Math 7 · Unit 2, Lesson 5: Percent Increase and Decrease · Tile 2 of 3

Find the Percent Change

Always divide by where you started

Finn reads this

Percent change is the change compared with the original amount. Find the change, then ask what percent of the start it is.

A game drops in price

Finn reads this

A game drops from $50 to $35. The change is $50 minus $35, which is $15. Then: 15 out of 50. That is 0.30, which is 30 percent. The price went down, so it is a 30 percent decrease.

change: $50 − $35 = $151550 = 0.30 = 30% decrease

Divide by the original

Elle reads this

The rule, and the place people slip: always divide the change by the original amount, never by the new amount. $15 out of the original $50 is 30 percent. $15 out of the new $35 would be about 43 percent, and that is not what percent change means.

right: changeoriginal = 1550 = 30%wrong: 1535
ElleMath-speak

Percent change equals the change divided by the original amount, written as a percent.

FinnPlain English

Find how much it changed, then ask: what percent of the start is that?

An increase on the bar

Finn reads this

A plant grows from 40 centimeters to 50 centimeters. The change is 10. Ten out of 40 is one fourth, which is 25 percent. A 25 percent increase. On the bar, the new amount runs past the end of the original.

change: 50 − 40 = 101040 = 14 = 25% increase

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NC standards: NC.7.RP.3.

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