Ok, i have to prove that .49... = .5


Here is my basic proof so far.

If .49... < .5

then there has to a number N such that

.49... + N = .5


The problem im having is that i dont know how to prove that for all N

.49... + N > .5

One thought i had was let N = .5 - .49...

But my teacher said, that the subtraction algorithym starts from the right most point, and Since .49... will never have a right most point, he said i coulndt use that.

So anyother help would be gladly appreciated, Thanks!