0.9999.... = 1.0

[MDMAlliance]

drkohler said:

MDMAlliance said:

Actually, not really.  You never "reach" it.  That is part of the problem.  

Even with the theories that say 0.999... is 1, your sums never go to the point where it's like, "now I add this last part to finally get to X."  

These are all based on theories that people accept by faith.

holy crap..... there is absolutely no faith involved here. This is solid math - you simply seem not to understand the concept of this particular math.

0.(period)9 is a number that has an infinite number of 9s. There is no "last part to finally get somewhere". There is no "let's add a few more 9s so it is even closer to 1", there is no "we never reach it becaiuse I can't write enough 9s"

0.(period)9 is a (rather stupid) way of writing 1, you could also write (4 + 6*3) / (7 + 3*5) which is also a stupid way of writing 1.

What I was saying was about the geometric series, not 0.999...

When I say "theories," I was referring to the Axiom of Choice theorem.