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Percents Estimating a tip without a ceafculator Estimate a \( 5 \% \) tip on a bill of \( \$ 83.71 \) by first rounding the bill amount to the nearest ten dollars.

Ask by Chambers Stanley. in the United States
Feb 27,2025

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To estimate a \( 5\% \) tip on a bill of \( \$83.71 \), round the bill to the nearest ten dollars (\$80) and calculate \( 5\% \) of \$80, which is \$4.

Solution

To estimate a \( 5\% \) tip on a bill of \( \$ 83.71 \), we can follow these steps: 1. **Round the bill amount to the nearest ten dollars**: - The bill amount is \( \$ 83.71 \). - Rounding \( 83.71 \) to the nearest ten dollars gives us \( 80 \) (since \( 83.71 \) is closer to \( 80 \) than to \( 90 \)). 2. **Calculate \( 5\% \) of the rounded amount**: - To find \( 5\% \) of \( 80 \), we can use the formula: \[ \text{Tip} = \frac{5}{100} \times \text{Rounded Amount} \] - Substituting the rounded amount: \[ \text{Tip} = \frac{5}{100} \times 80 \] Now, let's calculate this value. \[ \text{Tip} = 0.05 \times 80 = 4 \] Thus, the estimated \( 5\% \) tip on a bill of \( \$ 83.71 \) is approximately \( \$ 4 \).

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To estimate a \( 5 \% \) tip, you can round \( \$ 83.71 \) to the nearest ten dollars, which would be \( \$ 80 \). Now, calculating \( 5 \% \) is easy: \( 5 \% \) of \( 80 \) is simply \( 4 \) (because \( 5 \% \) of any number is the same as multiplying that number by \( 0.05 \)). So, the estimated tip would be about \( \$ 4 \), making your total roughly \( \$ 84 \). But wait, you can also visualize it this way! Picture your bill at a restaurant: rounding \( 83.71 \) down to \( 80 \) helps simplify your math. When you think of \( 5 \% \) as half of \( 10 \% \), and \( 10 \% \) of \( 80 \) is \( 8 \), then half of that—your \( 5 \% \) tip—is \( 4 \)! It’s a quick mental math hack that can save you in a pinch, ensuring you leave a fair tip without a calculator.

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