Thinking Mathematically (6th Edition)

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

Chapter 1 - Problem Solving and Critical Thinking - 1.1 Inductive and Deductive Reasoning - Exercise Set 1.1 - Page 11: 3

Answer

On multiplying 7 by itself the result is 49, which is an odd number.

Work Step by Step

Here, we contradict the statement provided which states that multiplication of any number with itself results in an even number. We pick a random odd number (any number which is not divisible by 2 viz. 1,3,5,7,9 and so on) say 7. Now, 7 * 7 = 49 On multiplying 7 by itself, the result is 49 which is not divisible by 2. Hence, it is not an even number. Therefore, we clearly contradict the statement.
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