Precalculus (6th Edition) Blitzer

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

Chapter P - Section P.2 - Exponents and Scientific Notation - Exercise Set - Page 31: 128

Answer

See explanations.

Work Step by Step

For a decimal, such as $0.0052$, locate the original decimal point position (after the first zero) and the first leftmost significant digit (5). Count the number of places needed to move the original decimal point to the right side of the significant digit -- positive if moving to the left and negative if to the right (n=-3 in this case). Put the decimal point after the above significant digit (5) and write the number in scientific notation as $a\times10^n$ ($5.2\times10^{-3}$ in this example) where $1\leq |a|\lt 10$.
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