No, no. Everyone who is not Unne or myself are wrong.

First off, repeating decimals ARE rational, because they can be converted into a fraction.

.222... is 2/9, and .999... is 9/9, or 1.

On that note, pi is irrational, because it cannot be made into a fraction.

Now, .999 with ANY number of 9s after it is less than 1. Yes, it approaches 1, but doesn't reach it.

"But as long as we can define a number that is tangeble, it is subtractable from 1. It may take millions of miles of paper to write 3,000,000,000,000,000 9's, but there is still a value that can be obtained by subtacting that from 1."

And that number is less than .999...


But infinity is not a number. The limit approaches inifinity, see? And when you REACH an infinite number of 9s after the decimal point, you get 1.