David measures a line to be 8.33 in long. If the actual measurement is 8 in, find David's relative error to the nearest thousandth. Answer:

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Understand relative error: Understand the concept of relative error. Relative error is the absolute error divided by the actual measurement, often expressed as a percentage or a decimal. The absolute error is the difference between the measured value and the actual value.Calculate absolute error: Calculate the absolute error. The absolute error is the difference between David's measurement and the actual measurement. Absolute error = |Measured Value - Actual Value| Absolute error = |8.33 in - 8 in| Absolute error = |0.33 in|Calculate relative error: Calculate the relative error. The relative error is the absolute error divided by the actual measurement. Relative error = Absolute error / Actual measurement Relative error = 0.33 in / 8 in Relative error = 0.04125Convert to nearest thousandth: Convert the relative error to the nearest thousandth. To express the relative error to the nearest thousandth, we round it to three decimal places. Relative error (to the nearest thousandth) = 0.041

David measures a line to be $8$ . $33$ in long. If the actual measurement is $8$ in, find David's relative error to the nearest thousandth. $\newline$ Answer:

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David measures a line to be $8$ . $33$ in long. If the actual measurement is $8$ in, find David's relative error to the nearest thousandth. $\newline$ Answer: