Carter measures a line to be 5.17ft long. If the actual measurement is 5ft, find Carter's relative error to the nearest thousandth. 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 or in this case, to the nearest thousandth. 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 = |5.17ft - 5ft| Absolute error = |0.17ft|Calculate relative error: Calculate the relative error. Relative error = Absolute error / Actual Value Relative error = 0.17ft / 5ft Relative error = 0.034Round relative error: Round the relative error to the nearest thousandth. Relative error rounded to the nearest thousandth = 0.034 (It is already at the thousandth place, so no further rounding is needed.)

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Carter measures a line to be
5.17ft long. If the actual measurement is
5ft, find Carter's relative error to the nearest thousandth.
Answer:

Carter measures a line to be $5.17 \mathrm{ft}$ long. If the actual measurement is $5 \mathrm{ft}$ , find Carter's relative error to the nearest thousandth. $\newline$ Answer:

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Q. Carter measures a line to be

5.17 \mathrm{ft}

long. If the actual measurement is

5 \mathrm{ft}

, find Carter's relative error to the nearest thousandth.

\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 or in this case, to the nearest thousandth. 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 = $|5.17\text{ft} - 5\text{ft}|$ $\newline$ Absolute error = $|0.17\text{ft}|$
Calculate relative error: Calculate the relative error. $\newline$ Relative error = $\frac{\text{Absolute error}}{\text{Actual Value}}$ $\newline$ Relative error = $\frac{0.17\,\text{ft}}{5\,\text{ft}}$ $\newline$ Relative error = $0.034$
Round relative error: Round the relative error to the nearest thousandth. $\newline$ Relative error rounded to the nearest thousandth = $0.034$ (It is already at the thousandth place, so no further rounding is needed.)