Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 1 - Section 1.6 - Properties of Integral Exponents - Exercise Set - Page 82: 157

Answer

The statement makes sense.

Work Step by Step

$40,000.04 = (4 \times 10^{4}) + (4 \times 10^{-2})$ Evaluate (4 \times 10^{4}). Since the exponent of $10$ is positive, then the decimal point in $4$ will move $4$ places to the right. Thus, $$(4 \times 10^{4})=40000$$ Evaluate $(4 \times 10^{-2})$ Since the exponent of $10$ is negative, then the decimal point in $4$ will move $2$ places to the left. Thus, $$(4 \times 10^{-2}) = 0.04$$ Add the simplified terms. $$40000 +0.04 = 40,000.04$$ Therefore, the statement makes sense.
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