This pdf includes the following topics:- Percentage Percents to Decimals Percents to Fractions Decimals to Percents Fractions to Percents Percent Sentences
1. 3.2 Percents 1. Write a percent as a fraction or decimal number. 2. Write a fraction or decimal number as a percent. 3. Translate and solve percent sentences. 4. Solve problems involving percents.
2. Ratio: A comparison of two quantities using a quotient (fraction). a c Proportion: Two ratios set equal. b d Cross Cross products are equal. ad bc Percent: A ratio representing some part out of 100. 20% = 20 out of 100 20 100 1 or 0.2 5
3. Percents to Decimals Drop % and move decimal point 2 places to the left. 55% =.55 38% =.38 14.5% =.145 .25% =.0025 1 45 % 45.5% .455 2
9. Percent Sentences A percent of a whole is a part of the whole. % multiply total = part (follows “of”) 36% of 72 is what number? .36 ∙ 72 = x .36 (72) = x 25.92 = x 36% of 72 is 25.92.
10. Percent Sentences A percent of a whole is a part of the whole. % multiply total = part 42% of what number is 31.92? .42 ∙ x = 31.92 .42 x = 31.92 x = 76 42% of 76 is 31.92.
11. Percent Sentences What percent of 63 is 56? x ∙ 63 = 56 63 x = 56 x = .8888888… x = 88.9% 88.9% of 63 is 56.
16. Percent Sentences On Monday, January 17, 2012, the Morning Sentinel reported it planned to cut 100 full-time jobs in a bid to return to profitability. This is 6% of the newspaper’s workforce. How many employees does the Sentinel have? Percent: 6% = .06 Percent ∙ whole = part Whole: x .06 x = 100 Part: 100 x = 1666.66666 x = 1667 Sentinel has 1,667 employees.
17. Percent Sentences Jamal purchases a new surfboard that costs $570. The sales tax is 7%, what is the total cost of the surfboard? Percent: 7% = .07 Percent ∙ whole = part Whole: 570 .07(570) = x Part: x x = 39.90 What did we find? Sales tax. 570.00 39.90 Total cost = cost plus tax. 609.90 Total cost is $609.90.
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