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Chase measured a line to be 2.8 inches long. If the actual length of the line is 2.9 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer: 
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Chase measured a line to be 22.88 inches long. If the actual length of the line is 22.99 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer:_______ % \%

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Q. Chase measured a line to be 22.88 inches long. If the actual length of the line is 22.99 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer:_______ % \%
  1. Understand formula: Understand the percent error formula.\newlinePercent error is calculated using the formula: \newlinePercent Error = (ActualValueMeasuredValue/ActualValue)×100(|Actual Value - Measured Value| / Actual Value) \times 100\newlineHere, the actual value is 2.92.9 inches, and the measured value is 2.82.8 inches.
  2. Plug in values: Plug in the values into the percent error formula.\newlinePercent Error = (2.92.8/2.9)×100(|2.9 - 2.8| / 2.9) \times 100
  3. Calculate absolute difference: Calculate the absolute difference between the actual value and the measured value.\newlineAbsolute difference = 2.92.8=0.1|2.9 - 2.8| = 0.1 inches
  4. Divide absolute difference: Divide the absolute difference by the actual value. Division result = 0.12.9\frac{0.1}{2.9}
  5. Perform division: Perform the division to find the decimal form of the percent error. Division result = 0.0344827586206896550.034482758620689655 (This is a repeating decimal, but we will round it later.)
  6. Convert to percentage: Convert the decimal to a percentage.\newlinePercent Error = 0.034482758620689655×1000.034482758620689655 \times 100
  7. Calculate percent error: Calculate the percent error as a percentage.\newlinePercent Error = 3.4482758620689655%3.4482758620689655\%
  8. Round to nearest tenth: Round the percent error to the nearest tenth of a percent.\newlineRounded Percent Error = 3.4%3.4\%

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