Percent Increase and Percent Decrease

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What is Percent Increase?

Back

Percent Increase is a way to express how much a quantity has grown compared to its original amount, calculated as: \( \text{Percent Increase} = \frac{\text{New Amount} - \text{Original Amount}}{\text{Original Amount}} \times 100 \% \)

Front

What is Percent Decrease?

Back

Percent Decrease is a way to express how much a quantity has shrunk compared to its original amount, calculated as: \( \text{Percent Decrease} = \frac{\text{Original Amount} - \text{New Amount}}{\text{Original Amount}} \times 100 \% \)

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How do you calculate a 25% increase on 52?

Back

To calculate a 25% increase on 52: \( 52 + (0.25 \times 52) = 52 + 13 = 65 \)

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How do you calculate a 15% decrease on $178?

Back

To calculate a 15% decrease on $178: \( 178 - (0.15 \times 178) = 178 - 26.7 = 151.30 \)

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What is the formula to find the new amount after a percent increase?

Back

The formula is: \( \text{New Amount} = \text{Original Amount} + (\text{Percent Increase} \times \text{Original Amount}) \)

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What is the formula to find the new amount after a percent decrease?

Back

The formula is: \( \text{New Amount} = \text{Original Amount} - (\text{Percent Decrease} \times \text{Original Amount}) \)

Front

If you have 710 points and increase it by 10%, what is the new amount?

Back

New amount: \( 710 + (0.10 \times 710) = 710 + 71 = 781 \)

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How do you find 20% of $20 for a tip?

Back

To find 20% of $20: \( 0.20 \times 20 = 4 \) so the tip is $4.

Front

What does a tape diagram represent in terms of percent increase?

Back

A tape diagram visually represents the original amount and the increase, helping to understand the relationship between the two quantities.

Front

What is the relationship between percent increase and percent decrease?

Back

Percent increase shows growth from the original amount, while percent decrease shows reduction from the original amount.