## Basic College Mathematics (10th Edition)

The commutative property does not apply to division because you are switching which number is getting divided up. i.e. $10\div5 = 2$ and $5\div10 = \frac{1}{2}$, $2\ne\frac{1}{2}$ The associative property does not apply to division because you are switching the order of what numbers are being divided. i.e. $(12\div6)\div2 = 1$ and $12\div(6\div2) = 4$, $1\ne4$