Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 4 - Section 4.7 - Relative Error and Percent of Error - Exercise - Page 191: 15

Answer

$ \frac{1}{8}\ in, \frac{1}{16} \ in, 0.00526; 0.53\% $

Work Step by Step

For the given measurement, we have The precision is $\frac{1}{8}~in$ The greatest possible error is one-half the precision $\frac{1}{2}\cdot \frac{1}{8} \ in= \frac{1}{16} \ in$ The relative error is $relative~error=\dfrac{greatest~possible~error}{measurement}$ $\frac{ \frac{1}{16} \ in}{11\frac{7}{8} \ in}=0.00526$ The percent of error is $0.53\%$
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