jonathan measured a line to be 14.5 inches long. If the actual length of the line is 14.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Question

jonathan measured a line to be 14.5 inches long. If the actual length of the line is 14.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answer 1

The percent error can be calculated using the formula:

Percent Error = [(|Measured Value - Actual Value|) / Actual Value] * 100

Using the given values, we have:

Percent Error = [(|14.5 - 14.7|) / 14.7] * 100
= [0.2 / 14.7] * 100
≈ 0.01361 * 100
≈ 1.4

Therefore, the percent error of the measurement is approximately 1.4%. Answer: \boxed{1.4\%}.