RE: If 0.999 (etc.) = 1, does 1 - 0.999 = 0?
March 4, 2012 at 3:11 pm
(This post was last modified: March 4, 2012 at 3:12 pm by LastPoet.)
Hmmm, you need to know properties of real numbers, and how they are constructed to fully understand, specially the definition of dense and countable sets. As to why, I've already outlined it in that post, its the numbering system we use that allows for more than one different representation for the same number. For instance, in the rational number, 1 has infinite fraction representations, e.g. 1/1, 2/2, 3/3,...,n/n.
People tend to think about real numbers in their decimal representations, and that's why some confusion arises on this matter.
People tend to think about real numbers in their decimal representations, and that's why some confusion arises on this matter.
