Because zero is just a number like any other number, only dividing by zero is undefined and not allowed.
Hello, there's something i've been wondering about through these days. Why does zero share the same properties as any other number? Like
n( n+1) = n^2 + n
n+n+n=3n
n( x+y) = nx + ny
why are those properties valid even for zero? I now this might seem stupid, but it has been messing with my mind. I know that if i do all the calculations it will say so, i just can't find a theoretical explanation for it. Can someone help me plz?