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**Chapter 7—Percents

7-2 Expanding the Scope of Percent Notation

The previous lesson introduced you you percent notation and their equivalent fraction and decimal forms. There is more to the percent number line that integers between 0 and 100. Here is what you will be studying in this section:

Percents that have fraction/decimal parts, such as:

56½%, ¼%, 37.8%, 3.625%

Percents that are greater than 100, such as:

110%, 200%, 102.4%

Percents with Fraction or Decimal Parts

Sometimes you will find percents that include fractions and decimal values. Financial reports and mortgage rates, for instance, sometimes include percentages written as 6½ % or 12.3 %. There is nothing tricky about these fractional parts of a percent. They are simply parts of one-hundred percent.

You will also find percentages that are less than 1. Examples are 0.1%, 0.125%, and so on. These are nothing more than expressions of small percentages—amounts that are less than 1 out of 100.

**Recall** **To rewrite a percent to decimal:** Drop the % sign and multiply by 0.01 |

Examples

Rewrite 12½ % as a decimal value: 12½ x 0.01 = 12.5 x 0.01 = 0.125

Rewrite ½ % as a decimal value: 12½ x 0.01 = 12.5 x 0.01 = 0.125

Rewrite 44.25% as a decimal value 44.25 x 0.01 = 0.4425

Examples & Exercises

** Percent to Decimal** Use these Examples & Exercises to check your understanding of how to rewrite percents with fraction parts to decimal. | |

Of course, you should also be able to rewrite any fraction or decimal value to percent.

**Recall** **To rewrite a decimal or fraction to percent:** Multiply by 100 and attach the % sign. |

Examples

Rewrite 0.0625 as a percent: 0.0625 x 100 = 6.25% or 6¼%

Rewrite 0.005 as a percent: 0.005 x 100 = 0.5% or ½%

Rewrite 0.00021 as a percent: 0.0002 x 100 = 0.021%

Rewrite 1/8 as a percent: 1/8 x 100 = 100/8 = 12.5%

Examples & Exercises

** Decimal to Percent** Use these Examples & Exercises to check your understanding of how to rewrite any decimal/fraction to percent. | |

Percents Greater than 100%

Examples

Rewrite 1.0 as a percent 1.0 x 100 = 100%

Rewrite 1.125 as a percent 1.125 x 100 = 112.5%

Rewrite 220% as a decimal 220 x 0.01 = 2.2

Rewrite 505% as a decimal 505 x 0.01 = 5.05

Examples & Exercises

** Percents Larger than 100%** Use these Examples & Exercises to check your understanding of percents larger than 100. | |