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What is the percent error for a measurement of 5milligrams5\,\text{milligrams}?\newlineIf needed, round your answer to the nearest hundredth of a percent.\newline\newline___%\_\_\_\%

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Q. What is the percent error for a measurement of 5milligrams5\,\text{milligrams}?\newlineIf needed, round your answer to the nearest hundredth of a percent.\newline\newline___%\_\_\_\%
  1. Find Error Range: Find the greatest possible error for 55 milligrams.\newlineDivide the smallest unit of measurement by 22.\newlineSince the problem does not specify the smallest unit of measurement, we will assume it is 11 milligram, which is a common smallest unit for such measurements.\newline12=0.5\frac{1}{2} = 0.5\newlineGreatest possible error: 0.50.5 milligrams
  2. Divide Smallest Unit: Calculate the percent error.\newlineWe have: \newlineMeasurement: 55 milligrams \newlineGreatest possible error: 0.50.5 milligrams \newlinePercent error = (Greatest possible error/Measurement)×100%(\text{Greatest possible error} / \text{Measurement}) \times 100\%\newlinePercent error = (0.5/5)×100%(0.5 / 5) \times 100\%\newline= 0.1×100%0.1 \times 100\%\newline= 10%10\%

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