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<\/h2>\nExercise 1.
\nCalculate the product. 324.56 \u00d7 54.82
\nAnswer:
\n324.56 \u00d7 54.82 = 17, 792. 3792<\/p>\n
Exercise 2.
\nKevin spends $11.25 on lunch every week during the school year. If there are 35.5 weeks during the school year, how much does Kevin spend on lunch over the entire school year? Remember to round to the nearest penny.
\nAnswer:
\n11.25 \u00d7 35.5 = 399. 375 \u2248 399.38
\nKevin would spend $399.38 on lunch over the entire school year.<\/p>\n
Exercise 3.
\nGunnar\u2019s car gets 22.4 miles per gallon, and his gas tank can hold 17.82 gallons of gas. How many miles can Gunnar travel If he uses all of the gas in the gas tank?
\nAnswer:
\n22.4 \u00d7 17.82 = 399. 168
\nGunnar can drive 399. 168 miles on an entire tank of gas.<\/p>\n
Exercise 4.
\nThe principal of East High School wants to buy a new cover for the sand pit used in the long-jump competition. He measured the sand pit and found that the length is 29.2 feet and the width is 9. 8 feet. What will the area of the new cover be?
\nAnswer:
\n29.2 \u00d7 9.8 = 286.16
\nThe cover should have an area of 286. 16 square feet.<\/p>\n
Solve each problem. Remember to round to the nearest penny when necessary.<\/p>\n
Question 1.
\nCalculate the product. 45.67 \u00d7 32.58
\nAnswer:
\n45.67 \u00d7 32.58 = 1,487.9286<\/p>\n
Question 2.
\nDeprina buys a large cup of coffee for $4. 70 on her way to work every day. If there are 24 workdays in the month, how much does Deprina spend on coffee throughout the entire month?
\nAnswer:
\n4.70 \u00d7 24 = 112.80
\nDeprina would spend $112.80 a month on coffee.<\/p>\n
Question 3.
\nKrego earns $2, 456.75 every month. He also earns an extra $4. 75 every time he sells a new gym membership. Last month, Krego sold 32 new gym memberships. How much money did Krego earn last month?
\nAnswer:
\n2,456.75 + (4.75 \u00d7 32) = 2,608.75
\nKrego earned $2, 608.75 last month.<\/p>\n
Question 4.
\nKendra just bought a new house and needs to buy new sod for her backyard. If the dimensions of her yard are 24.6 feet by 14. 8 feet, what is the area of her yard?
\nAnswer:
\n24.6 \u00d7 14.8 = 364.08
\nThe area of Kendra’s yard is 364.08 square feet.<\/p>\n
Use estimation or fraction multiplication to determine if your answer is reasonable.<\/p>\n
Question 1.
\nCalculate the product. 78.93 \u00d7 32.45
\nAnswer:
\n78.93 \u00d7 32.45 = 2,561.2785<\/p>\n
Question 2.
\nPaint costs $29.95 per gallon. Nikki needs 12. 25 gallons to complete a painting project. How much will Nikki spend on paint? Remember to round to the nearest penny.
\nAnswer:
\n29.95 \u00d7 12.25 = 366.89
\nNikki would spend $366.89 on paint to complete her project.<\/p>\n
You not only need to solve each problem, but your groups also need to prove to the class that the decimal in the product is located in the correct place. As a group, you are expected to present your Informal proof to the class.<\/p>\n
a. Calculate the product. 34.62 \u00d7 12.8
\nAnswer:
\n34.62 \u00d7 12.8 = 443. 136<\/p>\n
Some possible proofs:
\nUsing estimation: 35 \u00d7 13 = 455 If the decimal was located in a different place, the product would not be close to 455.<\/p>\n
Using fractions: \\(34 \\frac{62}{100} \\times 12 \\frac{8}{10}=\\frac{3,462}{100} \\times \\frac{128}{10}=\\frac{443,136}{1,000}\\) Because the denominator is 1,000, the last digit should be in the thousandths place when writing the fraction as a decimal. Therefore, the answer would be 443. 136.<\/p>\n
b. Xavier earns $11. 50 per hour working at the nearby grocery store. Last week, Xavier worked 13. 5 hours. How much money did Xavier earn last week? Remember to round to the nearest penny.
\nAnswer:
\n11.5 \u00d7 13.5 = 155.25<\/p>\n
Some possible proofs:
\nUsing estimation: 12 \u00d7 14 = 168 If the decimal was located In a different place, the product would not be close to 168.<\/p>\n
Using fractions: \\(11 \\frac{5}{10} \\times 13 \\frac{5}{10}=\\frac{115}{10} \\times \\frac{135}{10}=\\frac{15,525}{100}\\) Because the denominator is 100, the last digit should be In the hundredths place when writing the fraction as a decimal. Therefore, the answer would be $155. 25.<\/p>\n
Discussion<\/p>\n
Record notes from the Discussion in the box below.<\/p>\n
<\/h2>\nAnswer:
\n\u2192 Do you see a connection between the number of decimal digits in the factors and the product?<\/p>\n
\u2192 In the first problem, there are two decimal digits in the first factor and one decimal digit in the second factor, which is a total of three decimal digits. The product has three decimal digits.<\/p>\n
\u2192 In the second problem, both factors have one decimal digit for a total of two decimal digits in the factors. The product also has two decimal digits.<\/p>\n
Show students that this is another way to determine if their decimal points are in the correct place. If this point was brought up by students in their presentations, the discussion can reiterate this method to find the correct placement of the decimal. Remind students to place the decimal before eliminating any unnecessary zeros from the answer.<\/p>\n
At the end of the discussion, have students record notes on decimal placement in the student materials.<\/p>\n","protected":false},"excerpt":{"rendered":"
Engage NY Eureka Math 6th Grade Module 2 Lesson 11 Answer Key Eureka Math Grade 6 Module 2 Lesson 11 Exercise Answer Key Exercise 1. Calculate the product. 324.56 \u00d7 54.82 Answer: 324.56 \u00d7 54.82 = 17, 792. 3792 Exercise 2. Kevin spends $11.25 on lunch every week during the school year. If there are … 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\/80392"}],"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=80392"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/80392\/revisions"}],"predecessor-version":[{"id":137646,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/80392\/revisions\/137646"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=80392"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=80392"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=80392"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}