1. Learn to compare and order decimals, fractions, and percents.

2. Percents are ratios that compare a number to 100.

3. Think of the % symbol as meaning per 100 or /100. 75% = 75/100 = 0.75
Reading Math

4. To convert a fraction to a decimal, divide the numerator by the denominator.1 8
= 1 ÷ 8 = 0.125
To convert a decimal to a percent, multiply by 100 and insert the percent symbol.
0.125  100  12.5%

5. Example 1: Finding Equivalent Ratios and Percents
Find the missing ratio or percent equivalent for each letter a–g on the number line. 10
100 = 1 10 a:
10% =

6. Example 1 Continued
Find the missing ratio or percent equivalent for each letter a–g on the number line. 1 4 = b:
0.25 =
25%

7. Example 1 Continued
Find the missing ratio or percent equivalent for each letter a–g on the number line. 40
100 = 4 10 = 2 5 c:
40% =

8. Example 1 Continued
Find the missing ratio or percent equivalent for each letter a–g on the number line. 3 5 = d:
0.60 =
60%

9. Example 1 Continued
Find the missing ratio or percent equivalent for each letter a–g on the number line. 2 3
% = 66 2 3 e:
0.666 =

10. Example 1 Continued
Find the missing ratio or percent equivalent for each letter a–g on the number line. 1 2
% = 87
875
1000 = 7 8 f:
0.875 =

11. Example 1 Continued
Find the missing ratio or percent equivalent for each letter a–g on the number line.
125
100 = 5 4 = 1 4 g:
125% =

12. Example 2
Find the missing ratio or percent equivalent for each letter a–g on the number line. c a b e d
50%
12 % f g 3 8
25% 1 2 5
75% 1 2
% = 12
125
1000 = 1 8 a:
0.125 =

13. Example 2 Continued
Find the missing ratio or percent equivalent for each letter a–g on the number line. c a b e d
50%
12 % f g 3 8
25% 1 2 5
75% 25
100 = 1 4 b:
25% =

14. Example 2 Continued
Find the missing ratio or percent equivalent for each letter a–g on the number line. c a b e d
50%
12 % f g 3 8
25% 1 2 5
75% 1 2 3 8 = c:
0.375 =
37 %

15. Example 2 Continued
Find the missing ratio or percent equivalent for each letter a–g on the number line. c a b e d
50%
12 % f g 3 8
25% 1 2 5
75% 50
100 = 1 2 d:
50% =

16. Example 2 Continued
Find the missing ratio or percent equivalent for each letter a–g on the number line. c a b e d
50%
12 % f g 3 8
25% 1 2 5
75% 1 2 5 8 = e:
0.625 =
62 %

17. Example 2 Continued
Find the missing ratio or percent equivalent for each letter a–g on the number line. c a b e d
50%
12 % f g 3 8
25% 1 2 5
75% 75
100 = 3 4 f:
75% =

18. Example 2 Continued
Find the missing ratio or percent equivalent for each letter a–g on the number line. c a b e d
50%
12 % f g 3 8
25% 1 2 5
75%
100 =
100% g:
1 =

19. Example 3: Comparing Fractions, Decimals, and Percents
Compare. Write <, >, or =.
40% 1 4 1 4
= 0.25
Write as a decimal.
0.25 < 0.40
Compare. 1 4
< 40%
When multiplying a decimal by 100, simply move the decimal point two spaces to the right.
Remember!

20. Example 4: Comparing Fractions, Decimals, and Percents
Compare. Write <, >, or =. %
50% = 0.50
Write as a decimal.
0.893 > 0.50
Compare.
0.893 > 50%

21. Example 5
Compare. Write <, >, or =.
65% 3 4 3 4
= 0.75
Write as a decimal.
0.75 > 0.65
Compare. 3 4
> 65%

22. Example 6
Compare. Write <, >, or =. %
20% = 0.20
Write as a decimal.
0.136 < 0.20
Compare.
0.136 < 20%

23. Example 7: Ordering Fractions, Decimals, and Percents3 4
Write 0.075%, , 0.41, and 100% in order
from least to greatest. 3 4
= 0.75
Write as decimals.
100% = 1.00
0.075% =
0.075% < 41% < 75% < 100%
Compare. 3 4
0.075%, 0.41, , 100%

24. Example 8 1 2
Write 35%, 0.25, , and 200% in order
from least to greatest. 1 2
= 0.50
Write as decimals.
35% = 0.35
200% = 2.00
25% < 35% < 50% < 200%
Compare. 1 2
0.25, 35%, , 200%

25. Lesson Quiz for Student Response Systems
Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems 25

26. Lesson Quiz: Part I
Find each equivalent value.
1. as a percent
2. 20% as a fraction
as a decimal
Compare. Write <, >, or =. % % 3 8
37.5% 1 5 5 8
0.625 7 11
>
<

27. Lesson Quiz: Part II
6. Write 245%, , 0.133, and 66.6% in order
from least to greatest.
5. About 342,000 km2 of Greenland’s total area (2,175,000 km2) is not covered with ice. To the nearest percent, what percent of Greenland’s total area is not covered with ice? 1 5 1 5
0.133, , 66.6%, 245%
16%

28. Lesson Quiz for Student Response Systems5 9
1. Identify the equivalent value of as a percent.
A. 45.3%
B. 55.5%
C. 78.3%
D. 86.5% 28

29. Lesson Quiz for Student Response Systems
2. Identify the equivalent value of 45% as a fraction. A. B. C. D. 29

30. Lesson Quiz for Student Response Systems3 8
3. Identify the equivalent value of as a decimal. A B C D 30

31. Lesson Quiz for Student Response Systems
4. Identify the correct symbol to compare.
0.430___50%
A. >
B. <
C. =
D. > 31