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0 / 0
Jun 30 2008, 11:18 pm
By: stickynote  

Jun 30 2008, 11:18 pm stickynote Post #1



Out of curiosity, if you took 0, and divided it by 0, what would you get? A number divided by itself gives you 1, a number divided by 0 is undefined, but 0 divided by a number gives you 0. So which one is it? Or is it neither of them?



None.

Jun 30 2008, 11:35 pm cheeze Post #2



It's undefined. Even using limits, it's undefined. Note that a non-zero devided by zero is infinity (using limits).



None.

Jun 30 2008, 11:42 pm Riney Post #3

Thigh high affectionado

If 0 is null, then there is exactly 1 null part in zero.

Thats how I see it



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Jun 30 2008, 11:42 pm HailFire Post #4



How many times can you put nothing into nothing?

"Once" seems like the logical answer.



None.

Jun 30 2008, 11:56 pm Ckol Post #5



Quote from stickynote
Out of curiosity, if you took 0, and divided it by 0, what would you get? A number divided by itself gives you 1, a number divided by 0 is undefined, but 0 divided by a number gives you 0. So which one is it? Or is it neither of them?

Division by zero is not possible, just thinking about. If i have nothing and divide it into nothing groups, what do i get? That statement is meaningless. I really dont feel like getting into the math, but in our ordinary number system (you can get funky and create a system where you can divide by zero), division by zero is meaningless and thus undefined.

Quote from cheeze
It's undefined. Even using limits, it's undefined. Note that a non-zero devided by zero is infinity (using limits).

Even with limits, 0/0 is an indeterminate form, there is simply not enough information to define the value, hence, it is also undefined

Quote from name:Dark_Marine
If 0 is null, then there is exactly 1 null part in zero.

Thats how I see it

Zero and Null are two similar but different concepts.



None.

Jul 1 2008, 12:08 am Clokr_ Post #6



Quote from cheeze
It's undefined. Even using limits, it's undefined. Note that a non-zero devided by zero is infinity (using limits).

That's not actually true, only when the denominator 0 refers to an infinitesimal and not 0 itself.

lim x->0 3/x = inf
lim x->0 3/0 doesn't exist :P



?????

Jul 1 2008, 12:11 am Test Post #7



Quote from cheeze
It's undefined. Even using limits, it's undefined. Note that a non-zero devided by zero is infinity (using limits).
You solve for it by solving it as x approaches 0 from the left, and from the right. If the two answers are equal, then you can say that the limit where x=0 is the answer. I taught myself calculus in high school.

y = lim (x->0) (1 / x)
1 / -0.0001 = -10000

1 / 0.0001 = 10000

-10000 ≠ 10000

y = 1 / x
(-infinity, 0) & (0, infinity)



None.

Jul 1 2008, 12:19 am cheeze Post #8



Quote from Clokr_
Quote from cheeze
It's undefined. Even using limits, it's undefined. Note that a non-zero devided by zero is infinity (using limits).

That's not actually true, only when the denominator 0 refers to an infinitesimal and not 0 itself.

lim x->0 3/x = inf
lim x->0 3/0 doesn't exist :P
Yeah, the second part isn't REALLY using the limit. :P



None.

Jul 1 2008, 12:32 am candle12345 Post #9



Ahh but any number ^0 = 1.
And if you look at it logically, that means there are two trains of thought defending 0/0=1
Therefore, it is for most intents and purposes, 1.



None.

Jul 1 2008, 12:37 am Symmetry Post #10

Dungeon Master

Quote from candle12345
Ahh but any number ^0 = 1.
And if you look at it logically, that means there are two trains of thought defending 0/0=1
Therefore, it is for most intents and purposes, 1.

No.



:voy: :jaff: :voy: :jaff:

Jul 1 2008, 12:38 am Clokr_ Post #11



4/2 = 2 because 2*2 = 4
14/7 = 2 because 2*7 = 14
60/5 = 12 because 12*5 = 60

0/5 = 0 because 0*5 = 0
5/0 = not defined because no number times 0 = 5
0/0 = not defined because any number times 0 = 0



?????

Jul 1 2008, 12:53 am RIVE Post #12

Just Here For The Pie

My Trigonometry teacher once said there was a way to divide zero by itself.

I would guess it requires an equation using imaginary numbers. There's no way reals could be involved.



None.

Jul 1 2008, 12:53 am Lord Agamemnon Post #13

Magical-Girl Enabler

It depends on what you're doing with it. For instance, in the equation (X^2/X), at X=0 the value is 0 if you take the limit. In sin(x)/x, however, the limit is 1. 0/0 by itself is undefined; it depends on what function and context it's being used in.

Imaginary numbers aren't involved. Just calculus :P



None.

Jul 1 2008, 12:56 am Clokr_ Post #14



Quote from RIVE
My Trigonometry teacher once said there was a way to divide zero by itself.

I would guess it requires an equation using imaginary numbers. There's no way reals could be involved.

True zeros can never be divided. He was probably talking about limits, where what you divide are two expressions which fastly approach zero. And that can result in any value (inf, -inf, a number or undefined).



?????

Jul 1 2008, 1:00 am Zell. Post #15



0 represents nothing. Simply therefore you cannot divide something by 0 because you aren't dividing by anything. 0 -diviby- 0 = 0. So if you don't get it... You have nothing, you divide by nothing <-thats important. So your dividing by nothing (same thing as not dividing) leaving you with the original value unaffected. Nothing, which is 0.



None.

Jul 1 2008, 2:03 am stickynote Post #16



So that means 0/0 equals 0?

Quote from RIVE
My Trigonometry teacher once said there was a way to divide zero by itself.

I would guess it requires an equation using imaginary numbers. There's no way reals could be involved.
Just something to note, is that the imaginary number is the square root of -1.



None.

Jul 1 2008, 2:08 am Matt Burch Post #17



stickynote, 0/0 is undefined.



None.

Jul 1 2008, 3:32 am candle12345 Post #18



Quote from stickynote
So that means 0/0 equals 0?
Quote from RIVE
My Trigonometry teacher once said there was a way to divide zero by itself. I would guess it requires an equation using imaginary numbers. There's no way reals could be involved.
Just something to note, is that the imaginary number is the square root of -1.
And the square root of -1 isn't imaginary, it's a not real number.



None.

Jul 1 2008, 3:43 am cheeze Post #19



What do you think imaginary means?



None.

Jul 1 2008, 4:26 am Ckol Post #20



Quote from candle12345
Quote from stickynote
So that means 0/0 equals 0?
Quote from RIVE
My Trigonometry teacher once said there was a way to divide zero by itself. I would guess it requires an equation using imaginary numbers. There's no way reals could be involved.
Just something to note, is that the imaginary number is the square root of -1.
And the square root of -1 isn't imaginary, it's a not real number.

SQRT(-1) or i is called the imaginary unit, a complex number is basically a real number plus a multiple of i.

Division by zero is undefined in the complex number system as well as our real number system.



None.

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