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## Does 0.9999(repeating) = 1?

Yes 705 56.9%
No 578 46.65%
Voters 1239 .

### Does 0.9999(repeating) = 1?

Mèdusa

Senior Member

For all you "no-voters", A proof or reasoning would be nice :<.

Mechwarrior5

Senior Member

This was how I figured it out.

1/9 = 0.111...
0.111... * 9= 0.999...
1/9 * 9 = 1

Cheshire Lunacy

Senior Member

i don't know T.T i havent slept since yesterday and my mind is already breaking plus i have to say me and math are not pals, considering i failed grade 11 math so many times i ended up just hating math even more.

Kazral

Senior Member

I really hope the majority of people voting no are just voting incorrectly on purpose. Anyone who has learned anything about limits should be voting yes.

WC3betterthanSC

Member

0,99999... put this in a geometric series, apply the formula. The result is gonna be 1.

Shaco ftwin

Senior Member

I still don't agree with that. There is no way something that isn't the same thing is the same thing.

Mathematically it works out, but it is clear as day that .999999~ Does not = 1. Look at the numbers... see how there are nine's verses a single one?

Again, it depends on how you look at it. For math purposes, it is right. But at the root of it all, it's not.

Emperor Azrael

Senior Member

Quote:
Mèdusa:
0.9999.... = X
10 X = 9.999....
10X - X = 9
9X = 9
9X / 9 = 1
So, X = 1

That's the standard proof anyway

I never actually learned this because public school.

Kazral

Senior Member

Quote:
leetnanas:
I still don't agree with that. There is no way something that isn't the same thing is the same thing.

Mathematically it works out, but it is clear as day that .999999~ Does not = 1. Look at the numbers... see how there are nine's verses a single one?

Again, it depends on how you look at it. For math purposes, it is right. But at the root of it all, it's not.

So you effectively just said "Mathematically it is true, but it doesn't *feel* right to me so it isn't." Since when do feelings take priority over proper math?

Mèdusa

Senior Member

Quote:
Kazral:
I really hope the majority of people voting no are just voting incorrectly on purpose. Anyone who has learned anything about limits should be voting yes.

Oh gawd, limits are no fun LOL.

Emperor Z19

Senior Member

Yes. It's been mathematically proven. I cannot explain it well myself, but I've heard it said enough by trustworthy mathematicians.

I'll make an effort regardless. The difference between .999... and 1 is infinitely small. The difference, taken to a limit of infinity, is equal to 0.

And a bonus:
1/3 = .3333333...
.33333... * 3 = .99999....
1/3 * 3 = 1
Thus, .9999... = 1