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Does 0.9999999 = 1?

Does .9999999 = 1?


  • Total voters
    138

G4S Claude VonStroke

@MK_ClaudeVS on twitter
Ok after reading some crap on the internet I came across this wikipedia page.

http://en.wikipedia.org/wiki/0.999...

Basically they have some algebraic proofs that would lead you to believe it does = 1. Such as...
1/9 = .111
9 * 1/9 = 9 * .111
1 = .999

and...

x = 0.9999...
10x = 9.999...
10x-x=9.999... - .999...
9x=9
x=1


BUT... I can't go with algebra because it doesn't tell the whole story. There are things you cannot do with Algebra that you can with other kinds of match like Calc. So to me .9999 could never be 1 because of the limit as something approaches 1. Two different numbers can never truly be the same.

What say you TYM
[edit]​
 

Spletty

Grandmaster
I've heard this before, I love this kind of stuff. Mathematical paradoxes are fascinating as well
 

Temp

Salmon. Otters. The Bringer.
Of course 1 doesn't equal 0.999999. That's analytically false. You have all been fooled by Descartes' evil demon.
 

rev0lver

Come On Die Young
I think it comes down to whether or not infinity exists in reality. I'd say no, in which case it would be 1, but in abstract terms I still think it's .999....
 

Derptile

RIP Ex Smash
If .999 repeated itself it would still never be equal to 1.

But in the real world stuff like that doesn't matter.
 

Wigy

There it is...
A jar contains a single bacteria.
This bacteria doubles every minute.
This occurs until at 1pm the jar is full.
At what time was the jar half full.

If you don't this right away. YourNotDoinItRight.
 

Temp

Salmon. Otters. The Bringer.
A jar contains a single bacteria.
This bacteria doubles every minute.
This occurs until at 1pm the jar is full.
At what time was the jar half full.

If you don't this right away. YourNotDoinItRight.
12:59?
 
Ok after reading some crap on the internet I came across this wikipedia page.

http://en.wikipedia.org/wiki/0.999...

Basically they have some algebraic proofs that would lead you to believe it does = 1. Such as...
1/9 = .111
9 * 1/9 = 9 * .111
1 = .999

and...

x = 0.9999...
10x = 9.999...
10x-x=9.999... - .999...
9x=9
x=1


BUT... I can't go with algebra because it doesn't tell the whole story. There are things you cannot do with Algebra that you can with other kinds of match like Calc. So to me .9999 could never be 1 because of the limit as something approaches 1. Two different numbers can never truly be the same.

What say you TYM

[edit]
Here's an easier way to showcase what you've done that defies all logic.

1/9 = 0.111
2/9 = 0.222
3/9 = 0.333
..
..
..
8/9 = 0.888

So what's 9/9?