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This pdf includes the following topics:-

Percentage

Percents to Decimals

Percents to Fractions

Decimals to Percents

Fractions to Percents

Percent Sentences

Percentage

Percents to Decimals

Percents to Fractions

Decimals to Percents

Fractions to Percents

Percent Sentences

1.
3.2 Percents

1. Write a percent as a fraction or decimal number.

2. Write a fraction or decimal number as a percent.

3. Translate and solve percent sentences.

4. Solve problems involving percents.

1. Write a percent as a fraction or decimal number.

2. Write a fraction or decimal number as a percent.

3. Translate and solve percent sentences.

4. Solve problems involving percents.

2.
Ratio: A comparison of two quantities using a quotient (fraction).

a c

Proportion: Two ratios set equal.

b d

Cross Cross products are equal. ad bc

Percent: A ratio representing some part out of 100.

20% = 20 out of 100

20

100

1

or 0.2

5

a c

Proportion: Two ratios set equal.

b d

Cross Cross products are equal. ad bc

Percent: A ratio representing some part out of 100.

20% = 20 out of 100

20

100

1

or 0.2

5

3.
Percents to Decimals

Drop % and move decimal point 2 places to the left.

55% =.55

38% =.38

14.5% =.145

.25% =.0025

1

45 % 45.5% .455

2

Drop % and move decimal point 2 places to the left.

55% =.55

38% =.38

14.5% =.145

.25% =.0025

1

45 % 45.5% .455

2

4.
Percents to Fractions

Change to a decimal, then Read It, Write It, Reduce It

55 11

55% =.55

100

20

38 19

38% =.38

100 50

145 29

14.5% =.145

1000 200

25 1

.25% =.0025 10000

400

1 455 91

45 % 45.5% .455

2 1000 200

Change to a decimal, then Read It, Write It, Reduce It

55 11

55% =.55

100

20

38 19

38% =.38

100 50

145 29

14.5% =.145

1000 200

25 1

.25% =.0025 10000

400

1 455 91

45 % 45.5% .455

2 1000 200

5.
Decimals to Percents

Move the decimal point 2 places to the right and add %.

.55 = 55%

.38 = 38%

2.5 = 250%

.003 = .3%

Move the decimal point 2 places to the right and add %.

.55 = 55%

.38 = 38%

2.5 = 250%

.003 = .3%

6.
Fractions to Percents

Change to a decimal and then to a percent.

3

.75 75%

4

5

.625 62.5%

8

2

3 3.4 340%

5

Change to a decimal and then to a percent.

3

.75 75%

4

5

.625 62.5%

8

2

3 3.4 340%

5

7.
What is 7/8 as a percent?

a) 78%

b) 87%

c) 87.5%

d) 718%

3.2 Copyright © 2011 Pearson Education, Inc. Slide 1- 7

a) 78%

b) 87%

c) 87.5%

d) 718%

3.2 Copyright © 2011 Pearson Education, Inc. Slide 1- 7

8.
What is 7/8 as a percent?

a) 78%

b) 87%

c) 87.5%

d) 718%

3.2 Copyright © 2011 Pearson Education, Inc. Slide 1- 8

a) 78%

b) 87%

c) 87.5%

d) 718%

3.2 Copyright © 2011 Pearson Education, Inc. Slide 1- 8

9.
Percent Sentences

A percent of a whole is a part of the whole.

% multiply total = part

(follows “of”)

36% of 72 is what number?

.36 ∙ 72 = x

.36 (72) = x

25.92 = x

36% of 72 is 25.92.

A percent of a whole is a part of the whole.

% multiply total = part

(follows “of”)

36% of 72 is what number?

.36 ∙ 72 = x

.36 (72) = x

25.92 = x

36% of 72 is 25.92.

10.
Percent Sentences

A percent of a whole is a part of the whole.

% multiply total = part

42% of what number is 31.92?

.42 ∙ x = 31.92

.42 x = 31.92

x = 76

42% of 76 is 31.92.

A percent of a whole is a part of the whole.

% multiply total = part

42% of what number is 31.92?

.42 ∙ x = 31.92

.42 x = 31.92

x = 76

42% of 76 is 31.92.

11.
Percent Sentences

What percent of 63 is 56?

x ∙ 63 = 56

63 x = 56

x = .8888888…

x = 88.9%

88.9% of 63 is 56.

What percent of 63 is 56?

x ∙ 63 = 56

63 x = 56

x = .8888888…

x = 88.9%

88.9% of 63 is 56.

12.
2.4% of 130 is what number?

a) 31.2

b) 3.12

c) 1.83

d) 0.18

3.2 Copyright © 2011 Pearson Education, Inc. Slide 1- 12

a) 31.2

b) 3.12

c) 1.83

d) 0.18

3.2 Copyright © 2011 Pearson Education, Inc. Slide 1- 12

13.
2.4% of 130 is what number?

a) 31.2

b) 3.12

c) 1.83

d) 0.18

3.2 Copyright © 2011 Pearson Education, Inc. Slide 1- 13

a) 31.2

b) 3.12

c) 1.83

d) 0.18

3.2 Copyright © 2011 Pearson Education, Inc. Slide 1- 13

14.
What percent of 48 is 51.84?

a) 93%

b) 98%

c) 108%

d) 109%

3.2 Copyright © 2011 Pearson Education, Inc. Slide 1- 14

a) 93%

b) 98%

c) 108%

d) 109%

3.2 Copyright © 2011 Pearson Education, Inc. Slide 1- 14

15.
What percent of 48 is 51.84?

a) 93%

b) 98%

c) 108%

d) 109%

3.2 Copyright © 2011 Pearson Education, Inc. Slide 1- 15

a) 93%

b) 98%

c) 108%

d) 109%

3.2 Copyright © 2011 Pearson Education, Inc. Slide 1- 15

16.
Percent Sentences

On Monday, January 17, 2012, the Morning Sentinel

reported it planned to cut 100 full-time jobs in a bid

to return to profitability. This is 6% of the

newspaper’s workforce. How many employees does

the Sentinel have?

Percent: 6% = .06 Percent ∙ whole = part

Whole: x .06 x = 100

Part: 100 x = 1666.66666

x = 1667

Sentinel has 1,667 employees.

On Monday, January 17, 2012, the Morning Sentinel

reported it planned to cut 100 full-time jobs in a bid

to return to profitability. This is 6% of the

newspaper’s workforce. How many employees does

the Sentinel have?

Percent: 6% = .06 Percent ∙ whole = part

Whole: x .06 x = 100

Part: 100 x = 1666.66666

x = 1667

Sentinel has 1,667 employees.

17.
Percent Sentences

Jamal purchases a new surfboard that costs $570.

The sales tax is 7%, what is the total cost of the

surfboard?

Percent: 7% = .07 Percent ∙ whole = part

Whole: 570 .07(570) = x

Part: x x = 39.90

What did we find? Sales tax. 570.00

39.90

Total cost = cost plus tax. 609.90

Total cost is $609.90.

Jamal purchases a new surfboard that costs $570.

The sales tax is 7%, what is the total cost of the

surfboard?

Percent: 7% = .07 Percent ∙ whole = part

Whole: 570 .07(570) = x

Part: x x = 39.90

What did we find? Sales tax. 570.00

39.90

Total cost = cost plus tax. 609.90

Total cost is $609.90.