Alright, many of you have probably seen this before, but for those of you who haven't: get ready for some mathematical magic as I show you an old trick I learned back in highschool to algerbraeicly (spelling) prove that 0.999repeating actually = 1 by itself.
Start with x = 0.999rep
x = 0.999rep
Multiply both sides of the equation by 10
10x = 9.999rep
Subtract x from both sides.
9x = 9 (10x - x = 9x, 9.999rep - x (which was originally stated as = 0.999rep) = 9)
Divide both sides by 9
x = 1
You can also do this with fractions and logic.
1/3 as a fraction is equal to 0.333rep
2/3 as a fraction is equal to 0.666rep
3/3 as a fraction SHOULD equal 0.999rep....but as a fraction, having three thirds of something means you've got the whole thing, which equates to 1.

(on a side not...the Captcha required to post this contained the word "deleted" spelled backwards and upsidedown...what in god's name am I supposed to do there? (cycled through it) )
Start with x = 0.999rep
x = 0.999rep
Multiply both sides of the equation by 10
10x = 9.999rep
Subtract x from both sides.
9x = 9 (10x - x = 9x, 9.999rep - x (which was originally stated as = 0.999rep) = 9)
Divide both sides by 9
x = 1
You can also do this with fractions and logic.
1/3 as a fraction is equal to 0.333rep
2/3 as a fraction is equal to 0.666rep
3/3 as a fraction SHOULD equal 0.999rep....but as a fraction, having three thirds of something means you've got the whole thing, which equates to 1.
(on a side not...the Captcha required to post this contained the word "deleted" spelled backwards and upsidedown...what in god's name am I supposed to do there? (cycled through it) )