I would love to hear your thoughts on this intriguing topic!

[Nick89]

0.999... = 1 ??

Hey,

I was just reading about this and thought it was interesting.

Apparently, from what I have read, 0.999... = 1
(where the 999... represent an infinite series of 9's)

There were a few good arguments for this 'fact' and also a few arguments against it...

What I want to know is, is this actually true, a fact, or merely a 'theory' ?

Is 0.999... = 1 just as valid as 1+1 = 2 ?

 

[Gokul43201]

Yes it is. Please search the forums for other threads on this. You will see that it has been discussed here extensively.

 

[cristo]

As Gokul says, this has been discussed many, many times. Here are a few of those discussions:

https://www.physicsforums.com/showthread.php?t=5513
https://www.physicsforums.com/showthread.php?t=90953
https://www.physicsforums.com/showthread.php?t=106212
https://www.physicsforums.com/showthread.php?t=125474

etc, etc, etc...