Alex measures a line to be 6.68ft long. If the actual measurement is 7ft, find Alex's relative error to the nearest hundredth. Answer:

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. The absolute error is the difference between the measured value and the actual value.Calculate absolute error: Calculate the absolute error. Absolute error = |Measured Value - Actual Value| Absolute error = |6.68ft - 7ft| Absolute error = |-0.32ft| Absolute error = 0.32ftCalculate relative error: Calculate the relative error. Relative error = (Absolute error / Actual Value) * 100 (to get a percentage) Relative error = (0.32ft / 7ft) * 100 Relative error = 0.04571428571 * 100 Relative error = 4.571428571%Round relative error: Round the relative error to the nearest hundredth. Relative error (rounded) = 4.57%

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Alex measures a line to be
6.68ft long. If the actual measurement is
7ft, find Alex's relative error to the nearest hundredth.
Answer:

Alex measures a line to be $6.68 \mathrm{ft}$ long. If the actual measurement is $7 \mathrm{ft}$ , find Alex's relative error to the nearest hundredth. $\newline$ Answer:

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Q. Alex measures a line to be

6.68 \mathrm{ft}

long. If the actual measurement is

7 \mathrm{ft}

, find Alex's relative error to the nearest hundredth.

\newline

Answer:

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. The absolute error is the difference between the measured value and the actual value.
Calculate absolute error: Calculate the absolute error. $\newline$ Absolute error = $|\text{Measured Value} - \text{Actual Value}|$ $\newline$ Absolute error = $|6.68\text{ft} - 7\text{ft}|$ $\newline$ Absolute error = $|-0.32\text{ft}|$ $\newline$ Absolute error = $0.32\text{ft}$
Calculate relative error: Calculate the relative error. $\newline$ Relative error = $(\text{Absolute error} / \text{Actual Value}) \times 100$ (to get a percentage) $\newline$ Relative error = $(0.32\,\text{ft} / 7\,\text{ft}) \times 100$ $\newline$ Relative error = $0.04571428571 \times 100$ $\newline$ Relative error = $4.571428571\%$
Round relative error: Round the relative error to the nearest hundredth. $\newline$ Relative error (rounded) = $4.57\%$