Question 1.
\nFill in the unknown factors.
\na. 7 \u00d7 3\\(\\frac{3}{4}\\) = (____ \u00d7 3) + (____ \u00d7 \\(\\frac{4}{5}\\))<\/p>\n
Answer:
\n7 x 3\\(\\frac{3}{4}\\) = 26.6.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n7 x 3(3\/4).
\n7 x 3 + 7 x 4\/5.
\n21 + 7 x 0.8.
\n21 + 5.6.
\n26.6.<\/p>\n
b. 3 \u00d7 12\\(\\frac{7}{8}\\) = (3 \u00d7 __12___) + (3 \u00d7 __7\/8___)<\/p>\n
Answer:
\n3 x 12\\(\\frac{7}{8}\\) = 38.625.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n3 x 12(7\/8).
\n3 x 12 + 3 x 7\/8.
\n36 + 3 x 0.875.
\n36 + 2.625.
\n38.625.<\/p>\n
Question 2.
\nMultiply. Use the distributive property.
\na. 7 \u00d7 8\\(\\frac{2}{5}\\)<\/p>\n
Answer:
\n7 x 8\\(\\frac{2}{5}\\) = 58.8.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n7 x 8(2\/5).
\n7 x 8 + 7 x 2\/5.
\n56 + 7 x 0.4.
\n56 + 2.8.
\n58.8.<\/p>\n
b. 4\\(\\frac{5}{6}\\) \u00d7 9<\/p>\n
Answer:
\n4 x 9\\(\\frac{5}{6}\\) = 6.33.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n4 x 9(5\/6).
\n4 x 9 + 4 x 5\/6.
\n36 + 4 x 0.83.
\n36 + 3.33.
\n6.33.<\/p>\n
c. 3 \u00d7 8\\(\\frac{11}{12}\\)<\/p>\n
Answer:
\n3 x 8\\(\\frac{11}{12}\\) = 38.75.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n3 x 8(11\/12).
\n3 x 8 + 3 x 11\/12.
\n24 + 3 x 0.916.
\n36 + 2.75.
\n38.75.<\/p>\n
d. 5 \u00d7 20\\(\\frac{8}{10}\\)<\/p>\n
Answer:
\n5 x 20\\(\\frac{8}{10}\\) = 104.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n5 x 20(8\/10).
\n5 x 20 + 5 x 8\/10.
\n100 + 5 x 0.8.
\n100 + 4.
\n104.<\/p>\n
e. 25\\(\\frac{4}{100}\\) \u00d7 4<\/p>\n
Answer:
\n25 x 4\\(\\frac{4}{100}\\) = 101.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n25 x 4(4\/100).
\n25 x 4 + 25 x 4\/100.
\n100 + 25 x 0.04.
\n100 + 1.
\n101.<\/p>\n
Question 3.
\nThe distance around the park is 2 \\(\\frac{5}{10}\\) miles. Cecilia ran around the park 3 times. How far did she run?<\/p>\n
Answer:
\nThe far she runs = 4 times.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nThe distance around the park is 2(5\/10).
\n2 x 5\/10.
\n5\/10 = 1\/2.
\n2 x 1\/2.
\n2\/2 = 1.
\nCecilia ran around the park 3 times.
\n3 + 1 = 4.<\/p>\n
Question 4.
\nWindsor the dog ate 4 \\(\\frac{3}{4}\\) snack bones each day for a week. How many bones did Windsor eat that week?<\/p>\n
Answer:
\nThe number of bones did Windsor eat that week = 4.75.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nWindsor the dog ate 4(3\/4) snack bones each day for a week.
\n4(3\/4).
\n16 + 3\/4.
\n19\/4 = 4.75.<\/p>\n
Question 1.
\nFill in the unknown factors.
\na. 8 \u00d7 5\\(\\frac{2}{3}\\) = (__8__ \u00d7 5) + (__8__ \u00d7 \\(\\frac{2}{3}\\))<\/p>\n
Answer:
\n8 x 5\\(\\frac{2}{3}\\) = 48.33.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n8 x 5(2\/3).
\n8 x 5 + 5 x 2\/3.
\n40 + 5 x 0.6.
\n45 + 3.33.
\n48.33.<\/p>\n
b. 6\\(\\frac{5}{8}\\) \u00d7 7<\/p>\n
Answer:
\n6 x 7\\(\\frac{5}{8}\\) = 48.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n6 x 7(5\/8).
\n6 x 7 + 6 x 5\/8.
\n42 + 6 x 1.
\n42 + 6.
\n48.<\/p>\n
Question 1.
\nFill in the unknown factors.
\na. 8 \u00d7 4\\(\\frac{4}{7}\\) = (__8__ \u00d7 4) + (__8__ \u00d7 \\(\\frac{4}{7}\\))<\/p>\n
Answer:
\n8 x 4\\(\\frac{4}{7}\\) = 36.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n8 x 4(4\/7).
\n8 x 4 + 8 x 4\/7.
\n32 + 8 x 0.5.
\n32 + 4.
\n36.<\/p>\n
b. 9 \u00d7 7\\(\\frac{7}{10}\\) = (9 \u00d7 __7__) + (9 \u00d7 __7\/10__)<\/p>\n
Answer:
\n9 x 7\\(\\frac{7}{10}\\) = 69.3.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n9 x 7(7\/10).
\n9 x 7 + 9 x 7\/10.
\n63 + 9 x 0.7.
\n63 + 6.3.
\n69.3.<\/p>\n
Question 2.
\nMultiply. Use the distributive property.
\na. 6 \u00d7 8\\(\\frac{2}{7}\\)<\/p>\n
Answer:
\n6 x 8\\(\\frac{2}{7}\\) = 49.2.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n6 x 8(2\/7).
\n6 x 8 + 6 x 2\/7.
\n48 + 6 x 0.2.
\n48 + 1.2.
\n49.2.<\/p>\n
b. 7\\(\\frac{3}{4}\\) \u00d7 9<\/p>\n
Answer:
\n7 x 9\\(\\frac{3}{4}\\) = 68.25.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n7 x 9(3\/4).
\n7 x 9 + 7 x 3\/4.
\n63 + 7 x 0.75.
\n63 + 5.25.
\n68.25.<\/p>\n
c. 9 \u00d7 8\\(\\frac{7}{9}\\)<\/p>\n
Answer:
\n9 x 8\\(\\frac{7}{9}\\) = 78.3.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n9 x 8(7\/9).
\n9 x 8 + 9 x 7\/9.
\n72 + 9 x 0.7.
\n72 + 6.3.
\n78.3.<\/p>\n
d. 25\\(\\frac{7}{8}\\) \u00d7 3<\/p>\n
Answer:
\n25 x 3\\(\\frac{7}{8}\\) = 96.8.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n25 x 3(7\/8).
\n25 x 3 + 25 x 7\/8.
\n75 + 25 x 0.875.
\n75 + 21.875.
\n96.8.<\/p>\n
e. 4 \u00d7 20\\(\\frac{8}{12}\\)<\/p>\n
Answer:
\n4 x 20\\(\\frac{8}{12}\\) = 82.4.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n4 x 20(8\/12).
\n4 x 20 + 4 x 8\/12.
\n80 + 4 x 0.6.
\n80 + 2.4.
\n82.4.<\/p>\n
f. 30\\(\\frac{3}{100}\\) \u00d7 12<\/p>\n
Answer:
\n30 x 12\\(\\frac{3}{100}\\) = 360.9.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\n30 x 12(3\/100).
\n30 x 12 + 30 x 3\/100.
\n360 + 30 x 0.03.
\n360 + 0.9.
\n360.9.<\/p>\n
Question 3.
\nBrandon is cutting 9 boards for a woodworking project. Each board is 4 \\(\\frac{5}{8}\\) feet long. What is the total length of the boards?<\/p>\n
Answer:
\nThe total length of the boards = 41.4 feet.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nBrandon is cutting 9 boards for a woodworking project.
\nEach board is 4(5\/8) feet long.
\n4(5\/8) = 32 + 5\/8.
\n37\/8 = 4.625
\n4.6 x 9 = 41.4<\/p>\n
Question 4.
\nRocky the collie ate 3 \\(\\frac{1}{4}\\) cups of dog food each day for two weeks. How much dog food did Rocky eat in that time?<\/p>\n
Answer:
\nThe dog food did Rocky eat in that time = 42.25 cups.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nRocky the collie ate 3(1\/4) cups of dog food each day for two weeks.
\n3(1\/4) = 12 + 1\/4.
\n13\/4 = 3.25.
\n3.25 x 13 = 42.25.<\/p>\n
Question 5.
\nAt the class party, each student will be given a container filled with 8 \\(\\frac{5}{8}\\) ounces of juice. There are 25 students in the class. How many ounces of juice does the teacher need to buy?<\/p>\n
Answer:
\nThe number of ounces of juice does the teacher needs to buy = 215.625 ounces.<\/p>\n
Explanation:
\nIn the above-given question,
\ngiven that,
\nAt the class party, each student will be given a container filled with 8(5\/8) ounces of juice.
\nThere are 25 students in the class.
\n8(5\/8) = 64 + 5\/8.
\n64 + 5 = 69.
\n69\/8 = 8.625.
\n8.625 x 25 = 215.625.<\/p>\n","protected":false},"excerpt":{"rendered":"
Engage NY Eureka Math 4th Grade Module 5 Lesson 38 Answer Key Eureka Math Grade 4 Module 5 Lesson 38 Problem Set Answer Key Question 1. Fill in the unknown factors. a. 7 \u00d7 3 = (____ \u00d7 3) + (____ \u00d7 ) Answer: 7 x 3 = 26.6. Explanation: In the above-given question, given … 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\/60675"}],"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=60675"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/60675\/revisions"}],"predecessor-version":[{"id":136675,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/60675\/revisions\/136675"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=60675"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=60675"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=60675"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}