[split] 0.999... equals 1

[Meatball]

0.3r is not 1/3, it is an approximation as close to 1/3 you can get in decimals. 0.1r is not 1/9 in decimals but an approximation.

This is not true. Anyone with a paper and pencil and see that 1 divided by three generates 3's without end. There is no limitation being placed upon the actions, and we can say that the 3's repeat endlessly. Saying .3r is how we represent this and it is an exact value.

Also, the decimal system is not at fault here. I can do the same proof in any number system and still have to rely on infinitely repeating numbers.

In base3,

Code:

x = 0.2r
10x = 2.2r
10x - x = 2.2r - .2r          
2x = 2
x = 1
0.2r = 1

If your beef is with infinitely repeating numbers, and you don't accept long division as proof of their accuracy, we are indeed at an impassé.

I think SaeRules is also of this stance?