I have a couple of questions all of which have to do with dividing by 0. Thanks in advance. 1
is considered undefined, but . How is this possible if its reciprocal is undefined?
2
Would be considered a rational number? Or would it be in a class of its own?
3
I think this statement would be true: . How is this possible if is undefined? Would this make it a rational number then, given the fact that any number over itself is equivalent to ? I put in my calculator, and it just reads an error, but wouldn't it be 1?
4
What exactly does "undefined" mean numerically?
5
Originally, complex numbers emerged because the square root of a negative number is impossible, and complex numbers give a proper explanation. Why haven't they done this with dividing by 0? Has this already been done?