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Percents as Decimals

Rewrite percents as decimals.

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Percents as Decimals

Let’s Think About It

License: CC BY-NC 3.0

The school is fundraising for a new gym. An amusement park owner has agreed to have a fundraiser at his park. He plans to donate 15% of every dollar spent at the park to the gym fund. How much of every dollar will be donated to the school? Write the amount as a decimal.

In this concept, you will learn how to write percents as decimals.

Guidance

Percents and decimals are parts of a whole. A percentage is a quantity out of 100. A decimal number with two decimal digits also represents a quantity out of 100.

Compare 34% and 0.34.

34% is 34 out of 100.The decimal 0.34 is 34 hundredths or 34 out of 100. Both quantities represent the same ratio.

A percents can be written as a decimal by replacing “out of 100” with “hundredths.” Remove the percent symbol and move the decimal point two places to the left.

Here is a percent:

Write 45% as a decimal.

First, remove the percent symbol.

Then, move the decimal point two places to the left. Remember that the decimal point is located between the ones and the tenths place.

45% is written as 0.45.

Let’s look at another percent.

Write 5% as a decimal.

First, remove the percent symbol.

Then, move the decimal point in two places to the left. There is no number to the left of 5. Use zero as a place holder.

5% is written as 0 .05

Guided Practice

Write 15% as a decimal.

First, remove the percent symbol.

Then, move the decimal point two places to the left.

15% is written as 0 .15

Examples

Write the following percents as a decimal.

Example 1

First, remove the percent symbol.

Then, move the decimal point in two places to the left.

17% is written as 0.17.

Example 2

First, remove the percent symbol.

Then, move the decimal point in two places to the left.

25% is written as 0.25.

Example 3

First, remove the percent symbol.

Then, move the decimal point in two places to the left.

75% is written as 0.75.

Follow Up

License: CC BY-NC 3.0

Remember the school fundraiser at the amusement park?

15% of every dollar will be donated towards the school. Convert the percent to a decimal to find how much per dollar will be donated.

Write 15% as a decimal.

First, remove the percent symbol.

Next, move the decimal point two places to the left.

0.15 of every dollar will be donated to the school. Then, multiply $1 by 0.15.

$0.15 or 15 cents of every dollar will go to the school.

Video Review

http://www.youtube.com/watch?v=RvtdJnYFNhc

http://www.mathplayground.com/howto_perfracdec.html 

http://www.virtualnerd.com/middle-math/ratios-proportions-percent/percents/percent-to-decimal-conversion

https://www.youtube.com/watch?v=bcK9FpPQfog

Explore More

Write each percent as a decimal.

  1. 54%
  2. 11%
  3. 6%
  4. 12%
  5. 89%
  6. 83%
  7. 19%
  8. 4%
  9. 9%
  10. 32%
  11. 65%
  12. 88%
  13. 78%
  14. 67.5%
  15. 18.2%

Answers for Explore More Problems

To view the Explore More answers, open this PDF file and look for section 8.11. 

Vocabulary

Decimal

Decimal

In common use, a decimal refers to part of a whole number. The numbers to the left of a decimal point represent whole numbers, and each number to the right of a decimal point represents a fractional part of a power of one-tenth. For instance: The decimal value 1.24 indicates 1 whole unit, 2 tenths, and 4 hundredths (commonly described as 24 hundredths).

Image Attributions

  1. [1]^ License: CC BY-NC 3.0
  2. [2]^ License: CC BY-NC 3.0

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