Q. 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:
Determine amount decrease: Determine the amount of decrease.To find the percentage decrease, we first need to determine the absolute decrease in value.Decrease = Original number - New numberDecrease = 33−32
Calculate absolute decrease: Calculate the absolute decrease.Now we perform the subtraction to find the decrease.Decrease = 33−32=1
Calculate percentage decrease: Calculate the percentage decrease.The percentage decrease is calculated by dividing the absolute decrease by the original number and then multiplying by 100 to convert it to a percentage.Percentage decrease = (Decrease/Original number)×100Percentage decrease = (1/33)×100
Perform division multiplication: Perform the division and multiplication to find the percentage decrease.Now we perform the division and multiplication to find the percentage decrease.Percentage decrease = (1/33)×100≈3.0303...
Round result: Round the result to the nearest tenth of a percent.To round to the nearest tenth of a percent, we look at the hundredths place, which is 0 in this case, so we do not need to round up.Percentage decrease ≈3.0%