About Joe's article multiplication is not commutative

[Paul Berger (Canada)]

In the article Joe does acknowledge that multiplication is commutative, but the point he is trying to make is that because the resolution of a calculator is limited, having some round off error is unavoidable and because of that, changing the order of the terms may cause the result to change.

Edit: Now that I go and look, (school was a long time ago), addition and multiplication are also associative but again in multiplication rounding error will trip you up on a calculator.