HedgeHog wrote:
I think you're right, ee. Anything multiplied by zero is zero. By definition. I think that is why you can't divide by zero, because the opposite, when you cross-multiply, is zero. Zero is the additive identity: a + 0=a, but it's use in multiplication is blurred. I once had a problem in abstract algebra (linear algebra) where we had to prove the existence of zero in certain fields and rings.
a/0=b => a=bx0=0