Re: Does the number of nines increase?

On 6/27/2024 1:06 PM, WM wrote:

Le 27/06/2024 à 21:56, "Chris M. Thomasson" a écrit :

On 6/27/2024 5:09 AM, WM wrote:

Le 26/06/2024 à 20:46, "Chris M. Thomasson" a écrit :

On 6/26/2024 12:15 AM, WM wrote:

>

9.999... has one 9 less after the decimal point than 0.999... .

>
NO! Think of: .(9) * 10 = 9.(9) = 10

>
Wrong.
>
10*0.999...999 = 9.999...990

>
Where is that last zero coming from?

 In 0.999... there is a constant set of indices indexing all nines. If a point of fly droppings becomes visible at another place this does not change the set of indices of nines. Hence also an arbitrary shift of the decimal point by multiplication does not change the number of nines.

.(9) = 1
There is always an infinite number of nines in Say:
9.(9) = 10
This is the way base 10 can work.
You cannot magically add one!