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What is the result when the number 58 is decreased by
7.5% ? Round your answer to the nearest tenth.
Answer:

What is the result when the number $58$ is decreased by $7.5 \%$ ? Round your answer to the nearest tenth. $\newline$ Answer:

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Percents of numbers: fractional and decimal percents

Full solution

Q. What is the result when the number

58

is decreased by

7.5 \%

? Round your answer to the nearest tenth.

\newline

Answer:

Understand the problem: Understand the problem. $\newline$ We need to calculate the value of $58$ after it has been decreased by $7.5\%$ . This means we need to find $7.5\%$ of $58$ and then subtract that value from $58$ .
Calculate $7.5\%$ of $58$ : Calculate $7.5\%$ of $58$ . $\newline$ To find $7.5\%$ of $58$ , we convert the percentage to a decimal by dividing by $100$ and then multiply by $58$ . $\newline$ $7.5\% = \frac{7.5}{100} = 0.075$ $\newline$ $0.075 \times 58 = 4.35$
Subtract calculated value: Subtract the calculated value from the original number. $\newline$ Now we subtract $4.35$ from $58$ to find the decreased value. $\newline$ $58 - 4.35 = 53.65$
Round the result: Round the result to the nearest tenth. Rounding $53.65$ to the nearest tenth gives us $53.7$ .

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