1. Understanding Percents
LESSON 6-1
Please take your homework notebooks from the ledge.
I still need to check Activity 5-5a for:
Jason Lee
Sungho
Addison
Hanson
Natalie
Kelly
Bryan
Problem of the Day: Find equivalent ratios for the following
1) 2) 2 5 13 50
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2. Understanding Percents
LESSON 6-1
Problem of the Day: Find equivalent ratios for the following
1) 2)
Possible Answers: 2 5 13 50 2 5 = 4 10 6 15 13 50 = 26
100 39
150
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3. Understanding Percents
LESSON 6-1
Additional Examples
In a floor plan of a 10  10 room, a chair takes up 4 spaces. Write the ratio and percent of the chair space to the total floor space.
There are 4 grid spaces for the chair. Write as a ratio to the total
number of grid spaces, 100. 4
100
chair  
Then write as a percent.
= 4%
Quick Check
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4. Understanding Percents
LESSON 6-1
Additional Examples
Model 82% in a 10  10 grid.
Shade 82 of the 100 grid spaces.
Quick Check
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5. Understanding Percents
LESSON 6-1
Additional Examples
What percent does the shaded area represent? 3 5 = 60
100
= 60%
Quick Check
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6. Understanding Percents
LESSON 6-1
Additional Examples
Write each ratio as a percent. 3 10 a. =
3 • 10
10 • 10
Since 10 • 10 is 100, multiply numerator and
denominator by 10. 3 10 30
100
Simplify.
30%
Write as a percent. 4 5 b. =
4 • 20
5 • 20
Since 5 • 20 is 100, multiply numerator and
denominator by 20. 4 5 80
100
Simplify.
80%
Write as a percent.
Quick Check
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7. Understanding Percents
LESSON 6-1
Lesson Quiz
1. Write a ratio and a percent for the shaded figure.
Write each ratio as a percent.
2. 3. 30
100
; 30% 1 10 11 50
10%
22%
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8. Understanding Percents
LESSON 6-1
Homework
1. Write a ratio and a percent for the shaded figure.
Write each ratio as a percent.
2. 3. 30
100
; 30% 1 10 11 50
10%
22%
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9. Percents, Fractions, and Decimals
LESSON 6-2
Check Skills You’ll Need
(For help, go to Lesson 2-6.)
1. Vocabulary Review What is a repeating decimal?
Write each fraction as a decimal.
2. 3. 5 16
= 5 ÷ 16 = 5 16 11 40 11 40
= 11 ÷ 40 = 0.275 4 9
= 4 ÷ 9 = 0.44…= 0.4 4 9 2 15
= 2 ÷ 15 = 0.133…= 0.13
Check Skills You’ll Need
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10. Percents, Fractions, and Decimals
LESSON 6-2
Additional Examples
Write each percent as a decimal.
a. 4%
b. 34.3%
c. 16%
d. 6.4%
0 04.
Move the decimal point two
places to the left. .
0.04
0 34.3 .
0.343
0 16. .
0.16
0 06.4 .
0.064
Why can you do this shortcut?
Because “percent” means “for every 100” or “divided by 100” so 4% = 4 divided by 100
4/100 = 0.04
Quick Check
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11. Percents, Fractions, and Decimals
LESSON 6-2
Additional Examples
Write each decimal as a percent.
a. 0.06 b
c. 0.5
d. 0.95
0.06 .
Move the decimal point two
places to the right
= 6%
0.52 3 .
= 52.3%
0.50 .
= 50%
0.95 .
= 95%
Notice that this is just the opposite shortcut.
Quick Check
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12. Percents, Fractions, and Decimals
LESSON 6-2
Additional Examples
Write each fraction as a percent. When necessary, round to the nearest tenth of a percent. 3 10 a.
Divide the numerator by the denominator. 3 10
= 0.3
= 30%
Write as a percent. 37 49 b.
Use a calculator.
= %
Write as a percent.
75.5%
Round to the nearest
tenth of a percent.
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13. Percents, Fractions, and Decimals
LESSON 6-2
Additional Examples
(continued) 6 30 c.
Use a calculator.
20%
Write as a percent. 14 65 d.
Use a calculator.
= %
Write as a percent.
21.5%
Round to the nearest
tenth of a percent.
Quick Check
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14. Percents, Fractions, and Decimals
LESSON 6-2
Additional Examples
Write each percent as a fraction in simplest form.
a. 18%
18% =
Write 18% as a fraction with a
denominator of 100. 18
100
Divide the numerator and the denominator by
the GCF, 2. =
18 ÷ 2
100 ÷ 2 = 9 50
Simplify the fraction.
b. 12%
12% =
Write 12% as a fraction with a
denominator of 100. 12
100 =
12 ÷ 4
100 ÷ 4
Divide the numerator and the denominator by
the GCF, 4. = 3 25
Simplify the fraction.
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15. Percents, Fractions, and Decimals
LESSON 6-2
Additional Examples
(continued)
c. 45%
45% =
Write 45% as a fraction with a
denominator of 100. 45
100
Divide the numerator and the denominator by
the GCF, 5. =
45 ÷ 5
100 ÷ 5 = 9 20
Simplify the fraction.
Quick Check
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16. Percents, Fractions, and Decimals
LESSON 6-2
Additional Examples
Order from least to greatest. 3 5 2 10
a. , , 0.645, 13%
Write all numbers as decimals. Then locate each on a number line. 3 5
= 0.6 2 10
= 0.2
0.645
13% = 0.13
Divide the numerator by the denominator.
This number is already in decimal form.
Move the decimal point two places to the left.
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17. Percents, Fractions, and Decimals
LESSON 6-2
Additional Examples
(continued) 10 20
b. 40%, , 18%, 0.082
Write all numbers as decimals. Then locate each on a number line.
40% = 0.4
= 0.5
18% = 0.18
0.082
Divide the numerator by the denominator.
This number is already in decimal form.
Move the decimal point two places to the left. 10 20
Quick Check
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18. Percents, Fractions, and Decimals
LESSON 6-2
Lesson Quiz
Write in order from least to greatest.
1. 30%, 0.24, , , 9%
, 40%, , 0.77, 7% 2 5 7 8
0.24, 30%, 2 5
9%, , 0.9 7 8 1 4 7 10
, 0.35, 40% 1 4
7%, , 0.77 7 10
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19. Percents, Fractions, and Decimals
LESSON 6-2
Homework:
Lesson 6-1, pp , #s 4, 8, 16, 18-20, 24, 25, 29, 34
Lesson 6-2, pp , #s 4-28 (multiples of 4), 36
Scale Model Project due
Friday: Chapter 5 test (bring a metric ruler)
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