Original sentence: A proof that 1 = 0.99999..., using the method of calculating fractions from repeating decimals, follows these steps.The second step is not 10x = 9.999...0, because the right-hand side does not terminate (it is recurring) and so there is no end to which a zero can be appended
Edited sentence: Some argue that, in the second step of the equation given above, 10x is 9.999...0 and not 9.999... but this is not the case: the right-hand side does not terminate (it is recurring) and so there is no end to which a zero can be appended.The method of calculating fractions from repeated decimals, especially the case of 1 = 0.99999..., is sometimes contested by the mathematically naive: