\nDecompose each fraction into hundredths using area models. Then, write the equivalent number sentence using decimals.
\na. \\(\\frac{8}{10}\\) = 0.8
\n
![\"Engage](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/Engage-NY-Math-4th-Grade-Module-6-End-of-Module-Assessment-Answer-Key-1.png\")
<\/p>\nQuestion 1.
\nDecompose each fraction into hundredths using area models. Then, write the equivalent number sentence using decimals.
\na. \\(\\frac{8}{10}\\) = 0.8
\n<\/p>\n
Answer:
\n8\/10 = 0.8.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{8}{10}\\).
\n8\/10 = 0.8.
\n![\"Eureka-Math-Grade-4-Module-6-Lesson-18-Answer](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-6-Lesson-18-Answer-Key-1.png\")
<\/p>\n
b. \\(\\frac{18}{10}\\) = 1.8
\n![\"Engage](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/Engage-NY-Math-4th-Grade-Module-6-End-of-Module-Assessment-Answer-Key-2.png\")
<\/p>\n
Answer:
\n18\/10 = 1.8.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{18}{10}\\).
\n18\/10 = 1.8.
\n![\"Eureka-Math-Grade-4-Module-6-Lesson-18-Answer](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-6-Lesson-18-Answer-Key-2.png\")
<\/p>\n
Decompose each fraction into hundredths. Then, write the equivalent number sentence for each part using decimals.
\nc. \\(\\frac{2}{10}\\) = 0.2
\nd. \\(\\frac{5}{10}\\) = 0.5<\/p>\n
Answer:
\n2\/10 = 0.2.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{2}{10}\\).
\n2\/10 = 0.2.<\/p>\n
Answer:
\n5\/10 = 0.5.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{5}{10}\\).
\n5\/10 = 0.5.<\/p>\n
Question 2.
\nSeveral points are plotted on the number lines below. Identify the decimal number associated with each point.
\n![\"Engage](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/Engage-NY-Math-4th-Grade-Module-6-End-of-Module-Assessment-Answer-Key-3.png\")
<\/p>\n
Answer:
\n0.4<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{5}{10}\\).
\n5\/10 = 0.5.<\/p>\n
Answer:
\n1.1<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{11}{10}\\).
\n11\/10 = 1.1.<\/p>\n
Answer:
\n1.8<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{18}{10}\\).
\n18\/10 = 1.8.<\/p>\n
Answer:
\n3.67<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{365}{100}\\).
\n365\/100 = 3.67.<\/p>\n
Answer:
\n3.78<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{378}{100}\\).
\n378\/100 = 3.75.<\/p>\n
Answer:
\n3.82<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n\\(\\frac{382}{100}\\).
\n382\/100 = 3.82.
\n![\"Eureka-Math-Grade-4-Module-6-Lesson-18-Answer](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-6-Lesson-18-Answer-Key-3.png\")
<\/p>\n
Question 3.
\nUse the symbols >, =, or < to compare the following. Justify your conclusions using pictures, numbers, or words.
\na. a. 0.02 <\u00a00.22
\nb. 0.6 =\u00a00.60
\nc. 17 tenths =\u00a01.7
\nd. 1.04 >\u00a01\\(\\frac{4}{10}\\)
\ne. 0.38 >\u00a0\\(\\frac{38}{10}\\)
\nf. 4.05 =\u00a04\\(\\frac{5}{100}\\)
\ng. 3 tenths + 2 hundredths >\u00a01 tenth + 13 hundredths
\nh. 8 hundredths + 7 tenths >\u00a06 tenths + 17 hundredths<\/p>\n
Answer:
\n0.02 < 0.22.
\n0.6 = 0.60.
\n17 tenths = 1.7
\n1.04 > 1.4
\n0.38 > 3.8
\n4.05 = 4.05
\n3 tenths + 2 hundredths > 1 tenth + 13 hundredths.
\n8 hundredths + 7 tenths > 6 tenths + 17 hundredths.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n0.02 < 0.22.
\n0.6 = 0.60.
\n17 tenths = 1.7
\n17\/10 = 1.7
\n1.04 > 1.4
\n0.38 > 3.8
\n4.05 = 4.05
\n3 tenths + 2 hundredths > 1 tenth + 13 hundredths.
\n3\/10 + 2\/100 = 0.3 + 0.02 = 0.32.
\n1\/10 + 13\/100 = 0.1 + 0.13 = 0.23.
\n8 hundredths + 7 tenths > 6 tenths + 17 hundredths.
\n8\/100 + 7\/10 = 0.7 + 0.08 = 0.78.
\n6\/10 + 17\/100 = 0.6 + 0.17 = 0.77.<\/p>\n
Question 4.
\nSolve.
\na. Express your solution as a fraction of a meter. 0.3 m + 1.45 m
\nb. Express your solution as a fraction of a liter. 1.7 L + 0.82 L
\nc. Express your solution as a fraction of a dollar. 4 dimes 1 penny + 77 pennies<\/p>\n
Answer:
\n3\/10 + 145\/100.
\n17\/10 + 82\/100.
\n41\/10 + 77\/100.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n0.3 m + 1.45 m.
\n3\/10 + 145\/100.
\n17\/10 = 1.7.
\n82\/100 = 0.82.
\n41\/10 = 4.1.
\n77\/100 = 0.77.<\/p>\n
Question 5.
\nSolve.
\na. \\(\\frac{7}{10}+\\frac{8}{100}\\)
\nb. \\(\\frac{4}{10}+\\frac{51}{100}\\)
\nc. \\(\\frac{5}{10}+\\frac{68}{100}\\)
\nd. \\(\\frac{98}{100}+\\frac{2}{10}\\)
\ne. \\(\\frac{12}{100}+\\frac{12}{10}\\)
\nf. \\(\\frac{1}{10}+\\frac{13}{100}+\\frac{8}{10}\\)<\/p>\n
Answer:
\n7\/10 + 8\/100 = 0.78.
\n4\/10 + 51\/100 = 0.91.
\n5\/10 + 68\/100 = 1.18.
\n2\/10 + 98\/100 = 1.18.
\n12\/10 + 12\/100 = 1.32.
\n1\/10 + 8\/10 + 13\/100 = 1.13.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n7\/10 + 8\/100 = 0.78.
\n4\/10 + 51\/100 = 0.91.
\n5\/10 + 68\/100 = 1.18.
\n2\/10 + 98\/100 = 1.18.
\n12\/10 + 12\/100 = 1.32.
\n1\/10 + 8\/10 + 13\/100 = 1.13.<\/p>\n
Question 6.
\nAnswer the following questions about a track meet.
\na. Jim and Joe ran in a relay race. Jim had a time of 9.8 seconds. Joe had a time of 10.32 seconds. Together, how long did it take them to complete the race? Record your answer as a decimal.<\/p>\n
Answer:
\nThe long did it take them to complete the race = 21.12 seconds.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nJim and role ran in a relay race.
\nJim had a time of 9.8 seconds.
\nJoe had a time of 10.32 seconds.
\n9.8 + 10.32 = 21.12 seconds.<\/p>\n
b. The times of the 5 fastest runners were 7.11 seconds, 7.06 seconds, 7.6 seconds, 7.90 seconds, and 7.75 seconds. Locate these times on the number line. Record the times as decimals and fractions. One has been completed for you.
\n![\"Engage](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/Engage-NY-Math-4th-Grade-Module-6-End-of-Module-Assessment-Answer-Key-5.png\")
<\/p>\n
Answer:
\n7.11, 7.06, 7.6, 7.90, 7.75.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n7.11 = 7 x 11\/100.
\n7.06 = 7 x 6\/100.
\n7.6 = 7 x 6\/10.
\n7.90 = 7 x 9\/100.
\n7.75 = 7 x 75\/100.
\n![\"Eureka-Math-Grade-4-Module-6-Lesson-18-Answer](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/Eureka-Math-Grade-4-Module-6-Lesson-18-Answer-Key-4.png\")
<\/p>\n
c. Natalie threw a discus 32.04 meters. She threw 3.8 meters farther on her next throw. Write a statement to compare the two distances that Natalie threw the discus using >, <, or =.<\/p>\n
Answer:
\n32.04 > 3.8.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nNatalie threw a discus 32.04 meters.
\nshe threw 3.8 meters farther on her next throw.
\n32.04 is greater than 3.8.<\/p>\n
d. At the concession stand, Marta spent 89 cents on a bottle of water and 5 dimes on a bag of chips. Shade the area models to represent the cost of each item.
\n![\"Engage](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/Engage-NY-Math-4th-Grade-Module-6-End-of-Module-Assessment-Answer-Key-6.png\")
<\/p>\n
Answer:
\n89 cents.
\n5 dimes.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n89 cents.
\n5 dimes.<\/p>\n
e. Write a number sentence in fraction form to find the total cost of a water bottle and a bag of chips. After solving, write the complete number sentence in decimal form.<\/p>\n
Answer:
\n89 cents = 0.89.
\n5 dimes = 0.05.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n89 cents.
\n5 dimes.<\/p>\n
f. Brian and Sonya each have a container. They mark their containers to show tenths. Brian and Sonya both fill their containers with 0.7 units of juice. However, Brian has more juice in his container. Explain how this is possible.<\/p>\n
Answer:
\nThe brain has more juice in its container.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nBrain and Sonya each have a container.
\nThey mark their containers to show tenths.
\nBrain and Sonya both fill their containers with 0.7 units of juice.<\/p>\n","protected":false},"excerpt":{"rendered":"
Engage NY Eureka Math 4th Grade Module 6 End of Module Assessment Answer Key Eureka Math Grade 4 Module 6 End of Module Assessment Task Answer Key Question 1. Decompose each fraction into hundredths using area models. Then, write the equivalent number sentence using decimals. a. = 0.8 Answer: 8\/10 = 0.8. Explanation: In the … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/60121"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=60121"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/60121\/revisions"}],"predecessor-version":[{"id":91699,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/60121\/revisions\/91699"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=60121"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=60121"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=60121"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}