1. 6
Chapter
Chapter 2
Percent

2. Percents, Decimals, and Fractions
Section
6.1
Percents, Decimals, and Fractions

3. Objective A
Understand Percents.

4. Understanding Percent
Percent means per one hundred. The % symbol is used to denote percent.
If 48 of 100 squares are shaded, % is shaded.
Objective A

5. Example
There are 100 parrots and 58 are female. What percent of the parrots are female?
Objective A 5

6. Example
31 out of 100 instructors are in their forties. What percent of instructors are in their forties?
Objective A 6

7. Write Percents as Decimals or Fractions.
Objective B
Write Percents as Decimals or Fractions.

8. Writing Percents as Decimals
Writing a Percent as a Decimal
Replace the percent symbol with its decimal equivalent, 0.01; then multiply.
43% = 43(0.01) = 0.43
Objective A 8

9. Examples Write the percent as a decimal. 49% 49% = 49(0.01) b. 3.8%
= 0.49
3.8(0.01) = 0.038
185(0.01) = 1.85
Objective A
0.69(0.01) = 9

10. Percents as Fractions Writing a Percent as a Fraction
Replace the percent symbol with its fraction equivalent, then multiply. Don’t forget to simplify the fraction if possible.
Objective A

11. Example
Write each percent as a fraction or a mixed number in simplest form.
60%
b. 1.4%
Objective A 11

12. Example
Write each percent as a fraction or mixed number in simplest form. a. 150% b. c. 12% 2

13. Write Decimals or Fractions as Percents.
Objective C
Write Decimals or Fractions as Percents.

14. Writing Decimals as Percents
Writing a Decimal as a Percent
Multiply by 1 in the form of 100%.
0.27 = 0.27(100%) = 27%
Objective A 14

15. Examples Write each decimal as a percent. 0.26 1.46 0.26(100%) = 26%
0.7
0.061
0.26(100%) = 26%
1.46(100%) = 146%
0.09(100%) = 9%
Objective A
0.7(100%) = 70%
0.061(100%) = 6.1% 15

16. Fractions as Percents Writing a Fraction as a Percent
Multiplying by 1 in the form of 100%
Objective A 16

17. Examples Write each fraction or a mixed number as a percent. a. b.
Objective A 17

18. Convert Percents, Decimals and Fractions.
Objective D
Convert Percents, Decimals and Fractions.

19. Summary
Objective A 19

20. Example
67% of American men are happy with their current weight. Convert this percent to a decimal. (Source: Gallup for Wheat Foods Council). Write this percent as a decimal and fraction.
As a decimal:
Objective A
As a fraction: 20

21. Example
An advertisement for a stereo system reads “1/5 off”. What percent off is this?
Objective A
Thus, “1/5 off” is the same as “20% off”. 21