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Do you have any reference/proof/etc. for 0.999... === 1? As one of those taught to believe it is not, I would like to see it. Unfortunately, text books conserv
by tmzt 13y ago
Do you have any reference/proof/etc. for 0.999... === 1? As one of those taught to believe it is not, I would like to see it.
Unfortunately, text books conserve non facts for very interesting reasons. Some good examples are at http://www.textbookleague.org/ http://www.textbookleague.org/
- thejteam 13y agoA very informal proof: Let X = 0.999… Then 10X = 9.999… 10X - X = 9.999… - 0.999… = 9 = 9X Therefore X = 1. Being able to do the subtraction infinitely is a little hand-wavy, but should suffice as a demo for middle and high schoolers. More formal proofs involve limits that one wouldn't normally encounter until a course in real analysis. Wikipedia has a whole page devoted to the topic: http://en.wikipedia.org/wiki/0.999.. http://en.wikipedia.org/wiki/0.999...