## Basic College Mathematics (10th Edition)

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 $10 - (5-2) = 7$, $3\ne7$