Juan measured a line to be 13.8 inches long. If the actual length of the line is 11.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

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Mathematics

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Juan measured a line to be 13.8 inches long. If the actual length of the line is 11.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

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Lilly Klein · Answer 1

The error in the measurement was 17.9 %

Step-by-step explanation:

In order to calculate the percentage error we need to find the absolute value of the error, wich is the difference between what Juan measured and the real length of the line. So we have error = 13.8 - 11.7 = 2.1 inches. In order to find the percentage we need to divide this value by the real length of the line and multiply it by 100. So we have:

error (%) = (2.1/11.7) * 100 = 17.9 %