png 300w\" sizes=\"(max-width: 518px) 100vw, 518px\" \/><br \/>\nAnswer:<\/p>\n<p>1.<\/p>\n<p>$ 194,918 + $ 35,187 = $ 230,005<\/p>\n<p>Word Form :\u00a0 Two Hundred, Thirty thousand and Five dollars.<\/p>\n<p>Standard Form : $ 230,005<\/p>\n<h3><a id=\"Place_Value_with_Whole_Numbers_Homework_&amp;_Practice_1.2\"><\/a>Place Value with Whole Numbers Homework &amp; Practice 1.2<\/h3>\n<p><strong>Write the value of the underlined digit.<\/strong><br \/>\nQuestion 1.<br \/>\n7<span style=\"text-decoration: underline;\">4<\/span>0,225<br \/>\nAnswer:<\/p>\n<p>4 is at Forty thousand place<\/p>\n<p>Question 2.<br \/>\n<span style=\"text-decoration: underline;\">6<\/span>04,197,872<br \/>\nAnswer:<\/p>\n<p>6 is at Six Hundred Lakh place<\/p>\n<p>Question 3.<br \/>\n1<span style=\"text-decoration: underline;\">2<\/span>,405,287<br \/>\nAnswer:<\/p>\n<p><strong>2\u00a0 is at\u00a0 twenty Lakh or twenty hundred thousand place<\/strong><\/p>\n<p>Question 4.<br \/>\n<span style=\"text-decoration: underline;\">3<\/span>92,183<br \/>\nAnswer:<\/p>\n<p>3 is at 3 lakhs or 3 hundred thousand place<\/p>\n<p>9\u00a0 is at ninety thousand place<\/p>\n<p>2 is at 2 thousand place<\/p>\n<p>1 is at one hundred place<\/p>\n<p>8 is at eighty place<\/p>\n<p>3 is at ones place place<\/p>\n<p>Write the number in two other forms.<br \/>\nQuestion 5.<br \/>\nStandard form: 450,014<br \/>\nWord form:<br \/>\nExpanded form:<br \/>\nAnswer:<\/p>\n<p>Word Form : 4 lakhs or 4 hundred thousand ,\u00a0 fifty thousand and fourteen<\/p>\n<p>Expanded\u00a0 Form : 4 x 1,00,000 +5 x 10000 + 1 x 10 + 4<\/p>\n<p>Question 6.<br \/>\nStandard form:<br \/>\nWord form: fourteen thousand, two hundred one<br \/>\nExpanded form:<br \/>\nAnswer:<\/p>\n<p>Standard Form : 14,201<\/p>\n<p>Expanded Form : 1 X 10000 + 4 X 1000 + 2 X 100 +1<\/p>\n<p>Question 7.<br \/>\nCompare the values of the 9s in the number 537,499.<br \/>\nAnswer:<\/p>\n<p>First 9 is at ones place, and second 9 is at tens place.<\/p>\n<p>Question 8.<br \/>\nCompare the values of the 5s in the number 78,550,634.<br \/>\nAnswer:<\/p>\n<p>First 5 is at Ten Thousands place,<\/p>\n<p>Second 5 is at Five Hundred Thousands place.<\/p>\n<p><strong>Compare.<\/strong><br \/>\nQuestion 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14745\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-11.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 11\" width=\"150\" height=\"38\" \/><br \/>\nAnswer:<\/p>\n<p>67,893 &lt; 67,943<\/p>\n<p>6 at sixty thousand place ,6 at sixty thousand place<\/p>\n<p>7 at thousand place, 7 at thousand place<\/p>\n<p>8 at eight hundred place,9 at nine hundred is great<\/p>\n<p>9 at tens place and 4 at four at tens place is less<\/p>\n<p>and 3 at ones place and 3 at ones place is same<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14746\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-12.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 12\" width=\"161\" height=\"40\" \/><br \/>\nAnswer:<\/p>\n<p>450,823 &gt; 405,823<\/p>\n<p>4 at Four hundred thousand,<\/p>\n<p>5 at fifty thousand and 0 is smaller at ten thousands place<\/p>\n<p>0 at thousands place is smaller than 5 at thousands place<\/p>\n<p>8 \u00a0at hundreds place is same as 8 at hundreds place<\/p>\n<p>2 at tens place is same as 2 at tens place<\/p>\n<p>and 3 at ones place is same as 3 at ones place<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14747\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-13.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 13\" width=\"168\" height=\"44\" \/><br \/>\nAnswer:<\/p>\n<p>176,994 = 176,994<\/p>\n<p>1 at one hundred thousand, is same at 1 at One Hundred Thousand place<\/p>\n<p>7 at Seventy thousand is same at 7 at Seventy Thousand place<\/p>\n<p>6 at six thousand is same at 6 at six thousand place<\/p>\n<p>9 at hundreds place is same at 9 at hundreds place<\/p>\n<p>9 at ninety or 9 tens place is same as 9 at Ninety or 9 Tens place<\/p>\n<p>and 4 at ones place is same as 4 at Ones place<\/p>\n<p>Question 12.<\/p>\n<p>Your body contains about 60,000 miles of blood vessels. Write this number in word form.<br \/>\nAnswer:<\/p>\n<p>60,000 miles of blood vessels in\u00a0 Word Form : <strong>Sixty Thousand miles.<\/strong><\/p>\n<p>Question 13.<br \/>\n<strong>Which One Doesn\u2019t Belong?<\/strong><br \/>\nWhich number does belong with the other three?<br \/>\n1 \u00d7 10,000 + 4 \u00d7 1,000 + 2 \u00d7 100 + 6 \u00d7 1 fourteen thousand, two hundred six<br \/>\n140,206<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14748\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-14.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 14\" width=\"390\" height=\"75\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-14.png 390w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-14-300x58.png 300w\" sizes=\"(max-width: 390px) 100vw, 390px\" \/><br \/>\nAnswer:<\/p>\n<p>No number is repeated, so no number belongs to other<\/p>\n<p>one at tens place<\/p>\n<p>4 at ones place<\/p>\n<p>2 at hundredths place<\/p>\n<p>and 6 at thousandths place.<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nFind the difference in the values of the underlined digits.<br \/>\n<span style=\"text-decoration: underline;\">8<\/span>56,092 37,<span style=\"text-decoration: underline;\">8<\/span>41<br \/>\nAnswer:<\/p>\n<p>8 is at 80 Million,<\/p>\n<p>and<\/p>\n<p>8 is at hundreds value<\/p>\n<p>the difference is 8 X 1,00,00,000 times the other\u00a0 8 value.<\/p>\n<p><strong>Use the table.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14749\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-15.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 15\" width=\"222\" height=\"232\" \/><br \/>\nQuestion 15.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nCompare the values of the 3s in the music cost.<br \/>\nAnswer: 3 is at 3 millions place and other 3 is at 3 hundreds place.<\/p>\n<p>Question 16.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nCompare the values of the 2s in the cost.<br \/>\nAnswer:<\/p>\n<p>Costs Places<\/p>\n<p>In cast 2 is at two hundred thousands place and 2 at thousands place.<\/p>\n<p>In Director 2 is at 2 millions place and 2 at thousands place.<\/p>\n<p>In Editing 2 value is not there.<\/p>\n<p>In Music also 2 is not there<\/p>\n<p>In Producers 2 value is at 2 millions place<\/p>\n<p>In Visual effects 2 place is first at thousands place and 2 is in ones place<\/p>\n<p>Question 17.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWhat is the total cost for the director and producers? Write your answer in word form.<br \/>\nAnswer: Total cost of director-$ 2,712,480+ and cost of roducer &#8211;<\/p>\n<p>$ 2,759,981 is $ 5,472,461<\/p>\n<p>Word Form : five million, four hundred thousand, seventy two thousand, four hundred sixty one dollars.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Compare<\/strong><br \/>\nQuestion 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14750\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-16.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 16\" width=\"121\" height=\"47\" \/><\/p>\n<p>Answer:<\/p>\n<p>0.14 &lt; 0.15<\/p>\n<p>0.14-0+ 1 x 1\/10+4\/100<\/p>\n<p>0 is at ones place ,1 is at 1\/10 place, and 4 is at 1 \/100 place is small<\/p>\n<p>0.15-0+1&#215;1\/10+5\/100<\/p>\n<p>0 is at ones place ,1 is at 1\/10 place, and 5 is at 1 \/ 100 place<\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14751\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-17.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 17\" width=\"104\" height=\"54\" \/><\/p>\n<p>Answer:<\/p>\n<p>2.2 = 2.20<\/p>\n<p>2.2-2 is at ones place and .2 is at 2\/10 place<\/p>\n<p>2.20- 2 is at ones place ,.2 is at 2\/10 place is same<\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14752\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.2-18.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.2 18\" width=\"117\" height=\"48\" \/><\/p>\n<p>Answer:<\/p>\n<p>5.8 &gt; 5.08<\/p>\n<p>5.8 &#8211; 5 is at ones place and .8 is at 1\/10 place<\/p>\n<p>5.08\u00a0 &#8211; 5 is at ones place and .8 is at 1\/100 place\u00a0 is small<\/p>\n<h3><a id=\"Lesson_1.3_Patterns_and_Powers_of_10\"><\/a>Lesson 1.3 Patterns and Powers of 10<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Write a multiplication expression to answer each question.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14753\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-1.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.3 1\" width=\"525\" height=\"128\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-1.png 525w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-1-300x73.png 300w\" sizes=\"(max-width: 525px) 100vw, 525px\" \/><br \/>\nHow many units are in 1 rod?<\/p>\n<p>How many units are in 10 rods?<\/p>\n<p>How many units are in 100 rods?<\/p>\n<p>How many units are in 1,000 rods?<br \/>\nAnswer:<\/p>\n<p>In 1 rod its 1 x 10<sup>0 =<\/sup>10<sup>0 <\/sup><\/p>\n<p>In 10 rods its 1 x 10 =\u00a010<sup>1<\/sup><\/p>\n<p>In 100 rods its 1 x 10 x 10 =\u00a010<sup>2<\/sup><\/p>\n<p>In 1,000 rods it is 1 x 10 x 10 x 10 =10<sup>3<\/sup><\/p>\n<p><strong>Repeated Reasoning<\/strong><br \/>\nHow many tens are in 100? in 1,000? in 10,000?<br \/>\nAnswer: In 100 its 10 tens, in 1,000 its 100 tens and in 10,000 its 1000 tens<\/p>\n<p><strong>Think and Grow: Patterns and Powers of 10<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nA power is a product of repeated factors. The base of a power is the repeated factor. The exponent of a power gives the number of times the base is used as a factor.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14754\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-2.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.3 2\" width=\"638\" height=\"269\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-2.png 638w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-2-300x126.png 300w\" sizes=\"(max-width: 638px) 100vw, 638px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nFind the value of 4 \u00d7 10<sup>3<\/sup>.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14755\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-3.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.3 3\" width=\"198\" height=\"235\" \/><br \/>\nMultiply 4 by powers of 10. Look for a pattern.<br \/>\n4 \u00d7 10<sup>1<\/sup> = 4 \u00d7 10 = _40____<br \/>\n4 \u00d7 10<sup>2<\/sup> = 4 \u00d7 10 \u00d7 10 = _400_____<br \/>\n4 \u00d7 10<sup>3<\/sup> = 4 \u00d7 10 \u00d7 10 \u00d7 10 = __4,000____<br \/>\nSo, 4 \u00d7 10<sup>3<\/sup> = ____4,00,000_.<br \/>\nNotice the pattern: In each product, the number of zeros after 4 is equal to the exponent.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 1.<br \/>\nIdentify the base, exponent, and power for the expression 10<sup>6<\/sup>.<br \/>\nAnswer:<\/p>\n<p>base : 10,<\/p>\n<p>exponent: 6<\/p>\n<p>power :10<sup>6=<\/sup> 10 x 10 x 10 x 10 x 10 x 10<\/p>\n<p>Question 2.<br \/>\nWrite the product 10 \u00d7 10 \u00d7 10 \u00d7 10 as a power.<\/p>\n<p>Answer:<\/p>\n<p>10 x 10 x 10 x 10\u00a0 as a power is 10<sup>\u00a04<\/sup><\/p>\n<p>Question 3.<br \/>\nFind the value of 5 \u00d7 10<sup>2<\/sup>.<br \/>\nAnswer:<\/p>\n<p>5 \u00d7 10<sup>2 is\u00a0<\/sup><\/p>\n<p>5 x 10 x 10 = 500<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Find each product. Use patterns to help.<\/strong><br \/>\nQuestion 4.<br \/>\n2 \u00d7 10 = _____<br \/>\n2 \u00d7 100 = _____<br \/>\n2 \u00d7 1,000 = _____<br \/>\n2 \u00d7 10,000 = ____<br \/>\nAnswer:<\/p>\n<p>2 x 10 =20<\/p>\n<p>2 x 100=200<\/p>\n<p>2 x 1,000= 2,000<\/p>\n<p>2 x 10,000 = 20,000<\/p>\n<p>Question 5.<br \/>\n9 \u00d7 10 = _____<br \/>\n9 \u00d7 100 = _____<br \/>\n9 \u00d7 1,000 = _____<br \/>\n9 \u00d7 10,000 = ____<br \/>\nAnswer:<\/p>\n<p>9 x 10 = 90<\/p>\n<p>9 x 100 = 900<\/p>\n<p>9 x 1,000= 9,000<\/p>\n<p>9 x 10,000 = 90,000<\/p>\n<p>Question 6.<br \/>\n5 \u00d7 10 = _____<br \/>\n5 \u00d7 100 = _____<br \/>\n5 \u00d7 1,000 = _____<br \/>\n5 \u00d7 10,000 = ____<br \/>\nAnswer:<\/p>\n<p>5 x 10 = 50<\/p>\n<p>5 x 100= 500<\/p>\n<p>5 x 1,000 = 5,000<\/p>\n<p>5 x 10,000 = 50,000<\/p>\n<p><strong>Find the value of the expression.<\/strong><br \/>\nQuestion 7.<br \/>\n10<sup>4<\/sup><br \/>\nAnswer:<\/p>\n<p>10<sup>4= <\/sup>10 x 10 x 10 x 10 = 10,000<\/p>\n<p>Question 8.<br \/>\n6 \u00d7 10<sup>5<\/sup><br \/>\nAnswer:<\/p>\n<p>6 \u00d7 10<sup>5 = <\/sup>6 x 10 x 10 x 10 x 10 x 10 = 6,00,000<\/p>\n<p>Question 9.<br \/>\n7 \u00d7 10<sup>2<\/sup><br \/>\nAnswer:<\/p>\n<p>7 \u00d7 10<sup>2 = <\/sup>7 x 10 x 10 = 700<\/p>\n<p>Question 10.<br \/>\n5 \u00d710 <sup>4<\/sup><br \/>\nAnswer:<\/p>\n<p>5 \u00d710 <sup>4= <\/sup>5 x 10 x 10 x 10 x 10 = 50,000<\/p>\n<p><strong>Rewrite the number as a whole number multiplied by a power of 10.<\/strong><br \/>\nQuestion 11.<br \/>\n20,000<br \/>\nAnswer:<\/p>\n<p>20,000=2 x 10<sup>4<\/sup><\/p>\n<p>Question 12.<br \/>\n500<br \/>\nAnswer:<\/p>\n<p>500=5 X 10<sup>2<\/sup><\/p>\n<p>Question 13.<br \/>\n900,000<br \/>\nAnswer:<\/p>\n<p>9,00,000=9 x 10<sup>5<\/sup><\/p>\n<p><strong>Number Sense<\/strong><br \/>\n<strong>Write the number in expanded form using exponents.<\/strong><br \/>\nQuestion 14.<br \/>\n53,124<br \/>\n(5 \u00d7 10<sup>4<\/sup>) + ______<br \/>\nAnswer:<\/p>\n<p>53,214=(5 \u00d7 10<sup>4<\/sup>) +( 3 x 10<sup>3<\/sup>)+(1 x 10<sup>2<\/sup>) + (2 x10<sup>1<\/sup>)+ (4 x10<sup>0<\/sup>)<\/p>\n<p>Question 15.<br \/>\n8624<br \/>\n(8 \u00d7 10<sup>2<\/sup>) + _______<br \/>\nAnswer:<\/p>\n<p>8624=(8 x 10<sup>3<\/sup> )+(6 x 10<sup>2<\/sup>) +(2 x 10<sup>1<\/sup>)+(4&#215;10<sup>0<\/sup>)<\/p>\n<p>Question 16.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYour friend writes (3 \u00d7 10<sup>4<\/sup>) + (5 \u00d7 10<sup>3<\/sup>) + (2 \u00d7 10<sup>2<\/sup>) + 4 as the expanded form of thirty-five thousand, twenty-four. Explain what your friend did wrong.<br \/>\nAnswer:<\/p>\n<p>(3 \u00d7 10<sup>4<\/sup>) is 3 x 10 x 10 x 10 x 10 = 30,000 is Thirty Thousand<\/p>\n<p>(5 \u00d7 10<sup>3<\/sup>) is 5 x 10 x 10 x 10 = 5,000 is five thousand<\/p>\n<p>(2 \u00d7 10<sup>2<\/sup>) is 2 x 10 x 10 = 200 is two hundred not twenty<\/p>\n<p>and 4 is four,<\/p>\n<p>it is\u00a0 thirty-five thousand, two hundred and four= 35,204<\/p>\n<p>not thirty-five thousand, twenty-four \u2260 35,024<\/p>\n<p>35,204 is right<\/p>\n<p>35,024 is wrong<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nNewton and Descartes are running for mayor. How many people voted in the election?<br \/>\nFind the number of votes for each candidate.<br \/>\nNewton: 10<sup>5<\/sup> = ______<br \/>\nDescartes: 9 \u00d7 10<sup>4<\/sup> = ______<br \/>\nAdd the votes for Newton and Descartes.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14756\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-4.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.3 4\" width=\"222\" height=\"257\" \/><br \/>\n______ people voted in the election.<\/p>\n<p>Newton: 10<sup>5<\/sup> =\u00a0 10 x 10 x 10 x 10 x 10 is 1,00,000<\/p>\n<p>Descartes: 9 \u00d7 10<sup>4<\/sup> = 9 x 10 x 10 x 10 x 10 is 90,000<\/p>\n<p>so total people voted is 1,00,00 + 90,000 = 1,90,000<\/p>\n<p>&nbsp;<\/p>\n<table style=\"height: 172px;\" width=\"114\">\n<tbody>\n<tr>\n<td width=\"85\">\u00a01,00,000<\/td>\n<\/tr>\n<tr>\n<td width=\"85\">\u00a0+ 90,000<\/td>\n<\/tr>\n<tr>\n<td width=\"85\">=1,90,000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>1,90,000 Voted in the election.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 17.<br \/>\nA surf shop has been in business for two years. What are the total sales for Year 1 and Year 2 combined?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14757\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-5.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.3 5\" width=\"168\" height=\"114\" \/><br \/>\nAnswer:<\/p>\n<p>Year 1 $ 10<sup>4 = <\/sup>10 x 10 x 10 x 10 =10,000<\/p>\n<p>Year 2 $ 6 x 10<sup>5<\/sup>= 6 x 10 x 10 x 10 x 10 x 10 = 6,00,000<\/p>\n<table style=\"height: 156px;\" width=\"211\">\n<tbody>\n<tr>\n<td width=\"109\">\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a010,000<\/td>\n<\/tr>\n<tr>\n<td width=\"109\">\u00a0+ 6,00,000<\/td>\n<\/tr>\n<tr>\n<td width=\"109\">=\u00a0 6,10,000<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>there fore total sales for Year 1 and Year 2 combined is\u00a0 is 6,10,000 .<\/p>\n<p>Question 18.<br \/>\nWhich migration is farther? About how much farther is it?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14758\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-6.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.3 6\" width=\"359\" height=\"148\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-6.png 359w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-6-300x124.png 300w\" sizes=\"(max-width: 359px) 100vw, 359px\" \/><br \/>\nAnswer:<\/p>\n<p>Chinook Salmon about 4 x 10<sup>3km<\/sup><\/p>\n<p>4 X 10 x 10 x 10 = 4000 km<\/p>\n<p>and<\/p>\n<p>Leatherback Turtle about 2 X 10<sup>4 <\/sup>km<\/p>\n<p>2 x 10 x 10 x 10 x 10 = 20,000 km<\/p>\n<p>So Leatherback Turtle is\u00a0 farther and<\/p>\n<p>20,000 km &#8211; 4000 km = 16,000 km<\/p>\n<p>it is 16,000 km farther<\/p>\n<p>Question 9.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA human has about 10<sup>4<\/sup> taste buds. A cow has about 3 times as many taste buds as a human. About how many taste buds does a cow have? Write your answer as a whole number multiplied by a power of 10.<br \/>\nAnswer:<\/p>\n<p>(10<sup>4<\/sup>) 3 time means (10<sup>4<\/sup>)<sup>3\u00a0<\/sup><\/p>\n<p>as per the law powers are multiplied 4 x 3<\/p>\n<p>(10<sup>4&#215;3<\/sup>) = (10<sup>12<\/sup>)<\/p>\n<p>(10<sup>4&#215;3<\/sup>)= 1 X (10<sup>4<\/sup>) x (10<sup>4<\/sup>)\u00a0 x (10<sup>4<\/sup>)<\/p>\n<p>(10<sup>12<\/sup>)= 1 x (10 x 10 x 10 x 10 ) x (10 x 10 x 10 x 10 ) x (10\u00a0 x 10 x 10 x 10)<\/p>\n<h3><a id=\"Patterns_and_Powers_of_10_Homework_&amp;_Practice_1.3\"><\/a>Patterns and Powers of 10 Homework &amp; Practice 1.3<\/h3>\n<p>Question 1.<br \/>\nIdentify the base, exponent, and power for the expression 10<sup>3<\/sup>.<br \/>\nAnswer:<\/p>\n<p>base: 10<\/p>\n<p>exponent:\u00a0 3<\/p>\n<p>power : 10<sup>3= <\/sup>10 x 10 x 10<\/p>\n<p>Question 2.<br \/>\nWrite 10 \u00d7 10 \u00d7 10 \u00d7 10 a power.<br \/>\nAnswer:<\/p>\n<p>10 x 10 x 10 x 10 = 10<sup>4<\/sup><\/p>\n<p><strong>Find each product. Use patterns to help.<\/strong><br \/>\nQuestion 3.<br \/>\n6 \u00d7 10 = ______<br \/>\n6 \u00d7 100 = _____<br \/>\n6 \u00d7 1,000 = _____<br \/>\n6 \u00d7 10,000 = _____<br \/>\nAnswer:<\/p>\n<p>6 x 10=6 \u00d7 10<sup>1 =<\/sup>\u00a060<\/p>\n<p>6 x 100 =6 \u00d7 10<sup>2<\/sup> = 600<\/p>\n<p>6 X 1,000=6 \u00d7 10<sup>3 =<\/sup>\u00a0 6,000<\/p>\n<p>6 x 10,000 = 6 \u00d7 10<sup>4<\/sup>= 60,000<\/p>\n<p>Question 4.<br \/>\n8 \u00d7 10 = ______<br \/>\n8 \u00d7 100 = _____<br \/>\n8 \u00d7 1,000 = _____<br \/>\n8 \u00d7 10,000 = _____<br \/>\nAnswer:<\/p>\n<p>8 x 10=8 \u00d7 10<sup>1 =<\/sup> 80<\/p>\n<p>8 x 100 =8 \u00d7 10<sup>2<\/sup> = 800<\/p>\n<p>8 X 1,000=8 \u00d7 10<sup>3 =<\/sup> 8,000<\/p>\n<p>8 x 10,000 = 8\u00a0\u00d7 10<sup>4<\/sup>= 80,000<\/p>\n<p>Question 5.<br \/>\n4 \u00d7 10 = ______<br \/>\n4 \u00d7 100 = _____<br \/>\n4 \u00d7 1,000 = _____<br \/>\n4 \u00d7 10,000 = _____<br \/>\nAnswer:<\/p>\n<p>4 x 10=4 \u00d7 10<sup>1 =<\/sup> 40<\/p>\n<p>4 x 100 =4 \u00d7 10<sup>2<\/sup> = 400<\/p>\n<p>4 X 1,000= 4\u00d7 10<sup>3 =<\/sup> 4,000<\/p>\n<p>4 x 10,000 = 4 \u00d7 10<sup>4<\/sup>= 40,000<\/p>\n<p><strong>Find the value of the expression.<\/strong><br \/>\nQuestion 6.<br \/>\n10<sup>3<\/sup><br \/>\nAnswer:<\/p>\n<p>10<sup>3 = <\/sup>10 x 10 x 10 = 1,000<\/p>\n<p>Question 7.<br \/>\n2 \u00d7 10<sup>4<\/sup><br \/>\nAnswer:<\/p>\n<p>2 \u00d7 10<sup>4 = <\/sup>2 x 10 x 10 x 10 x 10 = 20,000<\/p>\n<p>Question 8.<br \/>\n9 \u00d7 10<sup>5<\/sup><br \/>\nAnswer:<\/p>\n<p>9 \u00d7 10<sup>5\u00a0 \u00a0= <\/sup>\u00a09 x 10 x 10 x 10 x 10 x 10 = 9,00,000<\/p>\n<p>Question 9.<br \/>\n3 \u00d7 10<sup>2<\/sup><br \/>\nAnswer:<\/p>\n<p>3 \u00d7 10<sup>2\u00a0 =<\/sup> 3 x 10 x 10 = 300<\/p>\n<p><strong>Rewrite the number as a whole number multiplied by a power of 10.<\/strong><br \/>\nQuestion 10.<br \/>\n100,000<br \/>\nAnswer:<\/p>\n<p>100,000 = 1 x 10 x 10 x 10 x 10 x 10 = 1\u00a0\u00d7 10<sup>5<\/sup><\/p>\n<p>Question 11.<br \/>\n70<br \/>\nAnswer:<\/p>\n<p>70 = 7 x 10 = 7 x 10<sup>1 <\/sup><\/p>\n<p>Question 12.<br \/>\n6,000<br \/>\nAnswer:<\/p>\n<p>6,000 = 6 x 10 x 10 x 10 = 6 x 10<sup>3\u00a0<\/sup><\/p>\n<p><strong>Number Sense<\/strong><br \/>\n<strong>Write the number in standard form.<\/strong><br \/>\nQuestion 13.<br \/>\n(3 \u00d7 10<sup>2<\/sup>) + (8 \u00d7 10<sup>1<\/sup>)<br \/>\nAnswer:<\/p>\n<p>(3 \u00d7 10<sup>2<\/sup>) + (8 \u00d7 10<sup>1<\/sup>)\u00a0 = 3 x 10 x 10 + 8 x 10<\/p>\n<p>3 x 100 + 80<\/p>\n<p>300+ 80 = 380<\/p>\n<p>Question 14.<br \/>\n(2 \u00d7 10<sup>3<\/sup>) + (5 \u00d7 10<sup>2<\/sup>) + (4 \u00d7 10<sup>1<\/sup>)<br \/>\nAnswer:<\/p>\n<p>(2 \u00d7 10<sup>3<\/sup>) + (5 \u00d7 10<sup>2<\/sup>) + (4 \u00d7 10<sup>1<\/sup>) =\u00a0 2 x 10 x 10 x 10 + 5 x 10 x 10 + 4 x 10<\/p>\n<p>2,000 + 500 + 40<\/p>\n<p>2,540<\/p>\n<p>Question 15.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nNewton 6 says 10<sup>6<\/sup> = 10 \u00d7 6. Is he correct? Explain<br \/>\nAnswer:<\/p>\n<p>No he is wrong because\u00a0 10<sup>6<\/sup> \u00a0\u2260\u00a0 10 \u00d7 6 it is 10 is to be multiplied by\u00a0 6 times ,<\/p>\n<p>10<sup>6 = <\/sup>10 x 10 x 10 x 10 x 10 x 10=10,00,000\u00a0is correct<\/p>\n<p>Question 16.<br \/>\n<strong>Which One Doesn\u2019t Belong?<\/strong><br \/>\nWhich one does not belong with the other three?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14759\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-7.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.3 7\" width=\"298\" height=\"96\" \/><br \/>\nAnswer:<\/p>\n<p>Both are different blocks , in first block it is\u00a0 square and next it is cube.<sup>\u00a0\u00a0<\/sup><\/p>\n<p>Question 17.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nEach student at an elementary school votes once on this year\u2019s field trip. How many students voted in all?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14760\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-8.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.3 8\" width=\"214\" height=\"98\" \/><br \/>\nAnswer:<\/p>\n<p>Aquarium = 7 x 10<sup>2 <\/sup>= <sup>\u00a0 <\/sup>7 x 10 x 10 = 700<\/p>\n<p>Amusement Park =\u00a010<sup>3\u00a0 = <\/sup>10 x 10 x 10 =\u00a0 1000<\/p>\n<p>700 + 1000 = 1,700<\/p>\n<p>So total number of students voted are =\u00a0 1,700.<\/p>\n<p>Question 18.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nOn which day did more people attend the event? How many more people?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14761\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-9.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.3 9\" width=\"229\" height=\"101\" \/><br \/>\nAnswer:<\/p>\n<p>Friday = 10 x 10 x 10 = 1,000<\/p>\n<p>Saturday = 5 x 10<sup>2 <\/sup>= 5 x 10 x 10 = 500<\/p>\n<p>on Friday more people attend the event<\/p>\n<p>and more are 1,000 &#8211; 500 = 500 , s0 500 more people attended.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Divide. Then check your answer<\/strong><br \/>\nQuestion 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14762\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-10.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.3 10\" width=\"115\" height=\"80\" \/><br \/>\nAnswer:<\/p>\n<p>Step 1)\u00a0Start by dividing 65 by 6 to get the decimal answer as illustrated below. Note that we round the answer if necessary, but don&#8217;t worry, the final answer will still be exact.<\/p>\n<p>65 \/ 6 = 10.83<\/p>\n<p>Step 2)\u00a0Next we take the Whole part of the answer in Step 1 and multiply it by the Divisor. As you can see, it does not matter if we rounded in the previous step because the Decimal part is ignored. Furthermore, the Divisor in 65 divided by 6 is 6. Thus, the Whole multiplied by the Divisor is:<\/p>\n<p>10 x 6 = 60<\/p>\n<p>Step 3)\u00a0Finally, we will subtract the answer in Step 2 from the Dividend to get the answer. The Dividend in 65 divided by 6 is 65. Thus, our final calculation to get the answer is:<\/p>\n<p>65 &#8211; 60 = 5<\/p>\n<p><strong>the answer is 5<\/strong>.<\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14763\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-11.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.3 11\" width=\"112\" height=\"76\" \/><br \/>\nAnswer:<\/p>\n<p>Step 1)\u00a0Start by dividing 50 by 4 to get the decimal answer as illustrated below. Note that we round the answer if necessary, but don&#8217;t worry, the final answer will still be exact.<\/p>\n<p>50 \/ 4 = 12.50<\/p>\n<p>Step 2)\u00a0Next we take the Whole part of the answer in Step 1 and multiply it by the Divisor. As you can see, it does not matter if we rounded in the previous step because the Decimal part is ignored. Furthermore, the Divisor in 50 divided by 4 is 4. Thus, the Whole multiplied by the Divisor is:<\/p>\n<p>12 x 4 = 48<\/p>\n<p>Step 3)\u00a0Finally, we will subtract the answer in Step 2 from the Dividend to get the answer. The Dividend in 50 divided by 4 is 50. Thus, our final calculation to get the answer is:<\/p>\n<p>50 &#8211; 48 = 2<\/p>\n<p>the answer is 2.<\/p>\n<p>Question 21.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14764\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.3-12.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.3 12\" width=\"65\" height=\"61\" \/><br \/>\nAnswer:<\/p>\n<p>Step 1) Start by dividing 45 by 3 to get the decimal answer as illustrated below. Note that we round the answer if necessary, but don&#8217;t worry, the final answer will still be exact.<\/p>\n<p>45 \/ 3 = 15<\/p>\n<p>the answer is 0.<\/p>\n<h3><a id=\"Lesson_1.4_Decimals_to_Thousandths\"><\/a>Lesson 1.4 Decimals to Thousandths<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Divide the square into10 equal parts. Shade one part. What part of the whole is shaded?<br \/>\nFraction: Decimal:<\/p>\n<p>Divide each of the 10 parts into 10 equal parts. Shade one part using a different color. What part of the whole is shaded with the second color?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14765\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts 1.4 1\" width=\"200\" height=\"202\" \/><br \/>\nFraction: Decimal:<\/p>\n<p>If you divide each of the 100 equal parts into10 equal parts, how many parts will the model have?<\/p>\n<p>If you shade one of those parts, what part of the whole is shaded?<br \/>\nFraction: Decimal:<br \/>\nAnswer:<\/p>\n<p>the model will have 10 parts , only 1\/ 10th part is shaded, 0.1<\/p>\n<p><strong>Structure<\/strong><br \/>\nCompare the number of hundredths to the number of tenths. Compare the number of hundredths to the number of thousandths. What do you notice?<br \/>\nAnswer:<\/p>\n<p>number of hundredths to the number of tenths is 10 to 100 , 10\/100=1\/10 = 0.1<\/p>\n<p>number of hundredths to the number of thousandths is<\/p>\n<p>100 to 1000, 100\/1000 =1\/10= 0.1<\/p>\n<p>both has equal values 1\/10 = 0.1<\/p>\n<p>the number of hundredths to the number of tenths is equal to the number of hundredths to the number of thousandths<\/p>\n<p><strong>Think and Grow: Thousandths<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nIn a decimal, the third place to the right of the decimal point is the thousandths place. You can write thousandths as fractions or decimals.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14766\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-2.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts 1.4 2\" width=\"394\" height=\"121\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-2.png 394w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-2-300x92.png 300w\" sizes=\"(max-width: 394px) 100vw, 394px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14767\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-3.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts 1.4 3\" width=\"672\" height=\"506\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-3.png 672w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-3-300x226.png 300w\" sizes=\"(max-width: 672px) 100vw, 672px\" \/><\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Write the decimal as a fraction.<\/strong><br \/>\nQuestion 1.<br \/>\n0.009<\/p>\n<p>Answer:<\/p>\n<p>0.009= 9 \/ 1,000 = 9 x 1\/1,000<\/p>\n<p>Question 2.<br \/>\n0.063<br \/>\nAnswer:<\/p>\n<p>0.063 = 63 \/ 1,000= 63 x 1\/1,000<\/p>\n<p>Question 3.<br \/>\n0.194<br \/>\nAnswer:<\/p>\n<p>0.194 = 194 \/ 1,000= 194 x 1\/1,000<\/p>\n<p>Write the fraction as a decimal<br \/>\nQuestion 4.<br \/>\n\\(\\frac{3}{1,000}\\)<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{3}{1,000}\\)= 3 x 1\/ 1,000=\u00a0 0.003<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{91}{1,000}\\)<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{91}{1,000}\\)= 91 x 1\/ 1,000 = 0.091<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{607}{1,000}\\)<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{607}{1,000}\\)= 607 x 1\/1,000= 0.607<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Write the decimal as a fraction.<\/strong><br \/>\nQuestion 7.<br \/>\n0.645<br \/>\nAnswer:<\/p>\n<p>0.645= 645x 1\/1,000= 645\/1,000<\/p>\n<p>Question 8.<br \/>\n0.002<br \/>\nAnswer:<\/p>\n<p>0.002=2 x 1\/1,000=\u00a0 2\/1,000<\/p>\n<p>Question 9.<br \/>\n0.98<br \/>\nAnswer:<\/p>\n<p>0.98= 98 x 1\/ 1,000= 98\/1,000<\/p>\n<p>Question 10.<br \/>\n0.6<br \/>\nAnswer:<\/p>\n<p>0.6 = 6 x 1\/10= 0.6\/10<\/p>\n<p><strong>Write the fraction as a decimal.<\/strong><br \/>\nQuestion 11.<br \/>\n\\(\\frac{884}{1,000}\\)<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{884}{1,000}\\)= 884x 1\/1,000= 0.884<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{8}{1,000}\\)<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{8}{1,000}\\)= 8 x 1\/1,000= 0.008<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{39}{100}\\)<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{39}{100}\\)= 39 x 1\/ 100= 0.39<\/p>\n<p>Question 14.<br \/>\n\\(\\frac{1}{10}\\)<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{1}{10}\\)= 1 x 1\/10 = 0.1<\/p>\n<p>Question 15.<br \/>\n0.4 is \\(\\frac{1}{10}\\) of what number?<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{4}{10}\\) is 0.4<\/p>\n<p>Question 16.<br \/>\n0.52 is 10 times as great as what number?<br \/>\nAnswer:<\/p>\n<p>0.52 is 10 times as great as 0.052<\/p>\n<p>Question 17.<br \/>\nYou use 47 of the cotton balls for an art project. What portion of the bag of cotton balls do you use? Write your answer as a decimal.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14768\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-4.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts 1.4 4\" width=\"120\" height=\"136\" \/><br \/>\nAnswer:<\/p>\n<p>47\/100= 47 x 1\/100= 0.47<\/p>\n<p>Question 18.<br \/>\n<strong>Which One Doesn\u2019t Belong?<\/strong><br \/>\nWhich number does not belong with the other three?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14769\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-5.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts 1.4 5\" width=\"676\" height=\"59\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-5.png 676w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-5-300x26.png 300w\" sizes=\"(max-width: 676px) 100vw, 676px\" \/><br \/>\nAnswer:<\/p>\n<p>0.29 does not belongs to other three<\/p>\n<p>Question 19.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says the value of the 7 in the hundredths place of 0.877 is 10 times as great as the 7 in the thousandths place. Is your friend correct? Explain.<br \/>\nAnswer:<\/p>\n<p>Yes , because the value of 7 in the hundredths place as compared is 10 times as great as the 7 in the thousands place.<\/p>\n<p>Question 20.<br \/>\nWrite each fraction as a decimal. What do you notice?<br \/>\n\\(\\frac{4}{10}\\), \\(\\frac{40}{100}\\) and \\(\\frac{400}{1,000}\\)<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{4}{10}\\)=0.4<\/p>\n<p>\\(\\frac{40}{100}\\) =0.4<\/p>\n<p>\\(\\frac{400}{1,000}\\)=0.4<\/p>\n<p>number of tenths, tenths number of hundredths and hundredths number of thousandths are same.<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYou put together 156 pieces of the puzzle before lunch and 148 pieces of the puzzle after lunch. What portion of the puzzle did you put together? Write your answer as a decimal.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14770\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-6.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts 1.4 6\" width=\"240\" height=\"177\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14771\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-7.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts 1.4 7\" width=\"602\" height=\"158\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-7.png 602w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-7-300x79.png 300w\" sizes=\"(max-width: 602px) 100vw, 602px\" \/><br \/>\nWrite the fraction as a decimal.<br \/>\nYou put together ____0.304__ of the puzzle.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 21.<br \/>\nYou make flash cards out of index cards. You use 50 index cards for social studies and 25 index cards for science. What portion of the pack of index cards do you use? Write your answer as a decimal.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14772\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-8.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts 1.4 8\" width=\"153\" height=\"140\" \/><br \/>\nAnswer:<\/p>\n<p>50 for social studies, 25 for science total is 50 + 25 = 75, total number of flash cards is 1,000 ,<\/p>\n<p>75 \/ 1,000 or 75 by 1,000 or 75 x 1\/1,000= 0.075<\/p>\n<p>Question 22.<br \/>\nThere are 458 knock-knock jokes in the book. not What fraction of the jokes in the book are knock-knock jokes?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14773\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-9.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts 1.4 9\" width=\"167\" height=\"177\" \/><br \/>\nAnswer:<\/p>\n<p>458\/1,000 or 458 x 1\/1,000 of jokes books in knock- knock jokes.<\/p>\n<p>Question 23.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA newly hatched caterpillar was 0.02 inches long. After 2 weeks, the caterpillar grew 10 times as long as its length when it hatched. After another 2 weeks, the caterpillar grew 10 times as long as its length after 2 weeks. How long is the caterpillar now?<br \/>\nAnswer: First week it is 0.02 inches,<\/p>\n<p>in two weeks -2 weeks-0.02 x 10 = 0.2 inches<\/p>\n<p>again after 2 weeks -0.2 x 10 = 2 inches<\/p>\n<h3><a id=\"Decimals_to_Thousandths_Homework_&amp;_Practice_1.4\"><\/a>Decimals to Thousandths Homework &amp; Practice 1.4<\/h3>\n<p><strong>Write the decimal as a fraction.<\/strong><br \/>\nQuestion 1.<br \/>\n0.735<br \/>\nAnswer:<\/p>\n<p>0.735= 735 \/ 1,000= 735 x 1\/1,000<\/p>\n<p>Question 2.<br \/>\n0.051<br \/>\nAnswer:<\/p>\n<p>0.051= 51 \/ 1,000= 51 x 1\/1,000<\/p>\n<p>Question 3.<br \/>\n0.804<br \/>\nAnswer:<\/p>\n<p>0.804 = 804 \/ 1,000= 804 x 1\/ 1,000<\/p>\n<p>Question 4.<br \/>\n0.2<br \/>\nAnswer:<\/p>\n<p>0.2 = 2 \/ 10= 2 x 1\/10<\/p>\n<p><strong>Write the fraction as a decimal.<\/strong><br \/>\nQuestion 5.<br \/>\n\\(\\frac{98}{1,000}\\)<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{98}{1,000}\\)=98 x 1\/1,000= 0.098<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{67}{100}\\)<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{67}{100}\\)= 67 x 1\/100=0.67<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{4}{100}\\)<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{4}{100}\\)= 4 x 1\/100=0.04<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{9}{10}\\)<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{9}{10}\\)= 9 x 1\/10= 0.9<\/p>\n<p>Question 9.<br \/>\n0.08 is 10 times as great as what number?<br \/>\nAnswer:<\/p>\n<p>0.008<\/p>\n<p>if 0.008 is multiplied by 10 times it becomes 0.08<\/p>\n<p>Question 10.<br \/>\n0.001 is \\(\\frac{1}{10}\\) of what number?<br \/>\nAnswer:<\/p>\n<p>0.0001<\/p>\n<p>if 0.0001 is \\(\\frac{1}{10}\\) equals to 0.001<\/p>\n<p>Question 11.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says that \\(\\frac{16}{1,000}\\) can be written as 0.16. Is your friend correct? Explain.<br \/>\nAnswer: No, because if 16 \/ 1,000 or 16 x 1\/1,000 is 0.016 not 0.16,<\/p>\n<p>0.016 \u2260 0.16<\/p>\n<p>so he is incorrect.<\/p>\n<p>Question 12.<br \/>\n<strong>Precision<\/strong><br \/>\nThirteen unit cubes are taken from the thousand cube. Write a fraction and a decimal to represent how many unit cubes are left.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14774\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-10.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts 1.4 10\" width=\"104\" height=\"102\" \/><br \/>\nAnswer:<\/p>\n<p>13 units cubes are taken<\/p>\n<p>Total number of units are\u00a0 1000<\/p>\n<p>left are from 1,000-13\/1,000=87\/1000<\/p>\n<p>87 \/ 1,000 and 0.087 cubes are left<\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWrite the number represented by each point on the number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14775\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-11.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts 1.4 11\" width=\"286\" height=\"59\" \/><br \/>\nPoint X: _____<br \/>\nPoint Y: ___<br \/>\nAnswer:<\/p>\n<p>on the number line Point X = 7.633 as we move from 7.63 to three places forward<\/p>\n<p>so Point X is 7.633<\/p>\n<p>on the number line Point Y = 7.638 as we move from 7.63 its eighth place forward<\/p>\n<p>and Point Y is 7.638<\/p>\n<p>Question 14.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA restaurant owner has a 1,000-count box of napkins. She puts 125 of the napkins on tables. What portion of the box of napkins does she use for the tables? Write your answer as a decimal.<br \/>\nAnswer:<\/p>\n<p>Restaurant has 1,000 count box of napkins and keeps 125 on table so portion of the box she uses is\u00a0 125\/1,000= 125 x 1\/ 1,000=\u00a00.125<\/p>\n<p>Question 15.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYour friend has a recipe book with 1,000 recipes. She wants to try two new recipes each week. What fraction of the recipes in the book will she have tried after 1 year?<br \/>\nAnswer:<\/p>\n<p>In a year there are almost 52 weeks. Each week 2 means 2 x 52 =approximately\u00a0 104 recipes in a year.<\/p>\n<p>so in a year she would have tired 104 \/ 1,000= 104 x 1\/1,000 = 0.104 recipes.<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p>Question 16.<br \/>\nExtend the pattern of shapes by repeating the rule \u201csquare, octagon, pentagon, octagon \u201dWhat is the 48th shape in the pattern?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14776\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-12.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts 1.4 12\" width=\"560\" height=\"69\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-12.png 560w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.4-12-300x37.png 300w\" sizes=\"(max-width: 560px) 100vw, 560px\" \/><br \/>\nAnswer:<\/p>\n<p>&#8221; square, octagon, pentagon, octagon, hexagon, octagon , heptagon , octagon,<\/p>\n<p>octagon, octagon, nonagon, octagon , decagon, octagon,<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"42\">11<\/td>\n<td width=\"156\">hendecagon<\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">12<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Dodecagon\">dodecagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">13<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Tridecagon\">tridecagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">14<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Tetradecagon\">tetradecagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">15<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Pentadecagon\">pentadecagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">16<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Hexadecagon\">hexadecagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">17<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Heptadecagon\">heptadecagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">18<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Octadecagon\">octadecagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">19<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Enneadecagon\">enneadecagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">20<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Icosagon\">icosagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">21<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Icosikaihenagon\">icosikaihenagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">22<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Icosikaidigon\">icosikaidigon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">23<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Icosikaitrigon\">icosikaitrigon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">24<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Icosikaitetragon\">icosikaitetragon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">25<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Icosikaipentagon\">icosikaipentagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">26<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Icosikaihexagon\">icosikaihexagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">27<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Icosikaiheptagon\">icosikaiheptagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">28<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Icosikaioctagon\">icosikaioctagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">29<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Icosikaienneagon\">icosikaienneagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">30<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Triacontagon\">triacontagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">31<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Triacontakaihenagon\">triacontakaihenagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">32<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Triacontakaidigon\">triacontakaidigon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">33<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Triacontakaitrigon\">triacontakaitrigon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">34<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Triacontakaitetragon\">triacontakaitetragon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">35<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Triacontakaipentagon\">triacontakaipentagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">36<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Triacontakaihexagon\">triacontakaihexagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">37<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/w\/index.php?title=Triacontakaiheptagon&amp;action=edit&amp;redlink=1\">triacontakaiheptagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">38<\/td>\n<td width=\"156\">triacontakaioctagon<\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">39<\/td>\n<td width=\"156\">triacontakaienneagon<\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">40<\/td>\n<td width=\"156\"><a href=\"https:\/\/en.wikipedia.org\/wiki\/Tetracontagon\">tetracontagon<\/a><\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">41<\/td>\n<td width=\"156\">tetracontakaihenagon<\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">42<\/td>\n<td width=\"156\">tetracontakaidigon<\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">43<\/td>\n<td width=\"156\">tetracontakaitrigon<\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">44<\/td>\n<td width=\"156\">tetracontakaitetragon<\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">45<\/td>\n<td width=\"156\">tetracontakaipentagon<\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">46<\/td>\n<td width=\"156\">tetracontakaihexagon<\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">47<\/td>\n<td width=\"156\">tetracontakaiheptagon<\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<tr>\n<td width=\"42\">48<\/td>\n<td width=\"156\">tetracontakaioctagon<\/td>\n<td width=\"90\">Octagon<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><a id=\"Lesson_1.5_Place_Value_with_Decimals\"><\/a>Lesson 1.5 Place Value with Decimals<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Model the number. Draw your model.<br \/>\nThen write the value of each digit.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14777\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-1.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.5 1\" width=\"569\" height=\"423\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-1.png 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-1-300x223.png 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-16581 size-full\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/math.bmp\" alt=\"\" width=\"569\" height=\"519\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/math.bmp 569w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/math-300x274.jpg 300w\" sizes=\"(max-width: 569px) 100vw, 569px\" \/><\/p>\n<p>from the model 3.33 =<\/p>\n<p>0nes digit is &#8211; 3<\/p>\n<p>tenths digit is 3\/10 =0.3<\/p>\n<p>hundredths digit is 3\/ 100 = 0.03<\/p>\n<p><strong>Repeated Reasoning<\/strong><br \/>\nCompare the value of the ones digit to the value of the tenths digit. Then do the same with the tenths and the hundredths digits. Explain why you can use base ten blocks to model ones, tenths, and hundredths.<br \/>\nAnswer:<\/p>\n<p>a digit in one place represents one and 10 times more what it represents in the place to its right and that is tenths digit.<br \/>\nSimilarly a digit in tenths place represents tenth and 10 times more what it represents in the place to its right and that is hundredths digit.<\/p>\n<p>Each place to the left is 10 times the size of the place to the right, and base 10 blocks are the best way to model ones, tenths, and hundredths.<\/p>\n<p><img src=\"https:\/\/images.slideplayer.com\/19\/5829437\/slides\/slide_2.jpg\" alt=\"OPERATIONS WITH DECIMALS. Using Base Ten Blocks to Multiply Decimals Flat = one (1) Long = one tenth (0.1) rod = one hundredth (0.01) - ppt download\" \/><\/p>\n<p><strong>Think and Grow: Place Value with Decimals<\/strong><\/p>\n<p><strong>Key Idea<\/strong><br \/>\nIn a place value chart, whole numbers are to the left of the decimal point. Decimals are to the right of the decimal point.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14778\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-2.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.5 2\" width=\"691\" height=\"385\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-2.png 691w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-2-300x167.png 300w\" sizes=\"(max-width: 691px) 100vw, 691px\" \/><br \/>\nStandard form:2.557<br \/>\nWord form:&#8221; Two and five hundred fifty-seven\u00a0 thousandths&#8221;<br \/>\nExpanded form: 2 \u00d7 1 + __5__ \u00d7\\(\\frac{1}{10}\\)____ + 5 \u00d7 \\(\\frac{1}{100}\\) + _7_ \u00d7 \\(\\frac{1}{1000}\\)__<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Write the number in two other forms.<\/strong><br \/>\nQuestion 1.<br \/>\nStandard form: 0.398<br \/>\nWord form:<br \/>\nExpanded form:<\/p>\n<p>Answer:<\/p>\n<p>Word form: &#8220;Three hundred ninety &#8211; eight thousandths&#8221;<br \/>\nExpanded form: 3 x (1\/10) + 9 x (1\/100) + 8 x (1\/1,000)<\/p>\n<p>Question 2.<br \/>\nStandard form:<br \/>\nWord form: eight and forty-six thousandths<br \/>\nExpanded form:<br \/>\nAnswer:<\/p>\n<p>Standard form:8.046<\/p>\n<p>Expanded form: 8 x 1 + (4 \/100) + (6 \/ 1,000)<\/p>\n<p>Question 3.<br \/>\nCompare the values of the 5s in the number 2.557.<br \/>\nAnswer: at first 5s place value is at tenths and next its place value is at hundredths .<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Write the value of the underlined digit.<\/strong><br \/>\nQuestion 4.<br \/>\n0.<span style=\"text-decoration: underline;\">4<\/span>18<br \/>\nAnswer:<\/p>\n<p>4 is at tenths value place<\/p>\n<p>Question 5.<br \/>\n5.2<span style=\"text-decoration: underline;\">9<\/span>6<br \/>\nAnswer:<\/p>\n<p>9 is at hundredths value place<\/p>\n<p>Question 6.<br \/>\n<span style=\"text-decoration: underline;\">3<\/span>.806<br \/>\nAnswer:<\/p>\n<p>8 is at tenths value place<\/p>\n<p>6 is at\u00a0 thousandths value place<\/p>\n<p>Question 7.<br \/>\n0.54<span style=\"text-decoration: underline;\">7<\/span><br \/>\nAnswer:<\/p>\n<p>7 is at thousandths value place<\/p>\n<p><strong>Write the number in two other forms.<\/strong><br \/>\nQuestion 8.<br \/>\nStandard form:<br \/>\nWord form:<br \/>\nExpanded form: 4 \u00d7 1 + 9 \u00d7 \\(\\frac{1}{10}\\) + 8 \u00d7 \\(\\frac{1}{1,000}\\)<br \/>\nAnswer:<\/p>\n<p>Standard form: 4.908<br \/>\nWord form:&#8221; Four and nine hundredth &#8211; eight thousandths&#8221;<\/p>\n<p>Question 9.<br \/>\nStandard form: 0.125<br \/>\nWord form:<br \/>\nExpanded form:<br \/>\nAnswer:<\/p>\n<p>Word form: &#8220;one hundred twenty &#8211; five thousandths&#8221;<br \/>\nExpanded form: 1 x (1\/10) + 2 x (1 \/100) +5 x (1 \/ 1,000)<\/p>\n<p>Question 10.<br \/>\nCompare the values of the 4s in the number 0.844.<br \/>\nAnswer:<\/p>\n<p>at first 4s place value is at hundredths and next 4s place value is at thousandths<\/p>\n<p>Question 11.<br \/>\nCompare the values of the 3s in the number 3.367.<br \/>\nAnswer: at first 3s place value is at ones place and next 3s place value is at tenths place<\/p>\n<p>Question 12.<br \/>\nA pygmy jerboa weighs one hundred thirty-two thousandths pound. Write this number in standard form.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14779\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-3.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.5 3\" width=\"172\" height=\"170\" \/><br \/>\nAnswer:<\/p>\n<p>The Standard Form of pygmy jerboa&#8217;s -one hundred thirty-two thousandths pound weighs is\u00a0 0.132 pound<\/p>\n<p>Question 13.<br \/>\n<strong>Reasoning<\/strong><br \/>\nIs 9.540 equivalent to 9.54? Explain.<br \/>\nAnswer:<\/p>\n<p>Yes. 9.540 is equivalent to 9.54 because at thousandths value its 0, so zero multiplied by any number is zero.<\/p>\n<p>Therefore both are equivalent.<\/p>\n<p>Question 14.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nWrite three decimals that are equivalent to 6 \u00d7 1 + 4 \u00d7 \\(\\frac{1}{10}\\) .<br \/>\nAnswer:<\/p>\n<p>the three equivalent decimals are of 6 .04 are 6.040, 6.0400, 6.04000<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nHow do the values of the 3s in the masses of the fruits compare?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14780\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-4.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.5 4\" width=\"187\" height=\"119\" \/><br \/>\nUse a place value chart to help you find the value of each 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14781\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-5.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.5 5\" width=\"498\" height=\"186\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-5.png 498w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-5-300x112.png 300w\" sizes=\"(max-width: 498px) 100vw, 498px\" \/><br \/>\nThe value of the 3 in the mass of the tomato is _one_____ .<br \/>\nThe value of the 3 in the mass of the chili pepper is __tenths___.<br \/>\nSo, the value of the 3 in the mass of the tomato is __10_____ times the value of the 3 in the mass of the chili pepper. Also, the value of the 3 in the mass of the chili pepper is ___1\/10__ the value of the 3 in the mass of the tomato.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 15.<br \/>\nTwo baseball players have batting averages of 0.358 and 0.345. How do the values of the 5s in the batting averages compare?<br \/>\nAnswer:<\/p>\n<p>In 0.358 the place value of 5s is at tenths place and in<\/p>\n<p>0.345 the place value of 5s\u00a0 is at thousandths place.<\/p>\n<p>Question 16.<br \/>\nThe stopwatch shows a runner\u2019sritethe100-meter dash time. Write the time in words.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14782\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-6.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.5 6\" width=\"115\" height=\"118\" \/><br \/>\nAnswer:<\/p>\n<p>15.76 seconds time in words\u00a0 is Fifteen and seven tenths and six hundredths<\/p>\n<p>Question 17.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou exchange 1 U.S. dollar for Australian dollars and 1 U.S. dollar for Kuwaiti dinars. Do you have 10 times as many Australian dollars as Kuwaiti dinars? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14783\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-7.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.5 7\" width=\"272\" height=\"100\" \/><br \/>\nAnswer:<\/p>\n<p>Yes, Because 1 Australian dollars = 1.302 of 0.302 of Kuwaiti dinars,<\/p>\n<p>if we multiply 0.302 by 10 it becomes 1.302 which is equal to 1 Australian dollars.<\/p>\n<p>[0.302 x 10 = 1.302]<\/p>\n<p>so 1 Australian dollars is 10 times more than the 1\u00a0 Kuwaiti dinars.<\/p>\n<h3><a id=\"Place_Value_with_Decimals_Homework_&amp;_Practice_1.5\"><\/a>Place Value with Decimals Homework &amp; Practice 1.5<\/h3>\n<p><strong>Write the value of the underlined digit.<\/strong><br \/>\nQuestion 1.<br \/>\n<span style=\"text-decoration: underline;\">5<\/span>.437<br \/>\nAnswer:<\/p>\n<p>5 at ones place<\/p>\n<p>4 at tenths place<\/p>\n<p>3 at hundredths place<\/p>\n<p>7 at thousandths place<\/p>\n<p>Question 2.<br \/>\n0.85<span style=\"text-decoration: underline;\">2<\/span><br \/>\nAnswer:<\/p>\n<p>the underlined digit is 2 at thousandths place,<\/p>\n<p>its value is 2 x 1\/1000= 2\/1000<\/p>\n<p>Question 3.<br \/>\n0.9<span style=\"text-decoration: underline;\">6<\/span>2<br \/>\nAnswer:<\/p>\n<p>the underlined digit is 6 at hundredths place<\/p>\n<p>its value is 6 x 1\/100= 6 \/100<\/p>\n<p>Question 4.<br \/>\n4.<span style=\"text-decoration: underline;\">1<\/span>65<\/p>\n<p>the underlined digit is 1 at tenths place<\/p>\n<p>its value is 1x 1\/10 = 1\/10<br \/>\nAnswer:<\/p>\n<p><strong>Write the number in two other forms.<\/strong><br \/>\nQuestion 5.<br \/>\nStandard form: 9.267<br \/>\nWord form:<br \/>\nExpanded form:<br \/>\nAnswer:<\/p>\n<p>Word form:\u00a0 nine and two tenths six hundredths seven thousandths.<\/p>\n<p>Expanded form : 9+ 2 x 1\/10 + 6 x 1\/100 + 7 x 1\/1000<\/p>\n<p>Question 6.<br \/>\nStandard form:<br \/>\nWord form: two and forty-three thousandths<br \/>\nExpanded form:<br \/>\nAnswer:<\/p>\n<p>Standard form : 0.243<\/p>\n<p>Expanded form: 2 x 1\/10+4 x 1\/100+3 x 1\/1000<\/p>\n<p>Question 7.<br \/>\nCompare the values of the 6s in the number 1.668.<br \/>\nAnswer:<\/p>\n<p>first 6s at tenths place and next 6s at hundredths place<\/p>\n<p>Question 8.<br \/>\nCompare the values of the 7s in the number 7.704.<br \/>\nAnswer:<\/p>\n<p>first 7s at ones place and next 7s at tenths place<\/p>\n<p>Question 9.<br \/>\nA pygmy possum weighs 0.097 pound. Write this number in word form.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14784\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-8.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.5 8\" width=\"152\" height=\"139\" \/><br \/>\nAnswer:<\/p>\n<p>pygmy weighs 0.097 pound and its<\/p>\n<p>word form is\u00a0 nine hundredths and seven thousandths<\/p>\n<p>Questio 10.<br \/>\n<strong>Which One Doesn\u2019t Belong?<\/strong><br \/>\nWhich one does not belong with the other three?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14785\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-9.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.5 9\" width=\"641\" height=\"127\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-9.png 641w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-9-300x59.png 300w\" sizes=\"(max-width: 641px) 100vw, 641px\" \/><br \/>\nAnswer:<\/p>\n<p>no number belongs to other three because 5 is at tenths place<\/p>\n<p>one at hundredths place and 4 at thousandths all are at different places.<\/p>\n<p>Question 11.<br \/>\n<strong>Reasoning<\/strong><br \/>\nWhich number cards are equal to the value of the underlined digit?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14786\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-10.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.5 10\" width=\"594\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-10.png 594w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-10-300x72.png 300w\" sizes=\"(max-width: 594px) 100vw, 594px\" \/><br \/>\nAnswer:<\/p>\n<p>2 x 1\/1,000 , two thousandths and 0.002 are equal to the value of the underlined digit.<\/p>\n<p>Question 12.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nHow do the values of the 5s in the heights of the plants compare?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14787\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-11.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.5 11\" width=\"208\" height=\"126\" \/><br \/>\nAnswer:<\/p>\n<p>In Peace lily the 5s place is at\u00a0 thousandths<\/p>\n<p>and in Venus flytrap the 5s place is at hundredths<\/p>\n<p>Question 13.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nThe world\u2019s largest gold nugget is located in Las Vegas, Nevada. It has a mass of about 27.247 kilograms. Write how to say the nugget\u2019s mass in words.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14788\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-12.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.5 12\" width=\"167\" height=\"112\" \/><br \/>\nAnswer:<\/p>\n<p>the mass of gold nugget in Las Vegas is 27.247 kilograms given<\/p>\n<p>In Words form it is twenty seven and two tenths\u00a0 four hundredths and\u00a0 seven thousandths<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Compare.<\/strong><br \/>\nQuestion 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14789\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-13.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.5 13\" width=\"86\" height=\"54\" \/><br \/>\nAnswer:<\/p>\n<p>8\/10 =0.8<\/p>\n<p>80\/100=0.8<\/p>\n<p>both are equal 8\/10 = 80\/100<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14790\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-14.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.5 14\" width=\"78\" height=\"54\" \/><br \/>\nAnswer:<\/p>\n<p>5\/8 = 0.625<\/p>\n<p>3\/6= 0.5<\/p>\n<p>0.625 &gt; 0.5,<\/p>\n<p>5\/8 &gt; 3\/ 6, 5\/8 is greater than 3\/6<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14791\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-5-Chapter-1-Place-Value-Concepts-1.5-15.png\" alt=\"Big Ideas Math Answer Key Grade 5 Chapter 1 Place Value Concepts 1.5 15\" width=\"87\" height=\"55\" \/><\/p>\n<p>Answer:<\/p>\n<p>7\/2= 3.5<\/p>\n<p>10\/8=1.25<\/p>\n<p>so 7\/2 is greater than 10\/8.<\/p>\n<p>7\/2 &gt; 10\/8<\/p>\n<h3><a id=\"Lesson_1.6_Compare_Decimals\"><\/a>Lesson 1.6 Compare Decimals<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Use models to compare the decimals.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14792\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-1.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 1\" width=\"467\" height=\"267\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-1.png 467w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-1-300x172.png 300w\" sizes=\"(max-width: 467px) 100vw, 467px\" \/><br \/>\nAnswer:<\/p>\n<p>0.62 &gt;0.26, 0.62 is greater than 0.26, 0.6\u00a0 is greater than o.2<\/p>\n<p>0.80= 0.8, 0.80 both are\u00a0 equal<\/p>\n<p>3.5 &lt; 3.55, 3.55 is greater than 3.50<\/p>\n<p><strong>Reasoning<\/strong><br \/>\nHow can you use a place value chart to compare two decimals? Use a place value chart to check your answers above.<br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-16611 size-full\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/two-decimal-place-value.bmp\" alt=\"\" width=\"258\" height=\"109\" \/><\/p>\n<p>we use another table to compare with the previous and write the answer.<\/p>\n<p><strong>Think and Grow: Compare Decimals<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nCompare 3.769 and 3.749.<br \/>\nUse a place value chart. Start at the left. Compare the digits in each place until the digits differ.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14793\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-2.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 2\" width=\"353\" height=\"94\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-2.png 353w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-2-300x80.png 300w\" sizes=\"(max-width: 353px) 100vw, 353px\" \/><br \/>\nThe digits in the ones place and the tenths place are the same. Compare the hundredths.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14794\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-3.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 3\" width=\"394\" height=\"247\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-3.png 394w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-3-300x188.png 300w\" sizes=\"(max-width: 394px) 100vw, 394px\" \/><\/p>\n<p><strong>Example<\/strong><br \/>\nCompare 2.4 and 2.405.<br \/>\nUse place value. Line up the decimal points. Start at the left. Compare the digits in each place until the digits differ.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14795\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-4.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 4\" width=\"639\" height=\"262\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-4.png 639w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-4-300x123.png 300w\" sizes=\"(max-width: 639px) 100vw, 639px\" \/><\/p>\n<p>2.4&lt;2.405<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Compare<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14796\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-5.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 5\" width=\"329\" height=\"153\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-5.png 329w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-5-300x140.png 300w\" sizes=\"(max-width: 329px) 100vw, 329px\" \/><br \/>\nAnswer:<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"49\">Ones<\/td>\n<td width=\"36\">.<\/td>\n<td width=\"55\">Tenths<\/td>\n<td width=\"85\">Hundredths<\/td>\n<td width=\"94\">Thousandths<\/td>\n<\/tr>\n<tr>\n<td width=\"49\">9<\/td>\n<td width=\"36\">.<\/td>\n<td width=\"55\">0<\/td>\n<td width=\"85\">6<\/td>\n<td width=\"94\">3<\/td>\n<\/tr>\n<tr>\n<td width=\"49\">9<\/td>\n<td width=\"36\">.<\/td>\n<td width=\"55\">0<\/td>\n<td width=\"85\">6<\/td>\n<td width=\"94\"><u>7<\/u><\/td>\n<\/tr>\n<tr>\n<td width=\"49\">Same<\/td>\n<td width=\"36\">.<\/td>\n<td width=\"55\">Same<\/td>\n<td width=\"85\">Same<\/td>\n<td width=\"94\">Greater<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>So 9.063 &lt; 9.067<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14797\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-6.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 6\" width=\"116\" height=\"49\" \/><br \/>\nAnswer:<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"49\">Ones<\/td>\n<td width=\"36\">.<\/td>\n<td width=\"55\">Tenths<\/td>\n<td width=\"85\">Hundredths<\/td>\n<td width=\"94\">Thousandths<\/td>\n<\/tr>\n<tr>\n<td width=\"49\">0<\/td>\n<td width=\"36\">.<\/td>\n<td width=\"55\">8<\/td>\n<td width=\"85\"><u>9<\/u><\/td>\n<td width=\"94\">0<\/td>\n<\/tr>\n<tr>\n<td width=\"49\">0<\/td>\n<td width=\"36\">.<\/td>\n<td width=\"55\">8<\/td>\n<td width=\"85\">0<\/td>\n<td width=\"94\"><strong><u>9<\/u><\/strong><\/td>\n<\/tr>\n<tr>\n<td width=\"49\">Same<\/td>\n<td width=\"36\">.<\/td>\n<td width=\"55\">Same<\/td>\n<td width=\"85\">Greater<\/td>\n<td width=\"94\">Greater<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>So 0.89 &gt; 0.809,<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><br \/>\n<strong>Compare.<\/strong><br \/>\nQuestion 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14798\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-7.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 7\" width=\"146\" height=\"48\" \/><br \/>\nAnswer:<\/p>\n<table>\n<tbody>\n<tr>\n<td width=\"49\">Ones<\/td>\n<td width=\"36\">.<\/td>\n<td width=\"55\">Tenths<\/td>\n<td width=\"85\">Hundredths<\/td>\n<td width=\"94\">Thousandths<\/td>\n<\/tr>\n<tr>\n<td width=\"49\">8<\/td>\n<td width=\"36\">.<\/td>\n<td width=\"55\">5<\/td>\n<td width=\"85\">3<\/td>\n<td width=\"94\"><strong><em>7<\/em><\/strong><\/td>\n<\/tr>\n<tr>\n<td width=\"49\">8<\/td>\n<td width=\"36\">.<\/td>\n<td width=\"55\">5<\/td>\n<td width=\"85\"><em>4<\/em><\/td>\n<td width=\"94\">1<\/td>\n<\/tr>\n<tr>\n<td width=\"49\">Same<\/td>\n<td width=\"36\">.<\/td>\n<td width=\"55\">Same<\/td>\n<td width=\"85\">Greater<\/td>\n<td width=\"94\">Greater<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>8.537 &lt; 8.541<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14799\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-8.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 8\" width=\"126\" height=\"37\" \/><br \/>\nAnswer:<\/p>\n<p>6.401 &lt; 6.409, since\u00a0 0.009 is greater than 0.001<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14800\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-9.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 9\" width=\"134\" height=\"43\" \/><br \/>\nAnswer:<\/p>\n<p>7.409 &gt; 7.049 since 7.4 is greater than 7.0<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14801\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-10.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 10\" width=\"123\" height=\"49\" \/><br \/>\nAnswer:<\/p>\n<p>0.25 = 0.250<\/p>\n<p>Both are equal<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14802\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-11.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 11\" width=\"125\" height=\"45\" \/><br \/>\nAnswer:<\/p>\n<p>2.701 &gt;2.700, since 0.001 is greater than 0.000<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14803\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-12.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 12\" width=\"129\" height=\"48\" \/><br \/>\nAnswer:<\/p>\n<p>4.006 &lt; 4.61, since 4.6 is greater than 4.0<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14804\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-13.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 13\" width=\"273\" height=\"44\" \/><br \/>\nAnswer:<\/p>\n<p>0.041 &lt; 41.6, 41 is greater than 0<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14805\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-14.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 14\" width=\"211\" height=\"48\" \/><br \/>\nAnswer:<\/p>\n<p>0.007 &lt; 0.7 as 0.7 is greater than 0.007<\/p>\n<p><strong>Order the decimals from least to greatest.<\/strong><br \/>\nQuestion 11.<br \/>\n321.499, 325.499, 321.489<br \/>\nAnswer:<\/p>\n<p>321.499, 325.499, 321.489 from least to greatest<\/p>\n<p>as 321.489 is smaller than 321.499 and 321.499 is smaller than 325.499<\/p>\n<p>so 321.489 , 321.499 , 325.499<\/p>\n<p>Question 12.<br \/>\n9.7, 9.64, 9.78<br \/>\nAnswer:<\/p>\n<p>9.7, 9.64, 9.78 from least to greatest<\/p>\n<p>9.64 is smaller than 9.7 and\u00a0 9.7 is smaller than 9.78<\/p>\n<p>so 9.64, 9.7 , 9.78<\/p>\n<p><strong>Open-Ended<\/strong><br \/>\n<strong>Complete the number to make the statement true.<\/strong><br \/>\nQuestion 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14806\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-15.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 15\" width=\"144\" height=\"47\" \/><br \/>\nAnswer:<\/p>\n<p>10.321 &gt; 10.311<\/p>\n<p>as 10.311 is smaller than 10.321<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14807\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-16.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 16\" width=\"143\" height=\"44\" \/><br \/>\nAnswer:<\/p>\n<p>28.60 = 28.600<\/p>\n<p>Both are equal<\/p>\n<p>Question 15.<br \/>\n<strong>Number Sense<\/strong><br \/>\nIs 0.472 greater than or less than \\(\\frac{47}{1,000}\\)? Explain.<br \/>\nAnswer:<\/p>\n<p>0.472, 0.047<\/p>\n<p>0.475 is greater than 0.047,<\/p>\n<p>as 4 in the tenths\u00a0 place is greater than 0 in the others tenth place<\/p>\n<p>Question 16.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says that 45.6 is less than 45.57 because 6 is less than 57. Is your friend correct? Explain.<br \/>\nAnswer:<\/p>\n<p>Friend says 45.6 is less than 45.57<\/p>\n<p>No ,he is wrong as the 6th in tenths place is greater than 5, in the tenths place<\/p>\n<p>so he is wrong\u00a0 45.60 &gt; 45.57 not less<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nYou, your friend, and your cousin compete at a gymnastics competition. Your floor routine score is 15.633. Your friend\u2019s score is 15.533, and your cousin\u2019s score is 15.635. Order the scores from least to greatest.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14808\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-17.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 17\" width=\"122\" height=\"155\" \/><br \/>\nUse a place value chart. Compare the digits in each place until the digits differ.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14809\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-18.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 18\" width=\"404\" height=\"121\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-18.png 404w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-18-300x90.png 300w\" sizes=\"(max-width: 404px) 100vw, 404px\" \/><br \/>\n_15.533______ is the least<br \/>\nWrite the remaining numbers in the place value chart. Compare the digits in each place until the digits differ.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14810\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-19.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 19\" width=\"419\" height=\"118\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-19.png 419w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-19-300x84.png 300w\" sizes=\"(max-width: 419px) 100vw, 419px\" \/><\/p>\n<p>15.633 ,15.635<\/p>\n<p>as 15.533 is less than 15.633 as\u00a0 5 at tenths place is less than 6 at tenths place<\/p>\n<p>and 15.633 is less than 15.653 as 3 at hundredths place is less than 5 at hundredths place<\/p>\n<p>So, the scores from least to greatest are 15.533, 15.633 and 15.635<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p>Question 17.<br \/>\nYou stand on one leg for 2.75 minutes, your friend stands on one leg for 2 minutes, and your cousin stands on one leg for 2.25 minutes. Order the amounts of time from least to greatest.<br \/>\nAnswer:<\/p>\n<p>You &#8211; 2.75 min , Friend &#8211; 2.00 min and cousin for 2.25 min<\/p>\n<p>2.00&lt; 2.25 ,2.00 is less than 2.25 as 0 at tenths place is less than 2 at tenths place<\/p>\n<p>2.25 &lt; 2.75, 2.25 is less than 2.75 as 2 at tenths place is less than 7 at tenths place<\/p>\n<p>so From Least to Greatest : 2.00 min, 2.25 min, 2.75 min<\/p>\n<p>Question 18.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou, Newton, Descartes, and your friend each have a tablet. The table shows the screen display sizes. Your friend\u2019s tablet has the greatest display size. Your tablet\u2019s display size is greater than Newton\u2019s but less than Descartes\u2019s. What is the display size of your tablet.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14811\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-20.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 20\" width=\"193\" height=\"171\" \/><br \/>\nAnswer:<\/p>\n<p>Y-Your, N-Newton&#8217;s ,F-Friend- 12.9, D-Descartes<\/p>\n<p>Given Friend has greatest display size F= 12.9<\/p>\n<p>Y &#8211; N ,given Your tablet\u2019s display size is greater than Newton\u2019s, N&lt; Y and yours is less than Descartes\u2019s Y &lt; D<\/p>\n<p>therefore\u00a0 N &lt; Y &lt;D &lt; F, Newton&#8217;s&lt; Yours&lt;Descartes&#8217;s&lt;Friend<\/p>\n<p>so N-Newton&#8217;s- 7.9, Y-Your-9.7,D-Descartes-10.5,F-Friend-12.9<\/p>\n<h3><a id=\"Compare_Decimals_Homework_&amp;_Practice_1.6\"><\/a>Compare Decimals Homework &amp; Practice 1.6<\/h3>\n<p><strong>Write which place to use when comparing the numbers.<\/strong><br \/>\nQuestion 1.<br \/>\n0.521<br \/>\n0.576<br \/>\nAnswer:<\/p>\n<p>2 at hundredths place\u00a0 is smaller than 7 at hundredths place<\/p>\n<p>so 0.521 &lt; 0.576<\/p>\n<p>Question 2.<br \/>\n17.422<br \/>\n17.946<br \/>\nAnswer:<\/p>\n<p>4 at tenths place\u00a0 is small than 9 at tenths place<\/p>\n<p>so 17.422 &lt; 17.946<\/p>\n<p>Question 3.<br \/>\n9.678<br \/>\n9.67<br \/>\nAnswer:<\/p>\n<p>8 at thousandths place is greater than 0 at thousandths place<\/p>\n<p>9.678 &gt; 9.670<\/p>\n<p><strong>Compare.<\/strong><br \/>\nQuestion 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14812\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-21.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 21\" width=\"323\" height=\"149\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-21.png 323w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-21-300x138.png 300w\" sizes=\"(max-width: 323px) 100vw, 323px\" \/><br \/>\nAnswer:<\/p>\n<p>4 at hundredths\u00a0 place is smaller than 7 at hundredths place<\/p>\n<p>so 3.445 is smaller than 3.472<\/p>\n<p>3.445 &lt; 3.472<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14813\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-22.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 22\" width=\"147\" height=\"45\" \/><\/p>\n<p>Answer:<\/p>\n<p>0 at tenths place is smaller than 4 at tenths place<\/p>\n<p>so 23.049 &lt; 23.409<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14814\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-23.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 23\" width=\"141\" height=\"45\" \/><br \/>\nAnswer:<\/p>\n<p>4 at tenths place is greater than 3 at tenths place<\/p>\n<p>75.4 &gt; 75.391<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14815\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-24.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 24\" width=\"141\" height=\"45\" \/><br \/>\nAnswer:<\/p>\n<p>All\u00a0 given place values are same<\/p>\n<p>so 14.100 or 14.10 = 14.100<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14816\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-25.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 25\" width=\"129\" height=\"40\" \/><br \/>\nAnswer:<\/p>\n<p>the value of 5s at hundredths place is more than 0 in other hundredths place<\/p>\n<p>4.05&gt; 4.005<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14817\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-26.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 26\" width=\"288\" height=\"39\" \/><br \/>\nAnswer:<\/p>\n<p>15.2, 15.002<\/p>\n<p>2 at tenths place is greater than 0 at tenths place<\/p>\n<p>15.2 &gt; 15.002<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14818\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-27.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 27\" width=\"259\" height=\"52\" \/><br \/>\nAnswer:<\/p>\n<p>0.021, 0.026<\/p>\n<p>1 at thousandths is smaller than 6 at thousandths place<\/p>\n<p>0.021 &lt; 0.026<\/p>\n<p>Order the decimals from least to greatest.<br \/>\nQuestion 11.<br \/>\n2.75, 0.2, 0.275<br \/>\nAnswer:<\/p>\n<p>0.2 &lt; 0.275 as 0 at hundredths place is less than 7 at hundredths place<\/p>\n<p>0.275&lt;2.75 as 0 at ones place is less than 2 at at ones place<\/p>\n<p>so from least to greatest 0.2, 0.275, 2.75<\/p>\n<p>Question 12.<br \/>\n56.01, 56.1, 56.001<br \/>\nAnswer:<\/p>\n<p>56.001 &lt; 56.01 as 0 at hundredths place is less than 1 at hundredths place<\/p>\n<p>56.01 &lt; 56.1 as o at tenths place is less than 1 at tenths place<\/p>\n<p>56.001 , 56.01, 56.1<\/p>\n<p><strong>Open-Ended<\/strong><br \/>\n<strong>Complete the number to make the statement true.<\/strong><br \/>\nQuestion 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14819\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-28.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 28\" width=\"152\" height=\"50\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-28.png 152w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-28-150x50.png 150w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><br \/>\nAnswer:<\/p>\n<p>29.030 = 29.030<\/p>\n<p>both the place values are same<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14820\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-29.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 29\" width=\"143\" height=\"51\" \/><br \/>\nAnswer:<\/p>\n<p>3.562 &lt;3.562<\/p>\n<p>as the value of\u00a0 6 is at hundredths place so the other value at hundredths place is 6.<\/p>\n<p>Question 15.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nNewton says 8.51 is less than 8.492 because 8.51 has fewer digits after the decimal point than 8.492. Is he correct? Explain.<br \/>\nAnswer:<\/p>\n<p>No, he is not correct its not the digits after the decimal point is fewer<\/p>\n<p>but the 5s at tenths place is greater than 4 at the tenths place so<\/p>\n<p>8.51 is greater than 8.492, 8.51 &gt; 8.492<\/p>\n<p>Question 16.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nDescartes is thinking of a number less than 46.922 and greater than 46.915. What could Descartes\u2019s number be?<br \/>\nAnswer:<\/p>\n<p>The numbers can be 46.916,\u00a0 4 6.917, 46.918, 46.919, 46.920 or 46.921 and<\/p>\n<p>all these numbers are less than 46.922 and greater than 46.915.<\/p>\n<p>Question 17.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nPlayer A\u2019s batting average is 0.300, Player B\u2019s batting average is 0.333, and Player C\u2019s batting average is 0.313. Order the batting averages from greatest to least.<br \/>\nAnswer:<\/p>\n<p>B- 0.333, C-0.313 , A &#8211; 0.300<\/p>\n<p>0.333 is great than 0.313 as 3 at hundredths place is great than 1 at hundredths place<\/p>\n<p>so 0.333&gt;0.313<\/p>\n<p>0.313 is greater than 0.300 as 1 at hundredths place is great than 0 at hundredths place<\/p>\n<p>0.313 &gt; 0.300<\/p>\n<p>the batting averages from greatest to least are B&gt; C&gt; A=0.333 &gt; 0.313 &gt;0.300<\/p>\n<p>batting averages from greatest to least 0.333,0.313,0.300<\/p>\n<p>Question 18.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nA gasoline station customer pumps more than 9.487 gallons of gasoline but less than 10 gallons. Which display could be his?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14821\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-30.png\" alt=\"Big Ideas Math Answers 5th Grade Chapter 1 Place Value Concepts 1.6 30\" width=\"572\" height=\"78\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-30.png 572w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-5th-Grade-Chapter-1-Place-Value-Concepts-1.6-30-300x41.png 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><br \/>\nAnswer:<\/p>\n<p>Given A gasoline station customer pumps more than 9.487 gallons but less than 10 gallons<\/p>\n<p>as 9.003 is less than 9.487 so not 9.003<\/p>\n<p>as 9.499 is greater than 9.487\u00a0 and even less than 10.000 so it is 9.499<\/p>\n<p>as 9.406 is less than 9.487 so it cannot be 9.406<\/p>\n<p>as 9.872 is greater than 9.487\u00a0 and even less than 10.000 so it can be 9.872<\/p>\n<p>so the displays can be\u00a0 9.499 or 9.82<\/p>\n<p>as both are more than 9.487 gallons and less than 10 gallons<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Round the number to the place of the underlined digit.<\/strong><br \/>\nQuestion 19.<br \/>\n7,8<span style=\"text-decoration: underline;\">5<\/span>1<br \/>\nAnswer:<\/p>\n<p>the round place of 5 is 7,850<\/p>\n<p>Question 20.<br \/>\n<span style=\"text-decoration: underline;\">9<\/span>,462<br \/>\nAnswer:<\/p>\n<p>the round place of 9 means 10,000 or 9,500<\/p>\n<p>Question 21.<br \/>\n4,<span style=\"text-decoration: underline;\">9<\/span>83<br \/>\nAnswer:<\/p>\n<p>the round place of 9 &#8211; 5,000<\/p>\n<p>Question 22.<br \/>\n5<span style=\"text-decoration: underline;\">1<\/span>,504<br \/>\nAnswer:<\/p>\n<p>the round place of 1- 52,504<\/p>\n<h3><a id=\"Lesson_1.7_Round_Decimals\"><\/a>Lesson 1.7 Round Decimals<\/h3>\n<p><strong>Explore and Grow<\/strong><\/p>\n<p>Plot the numbers on the number line. Which numbers round to 3? Which numbers round to4? How do you know?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14822\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-1.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.7 1\" width=\"534\" height=\"123\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-1.png 534w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-1-300x69.png 300w\" sizes=\"(max-width: 534px) 100vw, 534px\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-16730 size-full\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/graph.bmp\" alt=\"\" width=\"534\" height=\"123\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/graph.bmp 534w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/graph-300x69.jpg 300w\" sizes=\"(max-width: 534px) 100vw, 534px\" \/><\/p>\n<p>3,\u00a0 3.09, 3.5, 3.51, 3.6, 3.77, 3.9 , 4<\/p>\n<p>The numbers round to 3 are 3.09<\/p>\n<p>The numbers round to 4 are 3.51, 3.6, 3.77 , 3.9<\/p>\n<p><strong>Repeated Reasoning<\/strong><br \/>\nShow how you can use a number line to round 3.09, 3.51, and 3.77 to the nearest tenth.<br \/>\nAnswer:<\/p>\n<p>3.09 to the nearest tenth is 3.10<\/p>\n<p>3.51 to the nearest tenth is 3.50<\/p>\n<p>3.77 to the nearest tenth is 3.80<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-16733 size-full\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Graph-1.bmp\" alt=\"\" width=\"534\" height=\"123\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Graph-1.bmp 534w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Graph-1-300x69.jpg 300w\" sizes=\"(max-width: 534px) 100vw, 534px\" \/><\/p>\n<p><strong>Think and Grow: Round Decimal Number<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nUse a number line to round 7.36 to the nearest tenth.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14823\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-2.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.7 2\" width=\"490\" height=\"102\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-2.png 490w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-2-300x62.png 300w\" sizes=\"(max-width: 490px) 100vw, 490px\" \/><br \/>\n7.36 is closer to 7.4 than it is to 7.3.<br \/>\nSo, 7.36 rounded to the nearest tenth is __7.40____.<\/p>\n<p><strong>Example<\/strong><br \/>\nUse place value to round 2.185 to the nearest whole number and to the nearest hundredth.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14824\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-3.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.7 3\" width=\"644\" height=\"250\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-3.png 644w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-3-300x116.png 300w\" sizes=\"(max-width: 644px) 100vw, 644px\" \/><br \/>\nSo, 2.185 rounded to the nearest whole number is __2.2_____.<br \/>\n2.185 rounded to the nearest hundredth is ___2.200___.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Round the number to the place of the underlined digit.<\/strong><br \/>\nQuestion 1.<br \/>\n12.<span style=\"text-decoration: underline;\">6<\/span>7<br \/>\nAnswer:<\/p>\n<p>the round place of\u00a0 digit 6 is 12.70<\/p>\n<p>Question 2.<br \/>\n0.4<span style=\"text-decoration: underline;\">3<\/span>9<br \/>\nAnswer:<\/p>\n<p>the round place of\u00a0 digit 4 is 0.5<\/p>\n<p>the round place of\u00a0 digit 3 is 0.44<\/p>\n<p>the round place of digit\u00a0 9 is 0.440<\/p>\n<p>Question 3.<br \/>\n<span style=\"text-decoration: underline;\">2<\/span>.555<br \/>\nAnswer:<\/p>\n<p>the round place of\u00a0 digit 2 is 3.000<\/p>\n<p>Question 4.<br \/>\n5.<span style=\"text-decoration: underline;\">4<\/span>09<\/p>\n<p>the round place of digit 4 is 5.400<\/p>\n<p>Question 5.<br \/>\nRound 0.68 to the nearest tenth.<br \/>\nAnswer:<\/p>\n<p>0.68 to the nearest tenth\u00a0 is 0.70, 6 at tenths place becomes 7<\/p>\n<p>Question 6.<br \/>\nRound 1.715 to the nearest hundredth.<br \/>\nAnswer:<\/p>\n<p>1.715 to the nearest hundredth is\u00a0 1.720, 1 at hundredths place becomes 2<\/p>\n<p>Question 7.<br \/>\nRound 4.07 to the nearest whole number.<br \/>\nAnswer:<\/p>\n<p>4.07 to the nearest whole number becomes\u00a0 4.00 or 4<\/p>\n<p>Question 8.<br \/>\nRound 0.289 to the nearest tenth.<br \/>\nAnswer:<\/p>\n<p>0.289 to the nearest tenth is 0.300 as 2 becomes 3 at tenths place.<\/p>\n<p><strong>Apply and Grow: Practice<\/strong><\/p>\n<p><strong>Round the number to the place of the underlined digit.<\/strong><br \/>\nQuestion 9.<br \/>\n1.4<span style=\"text-decoration: underline;\">8<\/span>2<br \/>\nAnswer:<\/p>\n<p>the underlined digit is 8 ,so its value becomes 1.490<\/p>\n<p>Question 10.<br \/>\n5.<span style=\"text-decoration: underline;\">0<\/span>93<br \/>\nAnswer:<\/p>\n<p>the underlined digit is 0 so its value\u00a0 becomes 5.100<\/p>\n<p>Question 11.<br \/>\n<span style=\"text-decoration: underline;\">8<\/span>.502<br \/>\nAnswer:<\/p>\n<p>the underlined digit is 8 so its value becomes 9.000<\/p>\n<p>Question 12.<br \/>\n<span style=\"text-decoration: underline;\">3<\/span>4.748<br \/>\nAnswer:<\/p>\n<p>if it is underlined at 3 it becomes 35.000<\/p>\n<p>if it is underlined at 4 it becomes 35.000<\/p>\n<p>if it is underlined at 7 it becomes 35.000<\/p>\n<p>if it is underlined at 4 it becomes 34.800<\/p>\n<p>if it is underlined at 8 it becomes 34.750<\/p>\n<p>Question 13.<br \/>\nRound 2.619 to the nearest whole number.<br \/>\nAnswer:<\/p>\n<p>the value of 2.619 becomes 3.000<\/p>\n<p>Question 14.<br \/>\nRound 7.825 to the nearest tenth.<br \/>\nAnswer:<\/p>\n<p>the value of 7.825 to the nearest tenth is 7.900<\/p>\n<p>Question 15.<br \/>\nRound 92.701 to the nearest ten.<br \/>\nAnswer:<\/p>\n<p>the value of 92.701 to the nearest ten 93.000<\/p>\n<p>Question 16.<br \/>\nRound 4.263 to the nearest hundredth.<br \/>\nAnswer:<\/p>\n<p>the value of 4.263 to the nearest hundredth is 4.270<\/p>\n<p>Question 17.<br \/>\nRound 0.829.<br \/>\nNearest whole number:<br \/>\nNearest tenth:<br \/>\nNearest hundredth:<br \/>\nAnswer:<\/p>\n<p>Round 0.829<br \/>\nNearest whole number:0.900<br \/>\nNearest tenth:0.830<br \/>\nNearest hundredth:0.830<\/p>\n<p>Question 18.<br \/>\nRound 18.062.<br \/>\nNearest whole number:18.100<br \/>\nNearest tenth:18.070<br \/>\nNearest hundredth:18.063<br \/>\nAnswer:<\/p>\n<p>Question 19.<br \/>\nA baby harp seal weighs 25.482 pounds. Round this weight to the nearest tenth of a pound.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14825\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-4.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.7 4\" width=\"209\" height=\"125\" \/><br \/>\nAnswer:<\/p>\n<p>Given a baby harp seal weighs 25.482 pounds and the nearest tenth is 25.000 pounds<\/p>\n<p>So the weight of baby harp seal is 25.000 pounds.<\/p>\n<p><strong>Name the place value to which the number was rounded.<\/strong><br \/>\nQuestion 20.<br \/>\n8.942 to 8.94<br \/>\nAnswer:<\/p>\n<p>It was rounded at hundredths value place<\/p>\n<p>Question 21.<br \/>\n0.164 to 0.2<br \/>\nAnswer:<\/p>\n<p>It was rounded at tenths value place<\/p>\n<p>Question 22.<br \/>\n15.826 to 16<br \/>\nAnswer:<\/p>\n<p>It was rounded at whole value place<\/p>\n<p>Question 23.<br \/>\n<strong>Writing<\/strong><br \/>\nExplain what happens when you round 2.999 to the nearest tenth.<br \/>\nAnswer:<\/p>\n<p>2.999 round value becomes 3.000 as all value places at tenths, hundredths, thousandths are 9 it becomes increased as we move so it ones value increases by 1 and becomes round 3.000.<\/p>\n<p>Question 24.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nTo what place should you round 23.459 to get the greatest number? the least number? Explain.<br \/>\nAnswer:<\/p>\n<p>To make 23.459 to\u00a0 greatest number the value of 4s at tenths\u00a0 becomes 5,<\/p>\n<p>23.500 and to make 23.500 round make 5 at tenths value increased and make ones value 3 as 4 so we get 24.000<\/p>\n<p>and to make 23.459 to least number the value at hundredths 5 becomes 0 ,<\/p>\n<p>23.400\u00a0 and to make 23.400 round make 4 at tenths value as decreased to 0 and ones value same as 3 it becomes as 23.000<\/p>\n<p><strong>Think and Grow: Modeling Real Life<\/strong><\/p>\n<p><strong>Example<\/strong><br \/>\nGasoline prices are listed to the nearest thousandth of a dollar. The final price is rounded to the nearest hundredth. About how much does a customer pay for 1 gallon of regular gasoline at the station shown?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14826\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-5.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.7 5\" width=\"191\" height=\"210\" \/><br \/>\nThink: What do you know? What do you need to find? How will you solve?<br \/>\nUse place value to round the price of 1 gallon of regular gasoline, $2.799, to the nearest hundredth.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14827\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-6.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.7 6\" width=\"211\" height=\"117\" \/><br \/>\nSo, a customer will pay about $ ___$ 2.800____ for 1 gallon of gasoline.<\/p>\n<p><strong>Show and Grow<\/strong><\/p>\n<p><strong>Use the table.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14828\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-7.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.7 7\" width=\"344\" height=\"201\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-7.png 344w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-7-300x175.png 300w\" sizes=\"(max-width: 344px) 100vw, 344px\" \/><br \/>\nQuestion 25.<br \/>\nWhat is the length of the praying mantis rounded to the nearest hundredth?<br \/>\nAnswer:<\/p>\n<p>Given\u00a0 praying mantis as 3.254 so the \u00a0nearest hundredth becomes 3.26<\/p>\n<p>Praying mantis becomes 3.260<\/p>\n<p>Question 26.<br \/>\nWhat is the length of the cicada rounded to the nearest tenth?<br \/>\nAnswer:<\/p>\n<p>Given cicada 1.48 so rounded to the nearest tenth becomes 1.50<\/p>\n<p>Cicada becomes 1.50<\/p>\n<p>Question 27.<br \/>\nWhat is the length of the hissing cockroach rounded to the nearest tenth?<br \/>\nAnswer:<\/p>\n<p>Given Hissing cockroach 2.682 so rounded to the nearest tenth is 2.700<\/p>\n<p>Hissing cockroach becomes 2.700<\/p>\n<p>Question 28.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou have about $3 in coins. Write one possible combination of coins that represents the least amount of money you could have. Write another combination of coins for the greatest amount of money you could have.<br \/>\nAnswer:<\/p>\n<p>$3 Least amount of money combinations &#8211; 1. $ 1.0, $1.0\u00a0 \u00a0 2.$ 1.0, $1.5<\/p>\n<p>3.$0.5, $ 2.0 all combinations becomes less than $3<\/p>\n<p>$ 3 greatest amount of money combinations- 1. $1.0, $ 2.5\u00a0 \u00a02.$1.5 ,$2.0<\/p>\n<p>3. $2.0 , $ 2.0 all combinations becomes more than $3<\/p>\n<h3><a id=\"Round_Decimals_Homework_&amp;_Practice_1.7\"><\/a>Round Decimals Homework &amp; Practice 1.7<\/h3>\n<p><strong>Round the number to the place of the underlined digit.<\/strong><br \/>\nQuestion 1.<br \/>\n<span style=\"text-decoration: underline;\">4<\/span>9.012<br \/>\nAnswer:<\/p>\n<p>the underline digit is 4 its round number 4 becomes 5 so it is 50.000<\/p>\n<p>Question 2.<br \/>\n<span style=\"text-decoration: underline;\">2<\/span>.308<br \/>\nAnswer:<\/p>\n<p>the underline digit is 2\u00a0 its round number 2 becomes as 2.000<\/p>\n<p>Question 3.<br \/>\n9.<span style=\"text-decoration: underline;\">6<\/span>47<br \/>\nAnswer:<\/p>\n<p>the underline digit is 6 its round number 6 becomes 7 so it is 9.700<\/p>\n<p>Question 4.<br \/>\n7.5<span style=\"text-decoration: underline;\">1<\/span>9<br \/>\nAnswer:<\/p>\n<p>the underline digit is 1 its round number 1 becomes\u00a0 2 so it is 7.520<\/p>\n<p>Question 5.<br \/>\nRound 8.436 to the nearest hundredth.<br \/>\nAnswer:<\/p>\n<p>8.436 to the nearest hundredth, 3 becomes 4 so it is 8.440<\/p>\n<p>Question 6.<br \/>\nRound 15.159 to the nearest ten.<br \/>\nAnswer:<\/p>\n<p>15.159 to the nearest ten ,1 becomes 2 so it is 15.200<\/p>\n<p>Question 7.<br \/>\nRound 1.602 to the nearest whole number.<br \/>\nAnswer:<\/p>\n<p>1.602 to the nearest whole number is 2.0<\/p>\n<p>Question 8.<br \/>\nRound 3.619 to the nearest tenth.<br \/>\nAnswer:<\/p>\n<p>3.619 to the nearest tenth, so 6 becomes 7 it is 3.700<\/p>\n<p>Question 9.<br \/>\nRound 4.183.<br \/>\nNearest whole number:<br \/>\nNearest tenth:<br \/>\nNearest hundredth:<br \/>\nAnswer:<\/p>\n<p>Round 4.183.<br \/>\nNearest whole number:4.000<br \/>\nNearest tenth:4.200<br \/>\nNearest hundredth:4.200<\/p>\n<p>Question 10.<br \/>\nRound 9.076.<br \/>\nNearest whole number:<br \/>\nNearest tenth:<br \/>\nNearest hundredth:<br \/>\nAnswer:<\/p>\n<p>Round 9.076.<br \/>\nNearest whole number:9.000<br \/>\nNearest tenth:9.100<br \/>\nNearest hundredth:9.080<\/p>\n<p><strong>Name the place value to which each number was rounded.<\/strong><br \/>\nQuestion 11.<br \/>\n16.932 to 20<br \/>\nAnswer:<\/p>\n<p>16.932 at Tens value it is rounded\u00a0 so it becomes 20<\/p>\n<p>Question 12.<br \/>\n0.581 to 0.58<br \/>\nAnswer:<\/p>\n<p>0.581 to 0.58<\/p>\n<p>0.581 at Thousandths value has been rounded so 0.58<\/p>\n<p>Question 13.<br \/>\n7.429 to 7.4<br \/>\nAnswer:<\/p>\n<p>7.429 to 7.4<\/p>\n<p>7.429 at Hundredths value has been rounded so 7.4<\/p>\n<p>Question 14.<br \/>\n<strong>Structure<\/strong><br \/>\nRound \u2605 to the nearest tenth.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14829\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-8.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.7 8\" width=\"302\" height=\"55\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-8.png 302w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-8-300x55.png 300w\" sizes=\"(max-width: 302px) 100vw, 302px\" \/><br \/>\nAnswer:<\/p>\n<p>the nearest tenth * in the number line is showing at 5.64<\/p>\n<p>Question 15.<br \/>\n<strong>Precision<\/strong><br \/>\nThe area of a campground is exactly halfway between 25.9 acres and 26 acres. What is the area of the campground?<br \/>\nAnswer:<\/p>\n<p>Halfway of 25.9 and 26.0 is 25.90+25.60=51.50\/2 = 25.75 acres<\/p>\n<p>So the area of the campground is 25.75 acres.<\/p>\n<p>Question 16.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nName two different numbers that round to 3.8 when rounded to the nearest tenth.<br \/>\nAnswer:<\/p>\n<p>The two numbers that are round to 3.8 when rounded to the nearest tenth place the value becomes 4.0 and\u00a0 3.90<\/p>\n<p>Question 17.<br \/>\n<strong>Open-Ended<\/strong><br \/>\nName two different numbers that round to 7.42 when rounded to the nearest hundredth.<br \/>\nAnswer:<\/p>\n<p>The two numbers that round to 7.42 when rounded to the nearest hundredth place the value becomes 7.50 and 7.40<\/p>\n<p><strong>Use the table.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14830\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-5-Chapter-1-Place-Value-Concepts-1.7-9.png\" alt=\"Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts 1.7 9\" width=\"148\" height=\"195\" \/><br \/>\nQuestion 18.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nYour science class designs and tests four model boats to find out how much weight they can hold without sinking. What is the greatest weight rounded to the nearest tenth that a boat can hold?<br \/>\nAnswer:<\/p>\n<p>Given weights held without sinking in kilograms are<\/p>\n<p>0.694,0.605,0.592,0.547 among all the weights the greatest weight rounded to the nearest tenth that a boat can hold is (0.694) i.e\u00a0 0.7 kilograms<\/p>\n<p>Question 19.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nWhat is the least weight rounded to the nearest hundredth that a boat can hold?<br \/>\nAnswer:<\/p>\n<p>The least weight rounded to the nearest hundredth is (0.547)- o.5 kilograms a boat can hold<\/p>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the product.<\/strong><br \/>\nQuestion 20.<br \/>\n7 \u00d7 40<br \/>\nAnswer:<\/p>\n<p>The product of 7 X 40 = 280<\/p>\n<p>Question 21.<br \/>\n5,000 \u00d7 9<br \/>\nAnswer:<\/p>\n<p>The product of 5,000 x 9 = 45,000<\/p>\n<p>Question 22.<br \/>\n8 \u00d7 200<br \/>\nAnswer:<\/p>\n<p>The product of 8 x 200=1,600<\/p>\n<h3><a id=\"Place_Value_Concepts_Performance_Task\"><\/a>Place Value Concepts Performance Task<\/h3>\n<p>There are 18 species of penguins. Scientists have estimated the populations of 16 penguin species.<br \/>\nQuestion 1.<br \/>\nWhat fraction of penguin species have unknown populations?<br \/>\nAnswer:<\/p>\n<p>Given total is 18 species of penguins out of which Scientists have estimated the populations of 16 penguin species. so unknown is 18-16\/18=2\/18,<\/p>\n<p>so 2\/18=1\/9 of penguin species have unknown populations<\/p>\n<p>Question 2.<br \/>\nSeveral species of penguins and their estimated populations and locations are shown.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14831\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts 1\" width=\"712\" height=\"201\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1.png 712w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-1-300x85.png 300w\" sizes=\"(max-width: 712px) 100vw, 712px\" \/><br \/>\na. Are there more emperor penguins or rockhopper penguins? Explain.<br \/>\nb. Which species of penguin has the greatest population? Explain.<br \/>\nc. About how many penguins live in Antarctica? Round your answer to the nearest hundred thousand.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14832\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-2.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts 2\" width=\"181\" height=\"184\" \/><br \/>\nd. The Gal\u00e1pagos penguin is an endangered species. There are about 1,000 times as many macaroni penguins as Gal\u00e1pagos penguins. About how many Gal\u00e1pagos penguins are there?<br \/>\nAnswer:<\/p>\n<p>a. Rock hopper penguins are more than Emperor<\/p>\n<p>2,460,000&gt;595,000 as\u00a0 2,460,000 is greater than 595,000 so Rock hopper penguins are more<\/p>\n<p>B. Macaroni species 18 x 10<sup>6 <\/sup>of penguin has the greatest population as compared to Emperor 595,000,Adelie 4,000,000+7,00,000+40,000=4,740,000 and<\/p>\n<p>Rockhopper-2,460,000<\/p>\n<p>among all the species Macaroni 18 x 10<sup>6<\/sup>&#8211; species is more.<\/p>\n<p>C. Macaroni + Adelie + Rockhopper +Emperor<\/p>\n<p>18,000,000+4,740,000+ 2,460,000 + 595,000 = 25,795,000<\/p>\n<p>25,785,000\u00a0 to the nearest hundred thousand is 26,000,000<\/p>\n<p>So there are almost 26,000,000 penguins live in Antarctica.<\/p>\n<p>d. 1,000 times as many macaroni penguins as Gal\u00e1pagos penguins is<\/p>\n<p>18 x 10<sup>6\u00a0 x <\/sup>1 x 1000 = 18 x 10<sup>9\u00a0<\/sup><\/p>\n<p>So there are 18 x 10<sup>9\u00a0<\/sup>Gal\u00e1pagos penguins available<\/p>\n<h3><a id=\"Place_Value_Concepts_Activity\"><\/a>Place Value Concepts Activity<\/h3>\n<p><strong>Place Value Plug In<\/strong><br \/>\n<strong>Directions:<\/strong><br \/>\n1. Players take turns.<br \/>\n2. On your turn, roll six dice. Arrange the dice into a six-digit number that matches one of the descriptions.<br \/>\n3. Write your number on the lines.<br \/>\n4. The first player to fill in all of the numbers wins!<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14833\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-3.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts 3\" width=\"695\" height=\"748\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-3.png 695w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-3-279x300.png 279w\" sizes=\"(max-width: 695px) 100vw, 695px\" \/><br \/>\nAnswer:<\/p>\n<h3><a id=\"Place_Value_Concepts_Chapter_Practice\"><\/a>Place Value Concepts Chapter Practice<\/h3>\n<p><strong>1.1 Place Value Patterns<\/strong><\/p>\n<p><strong>Use a place value chart to answer the question.<\/strong><br \/>\nQuestion 1.<br \/>\nWhat number is 10 times as great as 4,000?<br \/>\nAnswer:<\/p>\n<p>10 times as great as 4,000 is 10 x 4,000= 40,000<\/p>\n<p>Question 2.<br \/>\nWhat number is \\(\\frac{1}{10}\\) of 8,000?<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{1}{10}\\) of 8,000 is 8,000\/10 = 800<\/p>\n<p>Question 3.<br \/>\n10,000 is 10 times as great as what number?<br \/>\nAnswer:<\/p>\n<p>10,000 is 10 times as great as 1,000<\/p>\n<p>Question 4.<br \/>\n70 is \\(\\frac{1}{10}\\) of what number?<br \/>\nAnswer:<\/p>\n<p>70 is \\(\\frac{1}{10}\\) of 700<\/p>\n<p>Question 5.<br \/>\nComplete the table.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14834\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-chp-5.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts chp 5\" width=\"285\" height=\"189\" \/><br \/>\nAnswer:<\/p>\n<p>300 is 10 times as great as 30\u00a0 and 30 x 1\/10 is 3<\/p>\n<p>6,000 is 10 times as great as 600\u00a0and 600 x 1\/10\u00a0 is 60<\/p>\n<p>90,000 is 10 times as great as 9,000 and 9,000 x 1\/10 is 900<\/p>\n<p>2,00,000 is 10 times as great as 20,000 and 20,000 x 1\/10=2,000<\/p>\n<p>Question 6.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend says 500 is 10 times as great as 5,000. Is your friend correct? Explain.<br \/>\nAnswer:<\/p>\n<p>No, My friend is wrong because\u00a0 500 is not 10 times great as 5,000,<\/p>\n<p>500 &lt; 5,000.<\/p>\n<p><strong>1.2 Place Value with Whole Numbers<\/strong><\/p>\n<p>Question 7.<br \/>\nWrite the number in two other forms.<br \/>\nStandard form: 456,701<br \/>\nWord form:<br \/>\nExpanded form:<br \/>\nAnswer:<\/p>\n<p>Word form: Four hundred fifty six thousand, seven hundred and one<br \/>\nExpanded form:4 x 100000 + 5 x 10000 + 6 x 1000 + 7 x 100 + 1<\/p>\n<p>Question 8.<br \/>\nWrite the number in two other forms.<br \/>\nStandard form:<br \/>\nWord form: Eight million, sixty thousand, five hundred seventy-three<br \/>\nExpanded form:<br \/>\nAnswer:<\/p>\n<p>Standard form:8,060,573<br \/>\nExpanded form:8 x 1000000+6 x 10000 + 5 x 100 + 7 x 10 + 3<\/p>\n<p>Question 9.<br \/>\nCompare the values of the 4s in the number 900,441,358.<br \/>\nAnswer:<\/p>\n<p>4s value is at lakh or hundred thousandths place and another 4s place is at ten thousandths place.<\/p>\n<p>Question 10.<br \/>\nWrite the values of the 6s in the number 96,672.<br \/>\nAnswer:<\/p>\n<p>The values of the 6s in the number 96,672 are<\/p>\n<p>6s place is at thousand and another 6s is at hundreds place<\/p>\n<p><strong>Compare.<\/strong><br \/>\nQuestion 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14835\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-chp-11.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts chp 11\" width=\"150\" height=\"44\" \/><br \/>\nAnswer:<\/p>\n<p>83,802 &gt; 83,082<\/p>\n<p>The value at hundred 8 is more\/great to 0 at hundreds place<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14836\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-chp-12.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts chp 12\" width=\"191\" height=\"55\" \/><br \/>\nAnswer:<\/p>\n<p>2,498,576 &gt; 2,477,583<\/p>\n<p>The value at 9 at ten thousands place is more\/great than<strong> 7 <\/strong>at ten thousands place<\/p>\n<p><strong>1.3 Patterns and Powers of 10<\/strong><\/p>\n<p>Question 13.<br \/>\nWrite 10 \u00d7 10 as a power.<br \/>\nAnswer:<\/p>\n<p>10 \u00d7 10 as a power is 10<sup>2<\/sup><\/p>\n<p><strong>Find each product. Use patterns to help.<\/strong><br \/>\nQuestion 14.<br \/>\n4 \u00d7 10 = _____<br \/>\n4 \u00d7 100 = ______<br \/>\n4 \u00d7 1,000 = _____<br \/>\n4 \u00d7 10,000 = ______<br \/>\nAnswer:<\/p>\n<p>4 \u00d7 10 = 40<br \/>\n4 \u00d7 100 = 400<br \/>\n4 \u00d7 1,000 = 4,000<br \/>\n4 \u00d7 10,000 =40,000<\/p>\n<p>Question 15.<br \/>\n3 \u00d7 10 = _____<br \/>\n3 \u00d7 100 = ______<br \/>\n3 \u00d7 1,000 = _____<br \/>\n3 \u00d7 10,000 = ______<br \/>\nAnswer:<\/p>\n<p>3 \u00d7 10 = 30<br \/>\n3 \u00d7 100 = 300<br \/>\n3 \u00d7 1,000 = 3,000<br \/>\n3 \u00d7 10,000 = 30,000<\/p>\n<p>Question 16.<br \/>\n7 \u00d7 10 = _____<br \/>\n7 \u00d7 100 = ______<br \/>\n7 \u00d7 1,000 = _____<br \/>\n7 \u00d7 10,000 = ______<br \/>\nAnswer:<\/p>\n<p>7 \u00d7 10 = 70<br \/>\n7 \u00d7 100 = 700<br \/>\n7 \u00d7 1,000 = 7,000<br \/>\n7 \u00d7 10,000 = 70,000<\/p>\n<p><strong>Find the value of the expression.<\/strong><br \/>\nQuestion 17.<br \/>\n10<sup>5<\/sup><br \/>\nAnswer:<\/p>\n<p>10<sup>5<\/sup>=1,00,000<\/p>\n<p>Question 18.<br \/>\n8 \u00d7 10<sup>1<\/sup><br \/>\nAnswer:<\/p>\n<p>8 \u00d7 10<sup>1= <\/sup>8 x 10 = 80<\/p>\n<p>Question 19.<br \/>\n7 \u00d7 10<sup>4<\/sup><br \/>\nAnswer:<\/p>\n<p>7 \u00d7 10<sup>4 <\/sup>= 7 x\u00a0 10 x 10 x 10 x 10= 70,000<\/p>\n<p>Question 20.<br \/>\n3 \u00d7 10<sup>5<\/sup><br \/>\nAnswer:<\/p>\n<p>3 \u00d7 10<sup>5 <\/sup>= 3 X 10 X 10 X 10 X 10 X 10=3,00,000<\/p>\n<p><strong>Rewrite the number as a whole number multiplied by a power of 10.<\/strong><br \/>\nQuestion 21.<br \/>\n5,000<br \/>\nAnswer:<\/p>\n<p>5,000= 5 X 10<sup>3<\/sup><\/p>\n<p>Question 22.<br \/>\n600,000<br \/>\nAnswer:<\/p>\n<p>6,00,000= 6 X 10<sup>5<\/sup><\/p>\n<p>Question 23.<br \/>\n90<br \/>\nAnswer:<\/p>\n<p>90= 90 X 10<sup>1<\/sup><\/p>\n<p><strong>1.4 Decimals to Thousandths<\/strong><\/p>\n<p><strong>Write the decimal as a fraction.<\/strong><br \/>\nQuestion 24.<br \/>\n0.062<br \/>\nAnswer:<\/p>\n<p>0.062= 62 X 1\/1,000<\/p>\n<p>Question 25.<br \/>\n0.008<br \/>\nAnswer:<\/p>\n<p>0.008= 8 X 1\/1,000<\/p>\n<p>Question 26.<br \/>\n0.195<br \/>\nAnswer:<\/p>\n<p>0.195= 195 X 1\/1,000<\/p>\n<p><strong>Write the fraction as a decimal.<\/strong><br \/>\nQuestion 27.<br \/>\n\\(\\frac{2}{1,000}\\)<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{2}{1,000}\\) = 2 x 1\/1,000= 0.002<\/p>\n<p>Question 28.<br \/>\n\\(\\frac{37}{1,000}\\)<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{37}{1,000}\\) = 37 x 1\/1,000= 0.037<\/p>\n<p>Question 29.<br \/>\n\\(\\frac{409}{1,000}\\)<br \/>\nAnswer:<\/p>\n<p>\\(\\frac{409}{1,000}\\)<strong>= <\/strong>409\/1,000=0.409<\/p>\n<p>Question 30.<br \/>\n0.0.7 is 10 times as great as what number?<br \/>\nAnswer:<\/p>\n<p>0.07 is 10 times great as 0.007<\/p>\n<p>Question 31.<br \/>\n0.04 is \\(\\frac{1}{10}\\) of what number?<br \/>\nAnswer:<\/p>\n<p>0.04 is \\(\\frac{1}{10}\\) of 0.4<\/p>\n<p><strong>1.5 Place Value with Decimals<\/strong><\/p>\n<p><strong>Write the number in two other forms.<\/strong><br \/>\nQuestion 32.<br \/>\nStandard form:<br \/>\nWord form:<br \/>\nExpanded form: 5 \u00d7 1 + 3 \u00d7 \\(\\frac{1}{10}\\) + 8 \u00d7 \\(\\frac{1}{100}\\) + 4 \u00d7 \\(\\frac{1}{1,000}\\)<br \/>\nAnswer:<\/p>\n<p>Standard form:5+0.3+0.08+0.004=5.384<br \/>\nWord form: five and three tenths, eight hundredths and 4 thousandths<\/p>\n<p>Question 33.<br \/>\nStandard form: 2.059<br \/>\nWord form:<br \/>\nExpanded form:<br \/>\nAnswer:<\/p>\n<p>Word form: two and five hundredths and nine thousandths<\/p>\n<p>Expanded form: 2 x 1 + 5 x 1\/100 + 9 x 1\/1000<\/p>\n<p>Question 34.<br \/>\nCompare the values of the 5s in the number 1.055.<br \/>\nAnswer:<\/p>\n<p>5s value is at hundredths and another 5s value is at thousandths place<\/p>\n<p>Question 35.<br \/>\nCompare the values of the 8s in the number 6.884.<br \/>\nAnswer:<\/p>\n<p>8s place value is at tenths value and other 8s place value is at hundredths place<\/p>\n<p><strong>1.6 Compare Decimals<\/strong><\/p>\n<p><strong>Compare.<\/strong><br \/>\nQuestion 36.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14837\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-chp-36.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts chp 36\" width=\"147\" height=\"38\" \/><br \/>\nAnswer:<\/p>\n<p>15.891 &gt; 15.791<\/p>\n<p>the 8 value at tenths place is greater than 7 at tenths place<\/p>\n<p>Question 37.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14838\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-chp-37.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts chp 37\" width=\"128\" height=\"36\" \/><br \/>\nAnswer:<\/p>\n<p>8.205 &lt; 8.250<\/p>\n<p>the 0 at hundredths is less than 5 at hundredths<\/p>\n<p>Question 38.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14839\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-chp-38.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts chp 38\" width=\"122\" height=\"52\" \/><\/p>\n<p>Answer:<\/p>\n<p>Both are same<\/p>\n<p>3.600 = 3.6<\/p>\n<p><strong>Order the decimals from least to greatest.<\/strong><br \/>\nQuestion 39.<br \/>\n7.008, 7.09, 7.180<br \/>\nAnswer:<\/p>\n<p>7.008&lt;7.09<\/p>\n<p>7.09 &lt;7.18<\/p>\n<p>so the decimals from least to greatest are 7.008 , 7.09, 7.180<\/p>\n<p>Question 40.<br \/>\n50.426, 50.42, 50<br \/>\nAnswer:<\/p>\n<p>50 &lt; 50.42<\/p>\n<p>50.42 &lt; 50.426<\/p>\n<p>so the decimals from least to greatest are 50, 50.42, 5.0426<\/p>\n<p>Question 41.<br \/>\n<strong>Modeling Real Life<\/strong><br \/>\nNewton weighs a treat at the pet store. He says it weighs less than 0.519 ounce but more than 0.453 ounce. Which treats could he have weighed?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-14840\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-chp-41.png\" alt=\"Big Ideas Math Solutions Grade 5 Chapter 1 Place Value Concepts chp 41\" width=\"346\" height=\"202\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-chp-41.png 346w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-5-Chapter-1-Place-Value-Concepts-chp-41-300x175.png 300w\" sizes=\"(max-width: 346px) 100vw, 346px\" \/><br \/>\nAnswer:<\/p>\n<p>Newton says it weighs less than 0.519 ounce\u00a0 but more than 0.453 ounce,<\/p>\n<p>so Blue berry waffle 0.512 which is in between 0.453&lt;0.512&lt;0.519<\/p>\n<p>and We have more than 0.453 is 0.459 ounce which is Peanut butter and is less than 0.519 ounce<\/p>\n<p>So Peanut butter 0.453 is in between 0.453&lt;0.459&lt;0.519<\/p>\n<p>so newton would have weighed Peanut butter 0.459 ounce<\/p>\n<p>and it can be even Blueberry\u00a0 waffle 0.512\u00a0 ounce<\/p>\n<p>newton&#8217;s treats could be Peanut butter ,Blueberry waffle<\/p>\n<p><strong>1.7 Round Decimals<\/strong><\/p>\n<p><strong>Round the number to the place of the underlined digit.<\/strong><br \/>\nQuestion 42.<br \/>\n9.<span style=\"text-decoration: underline;\">5<\/span>14<br \/>\nAnswer:<\/p>\n<p>if 9 is digit then it is rounded as 9.0<\/p>\n<p>if 5 then\u00a0 it is rounded as 9.500<\/p>\n<p>if 1 then it is rounded as 9.520<\/p>\n<p>if\u00a0 4 then it is rounded as 9.520,9.510<\/p>\n<p>Question 43.<br \/>\n1.0<span style=\"text-decoration: underline;\">2<\/span>7<br \/>\nAnswer:<\/p>\n<p>1.0<span style=\"text-decoration: underline;\">2<\/span>7 at 2 it is rounded as 1.03<\/p>\n<p>Question 44.<br \/>\n<span style=\"text-decoration: underline;\">8<\/span>.469<br \/>\nAnswer:<\/p>\n<p><span style=\"text-decoration: underline;\">8<\/span>.469, 8 is rounded as 8.500 or 8 or 8.000<\/p>\n<p>Question 45.<br \/>\n<span style=\"text-decoration: underline;\">3<\/span>2.501<br \/>\nAnswer:<\/p>\n<p>in 32.501<\/p>\n<p>3 is rounded as\u00a0 30.000<\/p>\n<p>2- 33.000<\/p>\n<p>5- 32.6 or 33<\/p>\n<p>0-32.5<\/p>\n<p>1 -32.500<\/p>\n<p>Question 46.<br \/>\nRound 0.176 to the nearest<br \/>\nAnswer:<\/p>\n<p><strong>0.200<\/strong><\/p>\n<p>Question 47.<br \/>\nRound 6.538 to the nearest tenth. hundredth.<br \/>\nAnswer:<\/p>\n<p><strong>6.500\u00a0<\/strong><\/p>\n<p>Question 48.<br \/>\nRound 7.425.<br \/>\nNearest whole number:<br \/>\nNearest tenth:<br \/>\nNearest hundredth:<br \/>\nAnswer:<\/p>\n<p>Nearest whole number:8.000, 8<br \/>\nNearest tenth:7.500<br \/>\nNearest hundredth:7.430<\/p>\n<p>Question 49.<br \/>\nRound 2.108.<br \/>\nNearest whole number:<br \/>\nNearest tenth:<br \/>\nNearest hundredth:<br \/>\nAnswer:<\/p>\n<p>Nearest whole number:2.000, 2<br \/>\nNearest tenth:2.100<br \/>\nNearest hundredth:2.100<\/p>\n<p><em>Final Words:<\/em><\/p>\n<p>It is very important for the students to understand and learn the fundamentals at the primary level itself. Here we have prepared the questions as per the latest edition 2019. Keep the textbook aside and try to solve the problems by referring to our Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts. To make you comfortable we have provided the solution key for Big Ideas Math Grade 5 Chapter 1 Place Value Concepts in the pdf format. Stay tuned to our CCSS Math Answers to get the latest updates of BIM Grade 5 Chapters.<\/p>\n<p><a href=\"https:\/\/paisaalgo.com\/hdfclife-pivots-calculator\/\">HDFCLIFE Pivot Calculator<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Do you want practical learning with real-time examples? Then, refer to Big Ideas Math Answers Grade 5 Chapter 1 Place Value Concepts. You can easily enhance your skills by practicing the problems from Big Ideas Math Answer Key, Grade 5 Chapter 1 Place Value Concepts. 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