Percentage Decrease Flashcards

GCSE Mathematics (Edexcel) 1MA1

Percentage decrease

The reduction in a value expressed as a percentage of the original value.

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Terms in this set (10)

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Percentage decrease

The reduction in a value expressed as a percentage of the original value.

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Formula for percentage decrease

(Original value - New value) ÷ Original value × 100.

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Steps to calculate percentage decrease

1. Subtract the new value from the original value. 2. Divide the result by the original value. 3. Multiply by 100.

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Percentage decrease example

If a price drops from £50 to £40, the percentage decrease is ((50 - 40) ÷ 50) × 100 = 20%.

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Interpreting percentage decrease

A percentage decrease shows how much smaller a value has become compared to its original size.

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Reverse percentage decrease

Finding the original value before a percentage decrease by dividing the new value by (1 - percentage decrease as a decimal).

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Reverse percentage decrease example

If a price after a 20% decrease is £80, the original price is £80 ÷ 0.8 = £100.

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Percentage decrease in context

Used in real-life scenarios such as discounts, sales, and reductions in measurements.

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Common mistake in percentage decrease

Forgetting to divide by the original value when calculating the percentage decrease.

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Percentage decrease vs percentage change

Percentage decrease specifically refers to a reduction, while percentage change can refer to both increases and decreases.

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