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Percent of Change: Chapter 7.5

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Percent of Change: Chapter 7.5

Goals:

To find percent of increase and decrease.

To solve problems involving percent of change.

- Percent of change: an increase or decrease expressed at a percent.
- Percent of increase: the new number is greater than the original number.
- Percent of decrease: the new number is less than the original number.

difference in the amounts = % change

original amount 100

- original: 32
new: 40

- original: 20
new: 4

Increase

Decrease

- original: 450
new: 504

- original: 225
new: 243

Increase

Increase

- original: 36
new: 27

- original: 85
new: 119

Decrease

Increase

- original: 32
new: 40

- original: 20
new: 4

x

x

Difference

Difference

=

=

20

100

32

100

- original: 450
new: 504

- original: 225
new: 243

x

x

Difference

Difference

=

=

450

100

225

100

- original: 36
new: 27

- original: 85
new: 119

x

x

Difference

Difference

=

=

36

100

85

100

- original: 32
new: 40

- original: 20
new: 4

x

x

16

8

Difference

Difference

=

=

20

100

32

100

1600

=

20x

800

=

32x

20

20

32

32

X = 80%

X = 25% Increase

Decrease!

- original: 450
new: 504

- original: 225
new: 243

x

x

18

54

Difference

Difference

=

=

225

100

450

100

1800

=

225x

5400

=

450x

225

225

450

450

- original: 36
new: 27

- original: 85
new: 119

x

x

9

34

Difference

Difference

=

=

100

85

100

36

900

=

36x

3400

=

85x

36

36

85

85

- original: 72
new: 36

- original: 45
new: 50

50% Decrease

11.1% Increase

CHALLENGE:

In 1987, the United States had 2 million active-duty military personnel. By 2000, there were only 1.4 million active-duty military personnel. What was the percent of decrease?

30% Decrease