– why is 0.999… equal to 1?

Question

I know the Arithmetic proof and everything but how to explain this practically to a kid who just started understanding the numbers?

In: 3202

Answer 1

I find the cleanest way (ELI15, not ELI5) and the truest to the Dedekind Cut (ELI25) is does like this:

> Find a number between 1.0 and 0.999… – if you can’t then they are, in fact, the same number