Re: Does the number of nines increase?

WM has brought this to us :

Le 26/06/2024 à 01:17, FromTheRafters a écrit :

WM used his keyboard to write :

Let the infinite sequence 0.999... be multiplied by 10. Does the number of nines grow?

 No, both sequences are infinite.
 

Corollary-question: Does the number of nines grow when in 0.999 the decimal point is shifted by one or more position?

 What do you think multiplying by ten does to a continued decimal expansion representation?

>
You must understand that no natural number can be added to the complete set.

Of course not, a set contains *all* of its elements.

Therefore no index can be added  here. 9.999... has as many nines as 0.999... .

9.999... is not a set.

After the decimal point, there is a difference. In completed infinity.

You are delusional.