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Elena, Joe, Owen, Samantha, and Tuck have weighed their backpacks. Elena's backpack weighs the most. Owens backpack weighs 0.45 lb less than Joe's backpack. Samantha's lunch weighs 1.5 lb. With that lunch out of the backpack, the backpack weighs 16.55 lb. Tuck's backpack weighs more than Owen's. How much does each person's backpack weigh?

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Answer Elena: 19.8 lb Joe: 19.35 lb Owen: 18.9 lb Samantha: 18.05 lb Tuck: 19.5 lb

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Lesson 5-8 LCM and Comparing and Ordering Rational Numbers

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LCM A multiple is a product of natural numbers. Ex: 3 x 4 = 12, 12 is a multiple of 3 and 4. The least common multiple is the common multiple that is less than any other common multiple of two or more numbers. Three ways to find LCM: Listing multiples, prime factorization, cake method.

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Listing Multiples List multiples of each number from least to greatest. Ex. 12 and 8 12:12244836 8:81624324048

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List multiples of each number from least to greatest. Ex. 12 and 8 12:12244836 8:81624324048 The LCM is 24.

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Prime Factorization 1624 44 2222 4 6 22 2 3 2 x 2 x 2 x 2 2 x 2 x 2 x 3

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Prime Factorization 1624 44 2222 4 6 22 2 3 2 x 2 x 2 x 2 2 x 2 x 2 x 3 Common: 2 x 2 x 2 x 2 x 3 = 48 LCM = 48

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Cake Method 1832 2 9 16 LCM = 288 1218 2 6 9 3 2 3 2 x 2 x 3 x 3 = 36 LCM = 36

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Your Turn Find the LCM of 10 and 15 by listing multiples. Find the LCM of 45 and 75 by using prime factorization. Find the LCM of 32 and 48 by using the cake method. LCM = 30 LCM = 96 LCM = 225

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LCD A common denominator is a common multiple of 2 denominators. The least common denominator (LCD) is the LCM of the denominators. Find the LCD of: 7 12 8 18 The LCD is 36

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Compare the Fractions Using 5656 7979 1515 7 50 9 16 7 10 > > <

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Order From Least to Greatest 1212 0.648% 1212 0.648%= 2 10 0.322%= 2 10 0.322% 1515 0.182%= 1515 0.182%

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Homework Complete Lesson 5-8 # 2-20 evens Dont forget that you have a Chapter 5 Test on Friday!! Start Studying

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