Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 1 - Whole Numbers - 1.4 Multiplying Whole Numbers - 1.4 Exercises - Page 41: 113

Answer

No, the commutative and associative properties do not apply to subtraction

Work Step by Step

The commutative property does not apply to subtraction because switching the order of subtraction would make the difference negative i.e $10-5 = 5$ and $5-10 = -5$, $5\ne-5$ The associative property does not apply to subtraction (though it can work, but not always) because switching the parenthesis changes what is being subtracted. i.e. $(10-5) - 2 = 3$ and $10 - (5-2) = 7$, $3\ne7$
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