One point that wasn't noted is that division is anticommutative of the multiplicative variety. It always intrigued me as to why commutativity is seen as being a

One point that wasn't noted is that division is anticommutative of the multiplicative variety. It always intrigued me as to why commutativity is seen as being applicable to all operators and functions that provide the necessary property, but seemingly only applies to the prefix arithmetic inverse for the anticommutative variety.