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What is the percent error for a measurement of 22 gallons?\newlineWrite your answer in simplest form.

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Q. What is the percent error for a measurement of 22 gallons?\newlineWrite your answer in simplest form.
  1. Find Error for 22 Gallons: Find the greatest possible error for 22 gallons.\newlineDivide the smallest unit of measurement by 22.\newlineSince the smallest unit is not specified, we will assume it is 11 pint (as pints are commonly used smaller units for gallons). There are 88 pints in a gallon, so the smallest unit for 22 gallons is 11 pint.\newline11 pint // 22 = 0.50.5 pint\newlineGreatest possible error: 0.50.5 pint
  2. Convert Error to Gallons: Convert the greatest possible error from pints to gallons.\newlineSince there are 88 pints in a gallon, we need to divide the error in pints by 88 to get the error in gallons.\newline0.50.5 pint // 88 = 0.06250.0625 gallon\newlineGreatest possible error in gallons: 0.06250.0625 gallon
  3. Calculate Percent Error: Calculate the percent error.\newlinePercent error = (Greatest possible errorMeasurement)×100%(\frac{\text{Greatest possible error}}{\text{Measurement}}) \times 100\%\newlinePercent error = (0.0625 gallon2 gallons)×100%(\frac{0.0625 \text{ gallon}}{2 \text{ gallons}}) \times 100\%\newlinePercent error = 0.03125×100%0.03125 \times 100\%\newlinePercent error = 3.125%3.125\%
  4. Round Percent Error: Round the percent error to the nearest hundredth of a percent.\newlineRounded percent error = 3.13%3.13\%

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