Kayden measured a line to be 18.1 inches long. If the actual length of the line is 19.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: ______%
Q. Kayden measured a line to be 18.1 inches long. If the actual length of the line is 19.2 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)×100Here, the Actual Value is the true length of the line, and the Measured Value is the length Kayden measured.
Plug in given values: Plug in the given values into the percent error formula.Actual Value = 19.2 inchesMeasured Value = 18.1 inchesPercent Error = (∣19.2−18.1∣/19.2)×100
Calculate absolute difference: Calculate the absolute difference between the Actual Value and the Measured Value.Absolute difference = ∣19.2−18.1∣=∣1.1∣=1.1
Divide by Actual Value: Divide the absolute difference by the Actual Value.Division result = 19.21.1
Perform division for decimal form: Perform the division to find the decimal form of the percent error.Division result=19.21.1≈0.0572916667
Convert decimal to percentage: Convert the decimal to a percentage by multiplying by 100. Percent Error = 0.0572916667×100≈5.72916667%
Round to nearest tenth: Round the percent error to the nearest tenth of a percent.Rounded Percent Error = 5.7%