Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the percent error for a measurement of 55 meters?\newlineIf needed, round your answer to the nearest hundredth of a percent.\newline\newline___%\_\_\_\%

Full solution

Q. What is the percent error for a measurement of 55 meters?\newlineIf needed, round your answer to the nearest hundredth of a percent.\newline\newline___%\_\_\_\%
  1. Find Error: Find the greatest possible error for 55 meters.\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 meter for the purpose of this calculation.\newline12=0.5\frac{1}{2} = 0.5\newlineGreatest possible error: 0.50.5 meters
  2. Calculate Percent: Calculate the percent error.\newlineWe have: \newlineMeasurement: 55 meters \newlineGreatest possible error: 0.50.5 meters \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\%
  3. Perform Calculation: Perform the calculation.\newlinePercent error = 0.1×100%0.1 \times 100\%\newlinePercent error = 10%10\%
  4. Round Answer: Round the answer to the nearest hundredth of a percent if necessary.\newlineSince the percent error is already at a whole number, no rounding is necessary.\newlineFinal percent error = 10%10\%

More problems from Percent error