Date: Nov 29, 2012 10:05 AM
Author: Joe Niederberger
Subject: Re: Some important demonstrations on negative numbers
Peter Duveen writes:
"To demonstrate that 1/-a = -(1/a):
(1/-a) x -a = 1 definition of 1/-a eq.1
- - - (1/a) x a = -1 definition of 1/a
- - -1 (1/a) x a = -1
Peter, I get the impression you are trying to demonstrate these things to yourself in an attempt perhaps to understand things you learned by rote earlier. Furthermore, I get the feeling that you therefore think these "demonstrations" would automatically be a good way
to introduce this material to first-timers.
Forgive me if I'm wrong. But if I'm at all close, don't you see a potential problem in that approach?