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Unfortunately for you both, they are EXACTLY equal. Proof: Let x = 0.99999~ 10x = 9.99999~ (just move the decimal) 10x - x = 9.99999~ - 0.99999~ = 9 (All the nines after the decimal fall off) 9x = 9 x = 1 But we started with x = 0.99999~, ended with x = 1. Thus, 0.9999~ = 1