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what is 0 divided by 0?
what is 0 divided by 0?
does anyone know?
well, technicaly it could be any of the following:
0, because 0 divided by anything is 0.
infinity, because anyhting divided by 0 is infinity.
1, because anything divided by itself is 1.
chuck norris, because he feels like it. http://www.chucknorrisfacts.com/
so, what's your opinion?
i personally think it's chuck norris, but my second option is 1.
does anyone know?
well, technicaly it could be any of the following:
0, because 0 divided by anything is 0.
infinity, because anyhting divided by 0 is infinity.
1, because anything divided by itself is 1.
chuck norris, because he feels like it. http://www.chucknorrisfacts.com/
so, what's your opinion?
i personally think it's chuck norris, but my second option is 1.
who do he think he is..? he can be dvided by zero..?
At first I think I would go with 0. But that I think of it, though my thinking might be dangerous, it could possibly be 1..
Then again I'm really leaning towards the whole Chuck Norris thing. cause he invented water. :/
Then again I'm really leaning towards the whole Chuck Norris thing. cause he invented water. :/
actually, 0 / 0 can be both 1 and infinity.
i cannot remember the exact thing, and even if i remember, i don't think i can explain it here.
it was when i learned about
lim (x -> 0) (f(x)/g(x))
that we discuss when x approaches 0, f(x)/g(x) can both be 1 or infinity.
but then again, i need to ask chuck norris if he'll agree with it.
Last edited by badai on Fri Mar 14, 2008 9:17 am; edited 1 time in total
i cannot remember the exact thing, and even if i remember, i don't think i can explain it here.
it was when i learned about
lim (x -> 0) (f(x)/g(x))
that we discuss when x approaches 0, f(x)/g(x) can both be 1 or infinity.
but then again, i need to ask chuck norris if he'll agree with it.
Last edited by badai on Fri Mar 14, 2008 9:17 am; edited 1 time in total
| badai wrote: |
| actually, 0 / 0 can be both 1 and infinity.
i cannot remember the exact thing, and even if i remember, i don't think i can explain it here. it was when i learned about lim (x -> 0) (f(x)/g(x)) that we discuss when x approaches 0, f(x)/g(x) can both be 0 or infinity. but then again, i need to ask chuck norris if he'll agree with it. |
Ummm.... no. 0/0 will be undefined, it is not one. I think you may have misunderstood the concept of limits. According to what you said, the lim (x -> 0) ((4x)/x) will be one instead of four. So theoretically, based on what you said, you can make the limit as x approaches zero of anything one by multiplying the top and bottom of a fraction by x. So I'd say that you either misunderstood limits or I simply didn't understand what you were trying to say.
Its infinity, because Chuck Norris said so
I think it is undefined. Division is basically how you divide a piece into multiple pieces. So 1/0 means, "I have 1 piece of cake, how much does 0 person will have if I share it equally?" The answer is undefined because there is even no person in the first place. That is also the same for 0/0.
(Now that I think about it, that person may have infinity pieces of cake, but we won't even be able to know that)
(Now that I think about it, that person may have infinity pieces of cake, but we won't even be able to know that)
It's an unreal equation -- no reality in reality but infinity in theory.
According to the rules of math, it can be both 1 and infinity as is said here before. I'd go for the not existing option that you shouldn't try to solve this as it has no use anyway 
| the-guide wrote: |
| It's an unreal equation -- no reality in reality but infinity in theory. |
Same in my opinion...
Leontius's awnser made me rethink my awnser...
if you have 0 pieces of cake, and 0 pieces to give to people, then no-one gets any cake, therefore the awnser is 0.
except chuck norris. he gets cake, even though there isn't any. so technically, that makes the answer 1.
although, there's only no cake if your experiments are too successful. (see Portal, the game.)
if you have 0 pieces of cake, and 0 pieces to give to people, then no-one gets any cake, therefore the awnser is 0.
except chuck norris. he gets cake, even though there isn't any. so technically, that makes the answer 1.
although, there's only no cake if your experiments are too successful. (see Portal, the game.)
| MarzEz wrote: |
| therefore the awnser is 0. |
No, it is not 0. It is undefined. The answer is not one or zero. The answer is undefined! You cannot ever divide by zero because the answer is so infinitely great that it cannot be defined by numbers.
If you divide by 0, the universe will collapse. At least that's what they teached me in math classes.
| Gieter wrote: |
| If you divide by 0, the universe will collapse. At least that's what they teached me in math classes. |
Well at least php does
| Quote: |
| Warning: Division by zero in /var/www/null.php on line 2 |
Well, to answer this question, we must think a bit philosophical also. First lets define ZERO and the process of DIVISION
| vineeth wrote: |
| Well, to answer this question, we must think a bit philosophical also. First lets define ZERO and the process of DIVISION |
This isn't a philosophical question at all. It's a simply arithmetic problem at an elementary level. 0/0 = undefined.
There's no option for undefined in your poll but that's all 0/0 is. or x/0
| snowboardalliance wrote: |
| There's no option for undefined in your poll but that's all 0/0 is. or x/0 |
There was sort of an option. Infinity was an option, and in this case, infinity more or less means the same thing as undefined. The reason why something divided by zero is undefined is because it's too infinitely great to be defined by numbers.
no, x/0 is undefined, not because the number is too large
some guys in the past apparently write undefine using infinity symbol
but undefined is still undefined, not infinity
some guys in the past apparently write undefine using infinity symbol
but undefined is still undefined, not infinity
this is what happens when you divide anything by 0:
ROFL to carlospro7, nice pic... did you photoshop that? Anyway 0/0 is undefined... it doesn't take a genius.
| Sundae wrote: |
| no, x/0 is undefined, not because the number is too large
some guys in the past apparently write undefine using infinity symbol but undefined is still undefined, not infinity |
1/0 is undefined because the value will be too great to define with numbers. However, saying that the answer is infinity isn't proper.
None of the poll options are correct, although I was tempted to answer Chuck Norris, remembering him singing the theme "When the eyes of the ranger are up on you..." almost causes me an "division by zero" error on my brain 
Anything divided by zero it's an indetermination, the result of that kind of division won't be a small number or a big number, it simply doesn't exist
| Afaceinthematrix wrote: |
| 1/0 is undefined because the value will be too great to define with numbers. However, saying that the answer is infinity isn't proper. |
Anything divided by zero it's an indetermination, the result of that kind of division won't be a small number or a big number, it simply doesn't exist
for 0/0 its got to equal 0
If you want to get technical on this issue what would the other sums be.
0+0=
0-0=
0x0=
I think all is zero but what do you think?
If you want to get technical on this issue what would the other sums be.
0+0=
0-0=
0x0=
I think all is zero but what do you think?
The answer to zero divided by zero is OH SHI-
Everybody knows that!
Everybody knows that!
You can't divide by zero. It's as simple as that.
You do not want to blow-up the universe, do you?
You do not want to blow-up the universe, do you?
| BPrice wrote: |
| for 0/0 its got to equal 0
If you want to get technical on this issue what would the other sums be. 0+0= 0-0= 0x0= I think all is zero but what do you think? |
It's not zero. It's undefined. It's not a matter of what you think, it's a matter of fact.
| bloodrider wrote: | ||
None of the poll options are correct, although I was tempted to answer Chuck Norris, remembering him singing the theme "When the eyes of the ranger are up on you..." almost causes me an "division by zero" error on my brain :lol:
Anything divided by zero it's an indetermination, the result of that kind of division won't be a small number or a big number, it simply doesn't exist :!: |
The reason that it doesn't exist is because the value is too infinitely large to be defined by numbers.
Look:
1/1 = 1
1/2 = 1/2
1/3 = 1/3
1/4 = 1/4
.
.
.
The larger the number that you divide by gets, the smaller the value gets.
Likewise:
1/(1/2) = 2
1/(1/3) = 3
1/(1/100) = 100
The smaller that that number gets, the larger the product will be. So by the time you get to zero, you will have a number too infinitely large to define because if you define it as, let's say 1000000, then someone can simply say that that's incorrect because 1/(1/1000000) is 1000000, and by definition, 1/1000000 is larger than zero so the result needs to be smaller. That's why the number doesn't exist. It's too infinitely large to be defined by numbers. However, saying that x/0 = infinity (like someone mentioned earlier) isn't proper because there's a difference between infinity and infinitely large.
Edit:
I just thought of another way to explain my point. Think of division as repeated subtraction. Take any number (let's just use 20/5) and 5 until you get 0.
1. 20-5=15
2. 15-5=10
3. 10-5=5
4. 5-5=0
We did that 4 times, therefore the answer is 4.
20/11
1. 20-11=9
The answer is 1 remainder 9, or 1 + 9/11
If you divide by 0, you'll do this repeatedly forever. The amount of times that you'll need to subtract 0 will be infinity. So I guess you can say that there is an infinite amount of 0's in the number 4.
0/0 can't be 1 because then you could prove any fraction is equal to any other fraction. For example, if 0/0 was 1, then if you take the equation 1/2 = 1/3, and then multiplied both sides by the same number, 1, expressed as 0/0, then your equation would become 0/0 = 0/0, which is true, except that it would show that 1/2 = 1/3, which obviousely isn't true. That make any sense?
Yeah, anything divided by zero is "undefined", not infinity. Therefore 0/0 should be undefined too. My graphing calculator agrees with me on this one. 
Interesting question though!
Interesting question though!
It is an imaginary number. If you actually had to divide zero by zero (impossible, obviously), the universe would split and we would all be swallowed by big black holes .
.So 0/0 is undefined. But what is
| Code: |
| lim (x/x)
x-->0 |
zero divide zero equals zero there's nothing there to divide so why would it be infinity just abit of a daft question really 
but depends on who has the mathematical brain think I spelt that right I think.
but depends on who has the mathematical brain think I spelt that right I think.It's a way to make a computer explode? ^^;
| raine dragon wrote: |
| It's a way to make a computer explode? ^^; |
Try what Afaceinthematrix said is a way to compute the answer of 4/0
| Code: |
| <?php
$a = 4; $i = 0; while ($a != 0) { $a -= 0; ++$i; } echo $i; ?> |
tell me when you get the answer
btw: please don't use this or anything like this on the frihost server
well, 0/0 can't be a way to make a computer explode. i'll prove it. start menu, all programs, accessories, calculator, 0/0...
why is the computer making that sound?
OH SHI-
why is the computer making that sound?
OH SHI-
| sondosia wrote: |
| Yeah, anything divided by zero is "undefined", not infinity. Therefore 0/0 should be undefined too. My graphing calculator agrees with me on this one. :-)
Interesting question though! |
Again, it is undefined because when you divide anything by zero, the value is too infinitely great to be defined by numbers. It's not called infinity, and it would be improper to do so, but it is too infinitely large to be defined by numbers. 21/7 = 3 because there are three 7's in 21. There are an infinite amount of 0's in 21. That's why many mathematicians, and I, and many math books explain the concept of undefined simply meaning that the product would be too infinitely great to meaningfully define with numbers. This is the best way to explain it in a way that everyone, or at least most people, will understand.
| mafiawars wrote: |
| zero divide zero equals zero there's nothing there to divide so why would it be infinity just abit of a daft question really :D but depends on who has the mathematical brain think I spelt that right I think. |
No. It's undefined. You cannot divide by 0.
| Arnie wrote: | ||
So 0/0 is undefined. But what is
|
That is one. That is in the indeterminate form. That reduces to 1, so the limit will simply be one. It's sort of like saying:
lim(x->0) 4
That's obviously 4. Now multiply the top and bottom by x.
You get lim(x->0) ((4x)/x).
This is the same equation (except at x=0 there will be a whole) so the limit will be the same. Many times when you take the limit and get 0/0, it actually has a limit but is in the indeterminate form. A perfect example is:
lim (x->0) sinx/x
That produces 0/0, but using the L'Hopital's (not sure on the spelling) Rule, that can be changed to:
lim (x->0) cosx/1 which will give you 1/1. Therefore the answer is 1. If it wasn't for that, technically you would be able to screw up any function by multiplying it by x/x.
well, is it undefined, (we'll call it infinity for now,) or is it 1?
you supplied 2 awnsers in your previous post.
i know undefined isn't the same as infinity, but there's no "undefined" in the poll.
you supplied 2 awnsers in your previous post.
i know undefined isn't the same as infinity, but there's no "undefined" in the poll.
So, that answers the question. 0/0 is undefined, but when approached with a limit it's 1. Nothing more to say here, but I'm sure there will be plenty of heroes posting their random ideas without having read the rest of the topic anyway.
| Arnie wrote: |
| So, that answers the question. 0/0 is undefined, but when approached with a limit it's 1. Nothing more to say here, but I'm sure there will be plenty of heroes posting their random ideas without having read the rest of the topic anyway. |
it depends on the limit.
because with limits you can use x/x, 2x/x, x/2x,or in general nx/mx that will all go to 0/0 when x goes to 0. But the limit will be different. In general it will be n/m so if you choose n=1 and m=1 it is 1 but not with different values of n and m.
What does dividing nothing by nothing mean?
Dividing 1 by four, for example, means dividing 1 thing into four parts
Thus, dividing 0 by 0 means dividing nothing into no parts.
personally I think the question is meaningless
Dividing 1 by four, for example, means dividing 1 thing into four parts
Thus, dividing 0 by 0 means dividing nothing into no parts.
personally I think the question is meaningless
| Davidgr1200 wrote: |
| What does dividing nothing by nothing mean?
Dividing 1 by four, for example, means dividing 1 thing into four parts Thus, dividing 0 by 0 means dividing nothing into no parts. personally I think the question is meaningless |
0/0 is unusable though as it is undefined and can't be used in any way.
0/0 can be many things depending on what logic you use.
x/x = 1
3/3 = 1
2/2 = 1
1/1 = 1
0/0 = 1
x/0 = Infinity
3/0 = Infinity
2/0 = Infinity
1/0 = Infinity
0/0 = Infinity
And the logic meaning that division is dividing something into parts. With 0 you have nothing to divide and therefore the answer is 0.
| MarzEz wrote: |
| well, is it undefined, (we'll call it infinity for now,) or is it 1?
you supplied 2 awnsers in your previous post. i know undefined isn't the same as infinity, but there's no "undefined" in the poll. |
It's undefined. In my previous post, I was simply answering someone's question about limits (one of the fundamental concepts in calculus and analysis). But 0/0 is undefined.
0 divided 0.. looks like an infinity ammount of debate on the answer to me
For a somewhat authoritative answer to this question, I would refer anyone to this link:
http://en.wikipedia.org/wiki/Indeterminate_form
Or this one:
http://en.wikipedia.org/wiki/L%27hospital%27s_rule
And here are my two cents:
People, maybe because it is comforting to their minds, like to believe that there is a Universal objective truth, and that it's comprehensible to man.
I personally believe in Universal truth, too. But I don't believe in my own capacity, having finite knowledge and time, to comprehend it.
The ironclad arguments of logic depend on at least a couple of things: The law of the excluded middle, which states more or less that for a proposition P, P is either true or false. In my many days, I have not come across a proposition in the truth of which EVERYONE was convinced.
Another block in this rickety tower is dependence on first principles or axioms which must be taken on faith. Any claim of truth based on logical rules must ultimately rely on believing in something "because I said so", or "because it's self evident", or by some other dependence on faith.
I believe that mathematical and logical truths derive their power from agreement on their truth. The more powerful argument is that which convinces more people.
And now, after all of that pussyfooting and wishy-washing around, here is a convincing argument of the indeterminacy of 0/0, grabbed straight from wikipedia:
Love to all!
Uwe[/url]
http://en.wikipedia.org/wiki/Indeterminate_form
Or this one:
http://en.wikipedia.org/wiki/L%27hospital%27s_rule
And here are my two cents:
People, maybe because it is comforting to their minds, like to believe that there is a Universal objective truth, and that it's comprehensible to man.
I personally believe in Universal truth, too. But I don't believe in my own capacity, having finite knowledge and time, to comprehend it.
The ironclad arguments of logic depend on at least a couple of things: The law of the excluded middle, which states more or less that for a proposition P, P is either true or false. In my many days, I have not come across a proposition in the truth of which EVERYONE was convinced.
Another block in this rickety tower is dependence on first principles or axioms which must be taken on faith. Any claim of truth based on logical rules must ultimately rely on believing in something "because I said so", or "because it's self evident", or by some other dependence on faith.
I believe that mathematical and logical truths derive their power from agreement on their truth. The more powerful argument is that which convinces more people.
And now, after all of that pussyfooting and wishy-washing around, here is a convincing argument of the indeterminacy of 0/0, grabbed straight from wikipedia:
| Quote: |
|
The most common example of an indeterminate form is 0/0. As x approaches 0, the ratios x2/x, x/x, and x/x3 go to 0, 1, and \scriptstyle\infty correspondingly. In each case, however, if the limits of the numerator and denominator are evaluated and plugged into the division operation, the resulting expression is 0/0. So (roughly speaking) 0/0 can be 0 or it can be \scriptstyle\infty and, in fact, it is possible to construct similar examples converging to any particular value. That is why the expression 0/0 is indeterminate. More formally, the fact that the functions f and g both approach 0 as x approaches some limit point c is not enough information to evaluate the limit \lim_{x \to c} \frac{f(x)}{g(x)}. \! That limit could converge to any number, or diverge to infinity, or might not exist, depending on what the functions f and g are. Not every undefined algebraic expression is an indeterminate form. For example, the expression 1/0 is undefined as a real number but is not indeterminate. This is because any limit that gives rise to this form will diverge to infinity. An expression representing an indeterminate form may sometimes be given a numerical value in settings other than the computation of limits. The expression 00 is defined as 1 when it represents an empty product. In the theory of power series, it is also often treated as 1 by convention, to make certain formulas more concise. (See the section "Zero to the zero power" in the article on exponentiation.) In the context of measure theory, it is necessary to take \scriptstyle 0\cdot\infty to be 0. |
Love to all!
Uwe[/url]
You cannot divide anything to 0 because it`s impossible. So the result i think it`s Chuck Norris
| rvec wrote: | ||||
Try what Afaceinthematrix said is a way to compute the answer of 4/0
tell me when you get the answer
btw: please don't use this or anything like this on the frihost server |
Yeah, I'm thinking not... Infinite while loop much? XD
| rvec wrote: | ||||
Try what Afaceinthematrix said is a way to compute the answer of 4/0
tell me when you get the answer
btw: please don't use this or anything like this on the frihost server |
I ran that on my computer lol. Used 100% system resources for 30 seconds then I got this:
| Quote: |
| Fatal error: Maximum execution time of 30 seconds exceeded in C:\wamp\www\0divide.php on line 6 |
Anyways 0/0 is Chuck Norris OBVIOUSLY. His parents tried dividing by 0 one day and 9 months later Chuck was born!
It has been already mentioned, but just to reaffirm, the talk about l'hopital's rule is right. 0/0 is undefined, but the limit of some fraction, where, as you approach a certain number, the quotient is that 0/0 thing, can have a defined answer. What l'hopital's rule is saying, in a simple way, is that if you have two functions that equal 0, as the input approaches some value (take the limit as x approaches pi, of sin(x)/(x-pi), for example), you can take the derivative of the top and bottom function, and that resultant quotient is equivalent to the previous fraction. In the case given, I think it would come out to be -1, since the derivative of sin(x) is cos(x), and the derivative of x-pi is simply 1, and cos(pi) divided by 1 is -1. Unless I'm thinking wrong, but I still think the concept is relatively right.
| Drawingguy wrote: |
| In the case given, I think it would come out to be -1, since the derivative of sin(x) is cos(x), and the derivative of x-pi is simply 1, and cos(pi) divided by 1 is -1. Unless I'm thinking wrong, but I still think the concept is relatively right. |
Your answer is correct. The answer is -1. However, your explanation is a little sketchy. You forgot the mention one of the most important points of the rule. One major point of L'Hospital's rule is to be able to compute the limit of a function that is in an indetermined form, but that still has a limit that isn't undefined. For instance, the limit as x approached 0 of 4x/x is 4. If you computed the limit the normal way, you would get 0/0. However, using L'Hospital's rule, you get 4/1 which is simply 4.
I was taught that maths forbids x/0. You can use it at limits only...
lim0/0= Another*Chuck^Norris-Beats*the*crap+of/everyone *1/sqrt(film)
x->Chuck Norris
lim0/0= Another*Chuck^Norris-Beats*the*crap+of/everyone *1/sqrt(film)
x->Chuck Norris
| Psycho_X52 wrote: |
| I was taught that maths forbids x/0. You can use it at limits only... |
No, you can't. You cannot use it at limits. The L'Hospital's rule allows you to change those functions into something else so that you can use them.
0 is not a dividable figure. It almost doesnot exit. To quantify this in figures, they have 0 and it cannot be divided with 0 again.
Keep Smiling !!! - Keep Living
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Keep Smiling !!! - Keep Living
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As far as my knowledge goes 0 divided by 0 is infinity. But i could see people giving answers as 0.
NOW CONFUSED AND NOT SURE THOUGH !!!!!!!!
ha ha haaaaaaaaaaa
Keep Smilng - Keep LiVIng....
_________________
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indianinworld
Visit me @ : http://www.sathish.frih.net
NOW CONFUSED AND NOT SURE THOUGH !!!!!!!!
ha ha haaaaaaaaaaa
Keep Smilng - Keep LiVIng....
_________________
as alwayZz - Cheers and Cherish
indianinworld
Visit me @ : http://www.sathish.frih.net
Hmm, I take back my previous post. That l'Hospital's rule is quite interesting although I'm glad I don't have to use it in my chemistry maths course.
thanks heaps for all your ideas. I've managed to decide myself that the answer is 0 for 2 reasons:
if you have no people, and no pieces of cake, and you want to divide the cake evenly among he people, the universe doesn't spontaneously explode because it contains an infinite amount of cake.
let's take a classic example of reversal: 2x3=6, and 6/3=2. therefore if 0x0=0, then 0/0=0.
and there you have it. 0 divided by 0 is 0.
if you have no people, and no pieces of cake, and you want to divide the cake evenly among he people, the universe doesn't spontaneously explode because it contains an infinite amount of cake.
let's take a classic example of reversal: 2x3=6, and 6/3=2. therefore if 0x0=0, then 0/0=0.
and there you have it. 0 divided by 0 is 0.
| MarzEz wrote: |
| thanks heaps for all your ideas. I've managed to decide myself that the answer is 0 for 2 reasons:
:arrow: if you have no people, and no pieces of cake, and you want to divide the cake evenly among he people, the universe doesn't spontaneously explode because it contains an infinite amount of cake. :arrow: let's take a classic example of reversal: 2x3=6, and 6/3=2. therefore if 0x0=0, then 0/0=0. and there you have it. 0 divided by 0 is 0. |
No! I keep saying this. 0/0 is undefined. It is in no way, shape, or form 0! It's undefined! You cannot divide by 0! You can't just "decided yourself" because there is no opinion involved. It is just fact and basic math 101.
yes... it's undefined... which is why i've decided to define it, as 0.
the reason i defined it as 0 can be clearly seen in my previous post.
the reason i defined it as 0 can be clearly seen in my previous post.
| MarzEz wrote: |
| yes... it's undefined... which is why i've decided to define it, as 0.
the reason i defined it as 0 can be clearly seen in my previous post. |
Ok... you define it as 0. Have fun. In the mean time, I'm going to use your "definition" of 0/0 to prove to you that 0=1.
a = b + 1 Given
(a-b)a = (a-b)(b+1)
a^2 - ab = ab + a - b^2 - b
a^2 - ab -a = ab + a -a - b^2 - b
a(a - b - 1) = b(a - b - 1)
a = b
b + 1 = b
Therefore, 1 = 0
How can 1=0? That's completely incorrect! Well if you look at the line that I put in bold, you'll see that I divided both sides by a-b-1. If you look at the given line, you'll see that a = b + 1. Therefore, a - (b + 1) = 0. Using the distributive property, you'll see that a - b - 1 = 0. Therefore, when I divide both sides by a - b - 1, I'm really doing this:
a((a - b - 1)/(a - b - 1)) = b((a - b - 1)/(a - b - 1))
a(0/0) = b(0/0)
So if what you said was correct, I'd get:
0 = 0, which is correct. The math would be all good. But, since 0/0 does not equal 0, you get problems. You cannot divide by 0. When you try, things get all messed up.
that's because a(a - b - 1) is NOT equal to b(a - b - 1)
in the first one, you end up with A x A, A x B and A x 1. in the other one you get B x A, B x B, and B x 1. it's not the same.
in the first one, you end up with A x A, A x B and A x 1. in the other one you get B x A, B x B, and B x 1. it's not the same.
| MarzEz wrote: |
| that's because a(a - b - 1) is NOT equal to b(a - b - 1)
in the first one, you end up with A x A, A x B and A x 1. in the other one you get B x A, B x B, and B x 1. it's not the same. |
That's completely 100% incorrect. a(a - b - 1) IS equal to b(a - b - 1)... unless you're telling me that 0 doesn't equal 0? You seriously need to take a look at this website and learn some basic math. http://www.math.com/homeworkhelp/BasicMath.html
Edit:
Oh, and I just saw the second part of your post...
a^2 - ab -a = ab + a -a - b^2 - b
That is true. Both sides are equal. Everything in that proof is true up until you get a = b (which is the line after you divide both sides by zero.)
| MarzEz wrote: |
| let's take a classic example of reversal: |
If we go by a simple logic then first comes 0 (of the numerator) then the / sign (which represents dividing) then after that comes 0 again which is the denominator. Now lets go step by step about it:-
First is 0 so let us think about 0, what is 0?, is it nothing??, hope so, then we cannot divide nothing by anything, so it means nil or 0.
now lets shift the number scale to left by 1, now the 0 become 1. now same we do to the denominator. then 1 divided by 1 will be 1 as any single thing that is taken as a whole is also single, so the answer is 1.
now same way shift the number scale for numerator to 50 points in left and denominator to 50 points in the right.so the numerator becomes 50 and denominator becomes -50. 50 divided by -50 yields -1.
Likewise I think 0 divided by 0 can give us the results of the whole answer scale, got it everyone??
First is 0 so let us think about 0, what is 0?, is it nothing??, hope so, then we cannot divide nothing by anything, so it means nil or 0.
now lets shift the number scale to left by 1, now the 0 become 1. now same we do to the denominator. then 1 divided by 1 will be 1 as any single thing that is taken as a whole is also single, so the answer is 1.
now same way shift the number scale for numerator to 50 points in left and denominator to 50 points in the right.so the numerator becomes 50 and denominator becomes -50. 50 divided by -50 yields -1.
Likewise I think 0 divided by 0 can give us the results of the whole answer scale, got it everyone??
conventional math just kinda fails when a zero gets in the denominator. all of the workarounds that involve dividing by zero don't actually divide by zero either. they just use numbers...close to zero...
| ankitdatashn wrote: |
|
Likewise I think 0 divided by 0 can give us the results of the whole answer scale, got it everyone?? |
No, it cannot give us results. I keep saying this: you cannot divide by zero. It is undefined!
I had not thought of that till now...???? Very confusing one...!! But in my opinion the answer is undefined....
I checked the same in Microsoft Calculator....The answer for 0/0 comes as "Result of function is undefined"....
So now what you guys say....?????????????? I have no comments....because i am not clear with the answer....!!!!
I checked the same in Microsoft Calculator....The answer for 0/0 comes as "Result of function is undefined"....
So now what you guys say....?????????????? I have no comments....because i am not clear with the answer....!!!!
I believe 0/0 is undefined, and that should be one of the choices for the poll. Think about this: you can't divide 1 apple into 0 pieces. That's just not possible.
Well, you can't divide an apple in 0.5 piece either but still 1/0.5 is defined. Besides, with 0/0 there's not 1 apple but 0.
It is infinity or undefined, whatever you want to call it. I think i can prove this using basic mathematics (i'm doing advanced maths and even i don't get some of the answers), but do correct me if i'm wrong:
If we make 0/0 = x, rearranging this becomes 0 = x0. Now x can be 1 (one zero equals zero), or 2 (two zeroes equals zero) or 3 (you get my point). If we carry this one, x becomes infinity (which i will replace with I). Substituting this into the original equation gives:
0 = I0, which can be rearranged to become 0/0 = I. I is infinity, and so 0/0 equals infinity.
Hopefully this will help to clear up any discrepancies, and i challenge anyone to prove me wrong.
If we make 0/0 = x, rearranging this becomes 0 = x0. Now x can be 1 (one zero equals zero), or 2 (two zeroes equals zero) or 3 (you get my point). If we carry this one, x becomes infinity (which i will replace with I). Substituting this into the original equation gives:
0 = I0, which can be rearranged to become 0/0 = I. I is infinity, and so 0/0 equals infinity.
Hopefully this will help to clear up any discrepancies, and i challenge anyone to prove me wrong.
You proved yourself wrong.
0=1*0 is correct.
And so is 0=2*0.
just like you said.
It is not infinity. It is anything. There's an infinity OF ANSWERS!
0=1*0 is correct.
And so is 0=2*0.
just like you said.
It is not infinity. It is anything. There's an infinity OF ANSWERS!
Ok, so rather than infinity i will say it is undefined.
However from the list of answers infinity would be the best one to choose so....
However from the list of answers infinity would be the best one to choose so....
In purely mathematical terms, the answer is "undefined".
Mathematically, division is defined in terms of multiplication
a/b is the number c such that a = b x c
If a is non zero and b is zero, clearly there is no answer. There is no number c such that a = 0 x c.
However, if a is zero there is an infinite set of answers. i.e. any number c satisfies 0 = 0 x c. The answer is therefore undefined, but in a different way to the way it is undefined if a is non zero.
Mathematically, division is defined in terms of multiplication
a/b is the number c such that a = b x c
If a is non zero and b is zero, clearly there is no answer. There is no number c such that a = 0 x c.
However, if a is zero there is an infinite set of answers. i.e. any number c satisfies 0 = 0 x c. The answer is therefore undefined, but in a different way to the way it is undefined if a is non zero.
Mathematically, zero divided by zero is undefined (actually, anything divided by zero is technically undefined).
For example, take the graph of 1/(x+1). For the limit as x approaches negative 1, 1/(x+1) approaches infinity (1 divided by smaller and smaller increments gets closer and closer to infinity).
When x actually equals negative 1, though, 1/(x+1) is no longer any number that can be defined - there is no "increment" to divide by. Hence anything divided by zero is considered undefined.
For example, take the graph of 1/(x+1). For the limit as x approaches negative 1, 1/(x+1) approaches infinity (1 divided by smaller and smaller increments gets closer and closer to infinity).
When x actually equals negative 1, though, 1/(x+1) is no longer any number that can be defined - there is no "increment" to divide by. Hence anything divided by zero is considered undefined.
Here's my problem with this poll, though I've already chimed in with an answer above:
The authorities on this matter are ALL in agreement concerning the division of 0/0.
0/0 is an Indeterminate Form. That's all there is to it. It's not 0, it's not 1, it's not infinity, and it's not Chuck Norris. Chuck Norris is only one zero.
So, I refer all who do not understand the nature of an indeterminate form, again, to the wikipedia article:
http://en.wikipedia.org/wiki/Indeterminite_form
for an AWESOME lesson in math.
But as to the subjectivity of this poll, there is VERY LITTLE.
An equally subjective poll might go something like:
What's 2+2?
a) 5
b) 3
c) 2
d) Rick Astley.
But now that I've spoken so ill of this poll, I WOULD like to compliment the questioner in asking a question that provokes thought, and educates people. You are awesome.
To the rest of you, say hi to your moms for me...
Until next time,
Love,
Uwe
The authorities on this matter are ALL in agreement concerning the division of 0/0.
0/0 is an Indeterminate Form. That's all there is to it. It's not 0, it's not 1, it's not infinity, and it's not Chuck Norris. Chuck Norris is only one zero.
So, I refer all who do not understand the nature of an indeterminate form, again, to the wikipedia article:
http://en.wikipedia.org/wiki/Indeterminite_form
for an AWESOME lesson in math.
But as to the subjectivity of this poll, there is VERY LITTLE.
An equally subjective poll might go something like:
What's 2+2?
a) 5
b) 3
c) 2
d) Rick Astley.
But now that I've spoken so ill of this poll, I WOULD like to compliment the questioner in asking a question that provokes thought, and educates people. You are awesome.
To the rest of you, say hi to your moms for me...
Until next time,
Love,
Uwe
It's not right to divide that. It just isn't.
Chuck Norris counted to infinty twice.
-Vladalf
Chuck Norris counted to infinty twice.
-Vladalf
You cannot divide anything by zero, so the answer is undefined.
Think of it in primary school terminology: How many groups of nothing are there in nothing?
You can't have a group of nothing. Therefore the group does not exist. Undefined.
Or am I wrong?
=> Jess
You can't have a group of nothing. Therefore the group does not exist. Undefined.
Or am I wrong?
=> Jess
| blackheart wrote: |
| Think of it in primary school terminology: How many groups of nothing are there in nothing?
You can't have a group of nothing. Therefore the group does not exist. Undefined. Or am I wrong? :P => Jess |
You aren't wrong. You are 100% correct.
| Tubbz wrote: |
| Chuck Noris invented God, so he is also the equivalence to 0 divided by 0. |
Who invented god ??
Haha!
Yay for spin-off threads. I was wondering the same thing when I had the thoughts that lead to my x/0=infinity thread...
Yay for spin-off threads. I was wondering the same thing when I had the thoughts that lead to my x/0=infinity thread...
Infinite.
Reminds me of mr mahadwala
Reminds me of mr mahadwala
0 divided by 0 is undefined because of this equation:
0/0 = x/1
X can equal any number and still satisfy that equation by the cross multiplication method.
0/0 = x/1
X can equal any number and still satisfy that equation by the cross multiplication method.
I like to think it's infinity.
Actually, zero divided by zero is not undefined; it's indeterminate. When a math problem is undefined, that means that there is no answer. For example, when you divide 2 by 0, you're essentially trying to determine what multiplied by 0 gives you an answer of 2. There is no number that can do that. On the other hand, zero divided by zero gives you an infinate number of answers, so it's indeterminate.
Here's an example for those of you who understand limits and simple derivatives:
If you want to find the limit of 4x/x as x approaches zero, you will find that setting x equal to zero changes the equation to 0/0, thus giving an inteterminate answer. However, you can use L'Hopital's rule, taking the derivative of both sides to find the limit. Since the derivative of 4x is 4 and that of x is 1, the limit of 4x/x as x approaches zero is actually 4. Similarly, if the original equation was 5x/x or 2x^2/x, the same limit would be 5 or 0, respectively.
So zero divided by zero is indeterminate, not undefined.
Here's an example for those of you who understand limits and simple derivatives:
If you want to find the limit of 4x/x as x approaches zero, you will find that setting x equal to zero changes the equation to 0/0, thus giving an inteterminate answer. However, you can use L'Hopital's rule, taking the derivative of both sides to find the limit. Since the derivative of 4x is 4 and that of x is 1, the limit of 4x/x as x approaches zero is actually 4. Similarly, if the original equation was 5x/x or 2x^2/x, the same limit would be 5 or 0, respectively.
So zero divided by zero is indeterminate, not undefined.
So according to you 0/0 is undetermined, but 2/0 is undefined. However, taking the derivative of 2/0 I get 0/0.
simply... it's impossible to divide zero by zero. it's kind of definitions in math.
| Arnie wrote: |
| So according to you 0/0 is undetermined, but 2/0 is undefined. However, taking the derivative of 2/0 I get 0/0. |
You're right, but I was only taking the derivative of those functions because I was using L'Hopital's rule which can only be used when the limit is 0/0 or infinity/infinity. It doesn't work for any other form. Because of that, the limit of 2/x as x approaches 0 would simply be undefined. You're not allowed to take the derivative in order to change that.
| ThornsOfSorrow wrote: |
| Actually, zero divided by zero is not undefined; it's indeterminate. |
sorta... you're technically correct but but for the purpose of this discussion, it's far easier to say undefined because if you're trying to explain to someone why you can't divide by zero, then they aren't going to understand the difference anyways. It's better to teach algebra before calculus.
I'm going with undefined .
This is a classic case when you learn at school how to deal with limits. Most of the times you can find a solution but in this case you won't find any.
.
This is a classic case when you learn at school how to deal with limits
. Most of the times you can find a solution but in this case you won't find any.According to Microsoft XP's Calculator program, zero divided by zero: "Result of function is undefined."
| Afaceinthematrix wrote: | ||
sorta... you're technically correct but but for the purpose of this discussion, it's far easier to say undefined because if you're trying to explain to someone why you can't divide by zero, then they aren't going to understand the difference anyways. It's better to teach algebra before calculus. |
I completely agree with you, but I just couldn't stay out of the conversation due to the fact that math has always been my favorite subject. However, seeing as I was taught that 0 divided by 0 is undefined until my college professors corrected me, I will hold my tongue from now on.
| ThornsOfSorrow wrote: | ||||
I completely agree with you, but I just couldn't stay out of the conversation due to the fact that math has always been my favorite subject. However, seeing as I was taught that 0 divided by 0 is undefined until my college professors corrected me, I will hold my tongue from now on. |
i understand your desire to stay in the conversation and correct that. i'm working on my math major, so i often have the desire to come in a say something... i didn't learn the difference either until i was a senior in high school.
There was a time that we were taught 5-6 isn't possible and there's no such thing as capital letters.
ANY poll that has an option to answer "Chuck Norris" gets an instant seal of approval.
| Arnie wrote: |
| There was a time that we were taught 5-6 isn't possible and there's no such thing as capital letters. |
Really? I was never taught that. I was never taught that something impossible was possible (except in church).
^He must be referring to some point in elementary school, teaching addition and subtraction before they explained the concept of negative numbers. Perhaps he expects to be taught some day that 0/0 is possible, just as he was taught one day that 5-6 is possible.
Perhaps the problem is that our concept of 0 is a little incomplete. 0 is a special case in so many operations...
Perhaps the problem is that our concept of 0 is a little incomplete. 0 is a special case in so many operations...
It's actually impossible. There is no solution to the equation x ÷ 0, for that matter 0 ÷ 0
You're just trying to be difficult
Yes, x / 0 often has a solution (unless it's 0). Infinity.
| ocalhoun wrote: |
| ^He must be referring to some point in elementary school, teaching addition and subtraction before they explained the concept of negative numbers. Perhaps he expects to be taught some day that 0/0 is possible, just as he was taught one day that 5-6 is possible. |
Still, were you taught sqrt(-1) is impossible? I was. But then in university quantum mechanics kick in...
I would say Chuck Norris because...
well its him..
well its him..
| Quote: |
| infinity, because anyhting divided by 0 is infinity. |
No, anything divided by 0 is undefined.
Ergo, 0/0 does not exist. It is undefined.
Firstly, I like how chuck norris is winning the poll!!!!!!!!!!!!!1
Secondly, how is this for a maths problem?
-1 = -1
-1/1 = 1/-1
sqrt(-1/1) = sqrt(1/-1)
sqrt(-1)/sqrt(1) = sqrt(1)/sqrt(-1)
sqrt(-1)*sqrt(-1) = sqrt(1)*sqrt(1)
-1 = 1
Secondly, how is this for a maths problem?
-1 = -1
-1/1 = 1/-1
sqrt(-1/1) = sqrt(1/-1)
sqrt(-1)/sqrt(1) = sqrt(1)/sqrt(-1)
sqrt(-1)*sqrt(-1) = sqrt(1)*sqrt(1)
-1 = 1
I make it 16.
Well, first off if you have zero of "anything" you have nothing of "it". and two divide nothing of something by nothing means that you did no dividing at all because you had nothing to do anything with like divide in this case. But 1 also makes sense, even though it does not work.
| rvec wrote: | ||||
Well at least php does
|
looooooooooool
dude..technically AND unanimously...its accepted as infinity
| MarzEz wrote: |
| what is 0 divided by 0?
does anyone know? well, technicaly it could be any of the following: 0, because 0 divided by anything is 0.
infinity, because anyhting divided by 0 is infinity.
1, because anything divided by itself is 1.
chuck norris, because he feels like it. http://www.chucknorrisfacts.com/
so, what's your opinion? i personally think it's chuck norris, but my second option is 1. |
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