# Types of Numbers

### Topics

## Introduction to :

A **percent** is an abbreviation for a fraction where the denominator is 100. "%" means "over 100." So that 64% you got on your history pop quiz last week? Yeah - that wasn't actually out of 70, sorry to say. You might want to hold off on the bragging.

Samples:

Abbreviate 3/100 - 3%

Abbreviate 42/100 - 42%

Abbreviate 200/100 - 200%

Notice that each of these fractions with denominator 100 can also be written as a decimal, so

3% = 3/100 = 0.03

42% = 42/100 = 0.42

200% = 200/100 = 2

To get from a decimal to a percent, we move the decimal point two places to the right (because there are two zeros in 100) and add a percent sign. Where did a percent sign come from, you ask? Check out what happens when we take a percent sign, shake it up a bit and rearrange the parts:

% ... ... ... ...

Hey, look at that! There's a "100" hiding in there!

When doing arithmetic with percents, it's usually easiest to turn them back into fractions or decimals first. Percents aren't the easiest things to work with, but they sure are nice for labeling milk.

To get from a percent to a decimal, move the decimal point two places to the left and erase the percent sign. Or, if your eraser doesn't work on your computer monitor, hit the "delete" key.

Remember that when it comes to fractions, "of" means "multiply." Since percents are abbreviations for fractions, this is also true for percents. It's like we have our own secret language. Hey - let's also have "sundial" stand for "banana peanut butter sandwich." Man, we could go for a sundial right now. *Wink*.

#### Example 1

Express the decimal as a percent. 0.034 |

#### Example 2

Express the decimal as a percent. 7.2 |

#### Example 3

Express the decimal as a percent. 0.5 |

#### Example 4

Express the percent as a decimal. 5.4% |

#### Example 5

Express the percent as a decimal. 0.03% |

#### Example 6

Express the percent as a decimal. 700% |

#### Example 7

Write "40% of 50" as an equation. |

#### Exercise 1

Express the decimal as a percent.

0.37

#### Exercise 2

Express the decimal as a percent.

4.5

#### Exercise 3

Express the decimal as a percent.

0.003

#### Exercise 4

Express the percent as a decimal.

4%

#### Exercise 5

Express the percent as a decimal.

200%

#### Exercise 6

Express the percent as a decimal.

0.03%

#### Exercise 7

Evaluate.

50% of 4.5

#### Exercise 8

Evaluate.

20% of 100

#### Exercise 9

Evaluate.

3% of 90