Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Ava measured a line to be 8.7 inches long. If the actual length of the line is 9.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer: 
%

Ava measured a line to be 88.77 inches long. If the actual length of the line is 99.44 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer:__________ % \%

Full solution

Q. Ava measured a line to be 88.77 inches long. If the actual length of the line is 99.44 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer:__________ % \%
  1. Understand Percent Error: Understand the concept of percent error. Percent error is a measure of how inaccurate a measurement is, represented as a percentage of the actual value. The formula for percent error is: Percent Error = (Actual ValueMeasured Value/Actual Value)×100(|\text{Actual Value} - \text{Measured Value}| / \text{Actual Value}) \times 100
  2. Identify Values: Identify the Actual Value and the Measured Value.\newlineIn this problem, the Actual Value is 9.49.4 inches, and the Measured Value is 8.78.7 inches.
  3. Calculate Absolute Difference: Calculate the absolute difference between the Actual Value and the Measured Value.\newlineAbsolute Difference = Actual ValueMeasured Value|\text{Actual Value} - \text{Measured Value}| = 9.48.7|9.4 - 8.7| = 0.70.7 inches
  4. Plug into Formula: Plug the Absolute Difference and the Actual Value into the percent error formula.\newlinePercent Error = (0.7/9.4)×100(0.7 / 9.4) \times 100
  5. Perform Division and Multiplication: Perform the division and multiplication to find the percent error.\newlinePercent Error = (0.7/9.4)×1007.4468...(0.7 / 9.4) \times 100 \approx 7.4468...
  6. Round Percent Error: Round the percent error to the nearest tenth of a percent. Percent Error 7.4%\approx 7.4\%

More problems from Percent error: word problems