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 - Page 321: 140

Answer

True.

Work Step by Step

Simplify the expression on the left-hand side to obtain, \[\begin{align} & \left( 4\times {{10}^{3}} \right)+\left( 3\times {{10}^{2}} \right)=\left( 4\times 1000 \right)+\left( 3\times 100 \right) \\ & =4000+300 \\ & =4300 \end{align}\] Simplify the expression on the right-hand side to obtain, \[\begin{align} & 43\times {{10}^{2}}=43\times 100 \\ & =4300 \end{align}\] Hence, the provided statement is correct.
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