Ashley measured a line to be 6.3 inches long. If the actual length of the line is 6.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: ________%
Q. Ashley measured a line to be 6.3 inches long. If the actual length of the line is 6.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: ________%
Understand percent error formula: Understand the percent error formula.Percent error is calculated using the formula: Percent Error = (∣Actual Value−Measured Value∣/Actual Value)×100%Here, the actual value is 6.4 inches, and the measured value is 6.3 inches.
Calculate absolute difference: Calculate the absolute difference between the actual value and the measured value.Absolute difference = ∣6.4−6.3∣=∣0.1∣=0.1 inches
Divide absolute difference: Divide the absolute difference by the actual value.Divide 0.1 inches by 6.4 inches to get the error in decimal form.0.1/6.4=0.015625
Convert decimal error to percentage: Convert the decimal error to a percentage.Multiply the decimal error by 100 to get the percent error.0.015625×100%=1.5625%
Round percent error: Round the percent error to the nearest tenth of a percent. Rounding 1.5625% to the nearest tenth of a percent gives us 1.6%.