You actually mean "and not 9.999990.."

But my point is that you cannot shift them at all. I am trying to establish that it makes no sense, because you are implying that you get a digit from place N to place N-1. Which makes no sense if N is infinity and you cannot define "N-1".

If you can please give me a proper definition of what you mean "infinite" digits, otherwise simply we shouldn't use things that are not defined as adding/subtracting from infinity implied by shifting the digits.