Xavier measured a line to be 15.2 inches long. If the actual length of the line is 14.9 inches, then what was the percent error of the measurement, to the nearest tenth of a percent? Answer: %

Question

Xavier measured a line to be 15.2 inches long. If the actual length of the line is 14.9 inches, then what was the percent error of the measurement, to the nearest tenth of a percent? Answer:  %

Bytelearn · Accepted Answer

Understand formula for percent error: Understand the formula for percent error. The formula for percent error is:  Percent Error = (|Measured Value - Actual Value| / Actual Value) × 100% Here, the measured value is 15.2 inches, and the actual value is 14.9 inches.Plug values into formula: Plug the values into the percent error formula. Percent Error = (|15.2 - 14.9| / 14.9) × 100%Calculate absolute difference: Calculate the absolute difference between the measured value and the actual value. Absolute difference = |15.2 - 14.9| = 0.3 inchesDivide difference by actual value: Divide the absolute difference by the actual value. Division result = 0.3 / 14.9Perform division for decimal form: Perform the division to find the decimal form of the percent error. Division result = 0.020134228Convert decimal to percentage: Convert the decimal to a percentage. Percent Error = 0.020134228 × 100% = 2.0134228%Round percent error: Round the percent error to the nearest tenth of a percent. Rounded Percent Error = 2.0%

Xavier measured a line to be $15$ . $2$ inches long. If the actual length of the line is $14$ . $9$ inches, then what was the percent error of the measurement, to the nearest tenth of a percent? $\newline$ Answer:________ $\%$

Full solution

More problems from Percent error: word problems

Related topics

Xavier measured a line to be 151515.222 inches long. If the actual length of the line is 141414.999 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?\newlineAnswer:________ % \% %

Xavier measured a line to be $15$ . $2$ inches long. If the actual length of the line is $14$ . $9$ inches, then what was the percent error of the measurement, to the nearest tenth of a percent? $\newline$ Answer:________ $\%$