{"id":1817,"date":"2022-03-25T18:22:15","date_gmt":"2022-03-25T12:52:15","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=1817"},"modified":"2022-04-07T12:28:53","modified_gmt":"2022-04-07T06:58:53","slug":"go-math-grade-4-answer-key-chapter-9-relate-fractions-and-decimals","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-4-answer-key-chapter-9-relate-fractions-and-decimals\/","title":{"rendered":"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals"},"content":{"rendered":"<p><em><strong>Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals<\/strong> <\/em>assists you to examine your preparation level. Get numerous practice questions and exercise questions of Chapter 9 from the 4th Grade Go Math Answer Key Ch 9 Relate Fractions and Decimals and secure high marks. We have provided step-by-step solutions for all the problems covered in HMH <a href=\"https:\/\/ccssmathanswers.com\/go-math-grade-4-answer-key\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go math Grade 4 Answer Key<\/a> Chapter Test, Practice Test, Assessment Tests. So that you can understand the Chapter 9 topics very easily.<\/p>\n<h2>HMH Go Math Grade 4 Chapter 9 Relate Fractions and Decimals Answer Key<\/h2>\n<p>While practicing the concepts of Chapter 9 Relate Fractions and Decimals, click on the links available over here and download the <strong>HMH Go Math Grade 4 Chapter 9 Relate Fractions and Decimals Solution Key<\/strong> for free. Hence, students can seek help to examine their strengths and weaknesses using the 4th Grade HMH Go Math\u00a0 Ch 9 Relate Fractions and Decimals Answer Key.<\/p>\n<p>Lesson 1: Relate Tenths and Decimals<\/p>\n<ul>\n<li><a href=\"#Relate_Tenths_and_Decimals_-_Page_No._499\">Relate Tenths and Decimals &#8211; Page No. 499<\/a><\/li>\n<li><a href=\"#Relate_Tenths_and_Decimals_Lesson_Check_-_Page_No._500\">Relate Tenths and Decimals Lesson Check &#8211; Page No. 500<\/a><\/li>\n<\/ul>\n<p>Lesson 2: Relate Hundredths and Decimals<\/p>\n<ul>\n<li><a href=\"#Relate_Hundredths_and_Decimals_-_Page_No._503\">Relate Hundredths and Decimals &#8211; Page No. 503<\/a><\/li>\n<li><a href=\"#Relate_Hundredths_and_Decimals_Lesson_Check_-_Page_No._504\">Relate Hundredths and Decimals Lesson Check &#8211; Page No. 504<\/a><\/li>\n<li><a href=\"#Relate_Hundredths_and_Decimals_Lesson_Check_1_-_Page_No._505\">Relate Hundredths and Decimals Lesson Check 1 &#8211; Page No. 505<\/a><\/li>\n<li><a href=\"#Relate_Hundredths_and_Decimals_Lesson_Check_2_-_Page_No._506\">Relate Hundredths and Decimals Lesson Check 2 &#8211; Page No. 506<\/a><\/li>\n<\/ul>\n<p>Lesson 3: Equivalent Fractions and Decimals<\/p>\n<ul>\n<li><a href=\"#Equivalent_Fractions_and_Decimals_-_Page_No._509\">Equivalent Fractions and Decimals &#8211; Page No. 509<\/a><\/li>\n<li><a href=\"#Equivalent_Fractions_and_Decimals_Lesson_Check_-_Page_No._510\">Equivalent Fractions and Decimals Lesson Check &#8211; Page No. 510<\/a><\/li>\n<li><a href=\"#Equivalent_Fractions_and_Decimals_Lesson_Check_1_-_Page_No._511\">Equivalent Fractions and Decimals Lesson Check 1 &#8211; Page No. 511<\/a><\/li>\n<li><a href=\"#Equivalent_Fractions_and_Decimals_Lesson_Check_2_-_Page_No._512\">Equivalent Fractions and Decimals Lesson Check 2 &#8211; Page No. 512<\/a><\/li>\n<\/ul>\n<p>Lesson 4: Relate Fractions, Decimals, and Money<\/p>\n<ul>\n<li><a href=\"#Relate_Fractions,_Decimals,_and_Money_-_Page_No._515\">Relate Fractions, Decimals, and Money &#8211; Page No. 515<\/a><\/li>\n<li><a href=\"#Relate_Fractions,_Decimals,_and_Money_Lesson_Check_-_Page_No._516\">Relate Fractions, Decimals, and Money Lesson Check &#8211; Page No. 516<\/a><\/li>\n<li><a href=\"#Relate_Fractions,_Decimals,_and_Money_Lesson_Check_1_-_Page_No._517\">Relate Fractions, Decimals, and Money Lesson Check 1 &#8211; Page No. 517<\/a><\/li>\n<li><a href=\"#Relate_Fractions,_Decimals,_and_Money_Lesson_Check_2_-_Page_No._518\">Relate Fractions, Decimals, and Money Lesson Check 2 &#8211; Page No. 518<\/a><\/li>\n<\/ul>\n<p>Lesson 5: Problem Solving \u2022 Money<\/p>\n<ul>\n<li><a href=\"#Money_-_Page_No._521\">Money &#8211; Page No. 521<\/a><\/li>\n<li><a href=\"#Money_Lesson_Check_-_Page_No._522\">Money Lesson Check &#8211; Page No. 522<\/a><\/li>\n<li><a href=\"#Money_Lesson_Check_1_-_Page_No._523\">Money Lesson Check 1 &#8211; Page No. 523<\/a><\/li>\n<li><a href=\"#Money_Lesson_Check_2_-_Page_No._524\">Money Lesson Check 2 &#8211; Page No. 524<\/a><\/li>\n<\/ul>\n<p>Mid-Chapter Checkpoint<\/p>\n<ul>\n<li><a href=\"#Mid-Chapter_Checkpoint_-_Page_No._525\">Mid-Chapter Checkpoint &#8211; Page No. 525<\/a><\/li>\n<li><a href=\"#Mid-Chapter_Checkpoint_Lesson_Check_-_Page_No._526\">Mid-Chapter Checkpoint Lesson Check &#8211; Page No. 526<\/a><\/li>\n<\/ul>\n<p>Lesson 6: Add Fraction Parts of 10 and 100<\/p>\n<ul>\n<li><a href=\"#Add_Fraction_Parts_of_10_and_100_-_Page_No._529\">Add Fraction Parts of 10 and 100 &#8211; Page No. 529<\/a><\/li>\n<li><a href=\"#Add_Fraction_Parts_of_10_and_100_Lesson_Check_-_Page_No._530\">Add Fraction Parts of 10 and 100 Lesson Check &#8211; Page No. 530<\/a><\/li>\n<li><a href=\"#Add_Fraction_Parts_of_10_and_100_Lesson_Check_1_-_Page_No._531\">Add Fraction Parts of 10 and 100 Lesson Check 1 &#8211; Page No. 531<\/a><\/li>\n<li><a href=\"#Add_Fraction_Parts_of_10_and_100_Lesson_Check_2_-_Page_No._532\">Add Fraction Parts of 10 and 100 Lesson Check 2 &#8211; Page No. 532<\/a><\/li>\n<\/ul>\n<p>Lesson 7: Compare Decimals<\/p>\n<ul>\n<li><a href=\"#Compare_Decimals_-_Page_No._535\">Compare Decimals &#8211; Page No. 535<\/a><\/li>\n<li><a href=\"#Compare_Decimals_Lesson_Check_-_Page_No._536\">Compare Decimals Lesson Check &#8211; Page No. 536<\/a><\/li>\n<li><a href=\"#Compare_Decimals_Lesson_Check_1_-_Page_No._537\">Compare Decimals Lesson Check 1 &#8211; Page No. 537<\/a><\/li>\n<li><a href=\"#Compare_Decimals_Lesson_Check_2_-_Page_No._538\">Compare Decimals Lesson Check 2 &#8211; Page No. 538<\/a><\/li>\n<\/ul>\n<p>Review\/Test<\/p>\n<ul>\n<li><a href=\"#Review\/Test_-_Page_No._539\">Review\/Test &#8211; Page No. 539<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._540\">Review\/Test &#8211; Page No. 540<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._541\">Review\/Test &#8211; Page No. 541<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._542\">Review\/Test &#8211; Page No. 542<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._543\">Review\/Test &#8211; Page No. 543<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._544\">Review\/Test &#8211; Page No. 544<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._551\">Review\/Test &#8211; Page No. 551<\/a><\/li>\n<li><a href=\"#Review\/Test_-_Page_No._552\">Review\/Test &#8211; Page No. 552<\/a><\/li>\n<\/ul>\n<h3><a id=\"Relate_Tenths_and_Decimals_-_Page_No._499\"><\/a>Common Core &#8211; New &#8211; Page No. 499<\/h3>\n<p><strong>Relate Tenths and Decimals<\/strong><\/p>\n<p><strong>Write the fraction or mixed number and the decimal shown by the model.<\/strong><\/p>\n<p>Question 1<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-1.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 1\" width=\"357\" height=\"222\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-1.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 1\" width=\"357\" height=\"222\" \/><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-2.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 2\" width=\"241\" height=\"119\" \/><br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\n1\\(\\frac{2}{10}\\)<\/p>\n<p>Explanation:<br \/>\nThe model is divided into 10 equal parts. Each part represents one-tenth.<br \/>\n1 2\/10 is 1 whole and 2 tenths.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-3.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 3\" width=\"327\" height=\"83\" \/><br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\n2\\(\\frac{3}{10}\\) = 2.3<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-3204\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Common-Core-Image-1-499-300x90.jpg\" alt=\"grade 4 chapter 9 Common Core Image 1 499\" width=\"300\" height=\"90\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Common-Core-Image-1-499-300x90.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Common-Core-Image-1-499.jpg 647w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-4.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 4\" width=\"388\" height=\"81\" \/><br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\n4\\(\\frac{8}{10}\\) = 4.8<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-3206\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Common-Core-Image-2-499-300x118.jpg\" alt=\"grade 4 chapter 9 Common Core Image 2 499\" width=\"300\" height=\"118\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Common-Core-Image-2-499-300x118.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Common-Core-Image-2-499.jpg 746w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Write the fraction or mixed number as a decimal.<\/strong><\/p>\n<p>Question 5.<br \/>\n\\(\\frac{4}{10}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n0.4<\/p>\n<p>Explanation:<br \/>\nWrite down 4 with the decimal point 1 space from the right (because 10 has 1 zero)<br \/>\n0.4<\/p>\n<p>Question 6.<br \/>\n3 \\(\\frac{1}{10}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n3.1<\/p>\n<p>Explanation:<br \/>\nMultiply 3 x 10 = 30.<br \/>\nAdd 30 + 1 = 31.<br \/>\nSo, 31\/10.<br \/>\nWrite down 31 with the decimal point 1 space from the right (because 10 has 1 zero)<br \/>\n3.1<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{7}{10}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n0.7<\/p>\n<p>Explanation:<br \/>\nWrite down 7 with the decimal point 1 space from the right (because 10 has 1 zero)<br \/>\n0.7<\/p>\n<p>Question 8.<br \/>\n6 \\(\\frac{5}{10}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n6.5<\/p>\n<p>Explanation:<br \/>\nMultiply 6 x 10 = 60.<br \/>\nAdd 60 + 5 = 65.<br \/>\nSo, 65\/10.<br \/>\nWrite down 35 with the decimal point 1 space from the right (because 10 has 1 zero)<br \/>\n6.5<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{9}{10}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n0.9<\/p>\n<p>Explanation:<br \/>\nWrite down 9 with the decimal point 1 space from the right (because 10 has 1 zero)<br \/>\n0.9<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 10.<br \/>\nThere are 10 sports balls in the equipment closet. Three are kickballs. Write the portion of the balls that are kickballs as a fraction, as a decimal, and in word form.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{3}{10}\\) = 0.3 = three tenths<\/p>\n<p>Explanation:<br \/>\nThere are 10 sports balls in the equipment closet. Three are kickballs. So, 3\/10 kickballs are available.<\/p>\n<p>Question 11.<br \/>\nPeyton has 2 pizzas. Each pizza is cut into 10 equal slices. She and her friends eat 14 slices. What part of the pizzas did they eat? Write your answer as a decimal.<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n1.4 pizzas<\/p>\n<p>Explanation:<br \/>\nPeyton has 2 pizzas. Each pizza is cut into 10 equal slices.<br \/>\nSo, total number of slices = 2 x 10 = 20.<br \/>\nShe and her friends eat 14 slices.<br \/>\nSo, they ate 1 whole pizza and 4 parts out of 10 slices in the second pizza.<br \/>\n1 4\/10 = 14\/10 = 1.4 pizzas<\/p>\n<h3><a id=\"Relate_Tenths_and_Decimals_Lesson_Check_-_Page_No._500\"><\/a>Common Core &#8211; New &#8211; Page No. 500<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nValerie has 10 CDs in her music case. Seven of the CDs are pop music CDs. What is this amount written as a decimal?<br \/>\nOptions:<br \/>\na. 70.0<br \/>\nb. 7.0<br \/>\nc. 0.7<br \/>\nd. 0.07<\/p>\n<p>Answer:<br \/>\nc. 0.7<\/p>\n<p>Explanation:<br \/>\nValerie has 10 CDs in her music case. Seven of the CDs are pop music CDs.<br \/>\nSeven CDs out of 10 CDs = 7\/10 =0.7<\/p>\n<p>Question 2.<br \/>\nWhich decimal amount is modeled below?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-5.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 5\" width=\"323\" height=\"161\" \/><br \/>\nOptions:<br \/>\na. 140.0<br \/>\nb. 14.0<br \/>\nc. 1.4<br \/>\nd. 0.14<\/p>\n<p>Answer:<br \/>\nc. 1.4<\/p>\n<p>Explanation:<br \/>\n1\\(\\frac{4}{10}\\)<br \/>\nMultiply 10 x 1 = 10.<br \/>\nAdd 10 + 4 = 14.<br \/>\nSo, 14\/10 = 1.4.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nWhich number is a factor of 13?<br \/>\nOptions:<br \/>\na. 1<br \/>\nb. 3<br \/>\nc. 4<br \/>\nd. 7<\/p>\n<p>Answer:<br \/>\na. 1<\/p>\n<p>Explanation:<br \/>\n13 has 1 and 13 as its factors.<\/p>\n<p>Question 4.<br \/>\nAn art gallery has 18 paintings and 4 photographs displayed in equal rows on a wall, with the same number of each type of art in each row. Which of the following could be the number of rows?<br \/>\nOptions:<br \/>\na. 2 rows<br \/>\nb. 3 rows<br \/>\nc. 4 rows<br \/>\nd. 6 rows<\/p>\n<p>Answer:<br \/>\na. 2 rows<\/p>\n<p>Explanation:<br \/>\nAn art gallery has 18 paintings and 4 photographs displayed in equal rows on a wall, with the same number of each type of art in each row. So, 18 paintings and 4 photographs need to be divided into equal parts.<br \/>\n18\/2 = 9; 4\/2 = 2.<br \/>\n2 rows can be possible with 9 pictures and 2 pictures in each row.<\/p>\n<p>Question 5.<br \/>\nHow do you write the mixed number shown as a fraction greater than 1?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-6.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 6\" width=\"242\" height=\"71\" \/><br \/>\nOptions:<br \/>\na. \\(\\frac{32}{5}\\)<br \/>\nb. \\(\\frac{14}{4}\\)<br \/>\nc. \\(\\frac{6}{4}\\)<br \/>\nd. \\(\\frac{4}{4}\\)<\/p>\n<p>Answer:<br \/>\nb. \\(\\frac{14}{4}\\)<\/p>\n<p>Explanation:<br \/>\n3\\(\\frac{2}{4}\\) = 14\/4. 14 divided by 4 is equal to 3 with a remainder of 2. The 3 is greater than 1. So, 14\/4 &gt; 1.<\/p>\n<p>Question 6.<br \/>\nWhich of the following models has an amount shaded that is equivalent to the fraction \\(\\frac{1}{5}\\)?<br \/>\na. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-7.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 7\" width=\"127\" height=\"40\" \/><br \/>\nb. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-8.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 8\" width=\"131\" height=\"70\" \/><br \/>\nc. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-9.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 9\" width=\"128\" height=\"71\" \/><br \/>\nd. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-10.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 10\" width=\"129\" height=\"70\" \/><\/p>\n<p>Answer:<br \/>\nc. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-9.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 9\" width=\"128\" height=\"71\" \/><\/p>\n<p>Explanation:<br \/>\na. \\(\\frac{2}{3}\\)<br \/>\nb. \\(\\frac{5}{10}\\) = \\(\\frac{1}{2}\\)<br \/>\nc. \\(\\frac{2}{10}\\) = \\(\\frac{1}{5}\\)<br \/>\nd. \\(\\frac{1}{10}\\)<\/p>\n<h3><a id=\"Relate_Hundredths_and_Decimals_-_Page_No._503\"><\/a>Page No. 503<\/h3>\n<p>Question 1.<br \/>\nShade the model to show \\(\\frac{31}{100}\\).<br \/>\nWrite the amount as a decimal.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-11.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 11\" width=\"344\" height=\"97\" \/><br \/>\n_____<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-3380\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-503-300x133.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 1 503\" width=\"300\" height=\"133\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-503-300x133.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-503-768x341.jpg 768w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-503.jpg 774w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p><strong>Write the fraction or mixed number and the decimal shown by the model.<\/strong><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-12.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 12\" width=\"90\" height=\"91\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{68}{100}\\) = 0.68<\/p>\n<p>Explanation:<br \/>\n68 boxes are shaded out of 100 boxes.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-13.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 13\" width=\"91\" height=\"92\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{8}{100}\\) = 0.08<\/p>\n<p>Explanation:<br \/>\n8 boxes are shaded out of 100 boxes.<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-14.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 14\" width=\"661\" height=\"82\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n6\\(\\frac{19}{100}\\) = 6.19<\/p>\n<p>Explanation:<br \/>\n0.5 is 5 tenths and 0.50 is 5 tenths 0 hundredths. Since both 0.5 and 0.50 have 5 tenths and no hundredths, they are equivalent<\/p>\n<p><strong>Write the fraction or mixed number and the decimal shown by the model.<\/strong><\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-15.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 15\" width=\"191\" height=\"91\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n1\\(\\frac{83}{100}\\) = 1.83<\/p>\n<p>Explanation:<br \/>\n1 whole number(all the square boxes are shaded) and 83 squares boxes shaded out from 100 boxes.<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-16.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 16\" width=\"91\" height=\"91\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{75}{100}\\)<\/p>\n<p>Explanation:<br \/>\n75 boxes are shaded out of 100 boxes.<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-17.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 17\" width=\"636\" height=\"84\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{47}{100}\\) = 0.47<\/p>\n<p>Explanation:<br \/>\nThe point lies between \\(\\frac{40}{100}\\) and \\(\\frac{50}{100}\\). The number of lines in between \\(\\frac{40}{100}\\) and \\(\\frac{50}{100}\\) are 10. The point is placed at 7th line. So, 40 + 7 = 47. Answer = \\(\\frac{47}{100}\\)<\/p>\n<p><strong>Practice: Copy and Solve Write the fraction or mixed number as a decimal.<\/strong><\/p>\n<p>Question 8.<br \/>\n\\(\\frac{9}{100}\\) = _____<\/p>\n<p>Answer:<br \/>\n0.09<\/p>\n<p>Explanation:<br \/>\nWrite down 9 with the decimal point 2 spaces from the right (because 100 has 2 zeros)<\/p>\n<p>Question 9.<br \/>\n4 \\(\\frac{55}{100}\\) = _____<\/p>\n<p>Answer:<br \/>\n4.55<\/p>\n<p>Explanation:<br \/>\n4 \\(\\frac{55}{100}\\) = \\(\\frac{455}{100}\\)<br \/>\nWrite down 455 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 4.55 is the answer<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{10}{100}\\) = _____<\/p>\n<p>Answer:<br \/>\n0.10 = 0.1<\/p>\n<p>Explanation:<br \/>\nWrite down 10 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 0.10 =0.1 is the answer<\/p>\n<p>Question 11.<br \/>\n9 \\(\\frac{33}{100}\\) = _____<\/p>\n<p>Answer:<br \/>\n9.33<\/p>\n<p>Explanation:<br \/>\n9 \\(\\frac{33}{100}\\) = \\(\\frac{933}{100}\\)<br \/>\nWrite down 933 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 9.33 is the answer.<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{92}{100}\\) = _____<\/p>\n<p>Answer:<br \/>\n0.92<\/p>\n<p>Explanation:<br \/>\nWrite down 92 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 0.92 is the answer<\/p>\n<p>Question 13.<br \/>\n14 \\(\\frac{16}{100}\\) = _____<\/p>\n<p>Answer:<br \/>\n14.16<\/p>\n<p>Explanation:<br \/>\n14 \\(\\frac{16}{100}\\) = \\(\\frac{1416}{100}\\)<br \/>\nWrite down 1416 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 14.16 is the answer.<\/p>\n<h3><a id=\"Relate_Hundredths_and_Decimals_Lesson_Check_-_Page_No._504\"><\/a>Page No. 504<\/h3>\n<p>Question 14.<br \/>\nShade the grids to show three different ways to represent \\(\\frac{16}{100}\\) using models.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-18.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 18\" width=\"328\" height=\"103\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-3383\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-504-300x97.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 1 504\" width=\"300\" height=\"97\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-504-300x97.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-504.jpg 375w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>Question 15.<br \/>\nDescribe Relationships Describe how one whole, one tenth, and one hundredth are related.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nOne whole = 1.00<br \/>\nOne tenth: 0.1<br \/>\nOne hundredth: 0.01<br \/>\nOne whole is 10 times the one-tenth, and one-tenth is 10 times the one hundredth.<\/p>\n<p>Question 16.<br \/>\nShade the model to show 1 \\(\\frac{24}{100}\\). Then write the mixed number in decimal form.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-19.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 19\" width=\"229\" height=\"110\" \/><br \/>\n_____<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3384\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-504.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 2 504\" width=\"218\" height=\"110\" \/><br \/>\n1\\(\\frac{24}{100}\\) = \\(\\frac{124}{100}\\) = 1.24<\/p>\n<p>Question 17.<br \/>\nThe Memorial Library is 0.3 mile from school. Whose statement makes sense? Whose statement is nonsense? Explain your reasoning.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-20.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 20\" width=\"727\" height=\"278\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nThe boy&#8217;s statement makes sense. Because The Memorial Library is 0.3 miles from the school. Digit 3 in the tenths place after the first place of decimal.<br \/>\nThe girl&#8217;s statement makes non-sense. Because there she said 3 miles that is not equal to 0.3 miles.<\/p>\n<h3><a id=\"Relate_Hundredths_and_Decimals_Lesson_Check_1_-_Page_No._505\"><\/a>Common Core &#8211; New &#8211; Page No. 505<\/h3>\n<p><strong>Relate Hundredths and Decimals<\/strong><\/p>\n<p><strong>Write the fraction or mixed number and the decimal shown by the model.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-21.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 21\" width=\"363\" height=\"249\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-21.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 21\" width=\"363\" height=\"249\" \/><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-22.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 22\" width=\"369\" height=\"88\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{29}{100}\\) = 0.29<\/p>\n<p>Explanation:<br \/>\n0.20 names the same amount as 20\/100. So, the given point is at 29\/100 = 0.29<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-23.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 23\" width=\"292\" height=\"146\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n1\\(\\frac{54}{100}\\) = 1.54<\/p>\n<p>Explanation:<br \/>\nFrom the given image, one model is one whole and another model 54 boxes shaded out of 100. So, the answer is 1\\(\\frac{54}{100}\\) = 1.54<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-24.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 24\" width=\"376\" height=\"86\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n4\\(\\frac{62}{100}\\) = 4.62<\/p>\n<p>Explanation:<br \/>\n4.60 names the same amount as 4\\(\\frac{60}{100}\\). So, the given point is at 4\\(\\frac{62}{100}\\) = 4.62<\/p>\n<p><strong>Write the fraction or mixed number as a decimal.<\/strong><\/p>\n<p>Question 5.<br \/>\n\\(\\frac{37}{100}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n0.37<\/p>\n<p>Explanation:<br \/>\nWrite down 37 with the decimal point 2 spaces from the right (because 100 has 2 zeros). 0.37<\/p>\n<p>Question 6.<br \/>\n8 \\(\\frac{11}{100}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n8.11<\/p>\n<p>Explanation:<br \/>\n8\\(\\frac{11}{100}\\) = \\(\\frac{811}{100}\\)<br \/>\nWrite down 811 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 8.11 is the answer.<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{98}{100}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n0.98<\/p>\n<p>Explanation:<br \/>\nWrite down 98 with the decimal point 2 spaces from the right (because 100 has 2 zeros). 0.98<\/p>\n<p>Question 8.<br \/>\n25 \\(\\frac{50}{100}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n25.50<\/p>\n<p>Explanation:<br \/>\n25\\(\\frac{50}{100}\\) = \\(\\frac{2550}{100}\\)<br \/>\nWrite down 2550 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 25.50 is the answer.<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{6}{100}\\)<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n0.06<\/p>\n<p>Explanation:<br \/>\nWrite down 6 with the decimal point 2 spaces from the right (because 100 has 2 zeros). 0.06<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 10.<br \/>\nThere are 100 pennies in a dollar. What fraction of a dollar is 61 pennies? Write it as a fraction, as a decimal, and in word form.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{61}{100}\\) pennies = 0.61 = sixty-one hundredths<\/p>\n<p>Explanation:<br \/>\nThere are 100 pennies in a dollar. So, for 61 pennies, there are \\(\\frac{61}{100}\\) pennies = 0.61 = sixty-one hundredths.<\/p>\n<p>Question 11.<br \/>\nKylee has collected 100 souvenir thimbles from different places she has visited with her family. Twenty of the thimbles are carved from wood. Write the fraction of thimbles that are wooden as a decimal.<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nIt is easier to work with decimals then fractions because it is like adding whole numbers in a normal way.<\/p>\n<h3><a id=\"Relate_Hundredths_and_Decimals_Lesson_Check_2_-_Page_No._506\"><\/a>Common Core &#8211; New &#8211; Page No. 506<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nWhich decimal represents the shaded section of the model below?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-25.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 25\" width=\"199\" height=\"195\" \/><br \/>\nOptions:<br \/>\na. 830.0<br \/>\nb. 83.0<br \/>\nc. 8.30<br \/>\nd. 0.83<\/p>\n<p>Answer:<br \/>\nd. 0.83<\/p>\n<p>Explanation:<br \/>\nThe model is divided into 100 equal parts. Each part represents one hundredth. 83 boxes are shaded out of 100. So, the answer is \\(\\frac{83}{100}\\) = 0.83<\/p>\n<p>Question 2.<br \/>\nThere were 100 questions on the unit test. Alondra answered 97 of the questions correctly. What decimal represents the fraction of questions Alondra answered correctly?<br \/>\nOptions:<br \/>\na. 0.97<br \/>\nb. 9.70<br \/>\nc. 90.70<br \/>\nd. 970.0<\/p>\n<p>Answer:<br \/>\na. 0.97<\/p>\n<p>Explanation:<br \/>\nThere were 100 questions on the unit test. Alondra answered 97 of the questions correctly. So, \\(\\frac{97}{100}\\) questions answered correctly. = 0.97<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nWhich is equivalent to \\(\\frac{7}{8}\\)?<br \/>\nOptions:<br \/>\na. \\(\\frac{5}{8}+\\frac{3}{8}\\)<br \/>\nb. \\(\\frac{4}{8}+\\frac{1}{8}+\\frac{1}{8}\\)<br \/>\nc. \\(\\frac{3}{8}+\\frac{2}{8}+\\frac{2}{8}\\)<br \/>\nd. \\(\\frac{2}{8}+\\frac{2}{8}+\\frac{1}{8}+\\frac{1}{8}\\)<\/p>\n<p>Answer:<br \/>\nc. \\(\\frac{3}{8}+\\frac{2}{8}+\\frac{2}{8}\\)<\/p>\n<p>Explanation:<br \/>\nc. \\(\\frac{3}{8}+\\frac{2}{8}+\\frac{2}{8}\\) = \\(\\frac{7}{8}\\)<\/p>\n<p>Question 4.<br \/>\nWhat is \\(\\frac{9}{10}-\\frac{6}{10}\\)?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-26.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 26\" width=\"131\" height=\"137\" \/><br \/>\nOptions:<br \/>\na. \\(\\frac{1}{10}\\)<br \/>\nb. \\(\\frac{3}{10}\\)<br \/>\nc. \\(\\frac{4}{10}\\)<br \/>\nd. \\(\\frac{6}{10}\\)<\/p>\n<p>Answer:<br \/>\nb. \\(\\frac{3}{10}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{9}{10}-\\frac{6}{10}\\). From 9 parts, 6 parts are removed. So, remaining parts are 3.<\/p>\n<p>Question 5.<br \/>\nMisha used \\(\\frac{1}{4}\\) of a carton of 12 eggs to make an omelet. How many eggs did she use?<br \/>\nOptions:<br \/>\na. 2<br \/>\nb. 3<br \/>\nc. 4<br \/>\nd. 6<\/p>\n<p>Answer:<br \/>\nb. 3<\/p>\n<p>Explanation:<br \/>\nMisha used \\(\\frac{1}{4}\\) of a carton of 12 eggs to make an omelet. \\(\\frac{1}{4}\\) x 12 = 3 eggs.<\/p>\n<p>Question 6.<br \/>\nKurt used the rule add 4, subtract 1 to generate a pattern. The first term in his pattern is 5. Which number could be in Kurt\u2019s pattern?<br \/>\nOptions:<br \/>\na. 4<br \/>\nb. 6<br \/>\nc. 10<br \/>\nd. 14<\/p>\n<p>Answer:<br \/>\nd. 14<\/p>\n<p>Explanation:<br \/>\nKurt used the rule add 4, subtract 1 to generate a pattern. The first term in his pattern is 5. The pattern numbers are 5, 8, 11, 14, 17, 20, etc. So, the answer is 14.<\/p>\n<h3><a id=\"Equivalent_Fractions_and_Decimals_-_Page_No._509\"><\/a>Page No. 509<\/h3>\n<p>Question 1.<br \/>\nWrite \\(\\frac{4}{10}\\) as hundredths.<br \/>\nWrite \\(\\frac{4}{10}\\) as an equivalent fraction.<br \/>\n\\(\\frac{4}{10}\\) =\\(\\frac{4 \u00d7 \u25a0}{10\u00d7 \u25a0}\\)<br \/>\nWrite \\(\\frac{4}{10}\\) as a decimal.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-27.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 27\" width=\"228\" height=\"59\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{40}{100}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3475\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-509-300x81.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 1 509\" width=\"196\" height=\"53\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-509-300x81.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-509.jpg 692w\" sizes=\"(max-width: 196px) 100vw, 196px\" \/><br \/>\n0.40<\/p>\n<p>Explanation:<br \/>\nWrite \\(\\frac{4}{10}\\) as an equivalent fraction.<br \/>\n\\(\\frac{4}{10}\\) =\\(\\frac{4 \u00d7 10}{10\u00d7 10}\\) = \\(\\frac{40}{100}\\)<br \/>\n6 tenths is the same as 6 tenths 0 hundredths. So the decimal form = 0.40<\/p>\n<p><strong>Write the number as hundredths in fraction form and decimal form.<\/strong><\/p>\n<p>Question 2.<br \/>\n\\(\\frac{7}{10}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{70}{100}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3476\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-509-300x77.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 2 509\" width=\"194\" height=\"50\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-509-300x77.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-509.jpg 697w\" sizes=\"(max-width: 194px) 100vw, 194px\" \/><br \/>\n0.70<\/p>\n<p>Explanation:<br \/>\nWrite \\(\\frac{7}{10}\\) as an equivalent fraction.<br \/>\n\\(\\frac{7}{10}\\) =\\(\\frac{7 \u00d7 10}{10\u00d7 10}\\) = \\(\\frac{70}{100}\\)<br \/>\n7 tenths is the same as 7 tenths 0 hundredths. So the decimal form = 0.70<\/p>\n<p>Question 3.<br \/>\n0.5<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{50}{100}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3479\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-509-300x79.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 3 509\" width=\"251\" height=\"66\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-509-300x79.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-509.jpg 692w\" sizes=\"(max-width: 251px) 100vw, 251px\" \/><br \/>\n0.50<\/p>\n<p>Explanation:<br \/>\nWrite 0.5 = \\(\\frac{5}{10}\\) as an equivalent fraction.<br \/>\n\\(\\frac{5}{10}\\) =\\(\\frac{5 \u00d7 10}{10\u00d7 10}\\) = \\(\\frac{50}{100}\\)<br \/>\n5 tenths is the same as 5 tenths 0 hundredths and also 0.5<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{3}{10}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{30}{100}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3481\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-4-509-300x78.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 4 509\" width=\"231\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-4-509-300x78.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-4-509.jpg 690w\" sizes=\"(max-width: 231px) 100vw, 231px\" \/><br \/>\n0.30<\/p>\n<p>Explanation:<br \/>\nWrite \\(\\frac{3}{10}\\) as an equivalent fraction.<br \/>\n\\(\\frac{3}{10}\\) =\\(\\frac{3 \u00d7 10}{10\u00d7 10}\\) = \\(\\frac{30}{100}\\)<br \/>\n3 tenths is the same as 3 tenths 0 hundredths. So the decimal form = 0.30<\/p>\n<p><strong>Write the number as tenths in fraction form and decimal form.<\/strong><\/p>\n<p>Question 5.<br \/>\n0.40<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{4}{10}\\) = 0.4<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3475\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-509-300x81.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 1 509\" width=\"196\" height=\"53\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-509-300x81.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-509.jpg 692w\" sizes=\"(max-width: 196px) 100vw, 196px\" \/><br \/>\nThere are no hundredths.<br \/>\n0.40 is equivalent to 4 tenths.<br \/>\nWrite 0.40 as 4 tenths = 0.4 = \\(\\frac{4}{10}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{80}{100}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{8}{10}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3491\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-509-300x76.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 5 509\" width=\"241\" height=\"61\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-509-300x76.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-509.jpg 692w\" sizes=\"(max-width: 241px) 100vw, 241px\" \/><br \/>\n0.8<\/p>\n<p>Explanation:<br \/>\n10 is a common factor of the numerator and the denominator.<br \/>\n\\(\\frac{80}{100}\\) = \\(\\frac{80 \u00f7 10}{100 \u00f7 10}\\) = \\(\\frac{8}{10}\\)<br \/>\n0.8<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{20}{100}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{2}{10}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3492\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-6-509-300x78.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 6 509\" width=\"219\" height=\"57\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-6-509-300x78.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-6-509.jpg 689w\" sizes=\"(max-width: 219px) 100vw, 219px\" \/><br \/>\n0.2<\/p>\n<p>Explanation:<br \/>\n10 is a common factor of the numerator and the denominator.<br \/>\n\\(\\frac{20}{100}\\) = \\(\\frac{20 \u00f7 10}{100 \u00f7 10}\\) = \\(\\frac{2}{10}\\)<br \/>\n0.2<\/p>\n<p><strong>Practice: Copy and Solve Write the number as hundredths in fraction form and decimal form.<\/strong><\/p>\n<p>Question 8.<br \/>\n\\(\\frac{8}{10}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{80}{100}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3491\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-509-300x76.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 5 509\" width=\"209\" height=\"53\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-509-300x76.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-509.jpg 692w\" sizes=\"(max-width: 209px) 100vw, 209px\" \/><br \/>\n0.8<\/p>\n<p>Explanation:<br \/>\nWrite \\(\\frac{8}{10}\\) as an equivalent fraction.<br \/>\n\\(\\frac{8}{10}\\) =\\(\\frac{8 \u00d7 10}{10\u00d7 10}\\) = \\(\\frac{80}{100}\\)<br \/>\n8 tenths is the same as 8 tenths 0 hundredths. So the decimal form = 0.8<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{2}{10}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{20}{100}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3492\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-6-509-300x78.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 6 509\" width=\"219\" height=\"57\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-6-509-300x78.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-6-509.jpg 689w\" sizes=\"(max-width: 219px) 100vw, 219px\" \/><br \/>\n0.2<\/p>\n<p>Explanation:<br \/>\nWrite \\(\\frac{2}{10}\\) as an equivalent fraction.<br \/>\n\\(\\frac{2}{10}\\) =\\(\\frac{2 \u00d7 10}{10\u00d7 10}\\) = \\(\\frac{20}{100}\\)<br \/>\n2 tenths is the same as 2 tenths 0 hundredths. So the decimal form = 0.2<\/p>\n<p>Question 10.<br \/>\n0.1<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{50}{100}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3503\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-7-509-300x76.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 7 509\" width=\"193\" height=\"49\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-7-509-300x76.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-7-509.jpg 689w\" sizes=\"(max-width: 193px) 100vw, 193px\" \/><br \/>\n0.50<\/p>\n<p>Explanation:<br \/>\nWrite 0.1 = \\(\\frac{1}{10}\\) as an equivalent fraction.<br \/>\n\\(\\frac{1}{10}\\) =\\(\\frac{1 \u00d7 10}{10\u00d7 10}\\) = \\(\\frac{10}{100}\\)<br \/>\n1 tenth is the same as 1 tenth 0 hundredths and also 0.1<\/p>\n<p><strong>Practice: Copy and Solve Write the number as tenths in fraction form and decimal form.<\/strong><\/p>\n<p>Question 11.<br \/>\n\\(\\frac{60}{100}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{6}{10}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3509\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-8-509-300x77.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 8 509\" width=\"245\" height=\"63\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-8-509-300x77.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-8-509.jpg 693w\" sizes=\"(max-width: 245px) 100vw, 245px\" \/><br \/>\n0.6<\/p>\n<p>Explanation:<br \/>\n10 is a common factor of the numerator and the denominator.<br \/>\n\\(\\frac{60}{100}\\) = \\(\\frac{60 \u00f7 10}{100 \u00f7 10}\\) = \\(\\frac{6}{10}\\)<br \/>\n0.6<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{90}{100}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{9}{10}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3510\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-9-509-300x79.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 9 509\" width=\"232\" height=\"61\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-9-509-300x79.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-9-509.jpg 690w\" sizes=\"(max-width: 232px) 100vw, 232px\" \/><br \/>\n0.9<\/p>\n<p>Explanation:<br \/>\n10 is a common factor of the numerator and the denominator.<br \/>\n\\(\\frac{90}{100}\\) = \\(\\frac{90 \u00f7 10}{100 \u00f7 10}\\) = \\(\\frac{9}{10}\\)<br \/>\n= 0.9<\/p>\n<p>Question 13.<br \/>\n0.70<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{7}{10}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3476\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-509-300x77.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 2 509\" width=\"194\" height=\"50\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-509-300x77.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-509.jpg 697w\" sizes=\"(max-width: 194px) 100vw, 194px\" \/><br \/>\n0.7<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3476\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-509-300x77.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 2 509\" width=\"194\" height=\"50\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-509-300x77.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-509.jpg 697w\" sizes=\"(max-width: 194px) 100vw, 194px\" \/><br \/>\nThere are no hundredths.<br \/>\n0.70 is equivalent to 7 tenths.<br \/>\nWrite 0.70 as 7 tenths = 0.7 = \\(\\frac{7}{10}\\)<\/p>\n<p><strong>Write the number as an equivalent mixed number with hundredths.<\/strong><\/p>\n<p>Question 14.<br \/>\n1 \\(\\frac{4}{10}\\) = _____<\/p>\n<p>Answer:<br \/>\n1 \\(\\frac{40}{100}\\)<\/p>\n<p>Explanation:<br \/>\n1 \\(\\frac{4 x 10}{10 x 10}\\) = 1 \\(\\frac{40}{100}\\)<\/p>\n<p>Question 15.<br \/>\n3 \\(\\frac{5}{10}\\) = _____<\/p>\n<p>Answer:<br \/>\n3 \\(\\frac{50}{100}\\)<\/p>\n<p>Explanation:<br \/>\n3 \\(\\frac{5}{10}\\) = 3 \\(\\frac{5 x 10}{10 x 10}\\) = 3 \\(\\frac{50}{100}\\)<\/p>\n<p>Question 16.<br \/>\n2 \\(\\frac{9}{10}\\) = _____<\/p>\n<p>Answer:<br \/>\n2 \\(\\frac{90}{100}\\)<\/p>\n<p>Explanation:<br \/>\n2 \\(\\frac{9}{10}\\) = 2 \\(\\frac{9 x 10}{10 x 10}\\) = 2 \\(\\frac{90}{100}\\)<\/p>\n<h3><a id=\"Equivalent_Fractions_and_Decimals_Lesson_Check_-_Page_No._510\"><\/a>Page No. 510<\/h3>\n<p>Question 17.<br \/>\nCarter says that 0.08 is equivalent to \\(\\frac{8}{10}\\). Describe and correct Carter\u2019s error.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3521\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-510-300x78.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 1 510\" width=\"204\" height=\"53\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-510-300x78.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-510.jpg 700w\" sizes=\"(max-width: 204px) 100vw, 204px\" \/><br \/>\n8 hundredths = \\(\\frac{8}{100}\\)<br \/>\nThe decimal point is before the 2 numbers. So, the denominator should be 100.<\/p>\n<p>Question 18.<br \/>\nFor numbers 18a\u201318e, choose True or False for the statement.<br \/>\na. 0.6 is equivalent to \\(\\frac{6}{100}\\).<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\nii. False<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3509\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-8-509-300x77.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 8 509\" width=\"245\" height=\"63\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-8-509-300x77.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-8-509.jpg 693w\" sizes=\"(max-width: 245px) 100vw, 245px\" \/><br \/>\n0.60 = 6 tenths.<br \/>\n6 tenths = \\(\\frac{6}{10}\\)<\/p>\n<p>Question 18.<br \/>\nb. \\(\\frac{3}{10}\\) is equivalent to 0.30.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\ni. True<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3481\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-4-509-300x78.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 4 509\" width=\"231\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-4-509-300x78.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-4-509.jpg 690w\" sizes=\"(max-width: 231px) 100vw, 231px\" \/><br \/>\n0.30 = 3 tenths.<br \/>\n3 tenths = \\(\\frac{3}{10}\\)<\/p>\n<p>Question 18.<br \/>\nc. \\(\\frac{40}{100}\\) is equivalent to \\(\\frac{4}{10}\\).<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\ni. True<\/p>\n<p>Explanation:<br \/>\n10 is a common factor of the numerator and the denominator.<br \/>\n\\(\\frac{40}{100}\\) = \\(\\frac{40 \u00f7 10}{100 \u00f7 10}\\) = \\(\\frac{4}{10}\\)<\/p>\n<p>Question 18.<br \/>\nd. 0.40 is equivalent to \\(\\frac{4}{100}\\).<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\nii. False<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3475\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-509-300x81.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 1 509\" width=\"196\" height=\"53\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-509-300x81.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-509.jpg 692w\" sizes=\"(max-width: 196px) 100vw, 196px\" \/><br \/>\n4 tenths and 0 hundreds = \\(\\frac{4}{10}\\)<\/p>\n<p>Question 18.<br \/>\ne. 0.5 is equivalent to 0.50.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\ni. True<\/p>\n<p>Explanation:<br \/>\nIf you add any zeros after the 5 it will be equal to 0.5. So, 0.5 is equivalent to 0.50<\/p>\n<p><strong>Inland Water<\/strong><br \/>\nHow many lakes and rivers does your state have? The U.S. Geological Survey defines inland water as water that is surrounded by land. The Atlantic Ocean, the Pacific Ocean, and the Great Lakes are not considered inland water.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-28.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 28\" width=\"315\" height=\"241\" \/><\/p>\n<p>Question 19.<br \/>\nJust over \\(\\frac{2}{100}\\) of the entire United States is inland water. Write \\(\\frac{2}{100}\\) as a decimal.<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n0.02<\/p>\n<p>Explanation:<br \/>\nWrite down 2 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, \\(\\frac{2}{100}\\) = 0.02 is the answer<\/p>\n<p>Question 20.<br \/>\nCan you write 0.02 as tenths? Explain.<br \/>\n_____ tenth<\/p>\n<p>Answer:<br \/>\n0.2 tenth<\/p>\n<p>Explanation:<br \/>\n0.02 = \\(\\frac{2}{100}\\) = \\(\\frac{2 \u00f7 10}{100 \u00f7 10}\\) = \\(\\frac{0.2}{10}\\)<\/p>\n<p>Question 21.<br \/>\nAbout 0.17 of the area of Rhode Island is inland water. Write 0.17 as a fraction.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{17}{100}\\)<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3530\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-510-300x77.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 2 510\" width=\"206\" height=\"53\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-510-300x77.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-510.jpg 690w\" sizes=\"(max-width: 206px) 100vw, 206px\" \/><br \/>\n1 tenth and 7 hundred.<br \/>\nSo, write 0.17 as \\(\\frac{17}{100}\\)<\/p>\n<p>Question 22.<br \/>\nLouisiana\u2019s lakes and rivers cover about \\(\\frac{1}{10}\\) of the state. Write \\(\\frac{1}{10}\\) as hundredths in words, fraction form, and decimal form.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nTen hundredths = \\(\\frac{10}{100}\\) = 0.10<\/p>\n<p>Explanation:<br \/>\n1 tenth is the same as the 1 tenth and 0 hundred<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3503\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-7-509-300x76.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 7 509\" width=\"193\" height=\"49\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-7-509-300x76.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-7-509.jpg 689w\" sizes=\"(max-width: 193px) 100vw, 193px\" \/><br \/>\n0.1 = 0.10 = \\(\\frac{10}{100}\\)<\/p>\n<h3><a id=\"Equivalent_Fractions_and_Decimals_Lesson_Check_1_-_Page_No._511\"><\/a>Common Core &#8211; New &#8211; Page No. 511<\/h3>\n<p><strong>Equivalent Fractions and Decimals<\/strong><\/p>\n<p><strong>Write the number as hundredths in fraction form and decimal form.<\/strong><\/p>\n<p>Question 1.<br \/>\n\\(\\frac{5}{10}\\) \\(\\frac{5}{10}\\) = \\(\\frac{5 \\times 10}{10 \\times 10}\\) = \\(\\frac{50}{100}\\)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-29.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 29\" width=\"137\" height=\"65\" \/><br \/>\nThink: 5 tenths is the same as 5 tenths and 0 hundredths. Write 0.50.<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{9}{10}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{90}{100}\\); 0.90<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{9}{10}\\) = \\(\\frac{9 \\times 10}{10 \\times 10}\\) = \\(\\frac{90}{100}\\)<br \/>\n9 tenths is the same as 9 tenths and 0 hundredths. Write 0.90<\/p>\n<p>Question 3.<br \/>\n0.2<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{20}{100}\\)<br \/>\n0.20<\/p>\n<p>Explanation:<br \/>\n2 tenths is the same as 2 tenths and 0 hundredths. Write 0.20.<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3492\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-6-509-300x78.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 6 509\" width=\"219\" height=\"57\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-6-509-300x78.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-6-509.jpg 689w\" sizes=\"(max-width: 219px) 100vw, 219px\" \/><br \/>\n\\(\\frac{2}{10}\\) = \\(\\frac{2 x 10}{10 x 10}\\) = \\(\\frac{20}{100}\\)<\/p>\n<p>Question 4.<br \/>\n0.8<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{80}{100}\\) = 0.80<\/p>\n<p>Explanation:<br \/>\n8 tenths is the same as 8 tenths and 0 hundredths. Write 0.80.<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3491\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-509-300x76.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 5 509\" width=\"209\" height=\"53\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-509-300x76.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-509.jpg 692w\" sizes=\"(max-width: 209px) 100vw, 209px\" \/><br \/>\n\\(\\frac{8}{10}\\) = \\(\\frac{8 x 10}{10 x 10}\\) = \\(\\frac{80}{100}\\)<\/p>\n<p><strong>Write the number as tenths in fraction form and decimal form.<\/strong><\/p>\n<p>Question 5.<br \/>\n\\(\\frac{40}{100}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{4}{10}\\) = 0.4<\/p>\n<p>Explanation:<br \/>\n10 is a common factor of the numerator and the denominator.<br \/>\n\\(\\frac{40}{100}\\) = \\(\\frac{40 \u00f7 10}{100 \u00f7 10}\\) = \\(\\frac{4}{10}\\)<br \/>\n= 0.4<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{10}{100}\\)<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{1}{10}\\) = 0.1<\/p>\n<p>Explanation:<br \/>\n10 is a common factor of the numerator and the denominator.<br \/>\n\\(\\frac{10}{100}\\) = \\(\\frac{10 \u00f7 10}{100 \u00f7 10}\\) = \\(\\frac{1}{10}\\)<br \/>\n= 0.1<\/p>\n<p>Question 7.<br \/>\n0.60<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{6}{10}\\) = 0.6<\/p>\n<p>Explanation:<br \/>\n0.60 is 60 hundredths.<br \/>\n\\(\\frac{60}{100}\\).<br \/>\n10 is a common factor of the numerator and the denominator.<br \/>\n\\(\\frac{60}{100}\\) = \\(\\frac{60 \u00f7 10}{100 \u00f7 10}\\) = \\(\\frac{6}{10}\\)<br \/>\n= 0.6<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 8.<br \/>\nBilly walks \\(\\frac{6}{10}\\) mile to school each day. Write \\(\\frac{6}{10}\\) as hundredths in fraction form and in decimal form.<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{60}{100}\\)<br \/>\n0.60<\/p>\n<p>Explanation:<br \/>\nBilly walks \\(\\frac{6}{10}\\) mile to school each day.<br \/>\n\\(\\frac{6}{10}\\) = \\(\\frac{6 x 10}{10 x 10}\\) = \\(\\frac{60}{100}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3509\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-8-509-300x77.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 8 509\" width=\"245\" height=\"63\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-8-509-300x77.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-8-509.jpg 693w\" sizes=\"(max-width: 245px) 100vw, 245px\" \/><br \/>\n0.60<\/p>\n<p>Question 9.<br \/>\nFour states have names that begin with the letter A. This represents 0.08 of all the states. Write 0.08 as a fraction.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{8}{100}\\)<\/p>\n<p>Explanation:<br \/>\n0.08 is 8 hundredths. So, the fraction is \\(\\frac{8}{100}\\)<\/p>\n<h3><a id=\"Equivalent_Fractions_and_Decimals_Lesson_Check_2_-_Page_No._512\"><\/a>Common Core &#8211; New &#8211; Page No. 512<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nThe fourth-grade students at Harvest School make up 0.3 of all students at the school. Which fraction is equivalent to 0.3?<br \/>\nOptions:<br \/>\na. \\(\\frac{3}{10}\\)<br \/>\nb. \\(\\frac{30}{10}\\)<br \/>\nc. \\(\\frac{3}{100}\\)<br \/>\nd. \\(\\frac{33}{100}\\)<\/p>\n<p>Answer:<br \/>\na. \\(\\frac{3}{10}\\)<\/p>\n<p>Explanation:<br \/>\n0.3 is same as the 3 tenths. So, the answer is \\(\\frac{3}{10}\\)<\/p>\n<p>Question 2.<br \/>\nKyle and his brother have a marble set. Of the marbles, 12 are blue. This represents \\(\\frac{50}{100}\\) of all the marbles. Which decimal is equivalent to \\(\\frac{50}{100}\\)?<br \/>\nOptions:<br \/>\na. 50<br \/>\nb. 5.0<br \/>\nc. 0.50<br \/>\nd. 5,000<\/p>\n<p>Answer:<br \/>\nc. 0.50<\/p>\n<p>Explanation:<\/p>\n<p>Write down 50 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 0.50 is the answer<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nJesse won his race by 3 \\(\\frac{45}{100}\\) seconds. What is this number written as a decimal?<br \/>\nOptions:<br \/>\na. 0.345<br \/>\nb. 3.45<br \/>\nc. 34.5<br \/>\nd. 345<\/p>\n<p>Answer:<br \/>\nb. 3.45<\/p>\n<p>Explanation:<br \/>\n3 \\(\\frac{45}{100}\\) = \\(\\frac{345}{100}\\). Write down 345 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 3.45 is the answer<\/p>\n<p>Question 4.<br \/>\nMarge cut 16 pieces of tape for mounting pictures on poster board. Each piece of tape was \\(\\frac{3}{8}\\) inch long. How much tape did Marge use?<br \/>\nOptions:<br \/>\na. 2 inches<br \/>\nb. 4 inches<br \/>\nc. 5 inches<br \/>\nd. 6 inches<\/p>\n<p>Answer:<br \/>\nd. 6 inches<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{3}{8}\\) x 16 = 6 inches<\/p>\n<p>Question 5.<br \/>\nOf Katie\u2019s pattern blocks, \\(\\frac{9}{12}\\) are triangles. What is \\(\\frac{9}{12}\\) in simplest form?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{4}\\)<br \/>\nb. \\(\\frac{2}{3}\\)<br \/>\nc. \\(\\frac{3}{4}\\)<br \/>\nd. \\(\\frac{9}{12}\\)<\/p>\n<p>Answer:<br \/>\nc. \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{9}{12}\\) is divided by 3. So, \\(\\frac{3}{4}\\) is the answer.<\/p>\n<p>Question 6.<br \/>\nA number pattern has 75 as its first term. The rule for the pattern is subtract 6. What is the sixth term?<br \/>\nOptions:<br \/>\na. 39<br \/>\nb. 45<br \/>\nc. 51<br \/>\nd. 69<\/p>\n<p>Answer:<br \/>\nb. 45<\/p>\n<p>Explanation:<br \/>\n75 is the first term.<br \/>\n75 &#8211; 6 =69<br \/>\n69 &#8211; 6 = 63<br \/>\n63 &#8211; 6 = 57<br \/>\n57 &#8211; 6 = 51<br \/>\n51 &#8211; 6 = 45.<br \/>\nThe sixth term is 45.<\/p>\n<h3><a id=\"Relate_Fractions,_Decimals,_and_Money_-_Page_No._515\"><\/a>Page No. 515<\/h3>\n<p>Question 1.<br \/>\nWrite the amount of money as a decimal in terms of dollars.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-30.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 30\" width=\"212\" height=\"45\" \/><br \/>\n5 pennies = \\(\\frac{5}{100}\\) of a dollar = _____ of a dollar.<br \/>\n_____ of a dollar<\/p>\n<p>Answer:<br \/>\n5 pennies = \\(\\frac{5}{100}\\) of a dollar = 0.05 of a dollar.<br \/>\n0.05 of a dollar<\/p>\n<p>Explanation:<br \/>\nWrite down 5 with the decimal point 2 spaces from the right (because 100 has 2 zeros). 0.05<\/p>\n<p><strong>Write the total money amount. Then write the amount as a fraction or a mixed number and as a decimal in terms of dollars.<\/strong><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-31.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 31\" width=\"276\" height=\"97\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{109}{100}\\) = 1.09<\/p>\n<p>Explanation:<br \/>\n1 dollar = 1\/10 dimes<br \/>\n1 dollar = 1\/100 pennies<br \/>\n1 dollar = 25\/100 quarters<br \/>\n(3 x 1\/10) + (4 x 1\/100) + (3 x 25\/100)<br \/>\n3\/10 + 4\/100 + 75\/100<br \/>\n30\/100 + 4\/100 + 75\/100 = 109\/100 = 1.09<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-32.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 32\" width=\"187\" height=\"83\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{60}{100}\\) = 0.60<\/p>\n<p>Explanation:<br \/>\nGiven that 1 quarter, 2 dimes, and 3 cents.<br \/>\n10 dimes = 1 dollars<br \/>\n100 pennies = 1 dollar<br \/>\n4 quarters = 1 dollar<br \/>\n2 cents = 1 dollar<br \/>\n(25\/100) + (2 x 1\/10) + (3 x 5\/100) = 25\/100 + 20\/100 + 15\/100 = 60\/100 = 0.60<\/p>\n<p><strong>Write as a money amount and as a decimal in terms of dollars.<\/strong><\/p>\n<p>Question 4.<br \/>\n\\(\\frac{92}{100}\\)<br \/>\namount: _____ decimal: _____of a dollar<\/p>\n<p>Answer:<br \/>\namount: $0.92 decimal: 0.92 of a dollar<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{92}{100}\\) = 0.92<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{7}{100}\\)<br \/>\nmoney amount: $ _____ decimal: _____ of a dollar<\/p>\n<p>Answer:<br \/>\nmoney amount: $0.07 decimal: 0.07 of a dollar<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{7}{100}\\) = 0.07<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{16}{100}\\)<br \/>\nmoney amount: $ _____ decimal: _____ of a dollar<\/p>\n<p>Answer:<br \/>\nmoney amount: $0.16 decimal: 0.16 of a dollar<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{16}{100}\\) = 0.16<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{53}{100}\\)<br \/>\nmoney amount: $ _____ decimal: _____ of a dollar<\/p>\n<p>Answer:<br \/>\nmoney amount: $0.53 decimal: 0.53 of a dollar<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{53}{100}\\) = 0.53<\/p>\n<p><strong>Write the total money amount. Then write the amount as a fraction or a mixed number and as a decimal in terms of dollars.<\/strong><\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-33.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 33\" width=\"217\" height=\"93\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{46}{100}\\) = 0.46<\/p>\n<p>Explanation:<br \/>\nGiven that 3 dimes, 3 nickels, 1 pennies<br \/>\n(3 x 10\/100) + (3 x 5\/100) + 1\/100 = 30\/100 + 15\/100 + 1\/100 = 46\/100 = 0.46<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-34.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 34\" width=\"268\" height=\"86\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{136}{100}\\) = 1.36<\/p>\n<p>Explanation:<br \/>\nGiven that 1 dollar, 1 quarter, 1 pennies, 2 nickels<br \/>\n1 + 25\/100 + 1\/100 + (2 x 5\/100)<br \/>\n1 + 25\/100 + 1\/100 + 10\/100<br \/>\n1 + 36\/100<br \/>\n136\/100 = 1.36<\/p>\n<p><strong>Write as a money amount and as a decimal in terms of dollars.<\/strong><\/p>\n<p>Question 10.<br \/>\n\\(\\frac{27}{100}\\)<br \/>\nmoney amount: $ _____ decimal: _____ of a dollar<\/p>\n<p>Answer:<br \/>\namount: $0.27 decimal: 0.27 of a dollar<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{27}{100}\\) = 0.27<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{4}{100}\\)<br \/>\nmoney amount: $ _____ decimal: _____ of a dollar<\/p>\n<p>Answer:<br \/>\namount: $0.04 decimal: 0.04 of a dollar<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{4}{100}\\) = 0.04<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{75}{100}\\)<br \/>\nmoney amount: $ _____ decimal: _____ of a dollar<\/p>\n<p>Answer:<br \/>\namount: $0.75 decimal: 0.75 of a dollar<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{75}{100}\\) = 0.75<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{100}{100}\\)<br \/>\nmoney amount: $ _____ decimal:_____ of a dollar<\/p>\n<p>Answer:<br \/>\nmoney amount: $1 decimal: 1 of a dollar<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{100}{100}\\) = 1<\/p>\n<p><strong>Write the total money amount. Then write the amount as a fraction and as a decimal in terms of dollars.<\/strong><\/p>\n<p>Question 14.<br \/>\n1 quarter 6 dimes 8 pennies<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nmoney amount: $0.39; fraction: \\(\\frac{39}{100}\\) decimal: 0.39 of a dollar<\/p>\n<p>Explanation:<br \/>\n1 dollar = 100 cents<br \/>\n1 quarter = 25 cents<br \/>\n1 dime = 10 cents<br \/>\n1 penny = 1 cent<br \/>\n1 quarter 6 dimes 8 pennies = (25\/100) + (6 x 10\/100) + (8 x 1\/100)<br \/>\n25\/100 + 60\/100 + 8\/100 = 39\/100 = 0.39<\/p>\n<p>Question 15.<br \/>\n3 dimes 5 nickels 20 pennies<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nmoney amount: $0.75; fraction: \\(\\frac{75}{100}\\) decimal: 0.75 of a dollar<\/p>\n<p>Explanation:<br \/>\n1 dollar = 100 cents<br \/>\n1 quarter = 25 cents<br \/>\n1 dime = 10 cents<br \/>\n1 penny = 1 cent<br \/>\n3 dimes 5 nickels 20 pennies = (3 x 10\/100) + (5 x 5\/100) + (20 x 1\/100)<br \/>\n30\/100 + 25\/100 + 20\/100 = 75\/100 = 0.75<\/p>\n<h3><a id=\"Relate_Fractions,_Decimals,_and_Money_Lesson_Check_-_Page_No._516\"><\/a>Page No. 516<\/h3>\n<p><strong>Make Connections Algebra Complete to tell the value of each digit.<\/strong><\/p>\n<p>Question 16.<br \/>\na.<br \/>\n$1.05 = _____ dollar + _____ pennies;<\/p>\n<p>Answer:<br \/>\n$1.05 = 1 dollar + 5 pennies<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3575\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-516-300x88.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 1 516\" width=\"259\" height=\"76\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-516-300x88.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-516.jpg 567w\" sizes=\"(max-width: 259px) 100vw, 259px\" \/><br \/>\n$1.05 = 1 dollar and 05 pennies<br \/>\nThere are 100 pennies in 1 dollar.<br \/>\nSo, $1.05 = 105 pennies.<\/p>\n<p>Question 16.<br \/>\nb.<br \/>\n1.05 = _____ one + _____ hundredths<\/p>\n<p>Answer:<br \/>\n1.05 = 1 one and 05 hundredths<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3577\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-516-300x80.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 2 516\" width=\"281\" height=\"75\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-516-300x80.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-516.jpg 693w\" sizes=\"(max-width: 281px) 100vw, 281px\" \/><br \/>\n1.05 = 1 one and 05 hundredths<br \/>\nThere are 100 hundredths in 1 one.<br \/>\nSo, 1.05 = 105 hundredths.<\/p>\n<p>Question 17.<br \/>\na.<br \/>\n$5.18 = _____ dollars + _____ dime + _____ pennies;<\/p>\n<p>Answer:<br \/>\n$5.18 = 5 dollars + 1 dime + 8 pennies;<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3578\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-516-300x88.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 3 516\" width=\"263\" height=\"77\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-516-300x88.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-516.jpg 573w\" sizes=\"(max-width: 263px) 100vw, 263px\" \/><br \/>\n$5.18 = 5 dollar and 1 dime and 8 pennies<br \/>\nThere are 500 pennies in 5 dollars.<br \/>\n1 dime = 10 pennies<br \/>\nSo, $5.18 = 518 pennies.<\/p>\n<p>Question 17.<br \/>\nb.<br \/>\n5.18 = _____ ones + _____ tenth + _____ pennies<\/p>\n<p>Answer:<br \/>\n5.18 = 5 ones + 1 tenths + 8 pennies<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3579\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-4-516-300x81.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 4 516\" width=\"207\" height=\"56\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-4-516-300x81.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-4-516.jpg 694w\" sizes=\"(max-width: 207px) 100vw, 207px\" \/><br \/>\n5.18 = 5 ones and 1 tenths and 8 pennies<br \/>\nThere are 100 hundredths in 1 one. So, 500 hundredths in 5 ones.<br \/>\nSo, 5.18 = 518 hundredths.<\/p>\n<p><strong>Use the table for 18\u201319.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-35.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 35\" width=\"343\" height=\"130\" \/><\/p>\n<p>Question 18.<br \/>\nThe table shows the coins three students have. Write Nick\u2019s total amount as a fraction in terms of dollars.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) of a dollar<\/p>\n<p>Answer:<br \/>\n\\(\\frac{92}{100}\\) of a dollar<\/p>\n<p>Explanation:<br \/>\nNick\u2019s total amount = 2 quarters + 4 dimes + 0 Nickels + 2 pennies<br \/>\n= (2 x 25\/100) + (4 x 10\/100) + (2 x 1\/100) = 50\/100 + 40\/100 + 2\/100 = 92\/100<\/p>\n<p>Question 19.<br \/>\nKim spent \\(\\frac{40}{100}\\) of a dollar on a snack. Write as a money amount the amount she has left.<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$0.28<\/p>\n<p>Explanation:<br \/>\nKim&#8217;s total amount = 1 quarter + 3 dimes + 2 nickels + 3 pennies<br \/>\n= 25\/100 + (3 x 10\/100) + (2 x 5\/100) + (3 x 1\/100) = 25\/100 + 30\/100 + 10\/100 + 3\/100 = 68\/100.<br \/>\nKim spent \\(\\frac{40}{100}\\) of a dollar on a snack. So, 68\/100 &#8211; 40\/100 = 28\/100 = 0.28<\/p>\n<p>Question 20.<br \/>\nTravis has \\(\\frac{1}{2}\\) of a dollar. He has at least two different types of coins in his pocket. Draw two possible sets of coins that Travis could have.<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3581\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-6-516-300x97.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 6 516\" width=\"285\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-6-516-300x97.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-6-516.jpg 453w\" sizes=\"(max-width: 285px) 100vw, 285px\" \/><\/p>\n<p>Explanation:<br \/>\n1 Quarter + 2 dimes + 5 Pennies = 25\/100 + 10\/100 + 10\/100 + 5\/100 = 50\/100 = 1\/2 of a dollar<br \/>\n1 Quarter + 2 dimes + 1 Nickel = 25\/100 + 10\/100 + 10\/100 + 5\/100 = 50\/100 = 1\/2 of a dollar<\/p>\n<p>Question 21.<br \/>\nComplete the table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-36.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 36\" width=\"420\" height=\"231\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3582\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-7-516-300x170.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 7 516\" width=\"332\" height=\"188\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-7-516-300x170.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-7-516.jpg 604w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><\/p>\n<h3><a id=\"Relate_Fractions,_Decimals,_and_Money_Lesson_Check_1_-_Page_No._517\"><\/a>Common Core &#8211; New &#8211; Page No. 517<\/h3>\n<p><strong>Relate Fractions, Decimals, and Money<\/strong><\/p>\n<p><strong>Write the total money amount. Then write the amount as a fraction or a mixed number and as a decimal in terms of dollars.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-37.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 37\" width=\"295\" height=\"222\" \/><\/p>\n<p>Answer:<br \/>\n$0.18 = \\(\\frac{18}{100}\\) = 0.18<\/p>\n<p>Explanation:<br \/>\nGiven that 3 Pennies + 3 Nickels = 3\/100 + 15\/100 = 18\/100<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-38.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 38\" width=\"260\" height=\"148\" \/><br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n$0.56 = \\(\\frac{56}{100}\\) = 0.56<\/p>\n<p>Explanation:<br \/>\nGiven that 1 Quarter + 3 dime + 1 Pennies = 25\/100 + 30\/100 + 1\/100 = 56\/100<\/p>\n<p><strong>Write as a money amount and as a decimal in terms of dollars.<\/strong><\/p>\n<p>Question 3.<br \/>\n\\(\\frac{25}{100}\\)<br \/>\nDollars: _____ Decimal: _____<\/p>\n<p>Answer:<br \/>\nDollars: 1 quarter = $0.25; Decimal: 0.25<\/p>\n<p>Explanation:<br \/>\n25 our of 100 dollars = 1 quarter.<br \/>\nSo, 25\/100 = 0.25<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{79}{100}\\)<br \/>\nDollars: _____ Decimal: _____<\/p>\n<p>Answer:<br \/>\namount: $0.79 decimal: 0.79 of a dollar<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{79}{100}\\) = 0.79<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{31}{100}\\)<br \/>\nDollars: _____ Decimal: _____<\/p>\n<p>Answer:<br \/>\namount: $0.31 decimal: 0.31 of a dollar<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{31}{100}\\) = 0.31<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{8}{100}\\)<br \/>\nDollars: _____ Decimal: _____<\/p>\n<p>Answer:<br \/>\namount: $0.08 decimal: 0.08 of a dollar<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{8}{100}\\) = 0.08<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{42}{100}\\)<br \/>\nDollars: _____ Decimal: _____<\/p>\n<p>Answer:<br \/>\namount: $0.42 decimal: 0.42 of a dollar<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{42}{100}\\) = 0.42<\/p>\n<p><strong>Write the money amount as a fraction in terms of dollars.<\/strong><\/p>\n<p>Question 8.<br \/>\n$0.87<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{87}{100}\\) of a dollar<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3584\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-517-300x80.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 1 517\" width=\"263\" height=\"70\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-517-300x80.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-517.jpg 576w\" sizes=\"(max-width: 263px) 100vw, 263px\" \/><br \/>\n$0.87 = 87 pennies<br \/>\nThere are 100 pennies in 1 dollar.<br \/>\nSo, $0.87 = \\(\\frac{87}{100}\\) of a dollar.<\/p>\n<p>Question 9.<br \/>\n$0.03<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{3}{100}\\)<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3585\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-517-300x82.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 2 517\" width=\"227\" height=\"62\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-517-300x82.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-517.jpg 566w\" sizes=\"(max-width: 227px) 100vw, 227px\" \/><br \/>\n$0.03 = 3 pennies<br \/>\nThere are 100 pennies in 1 dollar.<br \/>\nSo, $0.03 = \\(\\frac{3}{100}\\).<\/p>\n<p>Question 10.<br \/>\n$0.66<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{66}{100}\\)<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3586\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-517-300x77.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 3 517\" width=\"281\" height=\"72\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-517-300x77.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-517.jpg 565w\" sizes=\"(max-width: 281px) 100vw, 281px\" \/><br \/>\n$0.66 = 66 pennies<br \/>\nThere are 100 pennies in 1 dollar.<br \/>\nSo, $0.66 = \\(\\frac{66}{100}\\).<\/p>\n<p>Question 11.<br \/>\n$0.95<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{95}{100}\\)<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3587\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-4-517-300x79.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 4 517\" width=\"232\" height=\"61\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-4-517-300x79.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-4-517.jpg 562w\" sizes=\"(max-width: 232px) 100vw, 232px\" \/><br \/>\n$0.95 = 95 pennies<br \/>\nThere are 100 pennies in 1 dollar.<br \/>\nSo, $0.95 = \\(\\frac{95}{100}\\).<\/p>\n<p>Question 12.<br \/>\n$1.00<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{100}{100}\\)<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3588\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-517-300x85.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 5 517\" width=\"236\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-517-300x85.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-517.jpg 565w\" sizes=\"(max-width: 236px) 100vw, 236px\" \/><br \/>\n$1.00 = 1 dollar<br \/>\nThere are 100 pennies in 1 dollar.<br \/>\nSo, $1.00 = \\(\\frac{100}{100}\\).<\/p>\n<p><strong>Write the total money amount. Then write the amount as a fraction and as a decimal in terms of dollars.<\/strong><\/p>\n<p>Question 13.<br \/>\n2 quarters 2 dimes<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nmoney amount: $0.70; fraction: \\(\\frac{70}{100}\\); decimal: 0.70<\/p>\n<p>Explanation:<br \/>\nGiven that 2 quarters 2 dimes = (2 x 25\/100) + (2 x 10\/100) = 50\/100 + 20\/100 = 70\/100<\/p>\n<p>Question 14.<br \/>\n3 dimes 4 pennies<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nmoney amount: $0.34; fraction: \\(\\frac{34}{100}\\); decimal: 0.34<\/p>\n<p>Explanation:<br \/>\nGiven that 3 dimes 4 pennies = (3 x 10\/100) + (4 x 1\/100) = 30\/100 + 4\/100 = 34\/100<\/p>\n<p>Question 15.<br \/>\n8 nickels 12 pennies<br \/>\nType below:<br \/>\n_________<\/p>\n<p>Answer:<br \/>\nmoney amount: $0.57; fraction: \\(\\frac{57}{100}\\); decimal: 0.57<\/p>\n<p>Explanation:<br \/>\nGiven that 8 nickels 12 pennies = (8 x 5\/100) + (12 x 1\/100) = 45\/100 + 12\/100 = 57\/100<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 16.<br \/>\nKate has 1 dime, 4 nickels, and 8 pennies. Write Kate\u2019s total amount as a fraction in terms of a dollar.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\nfraction: \\(\\frac{38}{100}\\)<\/p>\n<p>Explanation:<br \/>\nKate has 1 dime, 4 nickels, and 8 pennies.<br \/>\n10\/100 + (4 x 5\/100) + (8\/100) = 10\/100 + 20\/100 + 8\/100 = 38\/100<\/p>\n<p>Question 17.<br \/>\nNolan says he has \\(\\frac{75}{100}\\) of a dollar. If he only has 3 coins, what are the coins?<br \/>\n_________<\/p>\n<p>Answer:<br \/>\n3 quarters<\/p>\n<p>Explanation:<br \/>\n3 quarters = \\(\\frac{25}{100}\\) + \\(\\frac{25}{100}\\) + \\(\\frac{25}{100}\\) = \\(\\frac{75}{100}\\)<\/p>\n<h3><a id=\"Relate_Fractions,_Decimals,_and_Money_Lesson_Check_2_-_Page_No._518\"><\/a>Common Core &#8211; New &#8211; Page No. 518<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nWhich of the following names the total money amount shown as a fraction in terms of a dollar?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-39.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 39\" width=\"343\" height=\"166\" \/><br \/>\nOptions:<br \/>\na. \\(\\frac{43}{1}\\)<br \/>\nb. \\(\\frac{43}{10}\\)<br \/>\nc. \\(\\frac{43}{57}\\)<br \/>\nd. \\(\\frac{43}{100}\\)<\/p>\n<p>Answer:<br \/>\nd. \\(\\frac{43}{100}\\)<\/p>\n<p>Explanation:<br \/>\nGiven that 1 quarter + 1 nickel + 1 dime + 3 pennies = 25\/100 + 5\/100 + 10\/100 + 3\/100 = 43\/100<\/p>\n<p>Question 2.<br \/>\nCrystal has \\(\\frac{81}{100}\\) of a dollar. Which of the following could be the coins Crystal has?<br \/>\nOptions:<br \/>\na. 3 quarters, 1 dime, 1 penny<br \/>\nb. 2 quarters, 6 nickels, 1 penny<br \/>\nc. 2 quarters, 21 pennies<br \/>\nd. 1 quarter, 4 dimes, 1 nickel, 1 penny<\/p>\n<p>Answer:<br \/>\nb. 2 quarters, 6 nickels, 1 penny<\/p>\n<p>Explanation:<br \/>\n2 quarters, 6 nickels, 1 penny = (2 x 25\/100) + (6 x 5\/100) + 1\/100 = 50\/100 + 30\/100 + 1\/100 = 81\/100<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nJoel gives \\(\\frac{1}{3}\\) of his baseball cards to his sister. Which fraction is equivalent to \\(\\frac{1}{3}\\)?<br \/>\nOptions:<br \/>\na. \\(\\frac{3}{5}\\)<br \/>\nb. \\(\\frac{2}{6}\\)<br \/>\nc. \\(\\frac{8}{9}\\)<br \/>\nd. \\(\\frac{4}{10}\\)<\/p>\n<p>Answer:<br \/>\nb. \\(\\frac{2}{6}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{6}\\) is divided by 2. The remaining answer after the dividion is \\(\\frac{1}{3}\\).<\/p>\n<p>Question 4.<br \/>\nPenelope bakes pretzels. She salts \\(\\frac{3}{8}\\) of the pretzels. Which fraction is equivalent to \\(\\frac{3}{8}\\)?<br \/>\nOptions:<br \/>\na. \\(\\frac{9}{24}\\)<br \/>\nb. \\(\\frac{15}{20}\\)<br \/>\nc. \\(\\frac{3}{16}\\)<br \/>\nd. \\(\\frac{1}{5}\\)<\/p>\n<p>Answer:<br \/>\na. \\(\\frac{9}{24}\\)<\/p>\n<p>Explanation:<br \/>\na. \\(\\frac{9}{24}\\) is divided by 3. The remaining fraction after the division is \\(\\frac{3}{8}\\).<\/p>\n<p>Question 5.<br \/>\nWhich decimal is shown by the model?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-40.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 40\" width=\"124\" height=\"129\" \/><br \/>\nOptions:<br \/>\na. 10.0<br \/>\nb. 1.0<br \/>\nc. 0.1<br \/>\nd. 0.01<\/p>\n<p>Answer:<br \/>\nd. 0.01<\/p>\n<p>Explanation:<br \/>\n1 box is shaded out of 100. So, the fraction is 1\/100 = 0.01.<\/p>\n<p>Question 6.<br \/>\nMr. Guzman has 100 cows on his dairy farm. Of the cows, 57 are Holstein. What decimal represents the portion of cows that are Holstein?<br \/>\nOptions:<br \/>\na. 0.43<br \/>\nb. 0.57<br \/>\nc. 5.7<br \/>\nd. 57.0<\/p>\n<p>Answer:<br \/>\nb. 0.57<\/p>\n<p>Explanation:<br \/>\nMr. Guzman has 100 cows on his dairy farm. Of the cows, 57 are Holstein. So, 57\/100 Holstein cows are available.<br \/>\n57\/100 = 0.57<\/p>\n<h3><a id=\"Money_-_Page_No._521\"><\/a>Page No. 521<\/h3>\n<p>Question 1.<br \/>\nJuan has $3.43. He is buying a paint brush that costs $1.21 to paint a model race car. How much will Juan have after he pays for the paint brush?<br \/>\nFirst, use bills and coins to model $3.43.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-41.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 41\" width=\"497\" height=\"245\" \/><br \/>\nNext, you need to subtract. Remove bills and coins that have a value of $1.21. Mark Xs to show what you remove.<br \/>\nLast, count the value of the bills and coins that are left. How much will Juan have left?<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\nJuan has $3.43. He is buying a paint brush that costs $1.21 to paint a model race car. Subtract $3.43 &#8211; $1.21<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3591\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-521-300x158.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 1 521\" width=\"277\" height=\"146\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-521-300x158.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-521.jpg 628w\" sizes=\"(max-width: 277px) 100vw, 277px\" \/><br \/>\n2 dollars, 2 dimes, and 2 pennies left.<br \/>\n2 + (2 x 10\/100) + (2\/100) = 2 + 20\/100 + 2\/100 = 2 + 22\/100 = 2.22.<br \/>\nJuan has left $2.22<\/p>\n<p>Question 2.<br \/>\nWhat if Juan has $3.43, and he wants to buy a paint brush that costs $2.28? How much money will Juan have left then? Explain.<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$1.15<\/p>\n<p>Explanation:<br \/>\nJuan has $3.43. He wants to buy a paint brush that costs $2.28.<br \/>\n$3.43 &#8211; $2.28 = $1.15<\/p>\n<p>Question 3.<br \/>\nSophia has $2.25. She wants to give an equal amount to each of her 3 young cousins. How much will each cousin receive?<br \/>\n$ _____ each cousin receive<\/p>\n<p>Answer:<br \/>\n$0.75 each cousin receive<\/p>\n<p>Explanation:<br \/>\nSophia has $2.25. She wants to give an equal amount to each of her 3 young cousins.<br \/>\nDivide $2.25 with 3 = $2.25\/3 = $0.75<\/p>\n<h3><a id=\"Money_Lesson_Check_-_Page_No._522\"><\/a>Page No. 522<\/h3>\n<p>Question 4.<br \/>\nMarcus saves $13 each week. In how many weeks will he have saved at least $100?<br \/>\n_____ weeks<\/p>\n<p>Answer:<br \/>\n8 weeks<\/p>\n<p>Explanation:<br \/>\nMarcus saves $13 each week. He saves $100 in $100\/$13 weeks = 7.96 weeks that is nearly equal to 8 weeks.<\/p>\n<p>Question 5.<br \/>\nAnalyze Relationships Hoshi has $50. Emily has $23 more than Hoshi. Karl has $16 less than Emily. How much money do they have all together?<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$180<\/p>\n<p>Explanation:<br \/>\nHoshi has $50.<br \/>\nEmily has $23 more than Hoshi = $50 + $23 = $73.<br \/>\nKarl has $16 less than Emily = $73 &#8211; $16 = $57.<br \/>\nAll together = $50 +$73 + $57 = $180.<\/p>\n<p>Question 6.<br \/>\nFour girls have $5.00 to share equally. How much money will each girl get? Explain.<br \/>\n$ _____ each girl<\/p>\n<p>Answer:<br \/>\n$1.25 for each girl<\/p>\n<p>Explanation:<br \/>\nFour girls have $5.00 to share equally. So, each girl get $5.00\/4 = $1.25<\/p>\n<p>Question 7.<br \/>\nWhat if four girls want to share $5.52 equally? How much money will each girl get? Explain.<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$1.38<\/p>\n<p>Explanation:<br \/>\nFour girls have $5.52 to share equally. So, each girl get $5.52\/4 = $1.38. If the amount shares equally, each girl get 1 dollar, 1 dime, 8 pennies.<\/p>\n<p>Question 8.<br \/>\nAimee and three of her friends have three quarters and one nickel. If Aimee and her friends share the money equally, how much will each person get? Explain how you found your answer.<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$0.2<\/p>\n<p>Explanation:<br \/>\nAimee and three of her friends have three quarters and one nickel. If Aimee and her friends share the money equally. Four members shared (3 x 25\/100) + 5\/100 = 75\/100 + 5\/100 = 80\/100 = 0.8.<br \/>\nFour members shared $0.8 equally, $0.8\/4 = $0.2.<\/p>\n<h3><a id=\"Money_Lesson_Check_1_-_Page_No._523\"><\/a>Common Core &#8211; New &#8211; Page No. 523<\/h3>\n<p><strong>Problem Solving Money<\/strong><\/p>\n<p><strong>Use the act it out strategy to solve.<\/strong><\/p>\n<p>Question 1.<br \/>\nCarl wants to buy a bicycle bell that costs $4.50. Carl has saved $2.75 so far. How much more money does he need to buy the bell?<br \/>\nUse 4 $1 bills and 2 quarters to model $4.50. Remove bills and coins that have a value of $2.75. First, remove 2 $1 bills and 2 quarters.<br \/>\nNext, exchange one $1 bill for 4 quarters and remove 1 quarter.<br \/>\nCount the amount that is left. So, Carl needs to save $1.75 more.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-42.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 42\" width=\"377\" height=\"204\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-42.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 42\" width=\"377\" height=\"204\" \/><\/p>\n<p>Question 2.<br \/>\nTogether, Xavier, Yolanda, and Zachary have $4.44. If each person has the same amount, how much money does each person have?<br \/>\n$ __________<\/p>\n<p>Answer:<br \/>\n$1.11<\/p>\n<p>Explanation:<br \/>\nTogether, Xavier, Yolanda, and Zachary have $4.44. If each person has the same amount, $4.44\/4 = $1.11<\/p>\n<p>Question 3.<br \/>\nMarcus, Nan, and Olive each have $1.65 in their pockets. They decide to combine the money. How much money do they have altogether?<br \/>\n$ __________<\/p>\n<p>Answer:<br \/>\n$4.95<\/p>\n<p>Explanation:<br \/>\nMarcus, Nan, and Olive each have $1.65 in their pockets. They decide to combine the money. So, $1.65 + $1.65 + $1.65 = $4.95<\/p>\n<p>Question 4.<br \/>\nJessie saves $6 each week. In how many weeks will she have saved at least $50?<br \/>\n__________ weeks<\/p>\n<p>Answer:<br \/>\n9 weeks<\/p>\n<p>Explanation:<br \/>\nJessie saves $6 each week. To save $50, $50\/$6 = 9 weeks (approximately)<\/p>\n<p>Question 5.<br \/>\nBecca has $12 more than Cece. Dave has $3 less than Cece. Cece has $10. How much money do they have altogether?<br \/>\n$ __________<\/p>\n<p>Answer:<br \/>\n$39<\/p>\n<p>Explanation:<br \/>\nCece has $10.<br \/>\nBecca has $12 more than Cece = $10 + $12 = $22.<br \/>\nDave has $3 less than Cece = $10 &#8211; $3 = $7.<br \/>\nAll together = $10 + $22 + $7 = $39.<\/p>\n<h3><a id=\"Money_Lesson_Check_2_-_Page_No._524\"><\/a>Common Core &#8211; New &#8211; Page No. 524<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nFour friends earned $5.20 for washing a car. They shared the money equally. How much did each friend get?<br \/>\nOptions:<br \/>\na. $1.05<br \/>\nb. $1.30<br \/>\nc. $1.60<br \/>\nd. $20.80<\/p>\n<p>Answer:<br \/>\nb. $1.30<\/p>\n<p>Explanation:<br \/>\nFour friends earned $5.20 for washing a car. They shared the money equally.<br \/>\n$5.20\/4 = $1.30<\/p>\n<p>Question 2.<br \/>\nWhich represents the value of one $1 bill and 5 quarters?<br \/>\nOptions:<br \/>\na. $1.05<br \/>\nb. $1.25<br \/>\nc. $1.50<br \/>\nd. $2.25<\/p>\n<p>Answer:<br \/>\nd. $2.25<\/p>\n<p>Explanation:<br \/>\none $1 bill and 5 quarters. 5 quarters = 5 x 0.25 = 1.25.<br \/>\n$1 + $1.25 = $2.25<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nBethany has 9 pennies. What fraction of a dollar is this?<br \/>\nOptions:<br \/>\na. \\(\\frac{9}{100}\\)<br \/>\nb. \\(\\frac{9}{10}\\)<br \/>\nc. \\(\\frac{90}{100}\\)<br \/>\nd. \\(\\frac{99}{100}\\)<\/p>\n<p>Answer:<br \/>\na. \\(\\frac{9}{100}\\)<\/p>\n<p>Explanation:<br \/>\n1 dollar = 100 pennies.<br \/>\nSo, 9 pennies = 9\/100 of a dollar<\/p>\n<p>Question 4.<br \/>\nMichael made \\(\\frac{9}{12}\\) of his free throws at practice. What is \\(\\frac{9}{12}\\) in simplest form?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{4}\\)<br \/>\nb. \\(\\frac{3}{9}\\)<br \/>\nc. \\(\\frac{1}{2}\\)<br \/>\nd. \\(\\frac{3}{4}\\)<\/p>\n<p>Answer:<br \/>\nd. \\(\\frac{3}{4}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{9}{12}\\) is divided by 3 that is equal to d. \\(\\frac{3}{4}\\).<\/p>\n<p>Question 5.<br \/>\nI am a prime number between 30 and 40. Which number could I be?<br \/>\nOptions:<br \/>\na. 31<br \/>\nb. 33<br \/>\nc. 36<br \/>\nd. 39<\/p>\n<p>Answer:<br \/>\na. 31<\/p>\n<p>Explanation:<br \/>\n31 has fractions 1 and 31.<\/p>\n<p>Question 6.<br \/>\nGeorgette is using the benchmark \\(\\frac{1}{2}\\) to compare fractions. Which statement is correct?<br \/>\nOptions:<br \/>\na. \\(\\frac{3}{8}&gt;\\frac{1}{2}\\)<br \/>\nb. \\(\\frac{2}{5}&lt;\\frac{1}{2}\\)<br \/>\nc. \\(\\frac{7}{12}&lt;\\frac{1}{2}\\)<br \/>\nd. \\(\\frac{9}{10}=\\frac{1}{2}\\)<\/p>\n<p>Answer:<br \/>\nb. \\(\\frac{2}{5}&lt;\\frac{1}{2}\\)<\/p>\n<p>Explanation:<br \/>\nFrom the given details, \\(\\frac{2}{5}&lt;\\frac{1}{2}\\) is the correct answer.<\/p>\n<h3><a id=\"Mid-Chapter_Checkpoint_-_Page_No._525\"><\/a>Page No. 525<\/h3>\n<p><strong>Choose the best term from the box to complete the sentence.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-43.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 43\" width=\"216\" height=\"184\" \/><\/p>\n<p>Question 1.<br \/>\nA symbol used to separate the ones and the tenths place is called a __________.<br \/>\n__________<\/p>\n<p>Answer:<br \/>\ndecimal point<\/p>\n<p>Question 2.<br \/>\nThe number 0.4 is written as a ____________.<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n4 tenths or 40 hundredths<\/p>\n<p>Question 3.<br \/>\nA ______________ is one of one hundred equal parts of a whole.<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nhundredth<\/p>\n<p><strong>Write the fraction or mixed number and the decimal shown by the model.<\/strong><\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-44.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 44\" width=\"110\" height=\"109\" \/><br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{4}{10}\\) = 0.4<\/p>\n<p>Explanation:<br \/>\nFrom the given model, 4 boxes are shaded out of 10 boxes. So, the fraction is \\(\\frac{4}{10}\\) = 0.4<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-45.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 45\" width=\"299\" height=\"111\" \/><br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\n1\\(\\frac{3}{100}\\) = 1.03<\/p>\n<p>Explanation:<br \/>\nThe model is divided into 100 equal parts. Each part represents the one-hundredth.<br \/>\n1\\(\\frac{3}{100}\\) is 1 whole and 3 hundredths.<\/p>\n<p><strong>Write the number as hundredths in fraction form and decimal form.<\/strong><\/p>\n<p>Question 6.<br \/>\n\\(\\frac{8}{10}\\)<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{80}{100}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3491\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-509-300x76.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 5 509\" width=\"209\" height=\"53\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-509-300x76.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-509.jpg 692w\" sizes=\"(max-width: 209px) 100vw, 209px\" \/><br \/>\n0.80<\/p>\n<p>Explanation:<br \/>\nWrite \\(\\frac{8}{10}\\) as an equivalent fraction.<br \/>\n\\(\\frac{8}{10}\\) =\\(\\frac{8 \u00d7 10}{10\u00d7 10}\\) = \\(\\frac{80}{100}\\)<br \/>\n8 tenths is the same as 8 tenths 0 hundredths. So the decimal form = 0.80<\/p>\n<p>Question 7.<br \/>\n0.5<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{50}{100}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3479\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-509-300x79.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 3 509\" width=\"251\" height=\"66\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-509-300x79.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-509.jpg 692w\" sizes=\"(max-width: 251px) 100vw, 251px\" \/><br \/>\n0.50<\/p>\n<p>Explanation:<br \/>\nWrite 0.5 = \\(\\frac{5}{10}\\) as an equivalent fraction.<br \/>\n\\(\\frac{5}{10}\\) =\\(\\frac{5 \u00d7 10}{10\u00d7 10}\\) = \\(\\frac{50}{100}\\)<br \/>\n5 tenths is the same as 5 tenths 0 hundredths and also 0.50<\/p>\n<p>Question 8.<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\nb. \\(\\frac{2}{5}&lt;\\frac{1}{2}\\)<\/p>\n<p>Explanation:<\/p>\n<p><strong>Write the fraction or mixed number as a money amount, and as a decimal in terms of dollars.<\/strong><\/p>\n<p>Question 9.<br \/>\n\\(\\frac{95}{100}\\)<br \/>\namount: $ _____ decimal: _____ of a dollar<\/p>\n<p>Answer:<br \/>\namount: $0.95; decimal: 0.95<\/p>\n<p>Explanation:<br \/>\nWrite down 95 with the decimal point 2 spaces from the right (because 100 has 2 zeros)<\/p>\n<p>Question 10.<br \/>\n1 \\(\\frac{48}{100}\\)<br \/>\namount: $ _____ decimal: _____ of a dollar<\/p>\n<p>Answer:<br \/>\namount: $1.48; decimal: 1.48<\/p>\n<p>Explanation:<br \/>\n1\\(\\frac{48}{100}\\) = \\(\\frac{148}{100}\\)<br \/>\nWrite down 148 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, 1.48 is the answer<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{4}{100}\\)<br \/>\namount: $ _____ decimal: _____ of a dollar<\/p>\n<p>Answer:<br \/>\namount: $0.04; decimal: 0.04<\/p>\n<p>Explanation:<br \/>\nWrite down 4 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, the answer is 0.04<\/p>\n<h3><a id=\"Mid-Chapter_Checkpoint_Lesson_Check_-_Page_No._526\"><\/a>Page No. 526<\/h3>\n<p>Question 12.<br \/>\nKen&#8217;s turtle competed in a 0.50-meter race. His turtle had traveled \\(\\frac{4}{100}\\)<br \/>\nmeter when the winning turtle crossed the finish line. What is \\(\\frac{4}{100}\\) written as a decimal?<br \/>\n_____<\/p>\n<p>Answer:<br \/>\ndecimal: 0.04<\/p>\n<p>Explanation:<br \/>\nWrite down 4 with the decimal point 2 spaces from the right (because 100 has 2 zeros). So, the answer is 0.04<\/p>\n<p>Question 13.<br \/>\nAlex lives eight tenths of a mile from Sarah. What is eight tenths written as a decimal?<br \/>\n_____<\/p>\n<p>Answer:<br \/>\ndecimal: 0.8<\/p>\n<p>Explanation:<br \/>\nWrite down 8 with the decimal point 1 space from the right (because 100 has 1 zero). The decimal value of eight tenths is 0.8<\/p>\n<p>Question 14.<br \/>\nWhat fraction and decimal, in hundredths, is equivalent to \\(\\frac{7}{10}\\)?<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{7 x 10}{10 x 10}\\) = 0.70<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{7}{10}\\) = \\(\\frac{7 x 10}{10 x 10}\\) = 0.70<\/p>\n<p>Question 15.<br \/>\nElaine found the following in her pocket. How much money was in her pocket?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-46.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 46\" width=\"312\" height=\"84\" \/><br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$\\(\\frac{140}{100}\\)<\/p>\n<p>Explanation:<br \/>\nGiven that 1 dollar, 1 quarter, 1 dime, 1 Nickel.<br \/>\n1 + 25\/100 + 10\/100 + 5\/100 = 1 + 40\/100 = 140\/100<\/p>\n<p>Question 16.<br \/>\nThree girls share $0.60. Each girl gets the same amount. How much money does each girl get?<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$0.20<\/p>\n<p>Explanation:<br \/>\nThree girls share $0.60. Each girl gets the same amount. So, $0.60\/3 = $0.20<\/p>\n<p>Question 17.<br \/>\nThe deli scale weighs meat and cheese in hundredths of a pound. Sam put \\(\\frac{5}{10}\\) pound of pepperoni on the deli scale. What weight does the deli scale show?<br \/>\n_____ hundredths<\/p>\n<p>Answer:<br \/>\n50 hundredths<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{5}{10}\\) = \\(\\frac{5 x 10}{10 x 10}\\) = \\(\\frac{50}{100}\\).<br \/>\n\\(\\frac{50}{100}\\) written as 50 hundredths.<\/p>\n<h3><a id=\"Add_Fraction_Parts_of_10_and_100_-_Page_No._529\"><\/a>Page No. 529<\/h3>\n<p>Question 1.<br \/>\nFind \\(\\frac{7}{10}+\\frac{5}{100}\\)<br \/>\nThink: Write the addends as fractions with a common denominator.<br \/>\n\\(\\frac{\u25a0}{100}\\) + \\(\\frac{\u25a0}{100}\\) = \\(\\frac{\u25a0}{\u25a0}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{75}{100}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{7}{10}+\\frac{5}{100}\\).<br \/>\nWrite the addends as fractions with a common denominator<br \/>\n\\(\\frac{7}{10}\\) = \\(\\frac{7 X 10}{10 X 10}\\) = \\(\\frac{70}{100}\\).<br \/>\n\\(\\frac{70}{100}+\\frac{5}{100}\\) = \\(\\frac{75}{100}\\)<\/p>\n<p><strong>Find the sum.<\/strong><\/p>\n<p>Question 2.<br \/>\n\\(\\frac{1}{10}+\\frac{11}{100}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{21}{100}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{10}+\\frac{11}{100}\\).<br \/>\nWrite the addends as fractions with a common denominator<br \/>\n\\(\\frac{1}{10}\\) = \\(\\frac{1 X 10}{10 X 10}\\) = \\(\\frac{10}{100}\\).<br \/>\n\\(\\frac{10}{100}+\\frac{11}{100}\\) = \\(\\frac{21}{100}\\)<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{36}{100}+\\frac{5}{10}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{86}{100}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{36}{100}+\\frac{5}{10}\\).<br \/>\nWrite the addends as fractions with a common denominator<br \/>\n\\(\\frac{5}{10}\\) = \\(\\frac{5 X 10}{10 X 10}\\) = \\(\\frac{50}{100}\\).<br \/>\n\\(\\frac{36}{100}+\\frac{50}{100}\\) = \\(\\frac{86}{100}\\).<\/p>\n<p>Question 4.<br \/>\n$0.16 + $0.45 = $ _____<\/p>\n<p>Answer:<br \/>\n$0.61<\/p>\n<p>Explanation:<br \/>\nThink 0.16 as 16 hundredths = \\(\\frac{16}{100}\\).<br \/>\nThink 0.45 as 45 hundredths = \\(\\frac{45}{100}\\).<br \/>\nWrite the addends as fractions with a common denominator<br \/>\n\\(\\frac{16}{100}\\) + \\(\\frac{45}{100}\\) = \\(\\frac{61}{100}\\) = 0.61<\/p>\n<p>Question 5.<br \/>\n$0.08 + $0.88 = $ _____<\/p>\n<p>Answer:<br \/>\n$0.96<\/p>\n<p>Explanation:<br \/>\nThink 0.08 as 8 hundredths = \\(\\frac{8}{100}\\).<br \/>\nThink 0.88 as 88 hundredths = \\(\\frac{88}{100}\\).<br \/>\nWrite the addends as fractions with a common denominator.<br \/>\n\\(\\frac{8}{100}\\) + \\(\\frac{88}{100}\\) = \\(\\frac{96}{100}\\) = 0.96<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{6}{10}+\\frac{25}{100}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{85}{100}[\/latex<\/p>\n<p>Explanation:<br \/>\n[latex]\\frac{6}{10}+\\frac{25}{100}\\)<br \/>\nWrite the addends as fractions with a common denominator.<br \/>\n\\(\\frac{6}{10}\\) = \\(\\frac{6 X 10}{10 X 10}\\) = \\(\\frac{60}{100}\\).<br \/>\n\\(\\frac{60}{100}+\\frac{25}{100}\\) = \\(\\frac{85}{100}\\).<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{7}{10}+\\frac{7}{100}\\) = \\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n50 hundredths<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{7}{10}+\\frac{7}{100}\\)<br \/>\nWrite the addends as fractions with a common denominator.<br \/>\n\\(\\frac{7}{10}\\) = \\(\\frac{7 X 10}{10 X 10}\\) = \\(\\frac{70}{100}\\).<br \/>\n\\(\\frac{70}{100}+\\frac{7}{100}\\) = \\(\\frac{77}{100}\\).<\/p>\n<p>Question 8.<br \/>\n$0.55 + $0.23 = $ _____<\/p>\n<p>Answer:<br \/>\n$0.78<\/p>\n<p>Explanation:<br \/>\nThink 0.55 as 55 hundredths = \\(\\frac{55}{100}\\).<br \/>\nThink 0.23 as 23 hundredths = \\(\\frac{23}{100}\\).<br \/>\nWrite the addends as fractions with a common denominator.<br \/>\n\\(\\frac{55}{100}\\) + \\(\\frac{23}{100}\\) = \\(\\frac{78}{100}\\) = 0.78.<\/p>\n<p>Question 9.<br \/>\n$0.19 + $0.13 = $ _____<\/p>\n<p>Answer:<br \/>\n$0.32<\/p>\n<p>Explanation:<br \/>\nThink 0.19 as 19 hundredths = \\(\\frac{19}{100}\\).<br \/>\nThink 0.13 as 13 hundredths = \\(\\frac{13}{100}\\).<br \/>\nWrite the addends as fractions with a common denominator.<br \/>\n\\(\\frac{19}{100}\\) + \\(\\frac{13}{100}\\) = \\(\\frac{32}{100}\\) = 0.32.<\/p>\n<p><strong>Reason Quantitatively Algebra Write the number that makes the equation true.<\/strong><\/p>\n<p>Question 10.<br \/>\n\\(\\frac{20}{100}+\\frac{\u25a0}{10}\\) = \\(\\frac{60}{100}\\)<br \/>\n\u25a0 = _____<\/p>\n<p>Answer:<br \/>\n\u25a0 = 4<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{20}{100}+\\frac{\u25a0}{10}\\) = \\(\\frac{60}{100}\\).<br \/>\nLet the unknown number = s.<br \/>\nIf s = 4,<br \/>\n\\(\\frac{20}{100}+\\frac{4}{10}\\).<br \/>\nWrite the addends as fractions with a common denominator.<br \/>\n\\(\\frac{4}{10}\\) = \\(\\frac{4 X 10}{10 X 10}\\) = \\(\\frac{40}{100}\\).<br \/>\n\\(\\frac{20}{100}+\\frac{40}{100}\\) = \\(\\frac{60}{100}\\).<br \/>\nSo, the unknown number is 4.<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{2}{10}+\\frac{\u25a0}{100}\\) = \\(\\frac{90}{100}\\)<br \/>\n\u25a0 = _____<\/p>\n<p>Answer:<br \/>\n\u25a0 = 70<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{10}+\\frac{\u25a0}{100}\\) = \\(\\frac{90}{100}\\).<br \/>\nLet the unknown number = s.<br \/>\nIf s = 70,<br \/>\n\\(\\frac{2}{10}+\\frac{7}{100}\\).<br \/>\nWrite the addends as fractions with a common denominator.<br \/>\n\\(\\frac{2}{10}\\) = \\(\\frac{2 X 10}{10 X 10}\\) = \\(\\frac{20}{100}\\).<br \/>\n\\(\\frac{20}{100}+\\frac{70}{100}\\) = \\(\\frac{90}{100}\\).<br \/>\nSo, the unknown number is 70.<\/p>\n<p>Question 12.<br \/>\nJerry had 1 gallon of ice cream. He used \\(\\frac{3}{10}\\) gallon to make chocolate milkshakes and 0.40 gallon to make vanilla milkshakes. How much ice cream does Jerry have left after making the milkshakes?<br \/>\n_____ gallon<\/p>\n<p>Answer:<br \/>\n0.30 gallon<\/p>\n<p>Explanation:<br \/>\nJerry had 1 gallon of ice cream. He used \\(\\frac{3}{10}\\) gallon to make chocolate milkshakes and 0.40 gallon to make vanilla milkshakes.<br \/>\nSo, write 0.40 as \\(\\frac{40}{100}\\) gallon.<br \/>\nShe used \\(\\frac{3}{10}\\) + \\(\\frac{40}{100}\\).<br \/>\n\\(\\frac{3}{10}\\) = \\(\\frac{3 X 10}{10 X 10}\\) = \\(\\frac{30}{100}\\).<br \/>\n\\(\\frac{30}{100}\\) + \\(\\frac{40}{100}\\) = \\(\\frac{70}{100}\\)<br \/>\nJerry have left 1 &#8211; \\(\\frac{70}{100}\\) = \\(\\frac{30}{100}\\) = 0.30 gallon<\/p>\n<h3><a id=\"Add_Fraction_Parts_of_10_and_100_Lesson_Check_-_Page_No._530\"><\/a>Page No. 530<\/h3>\n<p><strong>Use the table for 13\u221216.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-47.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 47\" width=\"293\" height=\"247\" \/><\/p>\n<p>Question 13.<br \/>\nDean selects Teakwood stones and Buckskin stones to pave a path in front of his house. How many meters long will each set of one Teakwood stone and one Buckskin stone be?<br \/>\n_____ meter<\/p>\n<p>Answer:<br \/>\n\\(\\frac{71}{100}\\) meter<\/p>\n<p>Explanation:<br \/>\nDean selects Teakwood stones and Buckskin stones to pave a path in front of his house.<br \/>\nTeakwood stone and one Buckskin stone = \\(\\frac{3}{10}\\) + \\(\\frac{41}{100}\\).<br \/>\nWrite the addends as fractions with a common denominator.<br \/>\n\\(\\frac{3}{10}\\) = \\(\\frac{3 X 10}{10 X 10}\\) = \\(\\frac{30}{100}\\).<br \/>\n\\(\\frac{30}{100}\\) + \\(\\frac{41}{100}\\) = \\(\\frac{71}{100}\\)<\/p>\n<p>Question 14.<br \/>\nThe backyard patio at Nona\u2019s house is made from a repeating pattern of one Rose stone and one Rainbow stone. How many meters long is each pair of stones?<br \/>\n_____ meter<\/p>\n<p>Answer:<br \/>\n\\(\\frac{68}{100}\\) meter<\/p>\n<p>Explanation:<br \/>\nThe backyard patio at Nona\u2019s house is made from a repeating pattern of one Rose stone and one Rainbow stone.<br \/>\nEach pair of stone = \\(\\frac{8}{100}\\) + \\(\\frac{6}{10}\\).<br \/>\n\\(\\frac{6}{10}\\) = \\(\\frac{6 X 10}{10 X 10}\\) = \\(\\frac{60}{100}\\).<br \/>\nEach pair of stone = \\(\\frac{8}{100}\\) + \\(\\frac{60}{100}\\) = \\(\\frac{68}{100}\\).<\/p>\n<p>Question 15.<br \/>\nFor a stone path, Emily likes the look of a Rustic stone, then a Rainbow stone, and then another Rustic stone. How long will the three stones in a row be? Explain.<br \/>\n_____ meter<\/p>\n<p>Answer:<br \/>\n\\(\\frac{90}{100}\\) meter<\/p>\n<p>Explanation:<br \/>\nFor a stone path, Emily likes the look of a Rustic stone, then a Rainbow stone, and then another Rustic stone. If three stones in a row, then<br \/>\n\\(\\frac{15}{100}\\) + \\(\\frac{6}{10}\\) + \\(\\frac{15}{100}\\).<br \/>\n\\(\\frac{30}{100}\\) + \\(\\frac{6}{10}\\).<br \/>\n\\(\\frac{6}{10}\\) = \\(\\frac{6 X 10}{10 X 10}\\) = \\(\\frac{60}{100}\\).<br \/>\n\\(\\frac{30}{100}\\) + \\(\\frac{60}{100}\\) = \\(\\frac{90}{100}\\).<\/p>\n<p>Question 16.<br \/>\nWhich two stones can you place end-to-end to get a length of 0.38 meter? Explain how you found your answer.<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\nIf you add Teakwood stones and Rose stones, then you get a length of 0.38 meter.<br \/>\n\\(\\frac{3}{10}\\) + \\(\\frac{8}{100}\\).<br \/>\n\\(\\frac{3}{10}\\) = \\(\\frac{3 X 10}{10 X 10}\\) = \\(\\frac{30}{100}\\).<br \/>\n\\(\\frac{30}{100}\\) + \\(\\frac{8}{100}\\) = latex]\\frac{38}{100}[\/latex] = 0.38.<br \/>\nIf you add any other two stones, the answer will not equal to 0.38.<\/p>\n<p>Question 17.<br \/>\nChristelle is making a dollhouse. The dollhouse is \\(\\frac{6}{10}\\) meter tall without the roof. The roof is \\(\\frac{15}{100}\\) meter high. What is the height of the dollhouse with the roof? Choose a number from each column to complete an equation to solve.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-48.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 48\" width=\"363\" height=\"130\" \/><br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) meter<\/p>\n<p>Answer:<br \/>\n\\(\\frac{60}{100}\\) + \\(\\frac{15}{100}\\) = \\(\\frac{75}{100}\\) meter<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{6}{10}\\) + \\(\\frac{15}{100}\\).<br \/>\n\\(\\frac{6}{10}\\) = \\(\\frac{6 X 10}{10 X 10}\\) = \\(\\frac{60}{100}\\).<br \/>\n\\(\\frac{60}{100}\\) + \\(\\frac{15}{100}\\) = \\(\\frac{75}{100}\\).<\/p>\n<h3><a id=\"Add_Fraction_Parts_of_10_and_100_Lesson_Check_1_-_Page_No._531\"><\/a>Common Core &#8211; New &#8211; Page No. 531<\/h3>\n<p><strong>Add Fractional Parts of 10 and 100<\/strong><\/p>\n<p><strong>Find the sum.<\/strong><\/p>\n<p>Question 1.<br \/>\n\\(\\frac{2}{10}+\\frac{43}{100}\\) Think: Write \\(\\frac{2}{10}\\) as a fraction with a denominator of 100: \\(\\frac{2 \\times 10}{10 \\times 10}=\\frac{20}{100}\\)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-49.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 49\" width=\"219\" height=\"156\" \/><\/p>\n<p>Answer:<br \/>\n\\(\\frac{63}{100}\\)<\/p>\n<p>Explanation:<br \/>\nThink: Write \\(\\frac{2}{10}\\) as a fraction with a denominator of 100: \\(\\frac{2 \\times 10}{10 \\times 10}=\\frac{20}{100}\\)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-49.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 49\" width=\"219\" height=\"156\" \/><\/p>\n<p>Question 2.<br \/>\n\\(\\frac{17}{100}+\\frac{6}{10}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{77}{100}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{17}{100}+\\frac{6}{10}\\).<br \/>\n\\(\\frac{6 \\times 10}{10 \\times 10}=\\frac{60}{100}\\)<br \/>\n\\(\\frac{17}{100}+\\frac{60}{100}\\) = \\(\\frac{77}{100}\\)<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{9}{100}+\\frac{4}{10}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{49}{100}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{9}{100}+\\frac{4}{10}\\).<br \/>\n\\(\\frac{4 \\times 10}{10 \\times 10}=\\frac{40}{100}\\)<br \/>\n\\(\\frac{9}{100}+\\frac{40}{100}\\) = \\(\\frac{49}{100}\\)<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{7}{10}+\\frac{23}{100}\\)<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{93}{100}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{7}{10}+\\frac{23}{100}\\).<br \/>\n\\(\\frac{7 \\times 10}{10 \\times 10}=\\frac{70}{100}\\)<br \/>\n\\(\\frac{70}{100}+\\frac{23}{100}\\) = \\(\\frac{93}{100}\\)<\/p>\n<p>Question 5.<br \/>\n$0.48 + $0.30<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$0.78<\/p>\n<p>Explanation:<br \/>\nThink $0.48 as \\(\\frac{48}{100}\\).<br \/>\nThink $0.30 as \\(\\frac{30}{100}\\).<br \/>\n\\(\\frac{48}{100}+\\frac{30}{100}\\) = \\(\\frac{78}{100}\\) = $0.78<\/p>\n<p>Question 6.<br \/>\n$0.25 + $0.34<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$0.59<\/p>\n<p>Explanation:<br \/>\nThink $0.25 as \\(\\frac{25}{100}\\).<br \/>\nThink $0.34 as \\(\\frac{34}{100}\\).<br \/>\n\\(\\frac{25}{100}+\\frac{34}{100}\\) = \\(\\frac{59}{100}\\) = $0.59<\/p>\n<p>Question 7.<br \/>\n$0.66 + $0.06<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$0.72<\/p>\n<p>Explanation:<br \/>\nThink $0.66 as \\(\\frac{66}{100}\\).<br \/>\nThink $0.06 as \\(\\frac{6}{100}\\).<br \/>\n\\(\\frac{66}{100}+\\frac{6}{100}\\) = \\(\\frac{72}{100}\\) = $0.72<\/p>\n<p><em><strong>Problem Solving<\/strong><\/em><\/p>\n<p>Question 8.<br \/>\nNed\u2019s frog jumped \\(\\frac{38}{100}\\) meter. Then his frog jumped \\(\\frac{4}{10}\\) meter. How far did Ned\u2019s frog jump in all?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{78}{100}\\) meter<\/p>\n<p>Explanation:<br \/>\nNed\u2019s frog jumped \\(\\frac{38}{100}\\) meter. Then his frog jumped \\(\\frac{4}{10}\\) meter.<br \/>\nSo, together \\(\\frac{38}{100}\\) + \\(\\frac{4}{10}\\) jumped.<br \/>\n\\(\\frac{4}{10}\\) = \\(\\frac{4 \\times 10}{10 \\times 10}=\\frac{40}{100}\\).<br \/>\n\\(\\frac{38}{100}\\) + \\(\\frac{40}{100}\\) = \\(\\frac{78}{100}\\).<\/p>\n<p>Question 9.<br \/>\nKeiko walks \\(\\frac{5}{10}\\) kilometer from school to the park. Then she walks \\(\\frac{19}{100}\\) kilometer from the park to her home. How far does Keiko walk in all?<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{69}{100}\\) kilometer<\/p>\n<p>Explanation:<br \/>\nKeiko walks \\(\\frac{5}{10}\\) kilometer from school to the park. Then she walks \\(\\frac{19}{100}\\) kilometer from the park to her home.<br \/>\nTotal = \\(\\frac{5}{10}\\) + \\(\\frac{19}{100}\\) kilometer.<br \/>\n\\(\\frac{5}{10}\\) = \\(\\frac{5 \\times 10}{10 \\times 10}=\\frac{50}{100}\\).<br \/>\n\\(\\frac{50}{100}\\) + \\(\\frac{19}{100}\\) = \\(\\frac{69}{100}\\).<\/p>\n<h3><a id=\"Add_Fraction_Parts_of_10_and_100_Lesson_Check_2_-_Page_No._532\"><\/a>Common Core &#8211; New &#8211; Page No. 532<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nIn a fish tank, \\(\\frac{2}{10}\\) of the fish were orange and \\(\\frac{5}{100}\\) of the fish were striped. What fraction of the fish were orange or striped?<br \/>\nOptions:<br \/>\na. \\(\\frac{7}{10}\\)<br \/>\nb. \\(\\frac{52}{100}\\)<br \/>\nc. \\(\\frac{25}{100}\\)<br \/>\nd. \\(\\frac{7}{100}\\)<\/p>\n<p>Answer:<br \/>\nc. \\(\\frac{25}{100}\\)<\/p>\n<p>Explanation:<br \/>\nIn a fish tank, \\(\\frac{2}{10}\\) of the fish were orange and \\(\\frac{5}{100}\\) of the fish were striped.<br \/>\nTo find the raction of the fish were orange or striped Add \\(\\frac{2}{10}\\) and \\(\\frac{5}{100}\\).<br \/>\n\\(\\frac{2}{10}\\) = \\(\\frac{2 \\times 10}{10 \\times 10}=\\frac{20}{100}\\).<br \/>\n\\(\\frac{20}{100}\\) + \\(\\frac{5}{100}\\) = \\(\\frac{25}{100}\\).<\/p>\n<p>Question 2.<br \/>\nGreg spends $0.45 on an eraser and $0.30 on a pen. How much money does Greg spend in all?<br \/>\nOptions:<br \/>\na. $3.45<br \/>\nb. $0.75<br \/>\nc. $0.48<br \/>\nd. $0.15<\/p>\n<p>Answer:<br \/>\nb. $0.75<\/p>\n<p>Explanation:<br \/>\nThink $0.45 as \\(\\frac{45}{100}\\).<br \/>\nThink $0.30 as \\(\\frac{30}{100}\\).<br \/>\n\\(\\frac{45}{100}+\\frac{30}{100}\\) = \\(\\frac{75}{100}\\) = $0.75.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nPhillip saves $8 each month. How many months will it take him to save at least $60?<br \/>\nOptions:<br \/>\na. 6 months<br \/>\nb. 7 months<br \/>\nc. 8 months<br \/>\nd. 9 months<\/p>\n<p>Answer:<br \/>\nc. 8 months<\/p>\n<p>Explanation:<br \/>\nPhillip saves $8 each month.<br \/>\nTo save at least $60, \\(\\frac{60}{8}\\) = 8 months (approximately)<\/p>\n<p>Question 4.<br \/>\nUrsula and Yi share a submarine sandwich. Ursula eats \\(\\frac{2}{8}\\) of the sandwich. Yi eats \\(\\frac{3}{8}\\) of the sandwich. How much of the sandwich do the two friends eat?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{8}\\)<br \/>\nb. \\(\\frac{4}{8}\\)<br \/>\nc. \\(\\frac{5}{8}\\)<br \/>\nd. \\(\\frac{6}{8}\\)<\/p>\n<p>Answer:<br \/>\nc. \\(\\frac{5}{8}\\)<\/p>\n<p>Explanation:<br \/>\nUrsula and Yi share a submarine sandwich. Ursula eats \\(\\frac{2}{8}\\) of the sandwich. Yi eats \\(\\frac{3}{8}\\) of the sandwich.<br \/>\nTwo friends eat \\(\\frac{2}{8}\\) + \\(\\frac{3}{8}\\) = \\(\\frac{5}{8}\\)<\/p>\n<p>Question 5.<br \/>\nA carpenter has a board that is 8 feet long. He cuts off two pieces. One piece is 3 \\(\\frac{1}{2}\\) feet long and the other is 2 \\(\\frac{1}{3}\\) feet long. How much of the board is left?<br \/>\nOptions:<br \/>\na. 2 \\(\\frac{1}{6}\\)<br \/>\nb. 2 \\(\\frac{5}{6}\\)<br \/>\nc. 3 \\(\\frac{1}{6}\\)<br \/>\nd. 3 \\(\\frac{5}{6}\\)<\/p>\n<p>Answer:<br \/>\na. 2 \\(\\frac{1}{6}\\)<\/p>\n<p>Explanation:<br \/>\n3 \\(\\frac{1}{2}\\) = \\(\\frac{7}{2}\\).<br \/>\n2 \\(\\frac{1}{3}\\) = \\(\\frac{7}{3}\\).<br \/>\nA carpenter has a board that is 8 feet long. He cuts off two pieces. One piece is 3 \\(\\frac{1}{2}\\) feet long and the other is 2 \\(\\frac{1}{3}\\) feet long.<br \/>\n\\(\\frac{7}{2}\\) + \\(\\frac{7}{3}\\) = \\(\\frac{7 \\times 3}{2\\times 3} + [latex]\\frac{7 \\times 2}{3\\times 2} = [latex]\\frac{21}{6}\\) + \\(\\frac{14}{6}\\) = \\(\\frac{35}{6}\\) = 5\\(\\frac{5}{6}\\).<br \/>\nHe left 8 &#8211; 5\\(\\frac{5}{6}\\).<br \/>\n7\\(\\frac{6}{6}\\) &#8211; 5\\(\\frac{5}{6}\\) = 2\\(\\frac{1}{6}\\)<\/p>\n<p>Question 6.<br \/>\nJeff drinks \\(\\frac{2}{3}\\) of a glass of juice. Which fraction is equivalent to \\(\\frac{2}{3}\\)?<br \/>\nOptions:<br \/>\na. \\(\\frac{1}{3}\\)<br \/>\nb. \\(\\frac{3}{2}\\)<br \/>\nc. \\(\\frac{3}{6}\\)<br \/>\nd. \\(\\frac{8}{12}\\)<\/p>\n<p>Answer:<br \/>\nd. \\(\\frac{8}{12}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{8}{12}\\) is divided by 4. So, \\(\\frac{8}{12}\\) = \\(\\frac{2}{3}\\).<\/p>\n<h3><a id=\"Compare_Decimals_-_Page_No._535\"><\/a>Page No. 535<\/h3>\n<p>Question 1.<br \/>\nCompare 0.39 and 0.42. Write &lt;, &gt;, or =.<br \/>\nShade the model to help.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-50.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 50\" width=\"317\" height=\"129\" \/><br \/>\n0.39 ____ 0.42<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-3714\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-535-300x132.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 1 535\" width=\"300\" height=\"132\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-535-300x132.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-535.jpg 734w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n0.39 &lt; 0.42<\/p>\n<p><strong>Compare. Write &lt;, &gt;, or =.<\/strong><\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-51.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 51\" width=\"231\" height=\"88\" \/><br \/>\n0.26 ____ 0.23<\/p>\n<p>Answer:<br \/>\n0.26 &gt; 0.23<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3722\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-535-300x118.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 2 535\" width=\"242\" height=\"95\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-535-300x118.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-535.jpg 587w\" sizes=\"(max-width: 242px) 100vw, 242px\" \/><br \/>\nThe digits in the one&#8217;s and tenths place are the same. Compare the digits in the hundredths place. 6 &gt; 3. So, 0.26 &gt; 0.23.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-52.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 52\" width=\"231\" height=\"88\" \/><br \/>\n0.7 ____ 0.54<\/p>\n<p>Answer:<br \/>\n0.7 &gt; 0.54<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3726\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-535-300x112.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 3 535\" width=\"252\" height=\"94\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-535-300x112.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-535.jpg 581w\" sizes=\"(max-width: 252px) 100vw, 252px\" \/><br \/>\nThe digits in the ones place are the same. Compare the digits in the tenths place. 0.7 = 0.70. 7 &gt; 5. So, 0.70 &gt; 0.54.<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-53.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 53\" width=\"231\" height=\"88\" \/><br \/>\n1.15 ____ 1.3<\/p>\n<p>Answer:<br \/>\n1.15 &lt; 1.3<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3730\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-4-535-300x109.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 4 535\" width=\"272\" height=\"99\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-4-535-300x109.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-4-535.jpg 582w\" sizes=\"(max-width: 272px) 100vw, 272px\" \/><br \/>\nThe digits in the ones place are the same. Compare the digits in the tenths place. 1 &lt; 3. So, 1.15 &lt; 1.3<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-54.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 54\" width=\"231\" height=\"88\" \/><br \/>\n4.5 ____ 2.89<\/p>\n<p>Answer:<br \/>\n4.5 &gt; 2.89<\/p>\n<p>Explanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3732\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-535-300x115.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 5 535\" width=\"243\" height=\"93\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-535-300x115.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-5-535.jpg 582w\" sizes=\"(max-width: 243px) 100vw, 243px\" \/><br \/>\nCompare one&#8217;s digits. 4 &gt; 2 . So, 4.5 &gt; 2.89<\/p>\n<p><strong>Compare. Write &lt;, &gt;, or =.<\/strong><\/p>\n<p>Question 6.<br \/>\n0.9 ____ 0.81<\/p>\n<p>Answer:<br \/>\n0.9 &gt; 0.81<\/p>\n<p>Explanation:<br \/>\n0.9 is 9 tenths, which is equivalent to 90 hundredths.<br \/>\n0.81 is 81 hundredths.<br \/>\n90 hundredths &gt; 81 hundredths. So, 0.9 &gt; 0.81.<\/p>\n<p>Question 7.<br \/>\n1.06 ____ 0.6<\/p>\n<p>Answer:<br \/>\n1.06 &gt; 0.6<\/p>\n<p>Explanation:<br \/>\n1.06 is 106 hundredths.<br \/>\n0.6 is 6 tenths, which is equivalent to 60 hundredths.<br \/>\n106 hundredths &gt; 60 hundredths. So, 1.06 &gt; 0.6.<\/p>\n<p>Question 8.<br \/>\n0.25 ____ 0.3<\/p>\n<p>Answer:<br \/>\n0.25 &lt; 0.3<\/p>\n<p>Explanation:<br \/>\n0.25 is 25 hundredths.<br \/>\n0.3 is 3 tenths, which is equivalent to 30 hundredths.<br \/>\n25 hundredths &lt; 30 hundredths. So, 0.25 &lt; 0.3.<\/p>\n<p>Question 9.<br \/>\n2.61 ____ 3.29<\/p>\n<p>Answer:<br \/>\n2.61 &lt; 3.29<\/p>\n<p>Explanation:<br \/>\n2.61 is 261 hundredths.<br \/>\n3.29 is 329 hundredths.<br \/>\n261 hundredths &lt; 329 hundredths. So, 2.61 &lt; 3.29.<\/p>\n<p><strong>Reason Quantitatively Compare. Write &lt;, &gt;, or =.<\/strong><\/p>\n<p>Question 10.<br \/>\n0.30 ____ \\(\\frac{3}{10}\\)<\/p>\n<p>Answer:<br \/>\n0.30 = \\(\\frac{3}{10}\\)<\/p>\n<p>Explanation:<br \/>\n0.30 is 30 hundredths.<br \/>\n\\(\\frac{3}{10}\\) is 3 tenths, which is equal to 30 hundredths.<br \/>\n30 hundredths = 30 hundredths. So, 0.30 = \\(\\frac{3}{10}\\).<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{4}{100}\\) ____ 0.2<\/p>\n<p>Answer:<br \/>\n\\(\\frac{4}{100}\\) &lt; 0.2<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{4}{100}\\) is 4 hundredths.<br \/>\n0.2 is 2 tenths, which is equal to 20 hundredths.<br \/>\n4 hundredths &lt; 20 hundredths. So, \\(\\frac{4}{100}\\) &lt; 0.2<\/p>\n<p>Question 12.<br \/>\n0.15 ____ \\(\\frac{1}{10}\\)<\/p>\n<p>Answer:<br \/>\n0.15 &gt; \\(\\frac{1}{10}\\)<\/p>\n<p>Explanation:<br \/>\n0.15 is 15 hundredths.<br \/>\n\\(\\frac{1}{10}\\) is 1 tenths, which is equal to 10 hundredths.<br \/>\n15 hundredths &gt; 10 hundredths. So, 0.15 &gt; \\(\\frac{1}{10}\\).<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{1}{8}\\) ____ 0.8<\/p>\n<p>Answer:<br \/>\nlatex]\\frac{1}{8}[\/latex] &lt; 0.8<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{1}{8}\\) = 0.25 is 25 hundredths.<br \/>\n0.8 is 8 tenths, which is equal to 80 hundredths.<br \/>\n25 hundredths &lt; 80 hundredths. So, \\(\\frac{1}{8}\\) &lt; 0.8<\/p>\n<p>Question 14.<br \/>\nRobert had $14.53 in his pocket. Ivan had $14.25 in his pocket. Matt had $14.40 in his pocket. Who had more money, Robert or Matt? Did Ivan have more money than either Robert or Matt?<br \/>\n________<\/p>\n<p>Answer:<br \/>\nRobert had more money.<br \/>\nNo, Ivan didn&#8217;t have more money than either Robert or Matt.<\/p>\n<p>Explanation:<br \/>\nCompare Robert, Ivan, and Matt money to know who had more money.<br \/>\nThe digits in the one&#8217;s place are the same. Compare the digits in the tenths place. 5 &gt; 4 &gt; 2. So, Robert had more money.<\/p>\n<h3><a id=\"Compare_Decimals_Lesson_Check_-_Page_No._536\"><\/a>Page No. 536<\/h3>\n<p>Question 15.<br \/>\nRicardo and Brandon ran a 1500-meter race. Ricardo finished in 4.89 minutes. Brandon finished in 4.83 minutes. What was the time of the runner who finished first?<br \/>\na. What are you asked to find?\u2013<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\nThe time of the runner who finished first.<\/p>\n<p>Question 15.<br \/>\nb. What do you need to do to find the answer?<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\nI have to compare the times to find the time that is less.<\/p>\n<p>Question 15.<br \/>\nc. Solve the problem.<br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\nUse place-value chart<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3759\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-536.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 1 536\" width=\"277\" height=\"128\" \/><br \/>\nThe digits of the one&#8217;s and tenths are equal. So, compare hundredths to find greater time.<br \/>\n9 &gt; 3.<br \/>\n4.83 minutes are less than 4.89.<\/p>\n<p>Question 15.<br \/>\nd. What was the time of the runner who finished first?<br \/>\n______ minutes<\/p>\n<p>Answer:<br \/>\n4.83 minutes<\/p>\n<p>Question 15.<br \/>\ne. Look back. Does your answer make sense? Explain.<br \/>\n_____<\/p>\n<p>Answer:<br \/>\nYes. The time of the runner who finished first is the lesser time of the two. Since 4.83, 4.89, then 4.83 minutes is the time of the runner who finished first.<\/p>\n<p>Question 16.<br \/>\nThe Venus flytrap closes in 0.3 second and the waterwheel plant closes in 0.2 second. What decimal is halfway between 0.2 and 0.3? Explain.<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n0.2 is 2 tenths, which is equal to the 20 hundredths.<br \/>\n0.3 is 3 tenths, which is equal to 30 hundredths.<br \/>\nThe halfway between 20 hundredths and 30 hundredths is 25 hundredths.<br \/>\nSo, the answer is 0.25.<\/p>\n<p>Question 17.<br \/>\nFor numbers 17a\u201317c, select True or False for the inequality.<br \/>\na. 0.5 &gt; 0.53<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\nii. False<\/p>\n<p>Explanation:<br \/>\n0.5 is 50 hundredths.<br \/>\n0.53 is 53 hundredths.<br \/>\n50 hundredths &lt; 53 hundredths. So, 0.5 &lt; 0.53. So, the answer is false.<\/p>\n<p>Question 17.<br \/>\nb. 0.35 &lt; 0.37<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\ni. True<\/p>\n<p>Explanation:<br \/>\n0.35 is 35 hundredths.<br \/>\n0.37 is 37 hundredths.<br \/>\n35 hundredths &lt; 37 hundredths.<br \/>\n0.35 &lt; 0.37.<br \/>\nSo, the answer is true.<\/p>\n<p>Question 17. c. $1.35 &gt; $0.35<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\ni. True<\/p>\n<p>Explanation:<br \/>\n$1.35 is 135 hundredths.<br \/>\n$0.35 is 35 hundredths.<br \/>\n135 hundredths &gt; 35 hundredths.<br \/>\n$1.35 &gt; $0.35.<br \/>\nSo, the answer is correct.<\/p>\n<h3><a id=\"Compare_Decimals_Lesson_Check_1_-_Page_No._537\"><\/a>Common Core &#8211; New &#8211; Page No. 537<\/h3>\n<p><strong>Compare Decimals<\/strong><\/p>\n<p><strong>Compare. Write &lt;. &gt;, or =.<\/strong><\/p>\n<p>Question 1.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-55.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 55\" width=\"185\" height=\"121\" \/><br \/>\nThink: 3 tenths is less than 5 tenths. So, 0.35 &lt; 0.53<\/p>\n<p>Answer:<br \/>\n0.35 &lt; 0.53<\/p>\n<p>Explanation:<br \/>\n3 tenths is less than 5 tenths. So, 0.35 &lt; 0.53<\/p>\n<p>Question 2.<br \/>\n0.6 ______ 0.60<\/p>\n<p>Answer:<br \/>\n0.6 = 0.60<\/p>\n<p>Explanation:<br \/>\n0.6 is 6 tenths can write as 6 tenths and 0 hundredths. So, 0.6 = 0.60.<\/p>\n<p>Question 3.<br \/>\n0.24 ______ 0.31<\/p>\n<p>Answer:<br \/>\n0.24 &lt; 0.31<\/p>\n<p>Explanation:<br \/>\n2 tenths is less than 3 tenths. So, 0.24 &lt; 0.31.<\/p>\n<p>Question 4.<br \/>\n0.94 ______ 0.9<\/p>\n<p>Answer:<br \/>\n0.94 &gt; 0.9<\/p>\n<p>Explanation:<br \/>\nThe digits of tenths are equal. So, compare hundredths. 4 hundredths is greater than 0 hundredths. So, 0.94 &gt; 0.9.<\/p>\n<p>Question 5.<br \/>\n0.3 ______ 0.32<\/p>\n<p>Answer:<br \/>\n0.3 &lt; 0.32<\/p>\n<p>Explanation:<br \/>\nThe digits of tenths are equal. So, compare hundredths. 0 hundredths is less than 2 hundredths. So, 0.3 &lt; 0.32.<\/p>\n<p>Question 6.<br \/>\n0.45 ______ 0.28<\/p>\n<p>Answer:<br \/>\n0.45 &gt; 0.28<\/p>\n<p>Explanation:<br \/>\n4 tenths is greater than 2 tenths. So, 0.45 &gt; 0.28.<\/p>\n<p>Question 7.<br \/>\n0.39 ______ 0.93<\/p>\n<p>Answer:<br \/>\n0.39 &lt; 0.93<\/p>\n<p>Explanation:<br \/>\n3 tenths is less than 9 tenths. So, 0.39 &lt; 0.93.<\/p>\n<p><strong>Use the number line to compare. Write true or false. <\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-56.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals Common Core - New img 56\" width=\"569\" height=\"64\" \/><\/p>\n<p>Question 8.<br \/>\n0.8 &gt; 0.78<br \/>\n______<\/p>\n<p>Answer:<br \/>\ntrue<\/p>\n<p>Explanation:<br \/>\n0.78 is in between 0.7 and 0.8 that is less than 0.8. So, 0.8 &gt; 0.78.<\/p>\n<p>Question 9.<br \/>\n0.4 &gt; 0.84<br \/>\n______<\/p>\n<p>Answer:<br \/>\nfalse<\/p>\n<p>Explanation:<br \/>\n0.4 is less than 0.84 and the left side of the number line. So, 0.4 &lt; 0.84. The answer is false.<\/p>\n<p>Question 10.<br \/>\n0.7 &gt; 0.70<br \/>\n______<\/p>\n<p>Answer:<br \/>\nfalse<\/p>\n<p>Explanation:<br \/>\n0.7 is 7 tenths and 70 hundredths. 0.7 = 0.70. So, the answer is false.<\/p>\n<p>Question 11.<br \/>\n0.4 &gt; 0.04<br \/>\n______<\/p>\n<p>Answer:<br \/>\ntrue<\/p>\n<p>Explanation:<br \/>\n0.04 is less than 0.4 and it is left side of the 0.1 on the number line. 0.1 is less than 0.4. So, the given answer is true.<\/p>\n<p><strong>Compare. Write true or false.<\/strong><\/p>\n<p>Question 12.<br \/>\n0.09 &gt; 0.1<br \/>\n______<\/p>\n<p>Answer:<br \/>\nfalse<\/p>\n<p>Explanation:<br \/>\n0 tenths is less than 1 tenths. So, 0.09 &lt; 0.1. So, the answer is false.<\/p>\n<p>Question 13.<br \/>\n0.24 = 0.42<br \/>\n______<\/p>\n<p>Answer:<br \/>\nfalse<\/p>\n<p>Explanation:<br \/>\n2 tenths is less than 4 tenths. So, 0.24 &lt; 0.42. So, the answer is false.<\/p>\n<p>Question 14.<br \/>\n0.17 &lt; 0.32 ______<\/p>\n<p>Answer:<br \/>\ntrue<\/p>\n<p>Explanation:<br \/>\n1 tenths is less than 3 tenths. So, 0.17 &lt; 0.32. So, the answer is true.<\/p>\n<p>Question 15.<br \/>\n0.85 &gt; 0.82<br \/>\n______<\/p>\n<p>Answer:<br \/>\ntrue<\/p>\n<p>Explanation:<br \/>\nThe digits of tenths are equal. So, compare hundredths. 5 hundredths is greater than 2 hundredths. So, 0.85 &gt; 0.82.<\/p>\n<p>Question 16.<br \/>\nKelly walks 0.7 mile to school. Mary walks 0.49 mile to school. Write an inequality using &lt;, &gt; or = to compare the distances they walk to school.<br \/>\n0.7 ______ 0.49<\/p>\n<p>Answer:<br \/>\n0.7 &gt; 0.49<\/p>\n<p>Explanation:<br \/>\n7 tenths is greater than 4 tenths. So, 0.7 &gt; 0.49.<\/p>\n<p>Question 17.<br \/>\nTyrone shades two decimal grids. He shades 0.03 of the squares on one grid blue. He shades 0.3 of another grid red. Which grid has the greater part shaded?<br \/>\n0.03 ______ 0.3<\/p>\n<p>Answer:<br \/>\n0.03 &lt; 0.3<\/p>\n<p>Explanation:<br \/>\n0.03 is 3 hundredths.<br \/>\n0.3 is 3 tenths, which is equal to 30 hundredths.<br \/>\n3 hundredths &lt; 30 hundredths. So, 0.03 &lt; 0.3.<\/p>\n<h3><a id=\"Compare_Decimals_Lesson_Check_2_-_Page_No._538\"><\/a>Common Core &#8211; New &#8211; Page No. 538<\/h3>\n<p><em><strong>Lesson Check<\/strong><\/em><\/p>\n<p>Question 1.<br \/>\nBob, Cal, and Pete each made a stack of baseball cards. Bob\u2019s stack was 0.2 meter high. Cal\u2019s stack was 0.24 meter high. Pete\u2019s stack was 0.18 meter high.<br \/>\nWhich statement is true?<br \/>\nOptions:<br \/>\na. 0.02 &gt; 0.24<br \/>\nb. 0.24 &gt; 0.18<br \/>\nc. 0.18 &gt; 0.2<br \/>\nd. 0.24 = 0.2<\/p>\n<p>Answer:<br \/>\nb. 0.24 &gt; 0.18<\/p>\n<p>Explanation:<br \/>\n2 tenths is greater than 1 tenth. So, 0.24 &gt; 0.18.<\/p>\n<p>Question 2.<br \/>\nThree classmates spent money at the school supplies store. Mark spent 0.5 dollar, Andre spent 0.45 dollar, and Raquel spent 0.52 dollar. Which<br \/>\nstatement is true?<br \/>\nOptions:<br \/>\na. 0.45 &gt; 0.5<br \/>\nb. 0.52 &lt; 0.45<br \/>\nc. 0.5 = 0.52<br \/>\nd. 0.45 &lt; 0.5<\/p>\n<p>Answer:<br \/>\nd. 0.45 &lt; 0.5<\/p>\n<p>Explanation:<br \/>\n4 tenths is less than 5 tenth. So, 0.45 &gt; 0.5.<\/p>\n<p><em><strong>Spiral Review<\/strong><\/em><\/p>\n<p>Question 3.<br \/>\nPedro has $0.35 in his pocket. Alice has $0.40 in her pocket. How much money do Pedro and Alice have in their pockets altogether?<br \/>\nOptions:<br \/>\na. $0.05<br \/>\nb. $0.39<br \/>\nc. $0.75<br \/>\nd. $0.79<\/p>\n<p>Answer:<br \/>\nc. $0.75<\/p>\n<p>Explanation:<br \/>\nPedro has $0.35 in his pocket. Alice has $0.40 in her pocket.<br \/>\nTogether = $0.35 + $0.40 = $0.75.<\/p>\n<p>Question 4.<br \/>\nThe measure 62 centimeters is equivalent to \\(\\frac{62}{100}\\) meter. What is this measure written as a decimal?<br \/>\nOptions:<br \/>\na. 62.0 meters<br \/>\nb. 6.2 meters<br \/>\nc. 0.62 meter<br \/>\nd. 0.6 meter<\/p>\n<p>Answer:<br \/>\nc. 0.62 meter<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{62}{100}\\) = 0.62 meter.<\/p>\n<p>Question 5.<br \/>\nJoel has 24 sports trophies. Of the trophies, \\(\\frac{1}{8}\\) are soccer trophies. How many soccer trophies does Joel have?<br \/>\nOptions:<br \/>\na. 2<br \/>\nb. 3<br \/>\nc. 4<br \/>\nd. 6<\/p>\n<p>Answer:<br \/>\nb. 3<\/p>\n<p>Explanation:<br \/>\nJoel has 24 sports trophies. Of the trophies, \\(\\frac{1}{8}\\) are soccer trophies.<br \/>\nSo, \\(\\frac{1}{8}\\) X 24 = 3 soccer trophies.<\/p>\n<p>Question 6.<br \/>\nMolly\u2019s jump rope is 6 \\(\\frac{1}{3}\\) feet long. Gail\u2019s jump rope is 4 \\(\\frac{2}{3}\\) feet long. How much longer is Molly\u2019s jump rope?<br \/>\nOptions:<br \/>\na. 1 \\(\\frac{1}{3}\\) feet<br \/>\nb. 1 \\(\\frac{2}{3}\\) feet<br \/>\nc. 2 \\(\\frac{1}{3}\\) feet<br \/>\nd. 2 \\(\\frac{2}{3}\\) feet<\/p>\n<p>Answer:<br \/>\nb. 1 \\(\\frac{2}{3}\\) feet<\/p>\n<p>Explanation:<br \/>\n6 \\(\\frac{1}{3}\\) feet = \\(\\frac{19}{3}\\) feet.<br \/>\n4 \\(\\frac{2}{3}\\) feet = \\(\\frac{14}{3}\\) feet.<br \/>\n\\(\\frac{19}{3}\\) &#8211; \\(\\frac{14}{3}\\) = \\(\\frac{5}{3}\\) feet = b. 1 \\(\\frac{2}{3}\\) feet.<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._539\"><\/a>Page No. 539<\/h3>\n<p>Question 1.<br \/>\nSelect a number shown by the model. Mark all that apply.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-57.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 57\" width=\"561\" height=\"166\" \/><br \/>\nType below:<br \/>\n________<\/p>\n<p>Answer:<br \/>\n1 \\(\\frac{4}{10}\\) = \\(\\frac{14}{10}\\) = 1.4<\/p>\n<p>Explanation:<br \/>\nfrom the given image, there is one whole number and \\(\\frac{4}{10}\\) of another model. So, 1 \\(\\frac{4}{10}\\) = \\(\\frac{14}{10}\\) = 1.4<\/p>\n<p>Question 2.<br \/>\nRick has one dollar and twenty-seven cents to buy a notebook. Which names this money amount in terms of dollars? Mark all that apply.<br \/>\nOptions:<br \/>\na. 12.7<br \/>\nb. 1.027<br \/>\nc. $1.27<br \/>\nd. 1.27<br \/>\ne. 1 \\(\\frac{27}{100}\\)<br \/>\nf. \\(\\frac{127}{10}\\)<\/p>\n<p>Answer:<br \/>\nc. $1.27<br \/>\nd. 1.27<br \/>\ne. 1 \\(\\frac{27}{100}\\)<\/p>\n<p>Explanation:<br \/>\none dollar and twenty-seven cents = 1 \\(\\frac{27}{100}\\) = 1.27 = $1.27<\/p>\n<p>Question 3.<br \/>\nFor numbers 3a\u20133e, select True or False for the statement.<br \/>\na. 0.9 is equivalent to 0.90.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\ni. True<\/p>\n<p>Explanation:<br \/>\n0.9 is 9 tenths, which is equal to 90 hundredths. 0.9 = 0.90. So, the answer is true.<\/p>\n<p>Question 3.<br \/>\nb. 0.20 is equivalent to \\(\\frac{2}{100}\\)<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\nii. False<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{2}{100}\\) = 0.02. So, the given answer is false.<\/p>\n<p>Question 3.<br \/>\nc. \\(\\frac{80}{100}\\) is equivalent to \\(\\frac{8}{10}\\).<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\ni. True<\/p>\n<p>Explanation:<br \/>\nDivide \\(\\frac{80}{100}\\) by 10 = \\(\\frac{8}{10}\\). So, the answer is true.<\/p>\n<p>Question 3.<br \/>\nd. \\(\\frac{6}{10}\\) is equivalent to 0.60.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\ni. True<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{6}{10}\\) is 0.6. 0.6 is 6 tenths, which is equal to 6 tenths and 0 hundredths. 0.60. So, 0.6 =0.60. The answer is true.<\/p>\n<p>Question 3.<br \/>\ne. 0.3 is equivalent to \\(\\frac{3}{100}\\)<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\nii. False<\/p>\n<p>Explanation:<br \/>\n0.3 is 3 tenths, which is equal to 3 tenths and 0 hundredths. \\(\\frac{3}{100}\\) is 0 tenths. So, the answer is false.<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._540\"><\/a>Page No. 540<\/h3>\n<p>Question 4.<br \/>\nAfter selling some old books and toys, Gwen and her brother Max had 5 one-dollar bills, 6 quarters, and 8 dimes. They agreed to divide the money equally.<br \/>\nPart A<br \/>\nWat is the total amount of money that Gwen and Max earned?<br \/>\nExplain.<br \/>\n$ _____<\/p>\n<p>Answer:<br \/>\n$7.30<\/p>\n<p>Explanation:<br \/>\nAfter selling some old books and toys, Gwen and her brother Max had 5 one-dollar bills, 6 quarters, and 8 dimes.<br \/>\n5 + (6 X 25\/100) + (8 X 10\/100) = 5 + 150\/100 + 80\/100 = 5 + 230\/100 = 730\/100 = 7.30<\/p>\n<p>Question 4.<br \/>\nPart B<br \/>\nMax said that he and Gwen cannot get equal amounts of money because 5 one-dollar bills cannot be divided evenly. Do you agree with Max?<br \/>\nExplain.<br \/>\n_____<\/p>\n<p>Answer:<br \/>\nii. False<\/p>\n<p>Explanation:<br \/>\nNo; they can share the 3 quarters and 4 dimes each. Then, they can change the 5 dollar bills into quarters. 1 dollar = 4 quarters. So, 5 dollars = 5 X 4 or 20 quarters. They can each get 10 quarters. So, each person has a total of 13 quarters and 4 dimes. $3.25 + $0.40 = $3.65<\/p>\n<p>Question 5.<br \/>\nHarrison rode his bike \\(\\frac{6}{10}\\) of a mile to the park. Shade the model. Then write the decimal to show how far Harrison rode his bike.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-58.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 58\" width=\"353\" height=\"47\" \/><br \/>\nHarrison rode his bike _______ mile to the park.<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-3764\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-1-540.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 1 540\" width=\"241\" height=\"41\" \/><br \/>\nHarrison rode his bike 0.6 mile to the park.<\/p>\n<p>Explanation:<br \/>\n6 boxes are shaded out of 10.<\/p>\n<p>Question 6.<br \/>\nAmaldo spent \\(\\frac{88}{100}\\) of a dollar on a souvenir pencil from Zion National Park in Utah. What is \\(\\frac{88}{100}\\) written as a decimal in terms of dollars?<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n0.88<\/p>\n<p>Explanation:<br \/>\nWrite down 88 with the decimal point 2 spaces from the right (because 100 has 2 zeros). 0.88<\/p>\n<p>Question 7.<br \/>\nTran has $5.82. He is saving for a video game that costs $8.95.<br \/>\nTran needs _______ more to have enough money for the game.<br \/>\n_____<\/p>\n<p>Answer:<br \/>\n$3.13<\/p>\n<p>Explanation:<br \/>\nTran has $5.82. He is saving for a video game that costs $8.95. To know more amount need to buy a video game = $8.95 &#8211; $5.82 = $3.13<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._541\"><\/a>Page No. 541<\/h3>\n<p>Question 8.<br \/>\nCheyenne lives \\(\\frac{7}{10}\\) mile from school. A fraction in hundredths equal to \\(\\frac{7}{10}\\) is<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\)<\/p>\n<p>Answer:<br \/>\n\\(\\frac{70}{100}\\)<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{7}{10}\\) = \\(\\frac{7 \\times 10}{10 \\times 10}\\) = \\(\\frac{70}{100}\\)<\/p>\n<p>Question 9.<br \/>\nWrite a decimal in tenths that is less than 2.42 but greater than 2.0.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n2.1, 2.2, 2.3, 2.4<\/p>\n<p>Explanation:<br \/>\nThe decimal in greater than 2.0 and below the 2.4 are 2.1, 2.2, 2.3, 2.4<\/p>\n<p>Question 10.<br \/>\nKylee and two of her friends are at a museum. They find two quarters and one dime on the ground.<br \/>\nPart A<br \/>\nIf Kylee and her friends share the money equally, how much will each person get? Explain how you found your answer.<br \/>\n$ _____<br \/>\nExplain:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n$0.20; Two quarters and one dime are equal to $0.50 + $0.10 = $0.60. Take $0.60 as 6 dimes. When 6 dimes divide equally, each person will receive 2 dimes or $0.20.<\/p>\n<p>Question 10.<br \/>\nPart B<br \/>\nKylee says that each person will receive \\(\\frac{2}{10}\\) of the money that was found. Do you agree? Explain.<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nNo; Each person receives $0.20, which is 2\/10 of a dollar, not 2\/10 of the money that was found. Since there are 3 people who share the money equally, each person will receive 1\/3 of the money.<\/p>\n<p>Question 11.<br \/>\nShade the model to show 1 \\(\\frac{52}{100}\\). Then write the mixed number in decimal form.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-59.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 59\" width=\"305\" height=\"145\" \/><br \/>\n_____<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-3766\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-541-300x152.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 2 541\" width=\"300\" height=\"152\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-541-300x152.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-2-541.jpg 339w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><br \/>\n1.52<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._542\"><\/a>Page No. 542<\/h3>\n<p>Question 12.<br \/>\nHenry is making a recipe for biscuits. A recipe calls for \\(\\frac{5}{10}\\) kilogram flour and \\(\\frac{9}{100}\\) kilogram sugar.<br \/>\nPart A<br \/>\nIf Henry measures correctly and combines the two amounts, how much flour and sugar will he have? Show your work.<br \/>\n\\(\\frac{\u25a1}{\u25a1}\\) kilogram<\/p>\n<p>Answer:<br \/>\n\\(\\frac{59}{100}\\) kilogram<\/p>\n<p>Explanation:<br \/>\nHenry is making a recipe for biscuits. A recipe calls for \\(\\frac{5}{10}\\) kilogram flour and \\(\\frac{9}{100}\\) kilogram sugar. So, add \\(\\frac{5}{10}\\) kilogram flour and \\(\\frac{9}{100}\\) kilogram flour.<br \/>\n\\(\\frac{5}{10}\\) = \\(\\frac{5 \\times 10}{10 \\times 10}\\) = \\(\\frac{50}{100}\\).<br \/>\n\\(\\frac{50}{100}\\) + \\(\\frac{9}{100}\\) = \\(\\frac{59}{100}\\).<\/p>\n<p>Question 12.<br \/>\nPart B<br \/>\nHow can you write your answer as a decimal?<br \/>\n__________ kilogram<\/p>\n<p>Answer:<br \/>\n0.59 kilogram<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{59}{100}\\) = 0.59<\/p>\n<p>Question 13.<br \/>\nAn orchestra has 100 musicians. \\(\\frac{4}{10}\\) of them play string instruments\u2014violin, viola, cello, double bass, guitar, lute, and harp. What decimal is equivalent to \\(\\frac{4}{10}\\)?<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n0.4 or 0.40<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{4}{10}\\) = 0.4 = 0.40<\/p>\n<p>Question 14.<br \/>\nComplete the table.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-60.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 60\" width=\"632\" height=\"358\" \/><\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3767\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-541-300x170.jpg\" alt=\"grade 4 chapter 9 Relate Fractions and Decimals Image 3 541\" width=\"455\" height=\"258\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-541-300x170.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-Relate-Fractions-and-Decimals-Image-3-541.jpg 627w\" sizes=\"(max-width: 455px) 100vw, 455px\" \/><\/p>\n<p>Question 15.<br \/>\nThe point on the number line shows the number of seconds it took an athlete to run the forty-yard dash. Write the decimal that correctly names the point.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-61.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 61\" width=\"453\" height=\"129\" \/><\/p>\n<p>Answer:<br \/>\n\\(\\frac{70}{100}\\)<\/p>\n<p>Explanation:<br \/>\nThe point is in between 5\\(\\frac{5}{10}\\) and 6.0. The point after the 5\\(\\frac{5}{10}\\) is 5\\(\\frac{6}{10}\\) = 5.6<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._543\"><\/a>Page No. 543<\/h3>\n<p>Question 16.<br \/>\nIngrid is making a toy car. The toy car is \\(\\frac{5}{10}\\) meter high without the roof. The roof is \\(\\frac{18}{100}\\) meter high. What is the height of the toy car with the roof? Choose a number from each column to complete an equation to solve.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-62.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 62\" width=\"535\" height=\"175\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{50}{100}\\) + \\(\\frac{18}{100}\\) = \\(\\frac{68}{100}\\) meter high<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{5}{10}\\) = \\(\\frac{5 \\times 10}{10 \\times 10}\\) = \\(\\frac{50}{100}\\).<br \/>\n\\(\\frac{50}{100}\\) + \\(\\frac{18}{100}\\) = \\(\\frac{68}{100}\\).<\/p>\n<p>Question 17.<br \/>\nCallie shaded the model to represent the questions she answered correctly on a test. What decimal represents the part of the model that is shaded?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-63.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 63\" width=\"149\" height=\"148\" \/><br \/>\nrepresents _____<\/p>\n<p>Answer:<br \/>\n0.81<\/p>\n<p>Explanation:<br \/>\n81 boxes are shaded out of 100. So, \\(\\frac{81}{100}\\) = 0.81<\/p>\n<p>Question 18.<br \/>\nFor numbers 18a\u201318f, select True or False for the inequality.<br \/>\na. 0.21 &lt; 0.27<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\ni. True<\/p>\n<p>Explanation:<br \/>\nThe digits in the one&#8217;s and tenths place are the same. Compare the digits in the hundredths place. 1 &lt; 7. So, 0.21 &lt; 0.27. The answer is true.<\/p>\n<p>Question 18. b. 0.4 &gt; 0.45<\/p>\n<p>i. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\nii. False<\/p>\n<p>Explanation:<br \/>\n0.4 = 0.40<br \/>\nThe digits in the one&#8217;s and tenths place are the same. Compare the digits in the hundredths place. 0 &lt; 5. So, 0.4 &lt; 0.46. The answer is false.<\/p>\n<p>Question 18.<br \/>\nc. $3.21 &gt; $0.2<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\ni. True<\/p>\n<p>Explanation:<br \/>\n3 ones is greater than 0&#8217;s. So, $3.21 &gt; $0.2<\/p>\n<p>Question 18.<br \/>\nd. 1.9 &lt; 1.90<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\nii. False<\/p>\n<p>Explanation:<br \/>\n1.9 = 1.90. So, the answer is false<\/p>\n<p>Question 18. e. 0.41 = 0.14<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\nii. False<\/p>\n<p>Explanation:<br \/>\nThe digits in the one&#8217;s are the same. Compare the digits in the tenths place. 4 &gt; 1. So, 0.41 &gt; 0.14. The answer is false.<\/p>\n<p>Question 18. f. 6.2 &gt; 6.02<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer:<br \/>\ni. True<\/p>\n<p>Explanation:<br \/>\n2 tenths is greater than 0 tenths. So, 6.2 &gt; 6.02. The answer is true.<\/p>\n<p>Question 19.<br \/>\nFill in the numbers to find the sum.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-64.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 64\" width=\"233\" height=\"127\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{4}{10}\\) + \\(\\frac{40}{100}\\) = \\(\\frac{8}{10}\\)<\/p>\n<p>Explanation:<br \/>\nLet the unknown numbers are A and B.<br \/>\n\\(\\frac{4}{10}\\) + \\(\\frac{A}{100}\\) = \\(\\frac{8}{B}\\)<br \/>\nIf A = 40 and B = 10, then \\(\\frac{4}{10}\\) + \\(\\frac{40}{100}\\) = \\(\\frac{8}{10}\\).<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._544\"><\/a>Page No. 544<\/h3>\n<p>Question 20.<br \/>\nSteve is measuring the growth of a tree. He drew this model to show the tree\u2019s growth in meters. Which fraction, mixed number, or decimal does the model show? Mark all that apply.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-65.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 65\" width=\"309\" height=\"151\" \/><br \/>\nOptions:<br \/>\na. 1.28<br \/>\nb. 12.8<br \/>\nc. 0.28<br \/>\nd. 2 \\(\\frac{8}{100}\\)<br \/>\ne. 1 \\(\\frac{28}{100}\\)<br \/>\nf. 1 \\(\\frac{28}{10}\\)<\/p>\n<p>Answer:<br \/>\na. 1.28<br \/>\ne. 1 \\(\\frac{28}{100}\\)<\/p>\n<p>Explanation:<br \/>\nFrom the given image, it has one model of 1 whole number and other model is shades 24 boxes out of 100. So, 1 \\(\\frac{28}{100}\\) = \\(\\frac{128}{100}\\) = 1.28 is the answer.<\/p>\n<p>Question 21.<br \/>\nLuke lives 0.4 kilometer from a skating rink. Mark lives 0.25 kilometer from the skating rink.<br \/>\nPart A<br \/>\nWho lives closer to the skating rink? Explain.<br \/>\n_____<\/p>\n<p>Answer:<br \/>\nMark lives closer to the skating rink<\/p>\n<p>Explanation:<br \/>\n0.4 is 4 tenths and 0.25 is 2 tenths 5 hundredths. Compare the tenths, since<br \/>\n4 tenths &gt; 2 tenths. Luke lives farther from the rink. So, Mark lives closer.<\/p>\n<p>Question 21.<br \/>\nPart B<br \/>\nHow can you write each distance as a fraction? Explain.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n\\(\\frac{4}{10}\\) and \\(\\frac{25}{100}\\)<\/p>\n<p>Explanation:<br \/>\n0.4 is 4 tenths. So, \\(\\frac{4}{10}\\) and 0.25 is 25 hundredths. So, \\(\\frac{25}{100}\\).<\/p>\n<p>Question 21.<br \/>\nPart C<br \/>\nLuke is walking to the skating rink to pick up a practice schedule. Then he is walking to Mark\u2019s house. Will he walk more than a kilometer or less than a kilometer? Explain.<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nLess than a kilometer; \\(\\frac{4}{10}\\) &lt; \\(\\frac{5}{10}\\) or \\(\\frac{1}{2}\\) and \\(\\frac{25}{100}\\) &lt; \\(\\frac{50}{100}\\) or \\(\\frac{1}{2}\\).<br \/>\n\\(\\frac{4}{10}\\) + \\(\\frac{25}{100}\\) &lt; \\(\\frac{1}{2}\\) + \\(\\frac{1}{2}\\). So, \\(\\frac{1}{2}\\) + \\(\\frac{1}{2}\\) = 1.<br \/>\nTherefore, \\(\\frac{4}{10}\\) + \\(\\frac{25}{100}\\) &lt; 1.<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._551\"><\/a>Page No. 551<\/h3>\n<p>Question 1.<br \/>\nDraw and label \\(\\overline{A B}\\) in the space at the right.<br \/>\n\\(\\overline{A B}\\) is a __________ .<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3773\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-1-551-300x81.jpg\" alt=\"grade 4 chapter 9 review test image 1 551\" width=\"174\" height=\"47\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-1-551-300x81.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-1-551.jpg 377w\" sizes=\"(max-width: 174px) 100vw, 174px\" \/><br \/>\n\\(\\overline{A B}\\) is a line segment.<\/p>\n<p><strong>Draw and label an example of the figure.<\/strong><\/p>\n<p>Question 2.<br \/>\n\\(\\underset { XY }{ \\longleftrightarrow } \\)<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3774\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-2-551-300x65.jpg\" alt=\"grade 4 chapter 9 review test image 2 551\" width=\"180\" height=\"39\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-2-551-300x65.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-2-551.jpg 451w\" sizes=\"(max-width: 180px) 100vw, 180px\" \/><br \/>\n\\(\\underset { XY }{ \\longleftrightarrow } \\) is a line<\/p>\n<p>Question 3.<br \/>\nobtuse \u2220K<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3775\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-3-551-300x186.jpg\" alt=\"grade 4 chapter 9 review test image 3 551\" width=\"189\" height=\"117\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-3-551-300x186.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-3-551.jpg 321w\" sizes=\"(max-width: 189px) 100vw, 189px\" \/><br \/>\nAngle K is greater than a right angle and less than a straight angle.<\/p>\n<p>Question 4.<br \/>\n\u2220CDE<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3776\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-4-551-300x247.jpg\" alt=\"grade 4 chapter 9 review test image 4 551\" width=\"135\" height=\"111\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-4-551-300x247.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-4-551.jpg 359w\" sizes=\"(max-width: 135px) 100vw, 135px\" \/><br \/>\nangle CDE<\/p>\n<p><strong>Use Figure M for 5 and 6.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-66.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 66\" width=\"90\" height=\"130\" \/><\/p>\n<p>Question 5.<br \/>\nName a line segment.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nline segment TU<\/p>\n<p>Explanation:<br \/>\nTU line is a straight path of points that continues without an end in both directions.<\/p>\n<p>Question 6.<br \/>\nName a right angle.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nAngle TUW<\/p>\n<p>Explanation:<br \/>\nTUW is a right angle that forms a square corner.<\/p>\n<p><strong>Draw and label an example of the figure.<\/strong><\/p>\n<p>Question 7.<br \/>\n\\(\\overrightarrow{P Q}\\)<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3778\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-5-551-300x71.jpg\" alt=\"grade 4 chapter 9 review test image 5 551\" width=\"202\" height=\"48\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-5-551-300x71.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-5-551.jpg 462w\" sizes=\"(max-width: 202px) 100vw, 202px\" \/><br \/>\n\\(\\overrightarrow{P Q}\\) is a ray.<\/p>\n<p>Question 8.<br \/>\nacute \u2220RST<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3779\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-6-551-300x274.jpg\" alt=\"grade 4 chapter 9 review test image 6 551\" width=\"187\" height=\"171\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-6-551-300x274.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-6-551.jpg 366w\" sizes=\"(max-width: 187px) 100vw, 187px\" \/><br \/>\nAngle RST<\/p>\n<p>Question 9.<br \/>\nstraight \u2220WXZ<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-3780\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-7-551-300x60.jpg\" alt=\"grade 4 chapter 9 review test image 7 551\" width=\"205\" height=\"41\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-7-551-300x60.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/07\/grade-4-chapter-9-review-test-image-7-551.jpg 543w\" sizes=\"(max-width: 205px) 100vw, 205px\" \/><\/p>\n<p><strong>Use Figure F for 10\u201315.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-67.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 67\" width=\"281\" height=\"168\" \/><\/p>\n<p>Question 10.<br \/>\nName a ray.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nRay K<\/p>\n<p>Explanation:<br \/>\nK is a ray that has one endpoint and continues without an end in one direction.<\/p>\n<p>Question 11.<br \/>\nName an obtuse angle.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nAngle ABK<\/p>\n<p>Explanation:<br \/>\nABK is an obtuse angle that is greater than a right angle and less than a straight angle.<\/p>\n<p>Question 12.<br \/>\nName a line.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nLine AC<\/p>\n<p>Explanation:<br \/>\nAC is a line that is a straight path of points that continues without end in<br \/>\nboth directions.<\/p>\n<p>Question 13.<br \/>\nName a line segment.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nLine Segment PQ<\/p>\n<p>Explanation:<br \/>\nPQ is a line segment that is part of a line between two endpoints.<\/p>\n<p>Question 14.<br \/>\nName a right angle.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nAngle PRC<\/p>\n<p>Explanation:<br \/>\nPRC is a right angle that forms a square corner.<\/p>\n<p>Question 15.<br \/>\nName an acute angle.<br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nAngle ABJ<\/p>\n<p>Explanation:<br \/>\nABJ is an acute angle that is less than a right angle.<\/p>\n<h3><a id=\"Review\/Test_-_Page_No._552\"><\/a>Page No. 552<\/h3>\n<p><strong>Use the picture of the bridge for 16 and 17.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-68.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 68\" width=\"183\" height=\"131\" \/><\/p>\n<p>Question 16.<br \/>\nClassify \u2220A.<br \/>\n_____ angle<\/p>\n<p>Answer:<br \/>\nRight Angle<\/p>\n<p>Explanation:<br \/>\nA is the right angle that forms a square corner.<\/p>\n<p>Question 17.<br \/>\nWhich angle appears to be obtuse?<br \/>\n\u2220 _____<\/p>\n<p>Answer:<br \/>\n\u2220C<\/p>\n<p>Explanation:<br \/>\nC is an obtuse angle that is greater than a right angle and less than a straight angle.<\/p>\n<p>Question 18.<br \/>\nHow many different angles are in Figure X?<br \/>\nList them.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-69.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 69\" width=\"144\" height=\"118\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\n4 Angles;<br \/>\nRight Angle = Angle EBC;<br \/>\nObtuse angle = Angle DBF;<br \/>\nAcute angle = Angle DBE;<br \/>\nStraight angle = Angle ABC.<\/p>\n<p>Explanation:<\/p>\n<p>Question 19.<br \/>\nVanessa drew the angle at the right and named it \u2220TRS. Explain why Vanessa\u2019s name for the angle is incorrect. Write a correct name for the angle.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-70.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 70\" width=\"129\" height=\"93\" \/><br \/>\nType below:<br \/>\n__________<\/p>\n<p>Answer:<br \/>\nVanessa\u2019s name for the angle is incorrect. Because She drew \u2220TSR. The two rays R and T have the same endpoint at S called the angle. Also, the TSR is an <strong>acute angle<\/strong> that is less than a right angle.<\/p>\n<p>Question 20.<br \/>\nWrite the word that describes the part of Figure A.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-71.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 71\" width=\"244\" height=\"214\" \/><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/07\/Go-Math-Grade-4-Answer-Key-Chapter-9-Relate-Fractions-and-Decimals-img-72.jpg\" alt=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals img 72\" width=\"341\" height=\"105\" \/><br \/>\n\\(\\overline{B G}\\) _________<br \/>\n\\(\\underset { CD }{ \\longleftrightarrow } \\) _________<br \/>\n\u2220FBG _________<br \/>\n\\(\\overrightarrow{B E}\\) _________<br \/>\n\u2220AGD _________<\/p>\n<p>Answer:<br \/>\n\\(\\overline{B G}\\) <strong>Line Segment<\/strong>.<br \/>\n\\(\\underset { CD }{ \\longleftrightarrow } \\) <strong>Line<\/strong>.<br \/>\n\u2220FBG <strong>Right Angle<\/strong>.<br \/>\n\\(\\overrightarrow{B E}\\) <strong>Ray<\/strong>.<br \/>\n\u2220AGD an <strong>acute angle<\/strong>.<\/p>\n<h3>Conclusion:<\/h3>\n<p>We hope the given data about <strong>Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals PDF<\/strong> help you more during the practice sessions. If you want to ask any doubts, feel free to check HMH Go Math Grade 4 Chapter 9 Answer Key Homework Practice FL.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals assists you to examine your preparation level. Get numerous practice questions and exercise questions of Chapter 9 from the 4th Grade Go Math Answer Key Ch 9 Relate Fractions and Decimals and secure high marks. We have provided step-by-step solutions for all the &#8230; <a title=\"Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/go-math-grade-4-answer-key-chapter-9-relate-fractions-and-decimals\/\" aria-label=\"More on Go Math Grade 4 Answer Key Chapter 9 Relate Fractions and Decimals\">Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":8889,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2020\/10\/go-math-grade-4-chapter-9-relate-fractions-and-decimals-answer-key.jpeg","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/1817"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=1817"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/1817\/revisions"}],"predecessor-version":[{"id":92762,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/1817\/revisions\/92762"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/8889"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=1817"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=1817"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=1817"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}