This will be hard to show, doing math on a post is kind of hard.

I never really thought about what .9 repeating was, I just said it all the time like "99.9999999999% sure I'm right." But I said that once and remembered that when a number is a repeating you write the digits that repeat over x amounts of nines (x being the amount of digits the numerator has). For example 1/9=.1 repeating, because 1 divided by nine equals .1 repeating. Same thing goes for .16 repeating. It is 16/99 because 16 divided by 99 equals .16 repeating. So that means that .9 repeating would by nine over nine, which is one.

Then I was playing around with some numbers the other day, and here's what I got:

let n=0.9 repeating

10n=9.9999...

-n=-.09999...

---------------------

9n=9

n=1

[Twilight zone music]

Is what I've proved true?

I never really thought about what .9 repeating was, I just said it all the time like "99.9999999999% sure I'm right." But I said that once and remembered that when a number is a repeating you write the digits that repeat over x amounts of nines (x being the amount of digits the numerator has). For example 1/9=.1 repeating, because 1 divided by nine equals .1 repeating. Same thing goes for .16 repeating. It is 16/99 because 16 divided by 99 equals .16 repeating. So that means that .9 repeating would by nine over nine, which is one.

Then I was playing around with some numbers the other day, and here's what I got:

let n=0.9 repeating

10n=9.9999...

-n=-.09999...

---------------------

9n=9

n=1

[Twilight zone music]

Is what I've proved true?

## Comment