Talk:0.999.../Decimal addition and subtraction

Reference for this section: "Fractions without Quotients: Arithmetic of Repeating Decimals" by Richard Plagge. The College Mathematics Journal, Vol. 10, No. 1, (1978), pp. 11-15.

In the paper above the author shows how you can define addition and multiplication directly on repeating decimals. One reasons this is interesting is that it makes, using these operations one can make sense out of proofs that 0.999... = 1 without the real numbers, convergence, etc. I bumped into this when I was thinking about stuff like User:Thenub314/Musings. I had written down the algorithms myself, and then when I thought about writing them up I found it had already been done. Thenub314 (talk) 13:19, 28 November 2011 (UTC)