Carter measures a line to be 9.33cm long. If the actual measurement is 9cm, find Carter'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 = |9.33cm - 9cm| Absolute error = |0.33cm| Absolute error = 0.33cmCalculate relative error: Calculate the relative error. Relative error = (Absolute error / Actual Value) * 100 (to get a percentage) Relative error = (0.33cm / 9cm) * 100 Relative error = 0.036666... * 100 Relative error = 3.6666...%Round relative error: Round the relative error to the nearest hundredth. Relative error (rounded) = 3.67%

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Carter measures a line to be
9.33cm long. If the actual measurement is
9cm, find Carter's relative error to the nearest hundredth.
Answer:

Carter measures a line to be $9.33 \mathrm{~cm}$ long. If the actual measurement is $9 \mathrm{~cm}$ , find Carter's relative error to the nearest hundredth. $\newline$ Answer:

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Q. Carter measures a line to be

9.33 \mathrm{~cm}

long. If the actual measurement is

9 \mathrm{~cm}

, find Carter'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 = $|9.33\text{cm} - 9\text{cm}|$ $\newline$ Absolute error = $|0.33\text{cm}|$ $\newline$ Absolute error = $0.33\text{cm}$
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 = $(0.33\,\text{cm} / 9\,\text{cm}) \times 100$ $\newline$ Relative error = $0.036666... \times 100$ $\newline$ Relative error = $3.6666...\%$
Round relative error: Round the relative error to the nearest hundredth. $\newline$ Relative error (rounded) = $3.67\%$