Let me work this out in a problem to show people. Let's say our x = .9999 (repeating) 1.) So that would mean that 10x = 9.999 (repeating) 2.) 10x - x = 9 (9.999 - .9999 = 9) 3.) so 9x = 9 4.) Which means x = 1 once it is reduced! I heard about this from like all my math teachers they were freaking out. Just thought I'd share it so people in school can seem smart .