> > > > How is it easier to divide by 0 than by 10?
> > > >
> > > > Trav"someone had to ask"holt
> > >
> > > You always get the same result.
> > >
> > >
> > > jul".. and I can't help answering"ian
> >
> > Division by zero is undefined. There is no answer to get. I guess that does make it easier to answer "What is x divided by 0?", because you can just say "It's undefined" rather than thinking about it. What's even easier is to define it yourself. I hereby define x/0 to be 0 for all real x.
> >
> > Matthew
>
> Surely it would be more sensible to define x/0 to be infinity for all real cases of x.
>
> winter"If it matters"mute

Mathematica evaluates 1/0 (or any other nonzero number over zero) to be ComplexInfinity, 0/0 to be Indeterminate, and a non-determined quantity over 0 (such as x/0) to be ComplexInfinity.

It also gives you a warning:
"Power::infy Infinite expression 1/0 encountered."

ComplexInfinity, of course, is the "point at infinity" added to the complex plane so that you can get a nice 1-1 correspondence (and you can set up an extended complex plane topology this way) between the plane and the sphere.