Riley measured a line to be 4.9 inches long. If the actual length of the line is 5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer: _________%
Q. Riley measured a line to be 4.9 inches long. If the actual length of the line is 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.In this problem, the measured value is 4.9 inches and the true value is 5 inches.
Calculate Absolute Difference: Calculate the absolute difference between the measured value and the true value.Absolute difference = ∣Measured Value−True Value∣=∣4.9−5∣=0.1 inches
Calculate Percent Error: Calculate the percent error using the formula.Percent Error = (Absolute difference/True Value)×100%Percent Error = (0.1/5)×100%
Perform Calculation: Perform the calculation to find the percent error. Percent Error = (50.1)×100%=0.02×100%=2%
Round Percent Error: Round the percent error to the nearest tenth of a percent. Since the percent error is already at a whole number, rounding to the nearest tenth of a percent does not change the value.