Aubrey measured a line to be 16.8 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. Aubrey measured a line to be 16.8 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, represented as a percentage of the actual value. The formula for percent error is: Percent Error = (∣Measured Value−Actual Value∣/Actual Value)×100%
Identify Values: Identify the measured value and the actual value.In this problem, the measured value is 16.8 inches, and the actual value is 16.5 inches.
Calculate Absolute Difference: Calculate the absolute difference between the measured value and the actual value.Absolute difference = ∣Measured Value−Actual Value∣Absolute difference = ∣16.8−16.5∣Absolute difference = 0.3 inches
Calculate Percent Error: Calculate the percent error using the formula.Percent Error = (Absolute difference/Actual Value)×100%Percent Error = (0.3/16.5)×100%
Perform Division and Multiplication: Perform the division and multiplication to find the percent error.Percent Error = (0.3/16.5)×100%Percent Error ≈0.0181818...×100%Percent Error ≈1.81818...
Round Percent Error: Round the percent error to the nearest tenth of a percent.Percent Error ≈1.8%