Explanation Given Information: The measurements are 13.5 cm and 8 3 4 in . Consider the first measurement, 13.5 cm Since the position of the last significant digit is in the tenth place. Therefore, the precision of the measurement 13.5 cm is 0.1 cm. Since the greatest possible error is one-half the precision. Therefore, the greatest possible error of the measurement 13.5 cm is: 1 2 × 0.1 cm = 0.05 cm Hence, the greatest possible error of the measurement 13.5 cm is 0.05 cm. Since the relative error is the ratio of greatest possible error and the measurement. Therefore, the relative error of the measurement 13.5 cm is: Relative Error = Greatest Possible Error Measurement = 0.05 cm 13.5 cm = 0.0037 Hence, the relative error of the measurement 13.5 cm is 0.0037. Since the percent of error of is equal to the relative error expressed as a percent. Therefore, the percent of error of the measurement 13.5 cm is: Percent of Error = 0.0037 × 100 = 0.37 % Hence, the percent of error of the measurement 13.5 cm is 0.37%. Now, consider the second measurement, 8 3 4 in . Since the smallest unit is 1 4 in . Therefore, the precision of the measurement 8 3 4 in . is 1 4 in . Since the greatest possible error is one-half the precision. Therefore, the greatest possible error of the measurement 8 3 4 in . is: 1 2 × 1 4 in

12th Edition

ISBN: 9781337630580

Author: Dale Ewen

Publisher: Cengage Learning

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Chapter 4.7, Problem 19E

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The comparison between the measurements 13.5 cm and 834 in. by indicating which measurement is better or best.

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Chapter 4.7, Problem 18E

Chapter 4.7, Problem 20E

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The comparison between the measurements 13.5 cm and 8 3 4 in . by indicating which measurement is better or best.

Solution Summary: The author compares the precision of the measurements 13.5 cm and 834

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The comparison between the measurements 13.5 cm and 834 in. by indicating which measurement is better or best.

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