this post was submitted on 27 Jun 2024
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[–] [email protected] 18 points 1 month ago* (last edited 1 month ago) (2 children)

It still equals 1, you can prove it without using fractions:

x = 0.999...

10x = 9.999...

10x = 9 + 0.999...

10x = 9 + x

9x = 9

x = 1

There's even a Wikipedia page on the subject

[–] [email protected] 8 points 1 month ago* (last edited 1 month ago) (2 children)

I hate this because you have to subtract .99999..... from 10. Which is just the same as saying 10 - .99999.... = 9

Which is the whole controversy but you made it complicated.

It would be better just to have them do the long subtraction

If they don't get it and keep trying to show you how you are wrong they will at least be out of your hair until forever.

[–] [email protected] 7 points 1 month ago (1 children)

You don't subtract from 10, but from 10x0.999.... I mean your statement is also true but it just proves the point further.

[–] [email protected] 4 points 1 month ago* (last edited 1 month ago)

No, you do subtract from 9.999999....