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The number 35 is decreased to 32 . What is the percentage by which the number was decreased, to the nearest tenth of a percent? Answer:

The number 3535 is decreased to 3232 . What is the percentage by which the number was decreased, to the nearest tenth of a percent?\newlineAnswer:

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Q. The number 3535 is decreased to 3232 . What is the percentage by which the number was decreased, to the nearest tenth of a percent?\newlineAnswer:
  1. Identify Numbers: Identify the original number and the new number after the decrease.\newlineOriginal number: 3535\newlineNew number: 3232
  2. Calculate Absolute Decrease: Calculate the absolute decrease in the number.\newlineAbsolute decrease = Original number - New number\newlineAbsolute decrease = 35−3235 - 32\newlineAbsolute decrease = 33
  3. Calculate Percentage Decrease: Calculate the percentage decrease using the formula:\newlinePercentage decrease = (Absolute decrease/Original number)×100(\text{Absolute decrease} / \text{Original number}) \times 100\newlinePercentage decrease = (3/35)×100(3 / 35) \times 100
  4. Perform Division and Multiplication: Perform the division and multiplication to find the percentage decrease.\newlinePercentage decrease = (3/35)×100(3 / 35) \times 100\newlinePercentage decrease ≈0.0857×100\approx 0.0857 \times 100\newlinePercentage decrease ≈8.57\approx 8.57
  5. Round Percentage: Round the percentage decrease to the nearest tenth of a percent.\newlineRounded percentage decrease ≈8.6%\approx 8.6\%

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