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: 156

Answer

The statement makes sense.

Work Step by Step

$2000.002 = (2 \times 10^{3}) + (2 \times 10^{-3})$ Evaluate $(2 \times 10^{3})$. Since the exponent of $10$ is positive, then the decimal point in $2$ will move $3$ places to the right. Thus, $$(2 \times 10^{3})=2000$$ Evaluate $(2 \times 10^{-3})$ Since the exponent of $10$ is negative, then the decimal point in $2$ will move $3$ places to the left. Thus, $$(2 \times 10^{-3}) = 0.002$$ Add the simplified terms. $$2000 +0.002 = 2000.002$$ Therefore, the statement makes sense.
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