03-11-2009, 01:55 PM
Yes, but 1 represents the same REAL number that 0.999... represents. Rationals and irrationals make up the real numbers, but when comparing them as strictly real numbers rational and irrational do not matter as they are simply seperate subsets of the reals.
Here is a good example of what would happen if this was not true:
Although the real numbers form an extremely useful number system, the decision to interpret the notation "0.999
Here is a good example of what would happen if this was not true:
Although the real numbers form an extremely useful number system, the decision to interpret the notation "0.999
"What you are about to see is top secret. Do not tell my mother."