Thread: Zero properties

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?

Because zero is just a number like any other number, only dividing by zero is undefined and not allowed.

Didn't you ask this a few hours ago? Why wouldn't 0 be another number?

I just dont get the intuition. something + something is twice something. But nothing + nothing equals twice nothing?

Yes,
nothing + nothing = nothing
(0+0=0)

Originally Posted by Siron

Yes,
nothing + nothing = nothing
(0+0=0)

I like to think of it this way: If I have an open container, and I try my very hardest, how much nothing can I fit inside before it bursts?

infinite