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John's sister went shopping with him. She expected to spend $100 on clothes, but spent only $10. John wanted to help her calculate the percent error, but he thinks he may have made a mistake. Are his calculations below correct? Why or why not? Ratio = |$100 − $10| $90 = 10 90 ≈ 11%

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The calculation made isn't correct, because, the denominator should be the actual amount spent which is $10 and not $90

We can state the percentage error formula thus :

(|Expected - Actual| ÷ Actual) × 100%

This means that the percentage error expression should be written thus :

( |$100 − $10| ÷ $10) × 100%

(90 / 10) × 100% = 900%

Therefore, the calculation written above is incorrect.

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