– 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

Imagine you have “1”.

If you subtract a tiny bit from 1, you have 0.9

If you subtract a tinier bit from 1, you have 0.99

You can subtract tinier and tinier bits, getting 0.9999…..

Until finally the bits are so small, that they’re actually nothing at all. When you take away nothing from 1, you still have 1.