1. Converting Decimals and Percents

2. Converting Decimals and Percents
Definition:
Percent – Is a ratio that compares a number to The word percent means “per hundred”. For example, 16% means 16 per 100 or 16 out of 100.

3. Converting Decimals and Percents
Writing Decimals as Percents
Example 1: Write 0.3 as a percent.
0.3
0.3 • 100 =
0.30
30%
Original problem
Strategy:
To write a decimal as a percent:
* Multiply the decimal by 100 (move the decimal two places to the right) and add a percent sign.
Multiply the decimal by 100 and add a percent sign.
Final answer
0.3 is equal to 30% when written as a percent.

4. Converting Decimals and Percents
Writing Percents as Decimals
Example 2: Write 24% as a decimal.
24%
24 ÷ 100 =
024.
0.24
Original problem
Strategy:
To write a percent as a decimal:
* Remove the decimal and divide the decimal by 100 (move the decimal two places to the left).
Remove the decimal and divide the decimal by 100.
Final answer
24% is equal to 0.24 when written as a decimal.

5. Converting Decimals and Percents
The “D 2 P” Trick
When converting decimals and percents, think “D 2 P”.
What is “D 2 P”?
When converting a decimal to a percent, move the decimal 2 places to the right and add a percent sign.
When converting a percent to a decimal, drop the percent sign and move the decimal 2 places to the left.

6. Converting Decimals and Percents
Convert the following decimals to percents.
1.) ) ) 0.54
4.) ) ) 0.082

7. Converting Decimals and Percents
Convert the following percents as decimals.
1.) 14% 2.) 25.5% 3.) 300%
4.) 9.1% 5.) 1,250% 6.) 0.04%

8. Converting Decimals and Percents
Real-Life Application
Derek Jeter recently retired from a 20 year baseball career. If his lifetime batting average was .310, what percentage of the time did he successfully get a hit?