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 - 5.5 Real Numbers and Their Properties; Clock Addition - Exercise Set 5.5: 97

Answer

False. Division is not associative. A corrected statement would be: $(24 \times 6) \times 2 = 24 \times (6 \times 2)$

Work Step by Step

The statement is false because division is not associative. Evaluating both sides of the equation gives us: $4 \div 2 = 24 \div 3 \\2 = 8$ This is a false statement. However, we know that multiplication is associative. Therefore, a corrected statement would be: $(24 \times 6) \times 2 = 24 \times (6 \times 2)$
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