Lily measured a line to be 2.7 inches long. If the actual length of the line is 2.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: ________%
Q. Lily measured a line to be 2.7 inches long. If the actual length of the line is 2.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: ________%
Understand formula: Understand the percent error formula.Percent error is calculated using the formula: Percent Error = (∣Measured Value−Actual Value∣/Actual Value)×100%Here, the measured value is 2.7 inches, and the actual value is 2.6 inches.
Plug in values: Plug in the values into the percent error formula.Percent Error = (∣2.7−2.6∣/2.6)×100%
Calculate absolute difference: Calculate the absolute difference between the measured value and the actual value.∣2.7−2.6∣=0.1 inches
Divide by actual value: Divide the absolute difference by the actual value.2.60.1=0.03846153846 (This is the decimal form of the percent error.)
Convert to percentage: Convert the decimal to a percentage. 0.03846153846×100%=3.846153846%
Round to nearest tenth: Round the percent error to the nearest tenth of a percent. 3.846153846% rounds to 3.8%