Percent of Change: Chapter 7.5
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Transcript of 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.
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Vocabulary
• 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.
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Percent of Change Formula
difference in the amounts = % change original amount 100
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Identify if it’s an increase or decrease!
1. original: 32 new: 40
2. original: 20 new: 4
Increase Decrease
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Identify if it’s an increase or decrease!
1. original: 450 new: 504
2. original: 225 new: 243
Increase Increase
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Identify if it’s an increase or decrease!
1. original: 36 new: 27
2. original: 85 new: 119
Decrease Increase
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Identify if it’s an increase or decrease!
1. original: 32 new: 40
2. original: 20 new: 4
=100
xDifference
32=
100
xDifference
20
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Identify if it’s an increase or decrease!
1. original: 450 new: 504
2. original: 225 new: 243
=100
xDifference
450=
100
xDifference
225
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Identify if it’s an increase or decrease!
1. original: 36 new: 27
2. original: 85 new: 119
=100
xDifference
36=
100
xDifference
85
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Identify if it’s an increase or decrease!
1. original: 32 new: 40
2. original: 20 new: 4
=100
xDifference
32
8
800 = 32x
32 32
X = 25% Increase
=100
xDifference
20
16
1600 = 20x
20 20
X = 80%
Decrease!
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Identify if it’s an increase or decrease!
1. original: 450 new: 504
2. original: 225 new: 243
=100
xDifference
450
54
5400 = 450x
450 450
=100
xDifference
225
18
1800 = 225x
225 225
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Identify if it’s an increase or decrease!
1. original: 36 new: 27
2. original: 85 new: 119
=100
xDifference
36
9
900 = 36x
36 36
=100
xDifference
85
34
3400 = 85x
85 85
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On Your Own
3. original: 72 new: 36
4. original: 45 new: 50
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?
50% Decrease 11.1% Increase
30% Decrease