David measures a line to be 4.48ft long. If the actual measurement is 4ft, find David's relative error to the nearest hundredth. Answer:

Calculate Absolute Error: To find the relative error, we need to calculate the absolute error and then divide it by the actual measurement. The absolute error is the difference between the measured value and the actual value. Calculation: Absolute error = |Measured value - Actual value| Absolute error = |4.48ft - 4ft| Absolute error = |0.48ft|Find Relative Error: Now that we have the absolute error, we can find the relative error by dividing the absolute error by the actual measurement. Calculation: Relative error = Absolute error / Actual measurement Relative error = 0.48ft / 4ft Relative error = 0.12Round to Nearest Hundredth: To express the relative error to the nearest hundredth, we need to round the result to two decimal places. Calculation: Rounded relative error = 0.12 (It is already at the hundredth place, so no further rounding is needed.)

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David measures a line to be
4.48ft long. If the actual measurement is
4ft, find David's relative error to the nearest hundredth.
Answer:

David measures a line to be $4.48 \mathrm{ft}$ long. If the actual measurement is $4 \mathrm{ft}$ , find David's relative error to the nearest hundredth. $\newline$ Answer:

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Q. David measures a line to be

4.48 \mathrm{ft}

long. If the actual measurement is

4 \mathrm{ft}

, find David's relative error to the nearest hundredth.

\newline

Answer:

Calculate Absolute Error: To find the relative error, we need to calculate the absolute error and then divide it by the actual measurement. The absolute error is the difference between the measured value and the actual value. $\newline$ Calculation: Absolute error = $|\text{Measured value} - \text{Actual value}|$ $\newline$ Absolute error = $|4.48\text{ft} - 4\text{ft}|$ $\newline$ Absolute error = $|0.48\text{ft}|$
Find Relative Error: Now that we have the absolute error, we can find the relative error by dividing the absolute error by the actual measurement. $\newline$ Calculation: Relative error = $\frac{\text{Absolute error}}{\text{Actual measurement}}$ $\newline$ Relative error = $\frac{0.48\,\text{ft}}{4\,\text{ft}}$ $\newline$ Relative error = $0.12$
Round to Nearest Hundredth: To express the relative error to the nearest hundredth, we need to round the result to two decimal places. $\newline$ Calculation: Rounded relative error = $0.12$ (It is already at the hundredth place, so no further rounding is needed.)