Alex measures a line to be 7.72 in long. If the actual measurement is 8 in, find Alex's relative error to the nearest hundredth. Answer:

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Understand relative error: Understand the concept of relative error. Relative error is the absolute value of the difference between the measured value and the actual value, divided by the actual value. It is often expressed as a percentage.Calculate absolute error: Calculate the absolute error, which is the difference between the actual measurement and Alex's measurement. Absolute error = |Actual measurement - Alex's measurement| Absolute error = |8 - 7.72| Absolute error = |0.28| Absolute error = 0.28Calculate relative error: Calculate the relative error by dividing the absolute error by the actual measurement. Relative error = Absolute error / Actual measurement Relative error = 0.28 / 8 Relative error = 0.035Convert to percentage: Convert the relative error to a percentage and round to the nearest hundredth. Relative error (percentage) = Relative error * 100 Relative error (percentage) = 0.035 * 100 Relative error (percentage) = 3.5% Since we want the relative error to the nearest hundredth, we do not need to round further as it is already at the hundredth place.

Alex measures a line to be $7$ . $72$ in long. If the actual measurement is $8$ in, find Alex's relative error to the nearest hundredth. $\newline$ Answer:

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Alex measures a line to be $7$ . $72$ in long. If the actual measurement is $8$ in, find Alex's relative error to the nearest hundredth. $\newline$ Answer: