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Percents

Explore the world of percentages - learn how to convert fractions to decimals, decimals to percents, and vice versa. Practice examples and techniques for finding the percentage of a number.

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Percents

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  1. Percents Applications of Percents

  2. Percent means one hundredth and it is denoted by the symbol %. A percent can be expressed as a fraction and a decimal. Examples

  3. Changing Fractions to Decimals Examples 18/100= .18 2. 5/100 = .05 3. 175/100 = 1.75 When a fraction has a denominator that is a factor of 100, you form an equivalent fraction with 100 as the denominator. Then you multiply both the numerator and the denominator by the common factor to get the missing numerator. Examples 24 = _?_ 2. 13 = _?_ 3. 15 = _?_ 4. 3 _?_ 50 100 20 100 25 100 5 100

  4. Changing Decimals to Percents • When you change a decimal to a percent, you shift the decimal point two places to the right and add a percent symbol. • Examples • .75 = 75% • .09 = 9% • .013 = 1.3% • 1.35 = 135% • 2 = 200% (Every whole number has an imaginary decimal point behind it. Remember $2 is the as $2.00) • 6. 2.6 = 260% ( If there are not enough numbers when you shift the decimal point, you add zeros as needed for place holders.)

  5. Changing Percents to Decimals When you change a percent to a decimal, you shift the decimal point two places to the left. Examples 1. 7% = .07 35% = .35 1.9% = .019 320% = 3.20 15.3% = .153

  6. Let’s Practice! Write the following fractions as decimals 1. 11/100 = 2. 3/100 = 3. 44/50 = 4. 12/25 = 140/100 = 6. 15/20 = 7. 8/10 = Write the following decimals as percents 1. .13 = 2. .016 = 3. 1.5 = .06 = 5. .4 = 6. 5 = Write the following percents as decimals 1. 132% = 2. 6.9% = 3. 8% = 4. 16% = 5. 11.9%

  7. Finding the Percent of a Number When you find the percent of a number, you change the percent to a decimal (by shifting the decimal point two places to the left) and then you multiply the decimal by the number given in the problem. * Remember your decimal rules for multiplication! Examples 1. 42% of 116 = .42 x 116 3% of 36 = .03 x 36 115% of 88 = 1.15 x 88 = 2.5% of 224 = .025 x 224 =

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