User blog comment:Alejandro Magno/Count to Infinity! (my style)/@comment-1605058-20141002202237

Suppose we go from 1000 to 2000:

"If you skip any step of the form x*10" - I did skip, for example 1010,

"any number of times" I skipped 1010, 1020, ... 1990, which gives us 99,

"do the process of the previous rule" which is "change counting value to x*10, where x is the previous counting value."

"the number of steps you skipped +1 times extra" so this is 99+1=100.

So if the counting number was 10^2, then it will become 10^2*10=10^3, then 10^3*10=10^4, ...(100 times)... then 10^101*10=10^102. Thus we get that the next counting value becomes 10^102. If we do the next step, then it will become something of order 10^10^102, and we can continue from there.