Carter measures a line to be 9.44ft long. If the actual measurement is 9ft, 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 a decimal. 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 = |9.44ft - 9ft| Absolute error = |0.44ft| Absolute error = 0.44ftCalculate relative error: Calculate the relative error. Relative error = (Absolute Error / Actual Value) Relative error = (0.44ft / 9ft) Relative error ≈ 0.04888888888888889Round relative error: Round the relative error to the nearest thousandth. Relative error ≈ 0.049 (rounded to the nearest thousandth)

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Carter measures a line to be
9.44ft long. If the actual measurement is
9ft, find Carter's relative error to the nearest thousandth.
Answer:

Carter measures a line to be $9.44 \mathrm{ft}$ long. If the actual measurement is $9 \mathrm{ft}$ , find Carter's relative error to the nearest thousandth. $\newline$ Answer:

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Grade 7

Percent error: word problems

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Q. Carter measures a line to be

9.44 \mathrm{ft}

long. If the actual measurement is

9 \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 a decimal. 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 = $|9.44\text{ft} - 9\text{ft}|$ $\newline$ Absolute error = $|0.44\text{ft}|$ $\newline$ Absolute error = $0.44\text{ft}$
Calculate relative error: Calculate the relative error. $\newline$ Relative error = $\frac{\text{Absolute Error}}{\text{Actual Value}}$ $\newline$ Relative error = $\frac{0.44\,\text{ft}}{9\,\text{ft}}$ $\newline$ Relative error \approx $0$ . $04888888888888889$
Round relative error: Round the relative error to the nearest thousandth. $\newline$ Relative error $\approx 0.049$ (rounded to the nearest thousandth)