Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.6 Exponents and Scientific Notation - Exercise Set 5.6: 95

Answer

$3 \times 10^{3}$

Work Step by Step

Convert each number to scientific notation to find: $=(5 \times 10^{-4})(6 \times 10^{6})$ Multiply the corresponding parts together to find: $=(5 \cdot 6)\times (10^{-4} \cdot 10^{6}) \\=30 \times 10^{-4+6} \\=30 \times 10^{2} \\=3.0 \times 10^{2+1} \\=3 \times 10^{3}$
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