Question

Naomi measured a line to be 5.5 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

Answer 1

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Answer 2

Explanation:

The percent error is given by the formula:

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

where | | represents the absolute value.

Substituting the given values, we get:

percent error = (|5.5 - 5.3| / 5.3) x 100%

percent error = (0.2 / 5.3) x 100%

percent error = 0.0377 x 100%

percent error = 3.77%

Therefore, the percent error of the measurement is approximately 3.8% (rounded to the nearest tenth of a percent).