{"id":60177,"date":"2022-05-20T15:34:37","date_gmt":"2022-05-20T10:04:37","guid":{"rendered":"https:\/\/ccssanswers.com\/?p=60177"},"modified":"2022-05-10T14:21:11","modified_gmt":"2022-05-10T08:51:11","slug":"eureka-math-grade-4-module-5-end-of-module-assessment","status":"publish","type":"post","link":"https:\/\/ccssanswers.com\/eureka-math-grade-4-module-5-end-of-module-assessment\/","title":{"rendered":"Eureka Math Grade 4 Module 5 End of Module Assessment Answer Key"},"content":{"rendered":"

Engage NY Eureka Math 4th Grade Module 5 End of Module Assessment Answer Key<\/h2>\n

Eureka Math Grade 4 Module 5 End of Module Assessment Task Answer Key<\/h3>\n

Question 1.
\na. Partition the tape diagram to show 5 \u00d7 \\(\\frac{2}{3}\\). Partition the number line to show 10 \u00d7 \\(\\frac{1}{3}\\) .
\n\"Engage<\/p>\n

Answer:
\n5\u00a0 \u00d7 \\(\\frac{2}{3}\\) = 3.3.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\npartition the tape diagram.
\n5 x 2\/3.
\n5 x 3 = 15.
\n15 + 2\/3 = 17\/3.
\n17\/3 = 5.6
\n10 x 1\/3 = 10\/3.
\n10\/3 = 3.3.
\n\"Eureka-Math-Grade-4-Module-5-Lesson-End
\nb. Use the models above to explain why 5 \u00d7 \\(\\frac{2}{3}\\) = 10 \u00d7 \\(\\frac{1}{3}\\).<\/p>\n

Answer:
\n5 x 2\/3 = 10 x 1\/3.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n5 x 2\/3 = 10\/3.
\n5 x 2 = 10.
\n10 x 1\/3 = 10\/3.
\n10 x 1 = 10.
\n10\/3 = 10\/3.
\n5 x 2\/3 = 10 x 1\/3.<\/p>\n

Question 2.
\nFill in the circles below with <, =, or > to make true number sentences. Use decomposition or multiplication to justify your answer.
\na. 7 \"Engage \\(\\frac{43}{6}\\)<\/p>\n

Answer:
\n7 < 43\/6.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nuse decomposition or multiplication.
\n43\/6 = 7.1.
\n7 < 7.1.
\n7 < 43\/6.
\n\"Eureka-Math-Grade-4-Module-5-Lesson-End
\nb. 11\\(\\frac{1}{3}\\) \"Engage \\(\\frac{34}{3}\\)<\/p>\n

Answer:
\n11(1\/3) = 34\/3.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n11(1\/3) = 11 x 3.
\n11 x 3 = 33.
\n33 + 1\/3 = 34\/3.
\n34\/3 = 11.3.
\n34\/3 = 34\/3.
\n\"Eureka-Math-Grade-4-Module-5-Lesson-End
\nc. \\(\\frac{13}{6}\\) \"Engage \\(\\frac{38}{12}\\)<\/p>\n

Answer:
\n(13\/6) < 38\/12.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n13\/6 = 2.1.
\n38\/12 = 3.1.
\n2.1 < 3.1.
\n13\/6 < 38\/12.
\n\"Eureka-Math-Grade-4-Module-5-Lesson-End<\/p>\n

Question 3.
\nGenerate a pattern of at least 13 fractions by adding \\(\\frac{4}{3}\\) to \\(\\frac{1}{3}\\) and then continuing to add \\(\\frac{4}{3}\\) to each fraction. Circle each fraction equal to a whole number. Write what you notice about the pattern of whole numbers. The first two fractions are written for you.
\n\\(\\frac{1}{3}\\), \\(\\frac{5}{3}\\),<\/p>\n

Answer:
\n1\/3, 5\/3, 9\/3, 13\/3, 17\/3, 21\/3, 25\/3, 29\/3, 33\/3, 37\/3, 41\/3, 45\/3, 49\/3.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nGenerate a pattern of at least 13 fractions by adding 4\/3 to1\/3.
\n1\/3 + 4\/3 = 5\/3 = 1.6.
\n5\/3 + 4\/3 = 9\/3 = 3.
\n9\/3 + 4\/3 = 13\/3 = 4.3.
\n13\/3 + 4\/3 = 17\/3 = 5.6.
\n17\/3 + 4\/3 = 21\/3 = 7.
\n21\/3 + 4\/3 = 25\/3 = 8.3.
\n25\/3 + 4\/3 = 29\/3 = 9.6.
\n29\/3 + 4\/3 = 33\/3 = 11.
\n33\/3 + 4\/3 = 37\/3 = 12.3.
\n37\/3 + 4\/3 = 41\/3 = 13.6.
\n41\/3 + 4\/3 = 45\/3 = 15.
\n45\/3 + 4\/3 = 49\/3 = 16.3.<\/p>\n

Question 4.
\nFind each sum or difference.
\na. 6\\(\\frac{4}{10}\\) + 7\\(\\frac{7}{10}\\)<\/p>\n

Answer:
\n6(4\/10)+7(7\/10) = 14.1.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nFind the sum.
\n6(4\/10).
\n6 x 10 = 60.
\n60 + 4\/10.
\n64\/10 = 6.4.
\n7(7\/10).
\n7 x 10 = 70.
\n70 + 7\/10.
\n77\/10 = 7.7.
\n6.4+7.7 = 14.1.<\/p>\n

b. 3\\(\\frac{3}{8}\\) + 6\\(\\frac{5}{8}\\) + 1\\(\\frac{7}{8}\\)<\/p>\n

Answer:
\n3(3\/8)+6(5\/8)+1(7\/8)= 11.7.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nFind the sum.
\n3(3\/8).
\n3 x 8 = 24.
\n24 + 3\/8.
\n27\/8 = 3.3.
\n6(5\/8).
\n6 x 8 = 48.
\n48 + 5\/8.
\n53\/8 = 6.6.
\n1(7\/8).
\n1 x 8 = 8.
\n8 + 7\/8.
\n15\/8 = 1.8.
\n6.6+3.3+1.8 = 11.7.<\/p>\n

c. 1\\(\\frac{9}{12}\\) – 1\\(\\frac{4}{12}\\)<\/p>\n

Answer:
\n1(9\/12)-1(4\/12) = 14.1.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nFind the sum.
\n1(9\/12).
\n1 x 12 = 12.
\n12 + 9\/12.
\n21\/12 = 6.4.
\n1(4\/12).
\n1 x 12 = 12.
\n12 + 4\/12.
\n16\/12 = 7.7.
\n6.4+7.7 = 14.1.<\/p>\n

d. 5\\(\\frac{2}{5}\\) – 1\\(\\frac{3}{5}\\)<\/p>\n

Answer:
\n5(2\/5)-1(3\/5) = 3.8.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nFind the sum.
\n5(2\/5).
\n5 x 5 = 25.
\n25 + 2\/5.
\n27\/5 = 5.4.
\n1(3\/5).
\n1 x 5 = 5.
\n5 + 3\/5.
\n8\/5 = 1.6.
\n5.4 – 1.6 = 3.8.
\nQuestion 5.
\na. Rewrite 3 \u00d7 \\(\\frac{6}{8}\\) as the product of a unit fraction and a whole number. Solve.<\/p>\n

Answer:
\n3 x 6\/8 = 3.75.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n3 x 6\/8.
\n8 x 3 = 24.
\n24 + 6\/8.
\n30\/8 = 3.75.<\/p>\n

b. Rewrite 4 \u00d7 6\\(\\frac{2}{3}\\) as the product of a unit fraction and a whole number. Solve.<\/p>\n

Answer:
\n4 x 6 x 2\/3 = 24.6.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n4 x 6 x 2\/3.
\n6 x 4 = 24.
\n24 x 3 = 72.
\n72 + 2\/3.
\n74\/3 = 24.6.<\/p>\n

Question 6.
\nDetermine if the following are true or false. Explain how you know using models or words. Make false problems true by rewriting the right side of the number sentence.
\na. 7\\(\\frac{1}{3}\\) = 7 + \\(\\frac{1}{3}\\)<\/p>\n

Answer:
\nNo, the sentence is false.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n7 x 1\/3 = 7\/3.
\n7 + 1\/3 = 8\/3.
\n7\/3 = 2.3.
\n8\/3 = 2.6.<\/p>\n

b. \\(\\frac{5}{3}\\) – \\(\\frac{3}{3}\\) + \\(\\frac{2}{3}\\)<\/p>\n

Answer:
\n5\/3 – 3\/3 + 2\/3 = 4\/3.
\nExplanation:
\nIn the above-given question,
\ngiven that,
\n5\/3 – 3\/3 + 2\/3.
\n5\/3 – 3\/3 = 2\/3.
\n5 – 3 = 2.
\n2\/3 + 2\/3 = 4\/3.<\/p>\n

c. \\(\\frac{13}{6}\\) – \\(\\frac{5}{6}\\) = \\(\\frac{13-5}{6}\\)<\/p>\n

Answer:
\n13\/6 – 5\/6 = 8\/6.
\nExplanation:
\nIn the above-given question,
\ngiven that,
\n13\/6 – 5\/6.
\n13 – 5 = 8.
\n13\/6 – 5\/6 = 8\/6.<\/p>\n

d. \\(\\frac{11}{3}\\) = 11 + \\(\\frac{1}{3}\\)<\/p>\n

Answer:
\n11\/3 = 11 + 1\/3.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n11\/3 = 3.6.
\n11 + 1\/3.
\n11 x 3 = 33.
\n33 + 1\/3 = 34\/3.
\n34\/3 = 11.3.
\ne. \\(\\frac{7}{8}\\) + \\(\\frac{7}{8}\\) + \\(\\frac{7}{8}\\) + \\(\\frac{7}{8}\\) = 4 \u00d7 \\(\\frac{7}{8}\\)<\/p>\n

Answer:
\nTrue.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n7\/8 + 7\/8 + 7\/8 + 7\/8.
\n7\/8 = 0.875.
\n0.8 + 0.8 + 0.8 + 0.8.
\n4 x 7\/8 = 3.2.<\/p>\n

f. 5 \u00d7 3\\(\\frac{3}{4}\\) = 15 + \\(\\frac{3}{4}\\)<\/p>\n

Answer:
\nTrue.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\n5 x 3(3\/4).
\n5 x 3 = 15.
\n15(3\/4) = 15 x 4.
\n60 + 3\/4.
\n63\/4.
\n5 x 3(3\/4) = 15 + 3\/4.<\/p>\n

Question 7.
\nThe chart to the right shows data Amashi collected about butterfly wingspans.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n
\n

Butterfly<\/strong><\/p>\n<\/td>\n

\n

Wingspan<\/strong><\/p>\n

(inches)<\/strong><\/p>\n<\/td>\n<\/tr>\n

Monarch<\/td>\n3\\(\\frac{7}{8}\\)<\/td>\n<\/tr>\n
Milbert\u2019s Tortoiseshell<\/td>\n5\\(\\frac{5}{8}\\)<\/td>\n<\/tr>\n
Zebra Swallowtail<\/td>\n2\\(\\frac{1}{2}\\)<\/td>\n<\/tr>\n
Viceroy<\/td>\n2\\(\\frac{6}{8}\\)<\/td>\n<\/tr>\n
Postman<\/td>\n3\\(\\frac{3}{8}\\)<\/td>\n<\/tr>\n
Purple Spotted Swallowtail<\/td>\n2\\(\\frac{2}{8}\\)<\/td>\n<\/tr>\n
Julia<\/td>\n3\\(\\frac{2}{4}\\)<\/td>\n<\/tr>\n
Southern Dogface<\/td>\n2\\(\\frac{3}{8}\\)<\/td>\n<\/tr>\n
Tiger Swallowtail<\/td>\n3\\(\\frac{1}{2}\\)<\/td>\n<\/tr>\n
Regal Fritillary<\/td>\n3\\(\\frac{4}{8}\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Answer:
\nMonarch:3(7\/8) = 3.8.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nthe wingspan of the butterflies.
\n3(7\/8) = 3 x 8.
\n24 + 7\/8.
\n31\/8 = 3.8.<\/p>\n

Answer:
\nMilbert’s:5(5\/8) = 3.8.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nthe wingspan of the butterflies.
\n5(5\/8) = 5 x 8.
\n40 + 5\/8.
\n45\/8 = 5.6.<\/p>\n

Answer:
\nZebra swallow tail:2(1\/2) = 3.8.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nthe wingspan of the butterflies.
\n2(1\/2) = 2 x 2.
\n4 + 1\/2.
\n5\/2 = 2.5.<\/p>\n

Answer:
\nViceroy:2(6\/8) = 2.75.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nthe wingspan of the butterflies.
\n2(6\/8) = 2 x 8.
\n16 + 6\/8.
\n22\/8 = 2.75.<\/p>\n

Answer:
\nPostman:3(3\/8) = 3.3.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nthe wingspan of the butterflies.
\n3(3\/8) = 3 x 8.
\n24 + 3\/8.
\n27\/8 = 3.3.<\/p>\n

Answer:
\nPurple:2(2\/8) = 2.2.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nthe wingspan of the butterflies.
\n2(2\/8) = 2 x 8.
\n16 + 2\/8.
\n18\/8 = 2.25.<\/p>\n

Answer:
\nJulia:3(2\/4) = 3.5.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nthe wingspan of the butterflies.
\n3(2\/4) = 3 x 4.
\n12 + 2\/4.
\n14\/4 = 3.5.<\/p>\n

Answer:
\nSouthern Dog:2(3\/8) = 2.3.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nthe wingspan of the butterflies.
\n2(3\/8) = 2 x 8.
\n16 + 3\/8.
\n19\/8 = 2.3.<\/p>\n

Answer:
\nTiger:3(1\/2) = 3.8.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nthe wingspan of the butterflies.
\n3(1\/2) = 3 x 2.
\n6 + 1\/2.
\n7\/2 = 3.5.<\/p>\n

Answer:
\nRegal:3(4\/8) = 3.8.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nthe wingspan of the butterflies.
\n3(4\/8) = 3 x 8.
\n24 + 4\/8.
\n28\/8 = 3.5.<\/p>\n

a. At the bottom of this page, create a line plot to display the data in the table.
\nb. What is the difference in wingspan between the widest and narrowest butterflies on the chart?
\nc. Three butterflies have the same wingspan. Explain how you know the measurements are equal.<\/p>\n

Answer:
\nThe three butterflies have the same wingspan = 3.5 in.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nthe butterflies have the same wingspan.
\nTiger swallowtail = 3.5.
\nRegal Fritillary = 3.5
\nJulia = 3.5.<\/p>\n

Solve each problem. Draw a model, write an equation, and write a statement for each.
\nd. Amashi wants to display a Postman and Viceroy side by side in a photo box with a width of 6 inches. Will these two butterflies fit? Explain how you know.<\/p>\n

Answer:
\nYes, the two butterflies will fit.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nAmashi wants to display a postman and viceroy side by side in a photo box with a width of 6 inches.
\nViceroy = 2.75 in.
\nPostman = 3.3 in.
\n2.75 + 3.3 = 6.0.
\nso, the two butterflies will fit.<\/p>\n

e. Compare the wingspan of the Milbert\u2019s Tortoiseshell and the Zebra Swallowtail using >, <, or =.<\/p>\n

Answer:
\nMilbert’s Tortoiseshell > Zebra Swallowtail.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nthe wingspan of two butterflies.
\nMilbert’s Tortoiseshell = 5.6 in.
\nZebra Swallowtail = 2.5 in.
\n5.6 > 2.5.
\nso Milbert’s > Zebra.<\/p>\n

f. The Queen Alexandra Birdwing can have a wingspan that is 5 times as wide as the Southern Dogface\u2019s. How many inches can the Birdwing\u2019s wingspan be?<\/p>\n

Answer:
\nAlexandra Birdwing = 11.5 in.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nThe Queen Alexandra Birdwing can have a wingspan that is 5 times as wide as the Southern Dogface’s.
\nSouthern Dogface’s = 2.3 in.
\n2.3 x 5 = 11.5.
\nAlexandra Birdwing = 11.5 in.<\/p>\n

g. Amashi discovered a pattern. She started with 2\\(\\frac{2}{8}\\) inches and added \\(\\frac{1}{8}\\) inch to each measurement. List the next four measurements in her pattern. Name the five butterflies whose wingspans match the measurements in her pattern.<\/p>\n

Answer:
\nZebra Swallow tail, Viceroy, Southern Dogface, Tiger Swallowtail.<\/p>\n

Explanation:
\nIn the above-given question,
\ngiven that,
\nAmashi discovered a pattern.
\nshe started with 2(2\/8)in.
\n2 x 2\/8 = 8 x 2.
\n8 x 2 = 16.
\n16 + 2\/8.
\n18\/8 = 2.25.
\n18\/8 + 1\/8 = 19\/8.
\n19\/8 + 1\/8 = 20\/8.
\n20\/8 + 1\/8 = 21\/8.
\n21\/8 + 1\/8 = 22\/8.
\n22\/8 + 1\/8 = 23\/8.
\n19\/8 = 2.3.
\n20\/8 = 2.5.
\n21\/8 = 2.6.
\n22\/8 = 2.7.
\n23\/8 = 2.8.<\/p>\n","protected":false},"excerpt":{"rendered":"

Engage NY Eureka Math 4th Grade Module 5 End of Module Assessment Answer Key Eureka Math Grade 4 Module 5 End of Module Assessment Task Answer Key Question 1. a. Partition the tape diagram to show 5 \u00d7 . Partition the number line to show 10 \u00d7 . Answer: 5\u00a0 \u00d7 = 3.3. Explanation: In … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/60177"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=60177"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/60177\/revisions"}],"predecessor-version":[{"id":136662,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/60177\/revisions\/136662"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=60177"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=60177"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=60177"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}