Alex measures a line to be 7.89cm long. If the actual measurement is 8cm, 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. Calculation: Absolute error = |Measured Value - Actual Value| = |7.89cm - 8cm| = | -0.11cm| = 0.11cmCalculate Relative Error: Now we need to calculate the relative error by dividing the absolute error by the actual value. Calculation: Relative error = Absolute error / Actual Value = 0.11cm / 8cm = 0.01375Round Relative Error: Finally, we round the relative error to the nearest thousandth. Calculation: Rounded relative error = 0.014 (to the nearest thousandth)

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Alex measures a line to be
7.89cm long. If the actual measurement is
8cm, find Alex's relative error to the nearest thousandth.
Answer:

Alex measures a line to be $7.89 \mathrm{~cm}$ long. If the actual measurement is $8 \mathrm{~cm}$ , 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

7.89 \mathrm{~cm}

long. If the actual measurement is

8 \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. $\newline$ Calculation: Absolute error = $|\text{Measured Value} - \text{Actual Value}| = |7.89\,\text{cm} - 8\,\text{cm}| = | -0.11\,\text{cm}| = 0.11\,\text{cm}$
Calculate Relative Error: Now we need to calculate the relative error by dividing the absolute error by the actual value. $\newline$ Calculation: Relative error = $\frac{\text{Absolute error}}{\text{Actual Value}} = \frac{0.11\,\text{cm}}{8\,\text{cm}} = 0.01375$
Round Relative Error: Finally, we round the relative error to the nearest thousandth. $\newline$ Calculation: Rounded relative error = $0.014$ (to the nearest thousandth)