You guys are overthinking this.
10 divided by 0 is one. Why? Because there is one 0 in 10.
Maths be damned.
10 divided by 0 is one. Why? Because there is one 0 in 10.
Maths be damned.
Poll: Can YOU divide by zero?
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True but again you're going by the old primary school axiom : Do not divide by infinity/0, which you then had developed upon by analyzing mathematical strings and/or equations which yielded some screwed up results to be honest because the very definition of infinity is wrong ( infinity itself isn't possible, it is there just to explain away pitfalls in knowledge, simply put: It's the God of math, we know it's there, hell we can even see it but we can't touch it or grasp it in its wild form, sure you can say a function has a certain set form even when it goes to +/- infinity such as cos or sin but to put it simply: infinity is there to show us the concrete wall of our current level of knowledge, as we advance it moves further away, someday it might even disappear).Eclectic Dreck said:
Your assertion does not make any real sense. We can already deal with math at extrema - that is precisely what Calculus is for. Any integration is simply the limit of a Riemann Sum and quite literally represents the sum of an infinite series. Derivation on the other hand requires us to divide by infinitesimal quantities. Are they perfect? Certainly not. There are still rather famous mathematical statements not differentiable or integrable.Silver1Wolf2 said:
But, even using these extrema in mathematical convention isn't what you seem to describe. When you use the term infinity, it is literally a thing so big that you cannot contain it. This isn't to be confused with something like the cardinality of the natural number set (the set of all whole numbers from one to infinity) as this value is merely transfinite. It is larger than you can count, but still not infinite in the truest sense. That is precisely why 1/0 is undefined: the result has no useful mathematical meaning and as such is not defined.
But, just because something is undefined or indeterminate, doesn't mean they are useless. Why, there are entire theorems based around exploiting the nature of such things (L'hopital's rule for example).
Is there more to learn in mathematics? Certainly. But do I think that one of those things is a non axiomatic definition of indeterminate forms and infinity? Nope. Even the physical laws of the universe seem to break when zero or infinity get involved.
The smaller the number you divide by the bigger the value, so I assume that dividing by zero would equal a really big number, or infinity.
lets say u have an orange:
1) if you want to give it to 2 persons you will have to divide that one orange by two; 1/2=0.5 thus half an orange for each.
2) if you want to keep it to yourself then divide it by one person meaning the whole thing for you; 1/1=1
3) trying to divide the orange by zero will be like trying to share it with nobody (and you cant eat it) in order to divide an orange for a non-existing amount of people the orange must cease to exist and since mass cannot be created or destroyed this is physically impossible to accomplish.
you can divide by a number infinitely close to zero and the result is infinite, however, dividing by an absolute zero is impossible.
1) if you want to give it to 2 persons you will have to divide that one orange by two; 1/2=0.5 thus half an orange for each.
2) if you want to keep it to yourself then divide it by one person meaning the whole thing for you; 1/1=1
3) trying to divide the orange by zero will be like trying to share it with nobody (and you cant eat it) in order to divide an orange for a non-existing amount of people the orange must cease to exist and since mass cannot be created or destroyed this is physically impossible to accomplish.
Cuppa Tetleys said:
you can divide by a number infinitely close to zero and the result is infinite, however, dividing by an absolute zero is impossible.
Yes you can divide by zero, but under one, and only one circumstance. If you attempt to divide any number by zero it doesn't work because of the definition of division itself. Division is the inverse of multiplication. Basically,10/5=2 but it could also be written as 10*(1/5)=2. To prove a division function, you simply need you algebraically rearrange the equation to multiply the solution by the divisor. So, if 10/5=2 then 2*5 must equal 10, in order for the previous equation to be true.
Now, zero is a special case. no number can be divided by 0, because the proof can't exist. 3/0=x therefore x*0=3. Except that anything multiplied by zero equals zero, so that equation doesn't hold. This is true for any number. Whether it be 3,5,19, 15, or 228.153241. Dividing by zero will yield a "does not exist (DNE)" output on higher end calculators or computers. Literally no number can be divided by zero except for one and that is zero itself.
In the case of 0/0, the equation can be arranged to prove it. For instance 0/0=3 and 3*0=0, so the answer could be 3. However, this works for any number. 0/0=5 and 5*0=0 so it could be 5 as well. It works for any number, even those on the complex plan, as 0/0=i so 0*i=0. (I think). So the only number that 0 can be divided by is 0 itself, and the answer is known as an indeterminate form as, someone on here ninja'd me to. Simply put 0/0=The domain of all numbers. It can be anything. This is the only case in which zero can be used as the divisor.
Now, zero is a special case. no number can be divided by 0, because the proof can't exist. 3/0=x therefore x*0=3. Except that anything multiplied by zero equals zero, so that equation doesn't hold. This is true for any number. Whether it be 3,5,19, 15, or 228.153241. Dividing by zero will yield a "does not exist (DNE)" output on higher end calculators or computers. Literally no number can be divided by zero except for one and that is zero itself.
In the case of 0/0, the equation can be arranged to prove it. For instance 0/0=3 and 3*0=0, so the answer could be 3. However, this works for any number. 0/0=5 and 5*0=0 so it could be 5 as well. It works for any number, even those on the complex plan, as 0/0=i so 0*i=0. (I think). So the only number that 0 can be divided by is 0 itself, and the answer is known as an indeterminate form as, someone on here ninja'd me to. Simply put 0/0=The domain of all numbers. It can be anything. This is the only case in which zero can be used as the divisor.
That is not strictly true.Eclectic Dreck said:
Within the context of the Riemann Sphere [http://en.wikipedia.org/wiki/Riemann_sphere], and other such extended number systems, infinity is number and any non-zero number divided by zero is defined to be equal to that infinity.
Saying that 1/0 is outright undefined, just because it happens to be undefined within the real numbers, is no more accurate than saying 1/5 is outright undefined, just because it is undefined within the natural numbers.
You can't. Because Devision is the opposite of Multiplication, and multiplying anything by 0=0. Therefor, you cannot get a number when you divide by 0 because Zero will never give a correct answer.
You can't divide by zero since zero equals nothing.
If I remeber right then this can be proves with for instance 6x0=0 while 6/0=0 since 0 never existed and for it to be 6 it has to be divided by one.
But there is one situation where this is taken out.... don't remeber which.
If I remeber right then this can be proves with for instance 6x0=0 while 6/0=0 since 0 never existed and for it to be 6 it has to be divided by one.
But there is one situation where this is taken out.... don't remeber which.
Anybody who's taken Calculus can divide by zero under the right circumstances. You cheat by saying "it's not really 0" right up until you're done dividing, they you say "k, now it's 0."
Well my calculator gives the solution of x/0 as x/0, which isn't that helpful but then it is set to give symbolic answers. When I ask it to give a nonsymbolic answer it returns the infinity symbol.
My calculator was programmed by people much smarter and much better at math than me, so I presume they know what they're on about.
My calculator was programmed by people much smarter and much better at math than me, so I presume they know what they're on about.
Yeah, if I put 2.0/0 into my calculator it gives the answer as "infinity", literally the word infinity.Darknacht said: