Nathaniel measured a line to be 12.2 inches long. If the actual length of the line is 10.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?Answer:______ %
Q. Nathaniel measured a line to be 12.2 inches long. If the actual length of the line is 10.2 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 from the problem.Measured Value = 12.2 inchesActual Value = 10.2 inches
Calculate Absolute Difference: Calculate the absolute difference between the measured value and the actual value.Absolute Difference = ∣Measured Value−Actual Value∣Absolute Difference = ∣12.2 inches−10.2 inches∣Absolute Difference = ∣2.0 inches∣
Calculate Percent Error: Calculate the percent error using the formula.Percent Error = (Absolute Difference/Actual Value)×100%Percent Error = (2.0 inches/10.2 inches)×100%Percent Error = 0.19607843137…×100%
Convert to Percentage: Convert the decimal to a percentage and round to the nearest tenth of a percent.Percent Error = 19.607843137…%Rounded Percent Error = 19.6%