there is some serious discussion of this here if you are really interested. :)
http://web2.0calc.com/questions/what-happens-when-you-divide-by-zero
there is some serious discussion of this here if you are really interested. :)
http://web2.0calc.com/questions/what-happens-when-you-divide-by-zero
nah man you can,
Suppose . Then
. But
.
You could choose to make 0/0 = 1 but you'd have to give up on the idea that a*(b/c) = (a*b)/c which would be more inconvenient than any benefit you might get.
Some people dismiss these kinds of questions as stupid. I take them seriously. The rules of algebra that we have today are a result of a couple of thousand years of experimentation to find what works best. I think that generally there has been a motion towards having the simplest rules possible. In this case simply disallowing division by zero is a much simpler rule than listing all of the myriad places where 0/0=1 would require special rules like "(a*b)/c=a*(b/c) except when b and c are zero". But it is a choice. You could use the more complicated rules if you want. But millennia of experimentation has shown the benefit not to be worthwhile. And you'd also cause confusion when talking to people who stick with the usual conventions.