Question

Julia measured a line to be 16.1 inches long. if the actual length of the line is 16.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answer 1

Explanation:

The percent error is given by the formula:

percent error = |(measured value - actual value) / actual value| x 100%

Substituting the given values, we get:

percent error = |(16.1 - 16.3) / 16.3| x 100%

percent error = |-0.2 / 16.3| x 100%

percent error = 0.01227 x 100%

percent error ≈ 1.23%

Therefore, the percent error of the measurement, to the nearest tenth of a percent, is 1.2%.