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The number 33 is decreased to 32 . What is the percentage by which the number was decreased, to the nearest tenth of a percent? Answer:

The number 3333 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 3333 is decreased to 3232 . What is the percentage by which the number was decreased, to the nearest tenth of a percent?\newlineAnswer:
  1. Determine amount decrease: Determine the amount of decrease.\newlineTo find the percentage decrease, we first need to determine the absolute decrease in value.\newlineDecrease = Original number - New number\newlineDecrease = 33−3233 - 32
  2. Calculate absolute decrease: Calculate the absolute decrease.\newlineNow we perform the subtraction to find the decrease.\newlineDecrease = 33−32=133 - 32 = 1
  3. Calculate percentage decrease: Calculate the percentage decrease.\newlineThe percentage decrease is calculated by dividing the absolute decrease by the original number and then multiplying by 100100 to convert it to a percentage.\newlinePercentage decrease = (Decrease/Original number)×100(\text{Decrease} / \text{Original number}) \times 100\newlinePercentage decrease = (1/33)×100(1 / 33) \times 100
  4. Perform division multiplication: Perform the division and multiplication to find the percentage decrease.\newlineNow we perform the division and multiplication to find the percentage decrease.\newlinePercentage decrease = (1/33)×100≈3.0303...(1 / 33) \times 100 \approx 3.0303...
  5. Round result: Round the result to the nearest tenth of a percent.\newlineTo round to the nearest tenth of a percent, we look at the hundredths place, which is 00 in this case, so we do not need to round up.\newlinePercentage decrease ≈3.0%\approx 3.0\%

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