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: 1

Answer

100lb; 50lb; 0.0357; 3.57%

Work Step by Step

For the measurement 1400 lb, we have: The precision is $100$ because the last non-zero digit $4$ is in the $100$ place. The greatest possible error is one-half the precision: $0.5\cdot 100=50\ lb$ The relative error is: $relative~error=\dfrac{greatest~possible~error}{measurement}$ $\frac{50 \ lb}{1400\ lb}=0.0357$ the percent of error is $3.57\%$.
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