### Does 1 = 0.999... ?

Posted:

**Sat Aug 22, 2015 5:43 pm**Does 1 = 0.999... ?

Most if not all mathematicians say that 1 = 0.999...

They are an infinitesimal off.

I demonstrate this below, without the literal introduction of "an infinitesimal".

So, the following statements are correct:

Statement A: x < 1

Statement B: x <= 0.999...

Statement A = Statement B

----

Another way of putting this is to create an algorithm to determine whether one number is less than another number. This is done on my website.

(https://sites.google.com/site/indigoboy83/home)

Most if not all mathematicians say that 1 = 0.999...

They are an infinitesimal off.

I demonstrate this below, without the literal introduction of "an infinitesimal".

So, the following statements are correct:

Statement A: x < 1

Statement B: x <= 0.999...

Statement A = Statement B

----

Another way of putting this is to create an algorithm to determine whether one number is less than another number. This is done on my website.

(https://sites.google.com/site/indigoboy83/home)