Aiden measured a line to be 4.1 inches long. If the actual length of the line is 5.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent
To find the percent error, we use the formula:
Percent Error = (|Measured Value - Actual Value| / Actual Value) x 100
Plugging in the given values, we have:
Percent Error = (|4.1 - 5.3| / 5.3) x 100
Percent Error = (|-1.2| / 5.3) x 100
Percent Error = (1.2 / 5.3) x 100
Percent Error = 0.22642 x 100
Percent Error ≈ 22.6
To the nearest tenth of a percent, the percent error is 22.6%.