{"id":90102,"date":"2022-03-30T12:10:06","date_gmt":"2022-03-30T06:40:06","guid":{"rendered":"https:\/\/bigideasmathanswers.com\/?p=90102"},"modified":"2022-04-07T14:37:35","modified_gmt":"2022-04-07T09:07:35","slug":"envision-math-common-core-grade-4-answer-key-topic-12","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/envision-math-common-core-grade-4-answer-key-topic-12\/","title":{"rendered":"enVision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals"},"content":{"rendered":"<p>Practice with the help of <a href=\"https:\/\/bigideasmathanswers.com\/envision-math-common-core-grade-4-answer-key\/\">enVision Math Common Core Grade 4 Answer Key<\/a> <strong>Topic 12 Understand and Compare Decimals<\/strong> regularly and improve your accuracy in solving questions.<\/p>\n<h2>enVision Math Common Core 4th Grade Answers Key Topic 12 Understand and Compare Decimals<\/h2>\n<p><strong>Essential Questions:<\/strong><br \/>\nHow can you write a fraction as a decimal? How can you locate points on a number line? How do you compare decimals?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11367\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-1.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 1\" width=\"688\" height=\"579\" \/><\/p>\n<p><strong>enVision STEM Project: Energy and Decimals<\/strong><br \/>\nDo Research Use the Internet or other sources to research other sports or games where players transfer energy to cause collisions in order to score points and win.<br \/>\nJournal: Write a Report Include what you found. Also in your report:<\/p>\n<ul>\n<li>Explain how the transfer of energy helps the player or team score.<\/li>\n<li>A game of curling is broken into ten rounds called ends. Suppose a team wins 6 of the 10 ends. Write a fraction with a denominator of 10 and an equivalent fraction with a denominator of 100. Then, write an equivalent decimal that represents the same value.<\/li>\n<\/ul>\n<p><strong>Review What You Know<\/strong><\/p>\n<p><strong>Vocabulary<\/strong><\/p>\n<p>Choose the best term from the box. Write it on the blank.<\/p>\n<ul>\n<li>hundredth<\/li>\n<li>tens<\/li>\n<li>place value<\/li>\n<li>tenth<\/li>\n<\/ul>\n<p>Question 1.<br \/>\nA ________ is one of 10 equal parts of a whole, written as \\(\\frac{1}{10}\\).<br \/>\nAnswer: A <span style=\"text-decoration: underline;\">tenth<\/span> is one of 10 equal parts of a whole, written as \\(\\frac{1}{10}\\).<\/p>\n<p>Question 2.<br \/>\n__________ is the position of a digit in a number that is used to determine the value of the digit.<br \/>\nAnswer: <span style=\"text-decoration: underline;\">tens<\/span> is the position of a digit in a number that is used to determine the value of the digit.<\/p>\n<p>Question 3.<br \/>\nA __________ is one of 100 equal parts of a whole, written as \\(\\frac{1}{100}\\).<br \/>\nAnswer: A <span style=\"text-decoration: underline;\">hundredth<\/span> is one of 100 equal parts of a whole, written as \\(\\frac{1}{100}\\).<\/p>\n<p><strong>Comparing Fractions<\/strong><\/p>\n<p>Write &gt;, &lt;, or = in the <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/>.<br \/>\nQuestion 4.<br \/>\n\\(\\frac{5}{100}\\) <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> \\(\\frac{5}{10}\\)<br \/>\nAnswer: \\(\\frac{5}{100}\\) &lt;\u00a0\\(\\frac{5}{10}\\)<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{1}{10}\\) <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> \\(\\frac{1}{100}\\)<br \/>\nAnswer: \\(\\frac{1}{10}\\) &gt;\u00a0\\(\\frac{1}{100}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{2}{10}\\) <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> \\(\\frac{20}{100}\\)<br \/>\nAnswer: \\(\\frac{2}{10}\\) = \\(\\frac{20}{100}\\)<\/p>\n<p><strong>Parts of a Whole<\/strong><\/p>\n<p>Complete each fraction to represent the shaded part of the whole.<br \/>\nQuestion 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11369\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-3.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 3\" width=\"204\" height=\"79\" \/><br \/>\nAnswer: There are 10 blocks of which 3 are shaded. So, the fraction of the shaded part of the whole is \\(\\frac{3}{10}\\)<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11370\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-4.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 4\" width=\"199\" height=\"78\" \/><br \/>\nAnswer: There are 10 blocks of which 0 are shaded. So, the fraction of the shaded part of the whole is 0.<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11371\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-5.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 5\" width=\"211\" height=\"82\" \/><br \/>\nAnswer: There are 10 blocks of which 7 are shaded. So, the fraction of the shaded part of the whole is \\(\\frac{7}{10}\\)<\/p>\n<p>Shade the part of the whole that represents the fraction.<br \/>\nQuestion 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11372\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-6.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 6\" width=\"100\" height=\"136\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18874\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-6-1.png\" alt=\"Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-6\" width=\"100\" height=\"136\" \/><\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11373\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-7.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 7\" width=\"89\" height=\"137\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18875\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-7-1.png\" alt=\"Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-7\" width=\"100\" height=\"136\" \/><\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11374\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-8.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 8\" width=\"94\" height=\"138\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18876\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-8-1.png\" alt=\"Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-8\" width=\"94\" height=\"138\" \/><\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 13.<br \/>\nReasoning Rob walked \\(\\frac{2}{10}\\) block. Drew walked \\(\\frac{5}{10}\\) block. Write a comparison for the distance Rob and Drew each walked.<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nRob walked \\(\\frac{2}{10}\\) block.<br \/>\nDrew walked \\(\\frac{5}{10}\\) block.<br \/>\nDrew walked more than Rob.<\/p>\n<p><strong>Pick a Project<\/strong><\/p>\n<p>PROJECT 12A<br \/>\nHow much will it cost to visit a national park?<br \/>\nProject: Write a Travel Journal<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11375\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-9.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 9\" width=\"462\" height=\"432\" \/><\/p>\n<p>PROJECT 12B<br \/>\nHow do you know who won the event?<br \/>\nProject: Compare Olympic Racing Times<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11376\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-10.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 10\" width=\"467\" height=\"400\" \/><\/p>\n<p>PROJECT 12C<br \/>\nWould you like to win an award for a presentation?<br \/>\nProject: Make a Presentation about Adding Fractions<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11377\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-11.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 11\" width=\"502\" height=\"487\" \/><\/p>\n<p>PROJECT 12D<br \/>\nHow did railroads help build Florida?<br \/>\nProject: Build a Miniature Railroad<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11378\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-12.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 12\" width=\"503\" height=\"487\" \/><\/p>\n<h3>Lesson 12.1 Fractions and Decimals<\/h3>\n<p><strong>Solve &amp; Share<\/strong><br \/>\nAccording to a survey, 7 out of 10 pet owners have a dog. Represent this in a drawing.<br \/>\nI can &#8230; relate fractions and decimals.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11379\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-13.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 13\" width=\"438\" height=\"374\" \/><\/p>\n<p>Look Back! How many pet owners do NOT have a dog? Write your answer as a fraction.<\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Write a Fraction as a Decimal?<\/p>\n<p>Visual Learning Bridge<br \/>\nOn Kelsey Street, 6 out of 10 houses have swing sets. Write \\(\\frac{6}{10}\\) as a decimal.<br \/>\nA decimal is another representation for a fraction and also names parts of wholes. A decimal is a number with one or more digits to the right of the decimal point.<br \/>\nFractions with denominators of 10 and 100 may be written as decimals.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11380\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-14.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 14\" width=\"475\" height=\"137\" \/><\/p>\n<p>Sixth tenths or \\(\\frac{6}{10}\\) of the houses have swing sets.<br \/>\nYou can write \\(\\frac{6}{10}\\) as a decimal by putting a 6 in tenths place. The tenths place is to the right of the decimal point.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11381\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-15.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 15\" width=\"205\" height=\"128\" \/><\/p>\n<p>\\(\\frac{6}{10}\\) and \\(\\frac{60}{100}\\) are equivalent.<br \/>\nYou can write \\(\\frac{60}{100}\\) as a decimal by using tenths and hundredths places The hundredths place is to the right of tenths place.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11382\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-16.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 16\" width=\"386\" height=\"94\" \/><br \/>\nSo, 0.6 or 0.60 of the houses have swing sets.<\/p>\n<p>Convince Me! Reasoning in the Kelsey Street neighborhood, 75 out of 100 houses are two-story homes. Write \\(\\frac{75}{100}\\) as a decimal. Shade the grid to show the equivalent fraction and decimal.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11383\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-17.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 17\" width=\"94\" height=\"94\" \/><\/p>\n<p><strong>Another Example!<\/strong><br \/>\nYou can use grids to show how money relates to fractions and decimals.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11384\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-18.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 18\" width=\"657\" height=\"362\" \/><\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><br \/>\nQuestion 1.<br \/>\nHow can you use grids to represent $4.71?<br \/>\nAnswer:<\/p>\n<p><strong>Do You Know How?<\/strong><br \/>\nQuestion 2.<br \/>\nWrite a decimal and a fraction for the part of the grid that is shaded.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11385\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-19.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 19\" width=\"74\" height=\"85\" \/><br \/>\nAnswer: There are 10 blocks of which 5 are shaded and 5 are not shaded.<br \/>\nSo, the decimal of the shaded part is 0.5<br \/>\nThe fraction of the shaded part is \\(\\frac{5}{10}\\)<\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p>For 3-6, write a decimal and fraction for each diagram.<br \/>\nQuestion 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11386\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-20.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 20\" width=\"81\" height=\"86\" \/><br \/>\nAnswer: There are 100 blocks of which 4 are shaded and 96 are not shaded.<br \/>\nSo, the decimal of the shaded part is 0.04<br \/>\nThe fraction of the shaded part is \\(\\frac{4}{100}\\)<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11387\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-21.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 21\" width=\"159\" height=\"85\" \/><br \/>\nAnswer: There are 200 blocks of which 154 are shaded and 46 are not shaded.<br \/>\nSo, the decimal of the shaded part is 0.77<br \/>\nThe fraction of the shaded part is \\(\\frac{154}{200}\\)<\/p>\n<p>Question 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11388\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-22.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 22\" width=\"85\" height=\"79\" \/><br \/>\nAnswer: There are 100 blocks of which 39 are shaded and 61 are not shaded.<br \/>\nSo, the decimal of the shaded part is 0.39<br \/>\nThe fraction of the shaded part is \\(\\frac{39}{100}\\)<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11389\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-23.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 23\" width=\"111\" height=\"163\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 7.<br \/>\nThe arena of the Colosseum in Rome was about \\(\\frac{15}{100}\\) of the entire Colosseum. Write this amount as a decimal.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11390\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-24.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 24\" width=\"338\" height=\"245\" \/><br \/>\nAnswer:<br \/>\nGiven,<br \/>\nThe arena of the Colosseum in Rome was about \\(\\frac{15}{100}\\) of the entire Colosseum.<br \/>\nThe fraction \\(\\frac{15}{100}\\) can be written as 0.15.<\/p>\n<p>Question 8.<br \/>\nWhat fraction of the Colosseum was NOT the arena? Write and solve an equation.<br \/>\nAnswer:<br \/>\n\\(\\frac{100}{100}\\) &#8211; \\(\\frac{15}{100}\\) = \\(\\frac{85}{100}\\)<\/p>\n<p>Question 9.<br \/>\nVocabulary Write the vocabulary word that best completes the sentence:<br \/>\nJelena says, &#8220;One dime is one ________ of a dollar.&#8221;<br \/>\nAnswer:<br \/>\nJelena says, &#8220;One dime is one tenth of a dollar.&#8221;<\/p>\n<p>Question 10.<br \/>\n<strong>Number Sense<\/strong> About how much of the rectangle is shaded green? Write this amount as a fraction and as a decimal.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11391\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-25.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 25\" width=\"268\" height=\"61\" \/><br \/>\nAnswer: \\(\\frac{1}{10}\\) or 0.1<\/p>\n<p>Question 11.<br \/>\n<strong>Critique Reasoning<\/strong> Cher adds up the money in her piggy bank. She has a one-dollar bill and 3 dimes. Did Cher write the amount of money correctly? If not, what mistake did Cher make? $1.3<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nCher adds up the money in her piggy bank. She has a one-dollar bill and 3 dimes.<br \/>\nThe amount of money is always written in hundredths. Cher should have written $1.30<\/p>\n<p>Question 12.<br \/>\n<strong>Higher Order Thinking<\/strong> The diagram models the plants in a vegetable garden. Write a fraction and a decimal for each vegetable in the garden.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11392\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-26.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 26\" width=\"138\" height=\"153\" \/><br \/>\nAnswer:<br \/>\nRadishes: \\(\\frac{23}{100}\\), 0.23<br \/>\nCarrots: \\(\\frac{35}{100}\\), 0.35<br \/>\nCorn: \\(\\frac{15}{100}\\), 0.15<br \/>\nLettuce: \\(\\frac{27}{100}\\), 0.27<\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 13.<br \/>\nWhich decimal represents \\(\\frac{5}{100}\\)?<br \/>\nA. 0.05<br \/>\nB. 0.5<br \/>\nC. 0.50<br \/>\nD. 0.95<br \/>\nAnswer:<br \/>\nGiven the fraction \\(\\frac{5}{100}\\)<br \/>\nIt can be written in the decimal form as 0.05.<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 14.<br \/>\nWhich fraction and decimal represent twenty-nine hundredths?<br \/>\nA. 0.29 and \\(\\frac{29}{10}\\)<br \/>\nB. 0.29 and \\(\\frac{100}{29}\\)<br \/>\nC. 2.9 and \\(\\frac{29}{100}\\)<br \/>\nD. 0.29 and \\(\\frac{29}{100}\\)<br \/>\nAnswer:<br \/>\ntwenty-nine hundredths mean 29 of hundred.<br \/>\nThe decimal form will be 0.29<br \/>\nThe fraction form is \\(\\frac{29}{100}\\).<br \/>\nThus the correct answer is option D.<\/p>\n<h3>Lesson 12.2 Fractions and Decimals on the Number Line<\/h3>\n<p><strong>Solve &amp; Share<\/strong><br \/>\nName the fractions and\/or decimals of each lettered point on the number lines. Tell how you decided.<br \/>\nI can &#8230; locate and describe fractions and decimals on number lines.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11393\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-27.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 27\" width=\"616\" height=\"497\" \/><\/p>\n<p>Look Back! Is the name for point B above different from the name for point B on the number line below? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11394\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-28.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 28\" width=\"498\" height=\"56\" \/><\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Locate Points on a Number Line?<\/p>\n<p>Visual Learning Bridge<br \/>\nIn long-track speed skating, each lap is \\(\\frac{4}{10}\\) kilometer. During practice, Elizabeth skated 3.75 kilometers. Draw a number line to show \\(\\frac{4}{10}\\) and 3.75.<br \/>\nYou can use a number line to locate and describe fractions and decimals.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11395\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-29.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 29\" width=\"443\" height=\"141\" \/><\/p>\n<p>Locate \\(\\frac{4}{10}\\) on a number line.<br \/>\nDraw a number line and divide the distance from 0 to 1 into 10 equal parts to show tenths.<br \/>\nThe distance from 0 to 0.4 is four tenths the distance from 0 to 1.<br \/>\nDraw a point at \\(\\frac{4}{10}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11396\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-30.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 30\" width=\"246\" height=\"80\" \/><\/p>\n<p>Locate 3.75 on a number line.<br \/>\nYou can show 3.75 on a number line divided into tenths by plotting a point halfway between 3.7 and 3.8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11397\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-31.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 31\" width=\"346\" height=\"93\" \/><br \/>\nYou can use a second number line to show the interval between 3.7 and 3.8. The points on both number lines are at 3.75.<\/p>\n<p>Convince Me! Be Precise Which decimal shown on the number line is not placed in the correct location? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11398\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-32.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 32\" width=\"519\" height=\"52\" \/><\/p>\n<p><strong>Another Example!<\/strong><br \/>\nFractions and decimals can name the same points on a number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11399\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-33.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 33\" width=\"266\" height=\"57\" \/><br \/>\nMixed numbers and decimals can name the the same points on a number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11400\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-34.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 34\" width=\"277\" height=\"60\" \/><\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><br \/>\nQuestion 1.<br \/>\nLocate\\(\\frac{45}{100}\\) on the number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11401\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-35.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 35\" width=\"285\" height=\"52\" \/><br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nDraw a number line to represent both the decimal and fraction for eight tenths.<br \/>\nAnswer:<\/p>\n<p><strong>Do You Know How?<\/strong><br \/>\nFor 3-6, name the decimal and fraction for each point on the number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11402\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-36.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 36\" width=\"317\" height=\"91\" \/><br \/>\nQuestion 3.<br \/>\nE<br \/>\nAnswer:<br \/>\nThe decimal at E point is 0.6.<br \/>\nThe fraction at E point is 6\/100.<\/p>\n<p>Question 4.<br \/>\nH.<br \/>\nAnswer:<br \/>\nThe decimal at H point is 1.4.<br \/>\nThe fraction at H point is 7\/5.<\/p>\n<p>Question 5.<br \/>\nF<br \/>\nAnswer:<br \/>\nThe decimal at F point is 1.33<br \/>\nThe fraction at F point is 133\/100.<\/p>\n<p>Question 6.<br \/>\nG<br \/>\nAnswer:<br \/>\nThe decimal at G point is 1.39<br \/>\nThe fraction at G point is 139\/100<\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p>For 7-8, label the number lines with the given fractions and decimals.<br \/>\nQuestion 7.<br \/>\nRepresent the decimals and fractions from 3.08 to 3.13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11403\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-37.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 37\" width=\"279\" height=\"56\" \/><br \/>\nAnswer:<\/p>\n<p>Question 8.<br \/>\nRepresent the fractions and decimals from \\(\\frac{4}{10}\\) to 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11403\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-37.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 37\" width=\"279\" height=\"56\" \/><br \/>\nAnswer:<\/p>\n<p>For 9-16, name the decimal and fraction for each point on the number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11404\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-38.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 38\" width=\"648\" height=\"48\" \/><\/p>\n<p>Question 9.<br \/>\nJ<br \/>\nAnswer:<br \/>\nThe decimal at the point J is 4.66<br \/>\nThe fraction at the point J is 233\/50<\/p>\n<p>Question 10.<br \/>\nK<br \/>\nAnswer:<br \/>\nThe decimal at the point K is 4.62<br \/>\nThe fraction at the point K is 231\/50.<\/p>\n<p>Question 11.<br \/>\nL<br \/>\nAnswer:<br \/>\nThe decimal at the point L is 4.8<br \/>\nThe fraction at the point L is 48\/100.<\/p>\n<p>Question 12.<br \/>\nM<br \/>\nAnswer:<br \/>\nThe decimal at the point M is 4.53<br \/>\nThe fraction at the point M is 453\/100.<\/p>\n<p>Question 13.<br \/>\nN<br \/>\nAnswer:<br \/>\nThe decimal at the point N is 4.69<br \/>\nThe fraction at the point N is 469\/100.<\/p>\n<p>Question 14.<br \/>\nO<br \/>\nAnswer:<br \/>\nThe decimal at the point 0 is 4.76<br \/>\nThe fraction at the point 0 i<span style=\"font-size: inherit; letter-spacing: 0px;\">s 119\/25.<\/span><\/p>\n<p>Question 15.<br \/>\nP<br \/>\nAnswer:<br \/>\nThe decimal at the point P is 4.6<br \/>\nThe fraction at the point P is 23\/5.<\/p>\n<p>Question 16.<br \/>\nQ<br \/>\nAnswer:<br \/>\nThe decimal at the point Q is 3.59<br \/>\nThe fraction at the point Q is 359\/100<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 17.<br \/>\nWrite the five missing decimals on the number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11405\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-39.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 39\" width=\"297\" height=\"47\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18886\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-39-1.png\" alt=\"Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-39\" width=\"297\" height=\"47\" \/><br \/>\nThe five missing decimals on the number line are 0.4, 0.6, 0.8, 1.2, and 1.4.<br \/>\nThe difference of the numbers in the number line is 0.2<\/p>\n<p>Question 18.<br \/>\nWrite the five missing fractions on the number line.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11406\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-40.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 40\" width=\"306\" height=\"53\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18887\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-40-1-300x52.png\" alt=\"Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-40\" width=\"300\" height=\"52\" \/><br \/>\nThe five missing fractions on the number line are 41\/100, 43\/100, 46\/100, 47\/100, and 50\/100.<br \/>\nThe difference of the fractions on the number line is 1\/100.<\/p>\n<p>Question 19.<br \/>\nDraw a number line to show 60 cents. Use the number line to write 60 cents as a fraction and as a decimal.<br \/>\nAnswer:<\/p>\n<p>Question 20.<br \/>\nMake Sense and Persevere Neil is learning about unusual units of volume. There are 2 pecks in 1 kenning. There are 2 kennings in 1 bushel. There are 8 bushels in 1 quarter. There are 5 quarters in 1 load. Write a number sentence to show how many pecks are in 1 load.<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\n2 pecks in 1 kenning.<br \/>\n2 kinnings in 1 bushel.<br \/>\n8 bushels in 1 quarter.<br \/>\n5 quarters in 1 load.<br \/>\nTherefore 2 pecks in 1 load.<\/p>\n<p>Question 21.<br \/>\nDraw a number line and plot a point at each number shown.<br \/>\n2\\(\\frac{71}{100}\\) 2.6 2\\(\\frac{82}{100}\\)<br \/>\nAnswer:<\/p>\n<p>Question 22.<br \/>\n<strong>Higher Order Thinking<\/strong> Use a number line to name two numbers that are the same distance apart as 3.2 and 3.8.<br \/>\nAnswer: 0 and 0.6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18889\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-2nd-Grade-Answer-Key-Topic-3-Add-Within-100-Using-Strategies-18-3-300x68.png\" alt=\"Envision-Math-Common-Core-2nd-Grade-Answer-Key-Topic-3-Add-Within-100-Using-Strategies-18\" width=\"300\" height=\"68\" \/><\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 23.<br \/>\nWhat decimals or fractions do the points on the number lines show? Choose the decimals and fractions from the box to label the number lines.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11407\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-41.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 41\" width=\"286\" height=\"246\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18890\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-41-1.png\" alt=\"Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-41\" width=\"286\" height=\"246\" \/><\/p>\n<p>Question 24.<br \/>\nWhat decimals or fractions do the points on the number lines show? Choose the decimals and fractions from the box to label the number lines.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11408\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-42.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 42\" width=\"330\" height=\"247\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18891\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-42-1-300x225.png\" alt=\"Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-42\" width=\"300\" height=\"225\" \/><\/p>\n<h3>Lesson 12.3 Compare Decimals<\/h3>\n<p><strong>Solve &amp; Share<\/strong><br \/>\nA penny made in 1982 weighs about 0.11 ounce. A penny made in 2013 weighs about 0.09 ounce. Which penny weighs more? Solve this problem any way you choose.<br \/>\nI can &#8230; compare decimals by reasoning about their size.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11409\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-43.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 43\" width=\"392\" height=\"375\" \/><\/p>\n<p>Look Back! Construct Arguments Simon and Danielle are eating oranges. Danielle says, &#8220;Because we each have 0.75 of an orange left, we have the same amount left to eat.&#8221; Do you agree with Danielle? Explain.<\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Do You Compare Decimals?<\/p>\n<p>Visual Learning Bridge<br \/>\nDonovan ran the 100-meter race in 10.11 seconds. Sal ran the same race in 10.09 seconds. Who had the faster time?<br \/>\nThere is more than one way to compare decimals.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11410\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-44.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 44\" width=\"180\" height=\"209\" \/><\/p>\n<p><strong>One Way<\/strong><br \/>\nUse hundredths grids.<br \/>\nThe whole numbers are the same. Compare the digits in the tenths place.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11411\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-45.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 45\" width=\"190\" height=\"144\" \/><br \/>\nSal had the faster time.<\/p>\n<p><strong>Another Way<\/strong><br \/>\nUse place value.<br \/>\nThe whole number parts are the same.<br \/>\nThe decimal parts are both to the hundredths.<br \/>\n11 hundredths is greater than 9 hundredths.<br \/>\n10.11 &gt;10.09<br \/>\nSal had the faster time.<\/p>\n<p><strong>Another Way<\/strong><br \/>\nStart at the left.<br \/>\nCompare each place value. Look for the first place where the digits are different.<br \/>\n10.11 10.09<br \/>\n1 tenth &gt; 0 tenths<br \/>\n10.11 &gt; 10.09<br \/>\nSal had the faster time.<\/p>\n<p>Convince Me! Reasoning Write four different digits in the blank spaces to make each comparison true. Explain your reasoning.<br \/>\n0. ______ 8 &lt; 0.______ 0.5 _____ &gt; 0.______ 9<\/p>\n<p><strong>Another Example!<\/strong><br \/>\nYou can also use place-value blocks or number lines to compare.<br \/>\nGrids, place-value blocks, and number lines are all appropriate tools to use for comparing decimals. When using place-value blocks, let<br \/>\nthe flat equal one whole.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11412\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-46.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 46\" width=\"443\" height=\"99\" \/><\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><br \/>\nQuestion 1.<br \/>\nCy says, \u201c0.20 is greater than 0.2 because 20 is greater than 2.&#8221; Do you agree? Explain.<br \/>\nAnswer: No 0.20 and 0.2 are equal in the decimal. Because 0 after 2 will remain the same and 0 before 2 will make a lot of change as it becomes hundredths.<\/p>\n<p><strong>Do You Know How?<\/strong><br \/>\nFor 2-5, write &gt;, &lt;, or = in each <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/>. Use an appropriate tool as needed to compare.<br \/>\nQuestion 2.<br \/>\n0.70 <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> 0.57<br \/>\nAnswer:<br \/>\n0.70 &gt;\u00a00.57<\/p>\n<p>Question 3.<br \/>\n0.41 <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> 0.14<br \/>\nAnswer:<br \/>\n0.41 &gt;\u00a00.14<\/p>\n<p>Question 4.<br \/>\n6.28 <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> 7.31<br \/>\nAnswer:<br \/>\n6.28 &lt;\u00a07.31<\/p>\n<p>Question 5.<br \/>\n1.1 <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> 1.10<br \/>\nAnswer:<br \/>\n1.1 =\u00a01.10<\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p>Leveled Practice For 6-14, write &gt;,&lt;, or = in each <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/>. Use an appropriate tool as needed to compare.<br \/>\nQuestion 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11413\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-47.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 47\" width=\"201\" height=\"88\" \/><br \/>\nAnswer:<br \/>\n0.17 &lt; 0.2<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11414\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-48.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 48\" width=\"203\" height=\"116\" \/><br \/>\nAnswer:<br \/>\n0.31 &gt; 0.29<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11415\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-49.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 49\" width=\"167\" height=\"111\" \/><br \/>\nAnswer:<br \/>\n0.44 &gt; 0.22<\/p>\n<p>Question 9.<br \/>\n0.1 <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> 0.1 0<br \/>\nAnswer:<br \/>\n0.1 = 0.10<\/p>\n<p>Question 10.<br \/>\n$2.98 <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> $2.56<br \/>\nAnswer:<br \/>\n$2.98 &gt;\u00a0$2.56<\/p>\n<p>Question 11.<br \/>\n7.01 <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> 7.1<br \/>\nAnswer:<br \/>\n7.01 &gt;\u00a07.1<\/p>\n<p>Question 12.<br \/>\n0.08 <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> 0.7<br \/>\nAnswer:<br \/>\n0.08 &lt;\u00a00.7<\/p>\n<p>Question 13.<br \/>\n3.40 <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> 3.4<br \/>\nAnswer:<br \/>\n3.40 =\u00a03.4<\/p>\n<p>Question 14.<br \/>\n$21.50 <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> $20.99<br \/>\nAnswer:<br \/>\n$21.50 &gt;\u00a0$20.99<\/p>\n<p>For 15-20, write a decimal to make each comparison true.<br \/>\nQuestion 15.<br \/>\n______ &lt; 0.23<br \/>\nAnswer:<br \/>\n0.20 &lt; 0.23<\/p>\n<p>Question 16.<br \/>\n8.60 = _______<br \/>\nAnswer:<br \/>\n8.60 = 8.60<\/p>\n<p>Question 17.<br \/>\n______ &gt; 4.42<br \/>\nAnswer:<br \/>\n3.43 &gt; 4.42<\/p>\n<p>Question 18.<br \/>\n13.2 &gt; ______<br \/>\nAnswer:<br \/>\n13.2 &gt; 12.4<\/p>\n<p>Question 19.<br \/>\n5.2 &lt; ______<br \/>\nAnswer:<br \/>\n5.2 &lt; 4.3<\/p>\n<p>Question 20.<br \/>\n6.2 = ______<br \/>\nAnswer:<br \/>\n6.2 = 6.2<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 21.<br \/>\nUse Appropriate Tools Maria timed how long it took her Venus Fly Trap to close. The first time it took 0.43 second to close. The second time took 0.6 second to close. Which was the faster time? Draw place-value blocks to show your comparison.<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nMaria took a time to her venus fly trap to close for first time = 0.43<br \/>\nMaria took a time to her venus fly trap to close for second time = 0.6<br \/>\nSecond time was the faster time.<\/p>\n<p>Question 22.<br \/>\nFishing lures have different weights. Which lure weighs more?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11416\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-50.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 50\" width=\"263\" height=\"224\" \/><br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nThe weight of the yellow minnow fishing lures = 0.63<br \/>\nThe weight of the green minnow fishing lures = 0.5<br \/>\nYellow minnow fishing lures is more than green minnow fishing lures.<br \/>\nSo, 0.63 &gt; 0.5<\/p>\n<p>Question 23.<br \/>\n<strong>Number Sense<\/strong> Ellen wants to give 100 toys to each of 9 charities. In one week, she collects 387 toys. The next week, she collects 515 toys. Has Ellen reached her goal? Use an estimate to explain.<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nEllen wants to give 100 toys to each of 9 charities.<br \/>\nTotal number of toys she collected in one week = 387<br \/>\nTotal number of toys she collected in next week = 515<br \/>\nTotal number of toys she collected = 387 + 515 = 902<br \/>\n100 toys to each of 9 charities = 9 \u00d7 100 = 900<br \/>\nSo, she reached her goal.<\/p>\n<p>Question 24.<br \/>\n<strong>Higher Order Thinking<\/strong> Tori has two different-sized water bottles. In the larger bottle, she has 0.81 liter of water. In the smaller bottle, she has 1.1 liters of water. Can you tell whether one bottle has more water? Explain.<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nIn the longer bottle she has a water = 0.81 liter.<br \/>\nIn the smaller bottle she has a water\u00a0 = 1.1 liter.<br \/>\n0.81 &gt; 1.1<br \/>\nSo, the smaller has more water.<\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 25.<br \/>\nStanley found the weights of two minerals, quartz and garnet. The quartz weighed 3.76 ounces and the garnet weighed 3.68 ounces.<\/p>\n<p>Explain how Stanley can use a tool to find which mineral weighed more.<\/p>\n<p>Explain how Stanley can use place value to find which mineral weighed less.<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nThe weight of a quartz = 3.76 ounces<br \/>\nThe weight of a garnet = 3.68 ounces<br \/>\nTherefore 3.68 &gt; 3.75<br \/>\nThe weight of a quartz is more than the weight of a garnet<br \/>\nUsing the place value<br \/>\n3.68 and 3.75<br \/>\nTen&#8217;s place of a numbers are<br \/>\n6 &lt; 7<br \/>\nThe weight of a quartz is more.<\/p>\n<h3>Lesson 12.4 Add Fractions with Denominators of 10 and 100<\/h3>\n<p><strong>Solve &amp; Share<\/strong><br \/>\nThe mural is divided into 100 equal parts. Marilyn&#8217;s class painted io of the mural, and Cal&#8217;s class painted 20 of the mural. How much of the mural have the two classes painted? Solve this problem any way you choose.<br \/>\nI can &#8230; use equivalence to add fractions with denominators of 10 and 100.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11417\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-51.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 51\" width=\"147\" height=\"138\" \/><br \/>\nYou can use appropriate tools. Think about how you can use the grid to find how much of the mural the two classes painted. Show your work in the space above!<\/p>\n<p>Look Back! How much of the mural remains to be painted? Write the amount as a decimal.<\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHall How Can You Add Fractions with Denominators of 10 and 100?<\/p>\n<p>Visual Learning Bridge<br \/>\nSteve and Jana collected money for an animal shelter. Steve collected \\(\\frac{4}{10}\\) of their goal while Jana collected \\(\\frac{5}{100}\\). How much of their goal did Jana and Steve collect?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11418\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-52.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 52\" width=\"288\" height=\"183\" \/><br \/>\nUse like denominators to add fractions.<\/p>\n<p>The red shows \\(\\frac{4}{10}\\) of the goal, and the blue shows \\(\\frac{5}{100}\\) of the goal.<br \/>\nThe amount they collected can be written as to \\(\\frac{4}{10}\\) + \\(\\frac{5}{100}\\)<br \/>\nYou can use equivalent fractions to write tenths as hundredths.<\/p>\n<p>Rename \\(\\frac{4}{10}\\) as an equivalent fraction with a denominator of 100.<br \/>\nMultiply the numerator and denominator by 10.<br \/>\n\\(\\frac{4 \\times 10}{10 \\times 10}=\\frac{40}{100}\\)<\/p>\n<p>Add the numerators and write the sum over the like denominator.<br \/>\n\\(\\frac{40}{100}\\) + \\(\\frac{5}{100}\\) = \\(\\frac{45}{100}\\)<br \/>\nJana and Steve collected \\(\\frac{45}{100}\\) of their goal.<\/p>\n<p>Convince Me! Construct Arguments in the problem above, why is the denominator of the total 100 and not 200?<\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><br \/>\nQuestion 1.<br \/>\nSuppose Jana collected another \\(\\frac{25}{100}\\) of their goal. What fraction of the goal have they now collected?<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nJana collected money = \\(\\frac{5}{100}\\).<br \/>\nJana collected another \\(\\frac{25}{100}\\).<br \/>\nFraction of goal have they collected =<br \/>\n\\(\\frac{5}{100}\\) + \\(\\frac{25}{100}\\) =<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n\\(\\frac{5}{100}\\) + \\(\\frac{25}{100}\\) =\\(\\frac{30}{100}\\)<\/p>\n<p>Question 2.<br \/>\nWrite a problem that represents the addition shown below, then solve.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11419\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-53.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 53\" width=\"176\" height=\"93\" \/><br \/>\nAnswer:<\/p>\n<p><strong>Do You Know How?<\/strong><br \/>\nFor 3-8, add the fractions.<br \/>\nQuestion 3.<br \/>\n\\(\\frac{3}{10}+\\frac{4}{100}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nLCM of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{3}{10}\\) \u00d7 \\(\\frac{10}{10}\\)) + (\\(\\frac{4}{100}\\) \u00d7 \\(\\frac{1}{1}\\))<br \/>\n\\(\\frac{30}{100}\\) + \\(\\frac{4}{100}\\) = \\(\\frac{34}{100}\\)<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{71}{100}+\\frac{5}{10}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{71}{100}\\) \u00d7 \\(\\frac{1}{1}\\)) + (\\(\\frac{5}{10}\\) \u00d7 \\(\\frac{10}{10}\\))<br \/>\n\\(\\frac{71}{100}\\) + \\(\\frac{50}{100}\\) = \\(\\frac{121}{100}\\)<\/p>\n<p>Question 5.<br \/>\n\\(\\frac{4}{100}+\\frac{38}{10}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{4}{100}\\) \u00d7 \\(\\frac{1}{1}\\)) + (\\(\\frac{38}{10}\\) \u00d7 \\(\\frac{10}{10}\\))<br \/>\n\\(\\frac{4}{100}\\) + \\(\\frac{380}{100}\\) = \\(\\frac{384}{100}\\)<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{90}{100}+\\frac{1}{10}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{90}{100}\\) \u00d7 \\(\\frac{1}{1}\\)) + (\\(\\frac{1}{10}\\) \u00d7 \\(\\frac{10}{10}\\))<br \/>\n\\(\\frac{90}{100}\\) + \\(\\frac{10}{100}\\) = \\(\\frac{100}{100}\\) = 1<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{8}{10}+\\frac{1}{10}+\\frac{7}{100}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{9}{10}\\) \u00d7 \\(\\frac{10}{10}\\)) + (\\(\\frac{7}{100}\\) \u00d7 \\(\\frac{1}{1}\\))<br \/>\n\\(\\frac{90}{100}\\) + \\(\\frac{7}{100}\\) = \\(\\frac{97}{100}\\)<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{38}{100}+\\frac{4}{10}+\\frac{2}{10}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{38}{100}\\) \u00d7 \\(\\frac{1}{1}\\)) + (\\(\\frac{6}{10}\\) \u00d7 \\(\\frac{10}{10}\\))<br \/>\n\\(\\frac{38}{100}\\) + \\(\\frac{60}{100}\\) = \\(\\frac{98}{100}\\)<\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p>Leveled Practice For 9-23, add the fractions.<br \/>\nQuestion 9.<br \/>\n\\(\\frac{21}{100}+\\frac{2}{10}=\\frac{21}{100}+\\frac{ }{100}\\)<br \/>\nAnswer :<br \/>\nGiven,<br \/>\n\\(\\frac{21}{100}+\\frac{2}{10}=\\frac{21}{100}+\\frac{ }{100}\\)<br \/>\nWe have to find the missing number.<br \/>\n\\(\\frac{21}{100}+\\frac{2}{10}\\)<br \/>\nLCM of 10 and 100 is 100.<br \/>\n= \\(\\frac{21}{100}+\\frac{20}{100}\\) = \\(\\frac{41}{100}\\)<br \/>\nSo, the missing fraction is \\(\\frac{20}{100}\\)<br \/>\n\\(\\frac{21}{100}+\\frac{2}{10}=\\frac{21}{100}+\\frac{20}{100}\\)<\/p>\n<p>Question 10.<br \/>\n\\(\\frac{ }{10}+\\frac{68}{100}=\\frac{30}{100}+\\frac{68}{100}\\)<br \/>\nAnswer:<br \/>\nGiven,<br \/>\n\\(\\frac{ }{10}+\\frac{68}{100}=\\frac{30}{100}+\\frac{68}{100}\\)<br \/>\nWe have to find the missing number.<br \/>\nLCM of 10 and 100 is 100.<br \/>\n\\(\\frac{30}{100}\\) = \\(\\frac{3}{10}\\)<br \/>\nSo, the missing fraction is \\(\\frac{3}{10}\\)<br \/>\n\\(\\frac{3}{10}+\\frac{68}{100}=\\frac{30}{100}+\\frac{68}{100}\\)<\/p>\n<p>Question 11.<br \/>\n\\(\\frac{4}{10}+\\frac{60}{100}=\\frac{ }{10}+\\frac{ }{10}\\)<br \/>\nAnswer:<br \/>\nGiven,<br \/>\n\\(\\frac{4}{10}+\\frac{60}{100}=\\frac{ }{10}+\\frac{ }{10}\\)<br \/>\nWe have to find the missing number.<br \/>\nLCM of 10 and 100 is 100.<br \/>\n\\(\\frac{60}{100}\\) = \\(\\frac{6}{10}\\)<br \/>\n\\(\\frac{4}{10}\\) = \\(\\frac{4}{10}\\)<br \/>\nSo, the missing fraction is \\(\\frac{6}{10}\\) and \\(\\frac{4}{10}\\)<br \/>\n\\(\\frac{4}{10}+\\frac{60}{100}=\\frac{4}{10}+\\frac{6}{10}\\)<\/p>\n<p>Question 12.<br \/>\n\\(\\frac{32}{100}+\\frac{28}{100}+\\frac{6}{10}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{60}{100}\\) \u00d7 \\(\\frac{1}{1}\\)) + (\\(\\frac{6}{10}\\) \u00d7 \\(\\frac{10}{10}\\))<br \/>\n\\(\\frac{60}{100}\\) + \\(\\frac{60}{100}\\) = \\(\\frac{120}{100}\\)<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{11}{10}+\\frac{41}{100}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{11}{10}\\) \u00d7 \\(\\frac{10}{10}\\)) + (\\(\\frac{41}{100}\\) \u00d7 \\(\\frac{1}{1}\\))<br \/>\n\\(\\frac{110}{100}\\) + \\(\\frac{41}{100}\\) = \\(\\frac{151}{100}\\)<\/p>\n<p>Question 14.<br \/>\n\\(\\frac{72}{100}+\\frac{6}{10}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{72}{100}\\) \u00d7 \\(\\frac{1}{1}\\)) + (\\(\\frac{6}{10}\\) \u00d7 \\(\\frac{100}{100}\\))<br \/>\n\\(\\frac{72}{100}\\) + \\(\\frac{600}{100}\\) = \\(\\frac{672}{100}\\)<\/p>\n<p>Question 15.<br \/>\n\\(\\frac{5}{10}+\\frac{3}{10}+\\frac{18}{100}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{8}{10}\\) \u00d7 \\(\\frac{10}{10}\\)) + (\\(\\frac{18}{100}\\) \u00d7 \\(\\frac{1}{1}\\))<br \/>\n\\(\\frac{80}{100}\\) + \\(\\frac{18}{100}\\) = \\(\\frac{98}{100}\\)<\/p>\n<p>Question 16.<br \/>\n\\(\\frac{7}{100}+\\frac{6}{10}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{7}{100}\\) \u00d7 \\(\\frac{1}{1}\\)) + (\\(\\frac{6}{10}\\) \u00d7 \\(\\frac{10}{10}\\))<br \/>\n\\(\\frac{7}{100}\\) + \\(\\frac{60}{100}\\) = \\(\\frac{67}{100}\\)<\/p>\n<p>Question 17.<br \/>\n\\(\\frac{9}{10}+\\frac{4}{100}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{9}{10}\\) \u00d7 \\(\\frac{10}{10}\\)) + (\\(\\frac{4}{100}\\) \u00d7 \\(\\frac{10}{10}\\))<br \/>\n\\(\\frac{90}{100}\\) + \\(\\frac{40}{100}\\) = \\(\\frac{130}{100}\\)<\/p>\n<p>Question 18.<br \/>\n\\(\\frac{30}{100}+\\frac{5}{10}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{30}{100}\\) \u00d7 \\(\\frac{1}{1}\\)) + (\\(\\frac{5}{10}\\) \u00d7 \\(\\frac{10}{10}\\))<br \/>\n\\(\\frac{30}{100}\\) + \\(\\frac{50}{100}\\) = \\(\\frac{80}{100}\\)<\/p>\n<p>Question 19.<br \/>\n\\(\\frac{39}{100}+\\frac{2}{10}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{39}{100}\\) \u00d7 \\(\\frac{1}{1}\\)) + (\\(\\frac{2}{10}\\) \u00d7 \\(\\frac{10}{10}\\))<br \/>\n\\(\\frac{39}{100}\\) + \\(\\frac{20}{100}\\) = \\(\\frac{59}{100}\\)<\/p>\n<p>Question 20.<br \/>\n\\(\\frac{8}{10}+\\frac{9}{100}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{8}{10}\\) \u00d7 \\(\\frac{10}{10}\\)) + (\\(\\frac{9}{100}\\) \u00d7 \\(\\frac{1}{1}\\))<br \/>\n\\(\\frac{80}{100}\\) + \\(\\frac{9}{100}\\) = \\(\\frac{89}{100}\\)<\/p>\n<p>Question 21.<br \/>\n\\(\\frac{44}{100}+\\frac{34}{100}+\\frac{9}{10}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{78}{100}\\) \u00d7 \\(\\frac{1}{1}\\)) + (\\(\\frac{9}{10}\\) \u00d7 \\(\\frac{10}{10}\\))<br \/>\n\\(\\frac{78}{100}\\) + \\(\\frac{90}{100}\\) = \\(\\frac{168}{100}\\)<\/p>\n<p>Question 22.<br \/>\n\\(\\frac{70}{10}+\\frac{33}{100}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{70}{10}\\) \u00d7 \\(\\frac{10}{10}\\)) + (\\(\\frac{33}{100}\\) \u00d7 \\(\\frac{1}{1}\\))<br \/>\n\\(\\frac{700}{100}\\) + \\(\\frac{33}{100}\\) = \\(\\frac{733}{100}\\)<\/p>\n<p>Question 23.<br \/>\n\\(\\frac{28}{10}+\\frac{72}{10}+\\frac{84}{100}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{100}{10}\\) \u00d7 \\(\\frac{10}{10}\\)) + (\\(\\frac{84}{100}\\) \u00d7 \\(\\frac{1}{1}\\))<br \/>\n\\(\\frac{1000}{100}\\) + \\(\\frac{84}{100}\\) = \\(\\frac{1084}{100}\\)<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 24.<br \/>\nAlgebra A mail carrier made a total of 100 deliveries in a day. \\(\\frac{76}{100}\\) of the deliveries were letters, \\(\\frac{2}{10}\\) were packages, and the rest were postcards. Write and solve an equation to find the fraction that represents how many of the deliveries were letters and packages.<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nA mail carrier made a total of 100 deliveries in a day.<br \/>\n\\(\\frac{76}{100}\\) of the deliveries were letters, \\(\\frac{2}{10}\\) were packages, and the rest were postcards.<br \/>\n\\(\\frac{76}{100}\\) + \\(\\frac{2}{10}\\)<br \/>\n\\(\\frac{76}{100}\\) + \\(\\frac{20}{100}\\) = \\(\\frac{96}{100}\\)<\/p>\n<p>Question 25.<br \/>\nMake Sense and Persevere Balloons are sold in bags of 30. There are 5 giant balloons in each bag. How many giant balloons will you get if you buy 120 balloons? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11420\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-54.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 54\" width=\"283\" height=\"136\" \/><br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nTotal number of balloons solids in bags = 30<br \/>\nBalloons in each bag = 5<br \/>\nIf you buy 120 balloons how many bags do you have = 120\/5 = 24<br \/>\nFor 120 balloons 24 bags are filled.<\/p>\n<p>Question 26.<br \/>\n<strong>Higher Order Thinking<\/strong> of the first 100 elements on the periodic table, \\(\\frac{13}{100}\\) were discovered in ancient times, and \\(\\frac{21}{100}\\) were discovered in the Middle Ages. Another \\(\\frac{5}{10}\\) were discovered in the 1800s. What fraction of the first 100 elements was discovered after the 1800s? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11421\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-55.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 55\" width=\"341\" height=\"230\" \/><br \/>\nAnswer:<br \/>\n\\(\\frac{13}{100}\\) were discovered in ancient times.<span style=\"font-size: inherit; letter-spacing: 0px;\">\\(\\frac{21}{100}\\) were discovered in the Middle Ages.<br \/>\n<\/span><span style=\"font-size: inherit; letter-spacing: 0px;\">Another \\(\\frac{5}{10}\\) discovered after 1800.<br \/>\n<\/span>Find how many discovered after 1800 is<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{34}{100}\\) \u00d7 \\(\\frac{1}{1}\\)) + (\\(\\frac{5}{10}\\) \u00d7 \\(\\frac{10}{10}\\))<br \/>\n\\(\\frac{35}{100}\\) + \\(\\frac{50}{100}\\) = \\(\\frac{85}{100}\\)<br \/>\n\\(\\frac{85}{100}\\) are discovered after 1800.<\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 27.<br \/>\nDelia hiked \\(\\frac{7}{10}\\) mile one day and \\(\\frac{67}{10}\\) mile the next. She wanted to know how far she hiked in all. Her work is shown below.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11422\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-56.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 56\" width=\"178\" height=\"148\" \/><br \/>\nIs Delia&#8217;s work correct? Explain.<br \/>\nAnswer:<br \/>\nDelia hiked \\(\\frac{7}{10}\\) mile one day<br \/>\n\\(\\frac{67}{10}\\) mile the next.<br \/>\nShe hiked in all is<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nL.C.M of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{7}{10}\\) \u00d7 \\(\\frac{10}{10}\\)) + (\\(\\frac{67}{10}\\) \u00d7 \\(\\frac{10}{10}\\))<br \/>\n\\(\\frac{70}{100}\\) + \\(\\frac{670}{100}\\) = \\(\\frac{737}{100}\\)<br \/>\nDelia hiked in all =\\(\\frac{737}{100}\\)<\/p>\n<h3>Lesson 12.5 Solve Word Problems involving Money<\/h3>\n<p><strong>Solve &amp; Share<\/strong><br \/>\nA flash drive costs $24, including tax. A customer purchases 3 flash drives and pays the cashier $80. How much change should the cashier give back to the customer? Solve this problem any way you choose.<br \/>\nI can &#8230; use fractions or decimals to solve word problems involving money.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11423\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-57.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 57\" width=\"544\" height=\"438\" \/><\/p>\n<p>Look Back! Generalize How can you estimate and check if your solution is reasonable?<\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Solve Word Problems Involving Money?<\/p>\n<p>Visual Learning Bridge<br \/>\nMarcus buys a toy airplane and a toy car. How much does Marcus spend? How much more does the toy airplane cost than the toy car?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11424\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-58.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 58\" width=\"349\" height=\"162\" \/><br \/>\nYou can draw or use bills and coins to solve problems involving money.<\/p>\n<p>Find $3.32 + $1.12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11425\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-59.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 59\" width=\"304\" height=\"200\" \/><br \/>\nAdd the bills, then count on to add each type of coin.<br \/>\n$4.00 + $0.40 + $0.04 = $4.44<br \/>\nMarcus spent $4.44.<\/p>\n<p>Find $3.32 &#8211; $1.12.<br \/>\nStart with the cost of the airplane, then subtract the cost of the car.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11426\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-60.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 60\" width=\"317\" height=\"97\" \/><br \/>\nCount the remaining bills and coins.<br \/>\n$2.00 + $0.20 = $2.20<br \/>\nThe toy airplane costs $2.20 more than the toy car.<\/p>\n<p>Convince Me! Use Structure in the examples above, how can you use place value to help add or subtract?<\/p>\n<p><strong>Another Example!<\/strong><br \/>\nFind $6.33 \u00f7 3. Draw or use bills and coins.<br \/>\nYou can use multiplication or division to solve problems involving money.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11427\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-61.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 61\" width=\"662\" height=\"158\" \/><\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Do You Understand?<\/strong><br \/>\nQuestion 1.<br \/>\nWrite a fraction and a decimal to describe how the quantities are related.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11428\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-62.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 62\" width=\"310\" height=\"99\" \/><br \/>\nAnswer:<br \/>\nOne coin = 1\/10 of a dollar = $0.10<br \/>\nThree coins = 1\/10 + 1\/10 + 1\/10 = $0.3<\/p>\n<p>Question 2.<br \/>\nWrite a fraction and a decimal to describe how the quantities are related.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11429\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-63.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 63\" width=\"302\" height=\"109\" \/><br \/>\nAnswer:<br \/>\nOne coin = 1\/100 of a dollar = $0.01<br \/>\nThree coins = 1\/100 + 1\/100 + 1\/100 = $0.01<\/p>\n<p><strong style=\"font-size: inherit; letter-spacing: 0px;\">Do You Know How?<\/strong><\/p>\n<p>For 3, use the bills and coins to solve.<br \/>\nQuestion 3.<br \/>\nMarcus has $15.00. He buys a movie ticket for $11.25. How much money does Marcus have left?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11430\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-64.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 64\" width=\"311\" height=\"208\" \/><br \/>\nAnswer:<br \/>\n<span style=\"font-size: inherit; letter-spacing: 0px;\">Given that,<br \/>\n<\/span>Marcus has a total amount = $15.00<br \/>\nMarcus buy a movie ticket for $11.25<br \/>\nMarcus left amount = $15.00 &#8211; $11.25 = 3.75<\/p>\n<p><strong style=\"font-size: inherit; letter-spacing: 0px;\">Independent Practice<\/strong><\/p>\n<p>For 4-5, you may draw or use bills and coins to solve.<br \/>\nQuestion 4.<br \/>\nSarah bought 3 wool scarves. The price of each scarf was $23.21. How much did 3 scarves cost?<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nSarah bought wool scarves = 3<br \/>\nThe price for each scarf= $23.21<br \/>\nTotal amount for 3 scarves = $23.21 \u00d7 3 = 69.63<\/p>\n<p>Question 5.<br \/>\nCarlos spends $14.38 on equipment. How much change should Carlos receive if he gives the clerk $20.00?<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nCarlos spends on equipment = $14.38<br \/>\nHe give the clerk = $20.00<br \/>\nCarlos received tha change = $20.00 &#8211; $14.38 =$6.62<\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p>Question 6.<br \/>\nUse Structure Leo went to lunch with his parents. The bill was $17.85. Complete the table to show two different combinations of coins and bills that can represent $17.85.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11431\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answers-Topic-12-Understand-and-Compare-Decimals-65.png\" alt=\"Envision Math Common Core 4th Grade Answers Topic 12 Understand and Compare Decimals 65\" width=\"428\" height=\"218\" \/><br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nKenya purchases a new tablet for $109.78. She pays with six $20 bills. Show how you would estimate how much change Kenya should receive.<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nKenya purchases a new tablet for $109.78<br \/>\nShe pay with six $20 bills = 6 \u00d7 20 = 120<br \/>\nKenya received change = $120 &#8211; $109.78 =$11.78<\/p>\n<p>Question 8.<br \/>\nAlgebra Marco paid $12 for 3 jump ropes. If each jump rope costs the same amount, how much does 1 jump rope cost? Write and solve an equation.<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nAlgebra Marco paid $12 for 3 jump ropes.<br \/>\nFor each jump = 12\/3 = $4<br \/>\nFor each jump cost = $4<\/p>\n<p>Question 9.<br \/>\n<strong>Number Sense<\/strong> Jiang has a collection of 3,788 toy building bricks. He used 1,229 bricks to build a city. About how many bricks does Jiang have left? Explain how you estimated.<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nJiang has a collection of toy building bricks = 3788<br \/>\nJiang used bricks to build a city = 1229<br \/>\nJiang has left = 3788 &#8211; 1229 = 2559<\/p>\n<p>Question 10.<br \/>\n<strong>Higher Order Thinking<\/strong> Edward bought 7 concert tickets for himself and six friends for a total of $168. Each friend paid Edward back for his or her ticket. If one of Edward&#8217;s friends gave him a $50 bill, how much change should Edward return? Explain.<br \/>\nAnswer:<br \/>\nEdward bought a concert tickets for himself and six friends for total = $168<br \/>\nMoney for each ticket = 168\/7 = $<\/p>\n<div id='contact-form-90102'>\n<form action='https:\/\/bigideasmathanswers.com\/envision-math-common-core-grade-4-answer-key-topic-12\/#contact-form-90102' method='post' class='contact-form commentsblock'>\n\n<div class='grunion-field-wrap grunion-field-name-wrap'  >\n<label\n\t\t\t\tfor='g90102-name'\n\t\t\t\tclass='grunion-field-label name'\n\t\t\t\t>Name<span>(required)<\/span><\/label>\n<input\n\t\t\t\t\ttype='text'\n\t\t\t\t\tname='g90102-name'\n\t\t\t\t\tid='g90102-name'\n\t\t\t\t\tvalue=''\n\t\t\t\t\tclass='name' \n\t\t\t\t\trequired aria-required='true'\n\t\t\t\t\/>\n\t<\/div>\n\n<div class='grunion-field-wrap grunion-field-email-wrap'  >\n<label\n\t\t\t\tfor='g90102-email'\n\t\t\t\tclass='grunion-field-label email'\n\t\t\t\t>Email<span>(required)<\/span><\/label>\n<input\n\t\t\t\t\ttype='email'\n\t\t\t\t\tname='g90102-email'\n\t\t\t\t\tid='g90102-email'\n\t\t\t\t\tvalue=''\n\t\t\t\t\tclass='email' \n\t\t\t\t\trequired aria-required='true'\n\t\t\t\t\/>\n\t<\/div>\n\n<div class='grunion-field-wrap grunion-field-url-wrap'  >\n<label\n\t\t\t\tfor='g90102-website'\n\t\t\t\tclass='grunion-field-label url'\n\t\t\t\t>Website<\/label>\n<input\n\t\t\t\t\ttype='url'\n\t\t\t\t\tname='g90102-website'\n\t\t\t\t\tid='g90102-website'\n\t\t\t\t\tvalue=''\n\t\t\t\t\tclass='url' \n\t\t\t\t\t\n\t\t\t\t\/>\n\t<\/div>\n\n<div class='grunion-field-wrap grunion-field-textarea-wrap'  >\n<label\n\t\t\t\tfor='contact-form-comment-g90102-message'\n\t\t\t\tclass='grunion-field-label textarea'\n\t\t\t\t>Message<\/label>\n<textarea\n\t\t                name='g90102-message'\n\t\t                id='contact-form-comment-g90102-message'\n\t\t                rows='20' class='textarea'  ><\/textarea>\n\t<\/div>\n\t<p class='contact-submit'>\n\t\t<button type='submit' class='pushbutton-wide'>Submit<\/button>\t\t<input type='hidden' name='contact-form-id' value='90102' \/>\n\t\t<input type='hidden' name='action' value='grunion-contact-form' \/>\n\t\t<input type='hidden' name='contact-form-hash' value='8e54bebc0966bf7f9290fee5ef5e57c8a8c597c6' \/>\n\t<\/p>\n<\/form>\n<\/div>\n<p>24<\/p>\n<p><strong>Assessment Practice<\/strong><\/p>\n<p>Question 11.<br \/>\nRajeev bought a skateboard for $37.74. How much change should Rajeev receive if he gave the cashier $40.00? You may draw or use bills and coins to solve.<br \/>\nA. $2.26<br \/>\nB. $2.74<br \/>\nC. $3.26<br \/>\nD. $3.74<br \/>\nAnswer: $2.26<\/p>\n<p>Explanation:<br \/>\nGiven,<br \/>\nRajeev bought a skateboard for $37.74.<br \/>\nRajeev receive if he gave the cashier $40.00<br \/>\n40.00 &#8211; 37.74 = 2.26<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 12.<br \/>\nGenevieve bought a catcher&#8217;s mitt for $30.73 and a bat for $19.17. How much did Genevieve spend? You may draw or use bills and coins to solve.<br \/>\nA. $11.56<br \/>\nB. $49.17<br \/>\nC. $49.90<br \/>\nD. $50.73<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nGenevieve bought a catcher&#8217;s mitt for $30.73 and a bat for $19.17.<br \/>\n30.73 + 19.17 = $49.90<br \/>\nThus the correct answer is option C.<\/p>\n<h3>Lesson 12.6 Problem Solving<\/h3>\n<p><strong>Look For and Use Structure<\/strong><br \/>\n<strong>Solve &amp; Share<\/strong><br \/>\nThree people hiked the same 1-mile trail. The distance for each hiker is represented in the drawings. Show about where the 1-mile mark should be on each drawing. Explain.<br \/>\nI can &#8230; use the structure of the place-value system to solve problems.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11432\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-66.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 66\" width=\"312\" height=\"169\" \/><\/p>\n<p>Thinking Habits<br \/>\nBe a good thinker! These questions can help you.<\/p>\n<ul>\n<li>What patterns can I see and describe?<\/li>\n<li>How can I use the patterns to solve the problem?<\/li>\n<li>Can I see expressions and objects in different ways?<\/li>\n<\/ul>\n<p>Look Back! Look For Relationships The three drawings represent 0.5, 0.25, and 0.75 mile with equivalent lengths. How does this affect where 1-mile is located on each drawing?<\/p>\n<p><strong>Essential Question<\/strong><br \/>\nHow Can You Look for and Make Use Question of Structure to Solve Problems?<\/p>\n<p>Visual Learning Bridge<br \/>\nMaps from two different ski resorts show a 1-mile cross-country ski trail for beginners. Show about where to mark 0.25, 0.5, and 0.75 mile on each trail.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11433\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-67.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 67\" width=\"297\" height=\"208\" \/><br \/>\nHow can you determine where to mark the points on each drawing?<br \/>\nI need to analyze each drawing and decide about where the given decimals should be located on each.<\/p>\n<p>How can I make use of structure to solve this problem?<br \/>\nI can<\/p>\n<ul>\n<li>break the problem into simpler parts.<\/li>\n<li>use what I know about decimal meanings to locate the points.<\/li>\n<li>use equivalent forms of numbers.<\/li>\n<\/ul>\n<p>Here&#8217;s my thinking.<br \/>\nThe size of a decimal depends on the size of the whole. The size of the whole is not the same for each drawing. Divide each whole in half to show 0.5 on each whole.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11434\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-68.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 68\" width=\"322\" height=\"273\" \/><\/p>\n<p>Convince Me! Use Structure Use the drawing of the trail shown. Where is the 1.5-mile mark on the trail? How did you decide?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11435\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-69.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 69\" width=\"273\" height=\"74\" \/><\/p>\n<p><strong>Guided Practice<\/strong><\/p>\n<p><strong>Use Structure<\/strong><br \/>\nMargie painted 0.4 of her banner blue. Helena painted 0.5 of her banner blue.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11436\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-70.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 70\" width=\"328\" height=\"406\" \/><br \/>\nQuestion 1.<br \/>\nComplete the drawings to show the whole, or 1, for each banner.<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nExplain how you determined where to draw 1 whole for each banner.<br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nDo the drawings show 0.4 &lt; 0.5? Explain.<br \/>\nAnswer:<\/p>\n<p><strong>Independent Practice<\/strong><\/p>\n<p><strong>Use Structure<\/strong><br \/>\nKaitlin is making a map for the walk\/run race. She wants the water stops to be at 0.5 mile, 0.3 mile, and 0.85 mile from the start.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11437\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-71.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 71\" width=\"277\" height=\"50\" \/><\/p>\n<p>Question 4.<br \/>\nLabel 0.25, 0.5, 0.75 on the number line as a scale reference. Explain how you decided where to mark the number line.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18892\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-img_1.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals img_1\" width=\"277\" height=\"64\" \/><\/p>\n<p>Question 5.<br \/>\nEstimate where 0.3 and 0.85 are located compared to the other points. Mark the points 0.3 and 0.85. Explain how you estimated.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18893\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-img_2.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals img_2\" width=\"277\" height=\"64\" \/><\/p>\n<p><strong>Problem Solving<\/strong><\/p>\n<p><strong>Performance Task<\/strong><\/p>\n<p>Watching Savings Grow<br \/>\nTomas deposits money in his savings account every month. If he continues to save $3.50 each month, how much money will he have at the end of 6 months? 12 months? Use the table and Exercises 6-11 to help solve.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11438\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-72.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 72\" width=\"228\" height=\"257\" \/><br \/>\nQuestion 6.<br \/>\nReasoning What quantities are given in the problem and what do the numbers mean?<br \/>\nAnswer:<\/p>\n<p>Question 7.<br \/>\nMake Sense and Persevere What do you need to find?<br \/>\nAnswer:<\/p>\n<p>To find the total money in the savings account.<\/p>\n<p>Question 8.<br \/>\nUse Structure What is the relationship between the amount of money Tomas will have in his savings account in the fourth month and the amount in the third month?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11439\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-73.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 73\" width=\"250\" height=\"498\" \/><br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nThe amount of money Tomas will have in his savings account in the third month = $20.50<br \/>\nFor each month he saves = $3.50<br \/>\nTotal amount in the forth month = $20.50 + $3.50 = $24<\/p>\n<p>Question 9.<br \/>\nModel with Math Write an expression that can be used to find the amount saved at the end of 6 months.<br \/>\nAnswer:<br \/>\nFor each month he save $3.50<br \/>\nFor 6 months = $3.50 \u00d7 6 = $21.25<br \/>\nFrom the given table at 0 month he have $10 in her savings account.<br \/>\nSo, for 6 months = $21.25 + $10 = $31.25<\/p>\n<p>Question 10.<br \/>\nModel with Math Complete the table to find how much Tomas will have saved in 6 months.<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\nBe Precise Use the answers from the table to find how much money Tomas will have at the end of 12 months. Show your work.<br \/>\nAnswer:<br \/>\nFor each month he save $3.50<br \/>\nFor 6 months = $3.50 \u00d7 12 = $42<br \/>\nFrom the given table at 0 month he have $10 in her savings account.<br \/>\nSo, for 6 months = $42 + $10 = $52<\/p>\n<h3>Topic 12 Fluency Practice Activity<\/h3>\n<p><strong>Follow the path<\/strong><br \/>\nShade a path from Start to finish. Follow the sums or differences that round to 2,000 when rounded to the nearest thousand. You can only move up, down, right, or left.<br \/>\nI can &#8230; add and subtract multi-digit whole numbers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11440\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-74.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 74\" width=\"516\" height=\"515\" \/><\/p>\n<h3>Topic 12 Vocabulary Review<\/h3>\n<p>Understand Vocabulary<br \/>\nWord List<\/p>\n<ul>\n<li>decimal<\/li>\n<li>decimal point<\/li>\n<li>equivalent<\/li>\n<li>fraction<\/li>\n<li>greater than symbol (&gt;)<\/li>\n<li>hundredth<\/li>\n<li>less than symbol (&lt;)<\/li>\n<li>tenth<\/li>\n<\/ul>\n<p>Choose the best term from the box. Write it on the blank.<br \/>\nQuestion 1.<br \/>\nA dot used to separate dollars from cents or ones from tenths in a number is called a _________<br \/>\nAnswer:<br \/>\nA dot used to separate dollars from cents or one&#8217;s from tenths in a number is called a one decimal point.<\/p>\n<p>Question 2.<br \/>\nOne part of 100 equal parts of a whole is called a ___________<br \/>\nAnswer:<br \/>\nOne part of 100 equal parts of a whole is called a one hundredth.<\/p>\n<p>Question 3.<br \/>\nNumbers that name the same amount are __________<br \/>\nAnswer:<br \/>\nNumbers that name the same amount are equivalent.<\/p>\n<p>Question 4.<br \/>\nA symbol, such as \\(\\frac{2}{3}\\), \\(\\frac{5}{1}\\), or \\(\\frac{8}{5}\\), used to name part of a whole, part of a set, or a location on a number line is called a __________<br \/>\nAnswer: fraction<\/p>\n<p>Question 5.<br \/>\nOne out of ten equal parts of a whole is called a _________<br \/>\nAnswer:<br \/>\nOne out of ten equal parts of a whole is called a one hundredth.<\/p>\n<p>For each of these terms, give an example and a non-example.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11441\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-75.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 75\" width=\"667\" height=\"170\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-18885 size-full\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-75-1.png\" alt=\"Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-75\" width=\"667\" height=\"170\" \/><\/p>\n<p><strong>Use Vocabulary in Writing<\/strong><br \/>\nQuestion 9.<br \/>\nKrista wrote \\(\\frac{75}{100}\\) and 0.75. Use at least 3 terms from the Word List to describe Krista&#8217;s work.<br \/>\nAnswer:<\/p>\n<h3>Topic 12 Reteaching<\/h3>\n<p><strong>Set A pages 445-448<\/strong><\/p>\n<p>The essay question on a 100-point test was worth 40 points. Write this part as a fraction and a decimal.<br \/>\nThere are 100 points, so each point is \\(\\frac{1}{100}\\).<br \/>\n\\(\\frac{40}{100}\\) is 0.40.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11442\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-76.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 76\" width=\"341\" height=\"142\" \/><\/p>\n<p><strong>Remember<\/strong> that the name of a fraction can help you write it as a decimal.<\/p>\n<p>Write a decimal and a fraction for each model.<br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11443\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-77.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 77\" width=\"87\" height=\"90\" \/><br \/>\nAnswer: 57\/100<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11444\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-78.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 78\" width=\"97\" height=\"92\" \/><br \/>\nAnswer: 7\/10<\/p>\n<p>Question 3.<br \/>\nDonnie has 4 dollars, 6 pennies, and 9 dimes. Write a decimal for the amount of money Donnie has.<br \/>\nAnswer:<\/p>\n<p><strong>Set B pages 449-452<\/strong><\/p>\n<p>Locate 0.8 and 0.62 on a number line.<br \/>\nThe distance from 0 to 0.8 is eight-tenths the distance from 0 to 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11445\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-79.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 79\" width=\"241\" height=\"135\" \/><br \/>\nDraw a number line showing hundredths. 0.62 is between 0.6 and 0.7.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-11446\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-80.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 80\" width=\"275\" height=\"67\" \/><br \/>\nName the decimal and fraction at each point.<br \/>\nQuestion 1.<br \/>\nK<br \/>\nAnswer:<br \/>\nThe decimal at the point K is 5.47<br \/>\nThe fraction at the point K is 547\/100.<\/p>\n<p>Question 2.<br \/>\nM<br \/>\nAnswer:<br \/>\nThe decimal at the point M is 5.55<br \/>\nThe fraction at the point M is 111\/20<\/p>\n<p>Question 3.<br \/>\nO<br \/>\nAnswer:<br \/>\nThe decimal at the point O is 5.68<br \/>\nThe fraction at the point O is 144\/25<\/p>\n<p>Question 4.<br \/>\nN<br \/>\nAnswer:<br \/>\nThe decimal at the point N is 5.60<br \/>\nThe fraction at the point N is 560\/100.<\/p>\n<p>Question 5.<br \/>\nL<br \/>\nAnswer:<br \/>\nThe decimal at the point L is 5.50<br \/>\nThe fraction at the point L is 11\/2<\/p>\n<p>Question 6.<br \/>\nJ<br \/>\nAnswer:<br \/>\nThe decimal at the point J is 5.42<br \/>\nThe fraction at the point J is 542\/100.<\/p>\n<p><strong>Set C pages 453-456<\/strong><\/p>\n<p>Compare 1.74 and 1.08.<br \/>\nThe digits in the ones place are the same, so look at the digits after the decimal point to compare.<br \/>\n1.74 1.08<br \/>\n7 tenths &gt; 0 tenths<br \/>\n1.74 &gt; 1.08<\/p>\n<p><strong>Remember<\/strong> you can use tools such as place value blocks, number lines, or grids to compare decimal amounts.<\/p>\n<p>Write &gt;, &lt;, or = in each <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/>.<br \/>\nQuestion 1.<br \/>\n$4.13 <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> $4.32<br \/>\nAnswer:<br \/>\nThe digits in the ones place are the same, so look at the digits after the decimal point to compare.<br \/>\n$4.13 and $4.32<br \/>\n1 tenths &lt; 3 tenths<br \/>\n$4. 13 &lt; $4.32<\/p>\n<p>Question 2.<br \/>\n0.6 <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> 0.60<br \/>\nAnswer:<br \/>\nThe digits in the ones place are the same, so look at the digits after the decimal point to compare.<br \/>\n0.6 and 0.60<br \/>\n0. 6 &lt; 0.60<\/p>\n<p>Question 3.<br \/>\n5.29 <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> 52.9<br \/>\nAnswer:<br \/>\nThe digits in the ones place are the same, so look at the digits after the decimal point to compare.<br \/>\n5.29 and 52.9<br \/>\n5.29 &lt; 52.9<\/p>\n<p><span style=\"font-size: inherit; letter-spacing: 0px;\">Question 4.<\/span><\/p>\n<p>12.91 <img loading=\"lazy\" class=\"alignnone size-full wp-image-11368\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-4th-Grade-Answer-Key-Topic-12-Understand-and-Compare-Decimals-2.png\" alt=\"Envision Math Common Core 4th Grade Answer Key Topic 12 Understand and Compare Decimals 2\" width=\"26\" height=\"30\" \/> 12.19<br \/>\nAnswer:<br \/>\nThe digits in the ones place are the same, so look at the digits after the decimal point to compare.<br \/>\n12.91and 12.19<br \/>\n12.91 &gt; 12.19<\/p>\n<p><strong>Set D pages 457-460<\/strong><\/p>\n<p>Find \\(\\frac{9}{10}+\\frac{49}{100}\\)<br \/>\nRewrite \\(\\frac{9}{10}\\) as an equivalent fraction with a denominator of 100.<br \/>\n\\(\\frac{9 \\times 10}{10 \\times 10}=\\frac{90}{100}\\)<br \/>\n\\(\\frac{90}{100}+\\frac{49}{100}=\\frac{139}{100}\\) or 1\\(\\frac{39}{100}\\)<\/p>\n<p><strong>Remember<\/strong> to find equivalent fractions with like denominators to add.<\/p>\n<p>Add. Use grids or place-value blocks as needed to help.<br \/>\nQuestion 1.<br \/>\n\\(\\frac{8}{10}+\\frac{40}{100}\\)<br \/>\nAnswer:<br \/>\nRewrite \\(\\frac{8}{10}\\) as an equivalent fraction with a denominator of 100.<br \/>\n\\(\\frac{8 \\times 10}{10 \\times 10}=\\frac{80}{100}\\)<br \/>\n\\(\\frac{80}{100}+\\frac{40}{100}=\\frac{120}{100}\\) or 1 \\(\\frac{1}{5}\\)<\/p>\n<p>Question 2.<br \/>\n\\(\\frac{24}{100}+\\frac{6}{10}\\)<br \/>\nAnswer:<br \/>\nRewrite \\(\\frac{6}{10}\\) as an equivalent fraction with a denominator of 100.<br \/>\n\\(\\frac{6 \\times 10}{10 \\times 10}=\\frac{60}{100}\\)<br \/>\n\\(\\frac{24}{100}+\\frac{60}{100}=\\frac{84}{100}\\)<\/p>\n<p><strong>Set E pages 461-464<\/strong><\/p>\n<p>Find $5.21 + $1.52.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11447\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-81.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 81\" width=\"315\" height=\"141\" \/><br \/>\nAdd the bills, then count on to add each type of coin.<br \/>\n$6.00 + $0.50 + $0.20 + $0.03 = $6.73<\/p>\n<p><strong>Remember<\/strong> to take away each type of bill and coin when subtracting money.<\/p>\n<p>Question 1.<br \/>\nChelsea had $71.18. She bought a new pair of glasses for $59.95. Can she buy a case that costs $12.95? Explain.<br \/>\nAnswer:<br \/>\nGiven that,<br \/>\nChelsea had = $71.18<br \/>\nShe bought a new pair of glasses = $59.95<br \/>\nRemaining money with Chelsea = $71.18 &#8211; $59. 95 = 12. 77<br \/>\nShe buy a case for = $12.95<br \/>\nShe can&#8217;t buy a case because she has only $12.77 but the cost of a case is $12.95.<\/p>\n<p>Question 2.<br \/>\nEddie bought 3 train tickets for $17.00 each. If he paid with three $20 bills, how much change did Eddie receive?<br \/>\nAnswer:<br \/>\nGiven<br \/>\nEddie bought 1 train tickets = $17.00<br \/>\nFor three tickets = $17.00 \u00d7 3 = $51<br \/>\nHe paid bills = 3 \u00d7 $20 = $60<br \/>\nThus Eddie received money = $60 &#8211; $51 = $9<\/p>\n<p><strong>Set F pages 465-468<\/strong><\/p>\n<p>Think about these questions to help you look for and make use of structure.<br \/>\nThinking Habits<\/p>\n<ul>\n<li>What patterns can I see and describe?<\/li>\n<li>How can I use the patterns to solve the problem?<\/li>\n<li>Can I see expressions and objects in different ways?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11448\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-82.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 82\" width=\"152\" height=\"157\" \/><\/li>\n<\/ul>\n<p><strong>Remember<\/strong> you can use structure to break a problem into simpler parts.<\/p>\n<p>Raven joined a walk-a-thon. The red dot shows how far Raven walked in one hour.<br \/>\nQuestion 1.<br \/>\nComplete the number line below.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11449\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-83.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 83\" width=\"353\" height=\"66\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-medium wp-image-18975\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-83-1-300x56.png\" alt=\"Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-83\" width=\"300\" height=\"56\" \/><\/p>\n<p>Question 2.<br \/>\nEstimate how far Raven walked in the first hour. Explain.<br \/>\nAnswer: Raven walked 2 miles in one hour.<\/p>\n<h3>Topic 12 Assessment Practice<\/h3>\n<p>Question 1.<br \/>\nWhich represent the decimal 0.7? Select all that apply.<br \/>\n\u2610 0.07<br \/>\n\u2610 7.00<br \/>\n\u2610 \\(\\frac{7}{10}\\)<br \/>\n\u2610 \\(\\frac{70}{10}\\)<br \/>\n\u2610 \\(\\frac{70}{100}\\)<br \/>\nAnswer:<br \/>\n\u2610 0.07<br \/>\n\u2610 7.00<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18871\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/block-img_1.png\" alt=\"block img_1\" width=\"16\" height=\"18\" \/> \\(\\frac{7}{10}\\) can be written in the decimal as 0.7<br \/>\n\u2610 \\(\\frac{70}{10}\\)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18871\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/block-img_1.png\" alt=\"block img_1\" width=\"16\" height=\"18\" \/> \\(\\frac{70}{100}\\) can be written in the decimal as 0.7<\/p>\n<p>Question 2.<br \/>\nSelect all the statements that correctly compare two numbers.<br \/>\n\u2610 29.48 &gt; 29.69<br \/>\n\u2610 29.48 &lt; 29.69 \u2610 15.36 &gt; 15.39<br \/>\n\u2610 16.99 &lt; 17.99<br \/>\n\u2610 21.30 = 21.03<br \/>\nAnswer:<br \/>\n\u2610 29.48 &gt; 29.69<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18871\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/block-img_1.png\" alt=\"block img_1\" width=\"16\" height=\"18\" \/> 29.48 &lt; 29.69 \u2610 15.36 &gt; 15.39<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18871\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/block-img_1.png\" alt=\"block img_1\" width=\"16\" height=\"18\" \/> 16.99 &lt; 17.99<br \/>\n\u2610 21.30 = 21.03<\/p>\n<p>Question 3.<br \/>\nLucy buys a puzzle for $3.89, a model airplane for $12.75, and a stuffed animal for $2.50. How much money did she spend in all? Draw or use bills and coins to solve.<br \/>\nA. $19.14<br \/>\nB. $19.00<br \/>\nC. $16.64<br \/>\nD. $16.00<br \/>\nAnswer:<br \/>\nGiven,<br \/>\nLucy buys a puzzle for $3.89, a model airplane for $12.75, and a stuffed animal for $2.50.<br \/>\n$3.89 + $12.75 + $2.50 = $19.14<br \/>\nTherefore she spent $19.14 in all.<br \/>\nThus the correct answer is option A.<\/p>\n<p>Question 4.<br \/>\nWhich point is incorrectly labeled? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11450\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-84.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 84\" width=\"336\" height=\"48\" \/><br \/>\nAnswer: C (4.9) is incorrectly labeled.<\/p>\n<p>Question 5.<br \/>\nCatalina takes the money shown to the bookstore.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11451\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-85.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 85\" width=\"349\" height=\"243\" \/><br \/>\nA. Does Catalina have enough for all three books? If not, how much more money does Catalina need? Explain. Draw or use bills and coins to solve.<br \/>\nAnswer:<\/p>\n<p>B. Catalina chooses to buy only 2 of the books. Choose two books for Catalina to buy, and then find how much money she will have left. Draw or use bills and coins to solve.<br \/>\nAnswer:<\/p>\n<p>Question 6.<br \/>\nWrite a fraction and a decimal that represent the part of the grid that is green.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11452\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-86.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 86\" width=\"103\" height=\"87\" \/><br \/>\nAnswer: 63\/100<br \/>\nThere are 63 shaded blocks out of 100.<br \/>\nSo, the fraction is \\(\\frac{63}{100}\\)<\/p>\n<p>Question 7.<br \/>\nMatch each number on the left to its equivalent fraction.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11453\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-87.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 87\" width=\"262\" height=\"188\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18872\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-87-1.png\" alt=\"Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-87\" width=\"262\" height=\"188\" \/><br \/>\n20 can be written as 20\/100<br \/>\n2 can be written as 200\/100 = 2<br \/>\n0.02 can be written in the fraction form as 2\/100<br \/>\n0.20 can be written in the fraction form as 20\/100 or 2\/10.<\/p>\n<p>Question 8.<br \/>\nSelect all the statements that correctly compare two numbers.<br \/>\n\u2610 7.27 &gt; 74.7<br \/>\n\u2610 1.24 &lt; 1.42 \u2610 58.64 &gt; 48.64<br \/>\n\u2610 138.5 &lt; 13.85 \u2610 12.56 &gt; 12.65<br \/>\nAnswer:<br \/>\n\u2610 7.27 &gt; 74.7<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18871\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/block-img_1.png\" alt=\"block img_1\" width=\"16\" height=\"18\" \/> 1.24 &lt; 1.42 <img loading=\"lazy\" class=\"alignnone size-full wp-image-18871\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/block-img_1.png\" alt=\"block img_1\" width=\"16\" height=\"18\" \/> 58.64 &gt; 48.64<br \/>\n\u2610 138.5 &lt; 13.85 \u2610 12.56 &gt; 12.65<\/p>\n<p>Question 9.<br \/>\nWhat fraction is equivalent to 0.4?<br \/>\nAnswer:<br \/>\nThe fraction is equivalent to 0.4 is \\(\\frac{4}{10}\\)<\/p>\n<p>Question 10.<br \/>\nExplain how to find the sum of<br \/>\n\\(\\frac{3}{10}+\\frac{4}{100}\\)<br \/>\nAnswer:<br \/>\nThe fractions have, unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.<br \/>\nLCM of 10 and 100 is 100.<br \/>\nMultiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.<br \/>\n(\\(\\frac{3}{10}\\) \u00d7 \\(\\frac{10}{10}\\)) + (\\(\\frac{4}{100}\\) \u00d7 \\(\\frac{1}{1}\\))<br \/>\n\\(\\frac{30}{100}\\) + \\(\\frac{4}{100}\\) = \\(\\frac{34}{100}\\)<\/p>\n<p>Question 11.<br \/>\nUse the table below.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11454\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-88.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 88\" width=\"215\" height=\"147\" \/><br \/>\nCreate a number line and plot the value of each letter.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18873\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-2-Answer-Key-Topic-3-Add-Within-100-Using-Strategies-38-1.png\" alt=\"Envision-Math-Common-Core-Grade-2-Answer-Key-Topic-3-Add-Within-100-Using-Strategies-38\" width=\"283\" height=\"158\" \/><\/p>\n<p>Question 12.<br \/>\nWhat decimal represents \\(\\frac{44}{100}\\)?<br \/>\nAnswer: The decimal that represents \\(\\frac{44}{100}\\) is 0.44<\/p>\n<h3>Topic 12 Performance Task<\/h3>\n<p><strong>Nature Club<\/strong><br \/>\nThe nature club at the school devoted a month to learning about different local birds. The Bird Traits photos show information about several birds they observed.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11455\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-89.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 89\" width=\"695\" height=\"235\" \/><br \/>\nQuestion 1.<br \/>\nThe club leader asked students to analyze and compare the measures from the Bird Traits photos.<br \/>\nPart A<br \/>\nRandall was asked to write the mass of a red-tailed hawk as a fraction. Label the mass on the number line and write the equivalent fraction.<br \/>\nAnswer:<\/p>\n<p>Part B<br \/>\nMelanie was assigned to compare the wingspans of the blue jay and the sandpiper. Which bird had a greater wingspan? Show the decimals on the grids, and write the comparison using symbols.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11456\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-90.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 90\" width=\"170\" height=\"94\" \/><br \/>\nAnswer:<\/p>\n<p>Part C<br \/>\nMila compared the wingspans of the red-tailed hawk and the great horned owl. Explain how to use place value to find the greater wingspan. Show the comparison using symbols.<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nGerald found the mass of a great horned owl and a sandpiper combined. Show how to write each mass as a fraction and then write and solve an addition equation.<br \/>\nAnswer:<br \/>\nGiven that mass of the great horned owl = 1.8<br \/>\nMass of the sandpiper = 0.06<br \/>\n1.8 fraction is 18\/10<br \/>\n0.06 fraction is 3\/10<br \/>\nMass of sandpiper and great horned owl is = 18\/10 + 3\/10 = 21\/10.<\/p>\n<p>Question 3.<br \/>\nThe Blue Jay photo shows the wingspan of a blue jay Susannah observed.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-11457\" src=\"https:\/\/envisionmathanswerkey.com\/wp-content\/uploads\/2021\/07\/Envision-Math-Common-Core-Grade-4-Answer-Key-Topic-12-Understand-and-Compare-Decimals-91.png\" alt=\"Envision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals 91\" width=\"193\" height=\"197\" \/><br \/>\nSusannah said the wingspan of the blue jay was greater than the wingspan of the great horned owl since 1.4 &gt; 1.3. Do you agree? Explain.<br \/>\nAnswer:<br \/>\nYes I will agree because the wingspan of the blue jay is 1.4<br \/>\nWingspan of the great horned owl is 1.3<br \/>\nSo the wingspan of the blue jay is greater than the wingspan of the great horned.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Practice with the help of enVision Math Common Core Grade 4 Answer Key Topic 12 Understand and Compare Decimals regularly and improve your accuracy in solving questions. enVision Math Common Core 4th Grade Answers Key Topic 12 Understand and Compare Decimals Essential Questions: How can you write a fraction as a decimal? 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