Mr. Savage
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Understanding Percent
Reteach
| A. A percent is a ratio of a number to 100. Percent means “per hundred.” |
|To write 38% as a fraction, write a fraction with a denominator of 100. |
|[pic] |
|Then write the fraction in simplest form. |
|[pic] ’ [pic] ’ [pic] |
|So, 38% ’ [pic] |
|B. To write 38% as a decimal, first write it as fraction. |
|38% ’ [pic] |
|[pic]means “38 divided by 100.” |
|100[pic] |
| |
| |
| |
| |
|So, 38% ’ 0.38. |
Write each percent as a fraction in simplest form.
1. 43% 2. 72% 3. 88% 4. 35%
_________________ _________________ _________________ _____________
Write each percent as a decimal.
5. 64% 6. 92% 7. 73% 8. 33%
_________________ _________________ _________________ _____________
Percents, Fractions, and Decimals
Reteach
|To change a decimal to a percent: |
|( move the decimal point two places to the right; |
|( write the % symbol after the number. |
Write each decimal as a percent.
1. 0.34 2. 0.06 3. 0.93 4. 0.57
5. 0.8 6. 0.734 7. 0.082 8. 0.225
9. 0.604 10. 0.09 11. 0.518 12. 1.03
|To change a fraction to a percent: |[pic] |
|( Find an equivalent fraction with a denominator of | |
|100. | |
|( Use the numerator of the equivalent fraction as the| |
|percent. | |
Write each fraction as a percent.
13. [pic] 14. [pic] 15. [pic] 16. [pic]
17. [pic] 18. [pic] 19. [pic] 20. [pic]
21. [pic] 22. [pic] 23. [pic] 24. [pic]
Solving Percent Problems
Reteach
|You can use this proportion to solve percent problems. |
| |[pic] | |
| 9 is what percent of 12? | | 30% of what number is 24? |
| | | |
|Think: part unknown total | |Think: percent unknown part |
|[pic] | |[pic] |
|So, 9 is 75% of 12. | |So, 30% of 80 is 24. |
Solve.
| 1. What percent of 25 is 14? | 2. 80% of what number is 16? |
|a. part ’ _______ |a. part ’ _______ |
|b. total ’ _______ |b. total ’ _______ |
|c. percent ’ _______ |c. percent ’ _______ |
|d. Write and solve the proportion. |d. Write and solve the proportion. |
|Answer: _______ % of 25 is 14. |Answer: 80% of _______ is 16. |
| 3. What percent of 20 is 11? _______ | 4. 18 is 45% of what number? _______ |
| 5. 15 is what percent of 5? _______ | 6. 75% of what number is 105? _______ |
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lesson
8-1
−300
800
−800
0
lesson
8-2
0.07 ’.07. ’ 7%
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lesson
8-3
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1)To convert a fraction to a decimal ... Divide
2) To convert a decimal to a percent … move the decimal 2 spaces to the right. Think of it as moving the decimal point into the % spot.
3) To convert a percent to a fraction … convert % back to a fraction and use place value. Reduce.
4) To convert a decimal to a fraction … use place value and reduce.
5) To convert a fraction to a percent … convert to a decimal then to a percent- moving the decimal two places to the right and place the % symbol.
6) To convert a percent to a decimal … move the % 2 spaces to the left and replace the % symbol with a decimal point (.)
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