Alex measures a line to be 4.25cm long. If the actual measurement is 4cm, find Alex's relative error to the nearest thousandth. Answer:

Calculate Absolute Error: To find the relative error, we need to calculate the absolute error and then divide it by the actual value. The absolute error is the difference between the measured value and the actual value. Absolute error = |Measured Value - Actual Value|Find Absolute Error: Now we plug in the values to calculate the absolute error. Absolute error = |4.25cm - 4cm| = |0.25cm|Calculate Relative Error: The absolute error is 0.25cm. Now we need to find the relative error by dividing the absolute error by the actual value. Relative error = Absolute error / Actual valueFind Relative Error: We plug in the values to calculate the relative error. Relative error = 0.25cm / 4cm = 0.0625Round Relative Error: To express the relative error to the nearest thousandth, we round the value to three decimal places. Relative error (rounded) = 0.063

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Alex measures a line to be
4.25cm long. If the actual measurement is
4cm, find Alex's relative error to the nearest thousandth.
Answer:

Alex measures a line to be $4.25 \mathrm{~cm}$ long. If the actual measurement is $4 \mathrm{~cm}$ , find Alex's relative error to the nearest thousandth. $\newline$ Answer:

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Math Problems

Grade 7

Percent error: word problems

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Q. Alex measures a line to be

4.25 \mathrm{~cm}

long. If the actual measurement is

4 \mathrm{~cm}

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

\newline

Answer:

Calculate Absolute Error: To find the relative error, we need to calculate the absolute error and then divide it by the actual value. The absolute error is the difference between the measured value and the actual value. $\newline$ Absolute error = $\lvert\text{Measured Value} - \text{Actual Value}\rvert$
Find Absolute Error: Now we plug in the values to calculate the absolute error. Absolute error = $|4.25\,\text{cm} - 4\,\text{cm}| = |0.25\,\text{cm}|$
Calculate Relative Error: The absolute error is $0.25\,\text{cm}$ . Now we need to find the relative error by dividing the absolute error by the actual value. $\newline$ Relative error = $\frac{\text{Absolute error}}{\text{Actual value}}$
Find Relative Error: We plug in the values to calculate the relative error. Relative error = $\frac{0.25\,\text{cm}}{4\,\text{cm}} = 0.0625$
Round Relative Error: To express the relative error to the nearest thousandth, we round the value to three decimal places. $\newline$ Relative error (rounded) = $0.063$