The same way as PI=3.1415... is a exising number.2) 0.99(9)* 10 = 9.99(9) the same way as 1/3 * 10 = 3+1/3 (0.333(3) * 10 = 3.333(3))3) 0.9999=1 proof is a real proof, not a semi-proof based on rounding errors....4) If You think 0.999(9) is not equal to 1, please give me a number (or recipe for the number) which is between 0.999(9) and 1...5) According to Your understanding, is 0.333(3) equal to 1