Algebra 1 Common Core Student Edition, Grade 8-9

Fr act i o n s, D e ci m al s, a n d Per cen t s

I

Percent m eans p er h u ndred. 50% m ean s 50 p er h u n d re d. 50% = f§)j = 0.50.

You can write a fraction as a p ercen t by w riting th e fraction as a decim al first. Then

move the decim al p o in t two places to the right an d w rite a p ercen t sign.

Ex a m p l e 1

Write each num ber as a percent.

ai b-lo c!

1 = 0.6 20 = 0-35 | = 0.666

0.6 = 60% 0.35 = 35% 0.666 = 66. 6 % 66.7%

You can write a p ercen t as a decim al by m oving th e decim al p o in t two places to

the left an d rem oving the p ercen t sign. You can write a p ercen t as a fraction w ith a

denom inator of 100. Then simplify the fraction, if possible.

Ex a m p l e 2

Write each percent as a decim al and as a fraction or m ixed number.

a. 25% In,

25% = 0.25

25

b. 2

\% = 0.5% = 0.005

25% = 100

1

2

100 •=^100

1 1 = 1

2 * 100 200

r

C. 3 6 0 %

360% = 3.6

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360 %- I o o - T - 35

Ex e r c i se s

Write each num ber as a percent. If necessary, round to the nearest tenth.

1. 0.56

7. 1

2. 0.09

7 8. 209

Write each percent as a decimal.

13. 7% 14. 8.5%

19. 15% 20. 72%

3. 6.02

9. h

15. 0.9%

21. 0.03%

4. 5.245

10. |

16. 250%


17. 36.2%

5. 8.2

11. 
    

    I

    
    


12. 
    

    83%

    
    


13. 
    

    365%

    
    

6. 0.14

12 i.. - i g

18. 110 %

24. 101%

Write each percent as a fraction or m ixed num ber in sim plest form.

25. 19%

31. 24%

26.

32. 845%

27. 450%

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8'

28.

34. 480%

29. 64%

35. 60%

30.

36. 350%