Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Review Exercises - Page 142: 33

Answer

$0.0000745$

Work Step by Step

To convert a number in scientific notation to a number in standard notation, we must move the decimal point to the left or right by the exponent of $10$ in the scientific notation. If the exponent is positive, we move the decimal right. If the exponent is negative, we move the decimal left. We are trying to convert $7.45\times10^{-5}$ to standard notation. Since the exponent of $10$ is $-5$, we move the decimal point $5$ places to the $\text{left}$, giving us $0.0000745$.
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