Ella measured a line to be 5.7 inches long. If the actual length of the line is 5.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer:________ %
Q. Ella measured a line to be 5.7 inches long. If the actual length of the line is 5.6 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 = (∣Measured Value−Actual Value∣/Actual Value)×100%Here, the measured value is 5.7 inches, and the actual value is 5.6 inches.
Plug values into formula: Plug the values into the percent error formula.Percent Error = (∣5.7−5.6∣/5.6)×100%
Calculate absolute difference: Calculate the absolute difference between the measured value and the actual value.Absolute difference = ∣5.7−5.6∣=0.1 inches
Divide absolute difference by actual value: Divide the absolute difference by the actual value. Division result = 5.60.1
Perform division for decimal form: Perform the division to find the decimal form of the percent error. Division result = 0.0178571428571429 (rounded to 15 decimal places for accuracy)
Convert decimal to percentage: Convert the decimal to a percentage by multiplying by 100. Percent Error = 0.0178571428571429×100%
Calculate percent error: Calculate the percent error as a percentage.Percent Error = 1.78571428571429%
Round percent error: Round the percent error to the nearest tenth of a percent.Rounded Percent Error = 1.8%