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ALGEBRA READINESS LESSON 7-2 Warm Up Lesson 7-1 Warm-Up
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ALGEBRA READINESS LESSON 7-1 Warm Up Lesson 7-1 Warm-Up How many periods are in a hockey game?
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ALGEBRA READINESS “Finding a Percent of a Number” (7-2) How do you find the percent of a number? To find the percent of a number, multiply the number by the percent in its fraction form or decimal form or use a proportion Example:Find 22% of 250.. Since “of” in a word problem means “multiply”, we need to multiply the two numbers. Before you multiply, though, you need to clear the percent sign by turning the percent into a fraction or a decimal. Method 1: Multiply by the fraction form of the percent Method 2: Multiply by the decimal form of the percent 22% = Write the percent as a fraction. 22 100 250 = Divide 250 and 100 by their GCD, 50 22 100 250 1 5 2 22% = 0.22 Write the percent as a decimal. 0.22 250 = 55 Multiply. So 22% of 250 is 55 22 100 = 55 Divide 250 and 100 by their GCD, 110 2
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ALGEBRA READINESS Find 88% of 250. So, 88% of 250 is 220. 88% = 0.88 Write 88% as a decimal. 0.88 250 = 220 Multiply. Method 2 Write the percent as a fraction. Method 1 Write the percent as a decimal. 88% = = Write the percent as a fraction in simplest form. 88 100 22 25 = 220 Multiply. 22 25 250 = Divide 25 and 250 by their GCD, 25. 22 25 250 1 10 1 Finding a Percent of a Number LESSON 7-2 Additional Examples
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ALGEBRA READINESS Estimate a 15% tip on a restaurant bill of $17.73. Why it works The bill is about $18. I know 10% of 18 is of 18, or 1.8. Then 5% of 18 is half of 1.8, or 0.9. A 15% tip is about $1.80 plus $.90, or $2.70. 1 10 A 15% tip for a $17.73 bill is about $2.70. 15% of 18 = 0.15 18 Rewrite 15% as 0.15 = (0.10 + 0.05) 18 Rewrite 0.15 as 0.10 + 0.05 = 0.10(18) + 0.05(18) Use the Distributive Property. = 1.8 + 0.9 Multiply. What you think = 2.70 Add. Finding a Percent of a Number LESSON 7-2 Additional Examples
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ALGEBRA READINESS 1.Find 81% of 110. 2. Use fractions to estimate 74% of 38. 3.Estimate a 15% tip on $8.15. 0.81 110 = 89.1 0.1(8) + 0.1(4) = 0.8 + 0.4 = $1.20 40 = 30 3434 Finding a Percent of a Number LESSON 7-2 Lesson Quiz
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