No, division is not commutative, because a/b does not necessarily equal b/a.
A simple proof by counter-example:
Assuming a = 10 and b = 5, we test the property of commutativity with:
10/5 = 2
5/10 = 0.5.
This is an example of division failing to be commutative. In general, for a/b to equal b/a, a must equal b. For all other pairs (a,b) the property fails.
Chat with our AI personalities