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originally posted by: Krazysh0t
As long as no one tries to say that .99999... = 1 I'm happy. I do like math though. Welcome to ATS though.
originally posted by: Krazysh0t
a reply to: AfterInfinity
I understand rounding. I'm talking about the crazies who think that .999999999... = 1. The difference I'm getting at is the operator being used in the expression. .999999... ≈ 1 is the correct expression. There is nothing wrong with rounding, but at the same time you have to recognize that you aren't getting the exact result either.
originally posted by: groupsandrings
Let n = .9999...
Then 10n = 9.9999...
So,
10n = 9.9999..
-n = .9999...
___________
9n = 9.000
Hence, n = 1.
Some students interpret "0.999..." (or similar notation) as a large but finite string of 9s, possibly with a variable, unspecified length. If they accept an infinite string of nines, they may still expect a last 9 "at infinity"