Jocelyn measured a line to be 12.5 inches long. If the actual length of the line is 12.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: ________%
Q. Jocelyn measured a line to be 12.5 inches long. If the actual length of the line is 12.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: ________%
Understand formula for percent error: Understand the formula for percent error.The formula for percent error is: Percent Error = (∣Measured Value−Actual Value∣/Actual Value)×100%Here, the measured value is 12.5 inches, and the actual value is 12.4 inches.
Plug values into formula: Plug the values into the percent error formula.Percent Error = (∣12.5−12.4∣/12.4)×100%
Calculate absolute difference: Calculate the absolute difference between the measured value and the actual value.Absolute difference = ∣12.5−12.4∣=0.1 inch
Divide difference by actual value: Divide the absolute difference by the actual value.Division result=12.40.1
Perform division for decimal form: Perform the division to find the decimal form of the percent error.Division result=0.008064516129032258 (rounded to more decimal places for accuracy)
Convert decimal to percentage: Convert the decimal to a percentage.Percent Error = 0.008064516129032258×100%=0.8064516129032258%
Round percent error: Round the percent error to the nearest tenth of a percent.Rounded Percent Error = 0.8%