6(a) Relative Error of Guitar Length

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10/23/2025

Problem

The length of a guitar is measured to be 115 cm, correct to the nearest 1 cm. Find the relative error of the measurement.

Solution

Hints:

0.00435

Maximum absolute error = \\frac{1}{2} = 0.5 \\text{ cm}. Relative error = \\frac{0.5}{115} = 0.0043478..., which is approximately 0.00435 (to 3 significant figures).

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relative error

measurement