Warm Up

1
Warm Up Evaluate. 1. 2. 3. 4.


14
?
2
Vocabulary
percent
3
Percents are ratios that compare a number to 100.
Ratio Decimal Percent
     
   
   
30
0.30
50
0.50
75
0.75
4
(No Transcript)
5
To convert a fraction to a decimal, divide the
numerator by the denominator.
To convert a decimal to a percent, multiply by
100 and insert the percent symbol.
0.125 ? 100 ? 12.5
6
Additional Example 1 Finding Equivalent
Fractions and Percents
Find the missing fraction or percent equivalent
for each letter ag on the number line.
a
10
7
Additional Example 1 Continued
Find the missing fraction or percent equivalent
for each letter ag on the number line.
25
b
0.25
8
Additional Example 1 Continued
Find the missing fraction or percent equivalent
for each letter ag on the number line.
c
40
9
Additional Example 1 Continued
Find the missing fraction or percent equivalent
for each letter ag on the number line.
60
d
0.60
10
Additional Example 1 Continued
Find the missing fraction or percent equivalent
for each letter ag on the number line.
e
11
Additional Example 1 Continued
Find the missing fraction or percent equivalent
for each letter ag on the number line.
0.875
f
12
Additional Example 1 Continued
Find the missing fraction or percent equivalent
for each letter ag on the number line.
g
125
13
Check It Out! Example 1
Find the missing fraction or percent equivalent
for each letter ag on the number line.
0.125
a
14
Check It Out! Example 1 Continued
Find the missing fraction or percent equivalent
for each letter ag on the number line.
b
25
15
Check It Out! Example 1 Continued
Find the missing fraction or percent equivalent
for each letter ag on the number line.
37
c
0.375
16
Check It Out! Example 1 Continued
Find the missing fraction or percent equivalent
for each letter ag on the number line.
d
50
17
Check It Out! Example 1 Continued
Find the missing fraction or percent equivalent
for each letter ag on the number line.
62
e
0.625
18
Check It Out! Example 1 Continued
Find the missing fraction or percent equivalent
for each letter ag on the number line.
f
75
19
Check It Out! Example 1 Continued
Find the missing fraction or percent equivalent
for each letter ag on the number line.
100

g
1
20
Additional Example 2A Comparing Fractions,
Decimals, and Percents
Compare. Write lt, gt, or . 40
1 4
1 4
0.25 25
Write as a percent.
25 lt 40
Compare.
1 4
lt 40
21
Additional Example 2B Comparing Fractions,
Decimals, and Percents
Compare. Write lt, gt, or . 0.893 50
0.893 89.3
Write as a percent.
89.3 gt 50
Compare.
0.893 gt 50
22
Check It Out! Example 2A
Compare. Write lt, gt, or . 65
3 4
3 4
0.75 75
Write as a percent.
75 gt 65
Compare.
3 4
gt 65
23
Check It Out! Example 2B
Compare. Write lt, gt, or . 0.136 20
0.136 13.6
Write as a percent.
13.6 lt 20
Compare.
0.136 lt 20
24
Additional Example 3 Ordering Fractions,
Decimals, and Percents
3 4
Write 0.075, , 0.41, and 100 in order from
least to greatest.
3 4
0.75 75
Write the numbers in the same form.
0.41 41
Compare.
0.075 lt 41 lt 75 lt 100
3 4
0.075, 0.41, , 100
25
Check It Out! Example 3
1 2
Write 35, 0.25, , and 200 in order from
least to greatest.
1 2
0.50 50
Write the numbers in the same form.
0.25 25
Compare.
25 lt 35 lt 50 lt 200
1 2
0.25, 35, , 200
26
Additional Example 4 Physical Science
Application
Gold that is 24 karat is 100 pure gold. Gold
that is 14 karat is 14 parts pure gold and 10
parts another metal. What percent of 14 karat
gold is pure gold?
Set up a ratio and simplify.
7 ? 12
Find the percent.
27
Check It Out! Example 4
A bakers dozen is 13. When a shopper purchases a
dozen items at the bakery they get 12. It is said
that the baker eats 1 item from every batch.
What percent of the food does the baker eat?
Set up a ratio and simplify.
1 ? 13 ?
0.077 ?
7.7
Find the percent.
The baker eats about 7.7 of the items they bake.
28
Lesson Review Part I
Find each equivalent value. 1. as a percent 2.
20 as a fraction 3. as a decimal Compare.
Write lt, gt, or . 4. 30 5. 0.650
97
37.5
0.625
gt
lt
29
Lesson Review Part II
6. Write 245, , 0.133, and 66.6 in order
from least to greatest. 5. About 342,000 km2 of
Greenlands total area (2,175,000 km2) is not
covered with ice. To the nearest percent, what
percent of Greenlands total area is not covered
with ice?
0.133, , 66.6, 245
16