– 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

You can make any repeating number you want by doing the following:

choose a repeating part; I’ll take 1001. Divide your repeating part by a number of nines, equal to the length of your repeating part. So for me that would be 1001/9999. This equals 0.100110011001…

The reverse is also true, so 0.333…. Is 3/9 = 1/3
And 0.999… = 9/9 = 1