College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.1 - Real Numbers - R.1 Assess Your Understanding - Page 17: 105

Answer

Subtraction is not commutative because $a-b \ne b-a$. Refer to the step-by-step part below for the example.

Work Step by Step

Subtraction is not commutative because $a-b$ is usually not equal to $b-a$. To illustrate this, let us take $a=3$ and $b=1$: $a-b = 3-1 = 2$ $b-a = 1-3 = -2$ Note that $a-b \ne b-a$. Thus, subtraction is not commutative.
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