The best way to think about it is that 1 - 0.999... = 0.000... The result of 1 minus 0.999... is 0.000 with zeroes that go to infinity. And I think its easier

The best way to think about it is that 1 - 0.999... = 0.000... The result of 1 minus 0.999... is 0.000 with zeroes that go to infinity. And I think its easier to reason that 0.000 with repeating zeroes forever is in fact equal to zero.