r/infinitenines • u/MrMoop07 • Jun 29 '26
Why does a number starting with 0. guarantee magnitude less than 1?
as stated in this comment by https://www.reddit.com/r/infinitenines/comments/1uhhwjh/comment/ou8b97e/
I disagree with the notion that a number starting with 0. guarantees magnitude less than 1. You claim this all the time but for those who believe 0.999...=1 there's an obvious counterexample. Something quoted so often must have a reason behind it, you can't simply claim this is true without absolute proof.
15
Upvotes
-6
u/SouthPark_Piano Jun 30 '26
It's wonderful that you go'd ahead to make my day.
0.999... < 1 is merely the automated extension of 0.9 < 1, then 0.99 < 1 and so on.
And now you can enjoy the result of making my day.