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: 16

Answer

$\frac{1}{4} \ in, \frac{1}{8} \ in, 0.0714, 7.14\%$

Work Step by Step

For the given measurement, we have The precision is $\frac{1}{4} \ in$ The greatest possible error is one-half the precision $\frac{1}{2}\cdot \frac{1}{4} \ in= \frac{1}{8} \ in$ The relative error is $relative~error=\dfrac{greatest~possible~error}{measurement}$ $\frac{ \frac{1}{8} \ in}{1\frac{3}{4} \ in}=0.071$ The percent of error is $7.1\%$
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