Re: Does the number of nines increase?

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. Therefore no index can be added  here. 9.999... has as many nines as 0.999... . After the decimal point, there is a difference. In completed infinity.
Regards, WM