Gabriel measured a line to be 16.1 inches long. If the actual length of the line is 16.5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: _______%
Q. Gabriel measured a line to be 16.1 inches long. If the actual length of the line is 16.5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: _______%
Understand Percent Error: Understand the concept of percent error. Percent error is a measure of how inaccurate a measurement is, compared to the true value. The formula for percent error is: Percent Error = (∣Measured Value−True Value∣/True Value)×100
Identify Values: Identify the measured value and the true value from the problem.Measured Value = 16.1 inchesTrue Value = 16.5 inches
Calculate Absolute Difference: Calculate the absolute difference between the measured value and the true value.Absolute Difference = ∣Measured Value−True Value∣Absolute Difference = ∣16.1−16.5∣Absolute Difference = ∣−0.4∣Absolute Difference = 0.4 inches
Calculate Percent Error: Calculate the percent error using the formula.Percent Error = (Absolute Difference/True Value)×100Percent Error = (0.4/16.5)×100
Perform Division and Multiplication: Perform the division and multiplication to find the percent error.Percent Error = (0.4/16.5)×100Percent Error ≈0.02424...×100Percent Error ≈2.424...
Round Percent Error: Round the percent error to the nearest tenth of a percent.Percent Error ≈2.4%