Bob measures a line to be 8.4ft long. If the actual measurement is 8ft, find Bob's relative error to the nearest thousandth. Answer:

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Bob measures a line to be  8.4ft long. If the actual measurement is  8ft, find Bob's relative error to the nearest thousandth. Answer:

Bytelearn · Accepted Answer

Understand relative error: Understand the concept of relative error. Relative error is the absolute value of the difference between the measured value and the actual value, divided by the actual value. It is often expressed as a percentage or a decimal.Calculate absolute error: Calculate the absolute error. The absolute error is the difference between the measured value and the actual value. Absolute error = |Measured Value - Actual Value| Absolute error = |8.4ft - 8ft| Absolute error = |0.4ft|Calculate relative error: Calculate the relative error. Relative error = (Absolute Error / Actual Value) Relative error = (0.4ft / 8ft) Relative error = 0.05Convert to nearest thousandth: Convert the relative error to the nearest thousandth. To express the relative error to the nearest thousandth, we keep three decimal places. Relative error = 0.050Check for correct expression: Check if the relative error is expressed correctly. The relative error is 0.050, which is correctly rounded to the nearest thousandth.

Bob measures a line to be $8.4 \mathrm{ft}$ long. If the actual measurement is $8 \mathrm{ft}$ , find Bob's relative error to the nearest thousandth. $\newline$ Answer:

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Bob measures a line to be $8.4 \mathrm{ft}$ long. If the actual measurement is $8 \mathrm{ft}$ , find Bob's relative error to the nearest thousandth. $\newline$ Answer: