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Math 015 Section 8.1 Percents

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**Obj: To write a percent as a fraction or a decimal**

Percent means parts of 100 In the figure at the right, 23 of the 100 squares are shaded. We say that 23% of the squares are shaded. In most application problems it will be necessary to convert percents to fractions or decimals in order to work with them in the problems.

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**Obj: To write a percent as a fraction or a decimal**

1. remove the percent sign 2. divide by 100 3. simplify the fraction Examples: change the following percents to fractions 13 13% = = 100 44 44% = = 100

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**Obj: To write a percent as a fraction or a decimal**

1. remove the percent sign 2. divide by 100 3. simplify the fraction Examples: change the following percents to fractions 240 12 25 240% = = = 2 100 5 1 23 16 23 = 50 16 16 % = = 3 100 2

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**Certain percents and their fraction equivalents should be memorized**

1 5 20 % 25 % 50 % 75 % = 1 6 23 % % % = 1 4 1 3 13 1 2 2 3 23 3 4

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**Obj: To write a percent as a fraction or a decimal**

To write a percent as a decimal 1. remove the percent sign 2. divide by 100 Examples: change the following percents to decimals 61 % = 61 100 = 0.61 0.5 % = 0.5 100 = 0.005 235 % = 235 100 = 2.35

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**Obj: To write a fraction or a decimal as a percent**

To write a fraction or decimal as a percent 1. multiply by 100 % Examples: change the following to percents 38 38 100 % 300 75 12 = = % = % = 37 % 8 2 0.048 = 0.048 100 % = 4.8 % 1.17 = 1.17 100 % = 117 %

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**1 Obj: To write a fraction or a decimal as a percent**

To write a fraction or decimal as a percent 1. multiply by 100 % Write as a percent: write the remainder in fraction form 56 56 100 % 500 250 % 13 = = % = = 83 % 6 3 Write as a percent: round to the nearest tenth 13 100 % 1300 1 49 = = % = 144.4 % 9 9

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