What is Zero divided by Zero?

Question

Never got a satisfactory answer for this. Does it exist?

3/3 is 1, 2/2 is 1. 1/1 is 1.... is the answer 1?

Mind you anything divided by zero is undefined, but zero divided by anything is zero.
I have an honours degree in Mathematics an still don't get it.

Does anybody know? Sequences don't work, calculus don't work.
Will it become the unanswered question?

Anything to the power 0 zero is 1. I know that. I'm not confused.

Or am I

Answer 1

OK well lets take a look at the rules of mathematics:

1. 0 over anything is 0.

2. Anything divided by 0 is inconclusive (meaning it does not exist).

These two rules conflict with one another, creating a paradox. So...the answer in my opinion is that 0/0 is non-existant.

Answer 2

Hi:

I explain it to you the best I know how

First off: division by zero is undefine operation for the following reasons

What is division?

two answers: repeated subtraction or multiplication in reverse

Okay with this out of the way

we know the 20/5 = 4 right

because: { ignore the leading zero here, there for positioning things. This program doesn't put spaces were they should be}

0000000000000 # of subractions
20- 5 = 15 0000000001

15- 5 = 10 0000000002

10-5 = 5 00000000003

5-5 = 0 000000000004


so 20 / 5 = 4

thus we prove that 5*4 =20 because 5+5+5+5= 20 or four five added together equals 20 {Do the math yourself}

okay let 20/ 0

00000000000 # of subractions

20 - 0 = 20 1

20- 0 = 20 2

20 - 0 = 20 3

20- 0 = 20 4

on and on it goes

there is no way the number will get to zero so the number of subtractions will reach infinity or it never ends

and you know that multiplication of any number by zero is zero so the number of solutions is infinite or any number will answer it is because they will always equal zero

So this a undefine operation or infinite # of solutions

there one expectition. However when you are dividing zero by zero you get one because your dividing it by itself: which the mathematical rule of dividing something by itself says it is one

Answer 3

Zero Divided By Zero

Answer 4

Lets consider,

0.00000000000000000001

= 0 (when you round it up)

0.000000000000000000000001

= 0 (when you round it up)

So, the first 0 can be divided by the second zero some how!
But the answer can not be certain, because 0 can be any type of zeros!
Even though Zero means Zero, but behind Zero there is a tiny point or minute value which is far distant, you can't see. So, Zero is not exactly a Zero. That means every type of Zero is different but all of them are Zero when you round it up. So it is Zero as a common number for all Zeros.

Since there is some value behind Zero which is FAR minute!
So 0/0 has some value which is undefined!

Answer 5

Honestly all this kerfuffle over something readily straightforward, division isn't a real function of mathematics it's a shorthand just like multiplication. The only two real functions are adding up and taking away.

In the case of 0/0 the sum could also be re-phrased to how many times can I subtract 0 from 0. And the answer of course is an infinite number of times. The same is true for any number divided by 0. Therefore the answer is infinite not undefined and that's why calculators give an error their displays aren't configured (or big enough) to give an infinite result.

Answer 6

Basically, 0/0 is undefined in the Real Number system as far as Algebra goes..Anything divided by zero is impossible, which goes for any number in the numerator.
In Calculus, any number divided by zero is "infinity"..Zero is neither positive or negative, but it's not really practical to use 0/0 in either branch of mathematics..
In my opinion, this is some sort of anomaly..

However, when u do limits and u have a function, that comes out as 0/0, L'hopital's rule is used till there is no zero in the denominator..

Answer 7

0 / 0 is what is known as "indeterminate."

If you follow one rule (zero divided by anything is zero), you get one answer.
If you follow another rule (division by zero is undefined), you get something else.

Is the answer 0 or undefined? When two rules contradict one another, it's an indeterminate form.

If you want to look at it from another angle, try this:
x = 0 / 0.
To get rid of the fraction, multiply both sides by the denominator. This yields
0 • x = 0.
Solving for x, x can be any real number, because 0 times anything is zero.
Infinitely many answers, not just 0 or "undefined."

0 / 0 is indeterminate.

[Edited to elaborate]
There is a difference between an expression that's "undefined" and one that's "inderminate." An undefined problem is one that has no solutions.
1 / 0 is undefined, because (inversely) no number times 0 is equal to one.
So is 2 / 0, -8 / 0, or any non-zero number divided by zero.

An indeterminate one has more than one possible valid solution.
0 / 0 is indeterminate because of the aforementioned multiple solutions in simplifying. Another example of an indeterminate would be zero raised to the zero power. (Which do you go with, the "zero raised to anything equals zero," or the "anything raised to the zero power equals one?" When two rules contradict by giving different solutions, the expression is indeterminate.

Think of it like this: Something "undefined" means there is no defined answer. Something "indeterminate" means you can't determine the answer... because it is defined in more than one way.

Answer 8

Technically the answer is 1
1÷1=1
2÷2=1
10000÷10000=1 therefore zero divided by zero is one

Answer 9

zero divided by zero is undefined because:

Division by zero is an operation for which you cannot find an answer, so it is disallowed. You can understand why if you think about how division and multiplication are related.
12 divided by 6 is 2 because
6 times 2 is 12

12 divided by 0 is x would mean that
0 times x = 12

But no value would work for x because 0 times any number is 0. So division by zero doesn't work.

- Doctor Robert

Answer 10

This Site Might Help You.

RE:
What is Zero divided by Zero?
Never got a satisfactory answer for this. Does it exist?

Answer 11

Division by zero doesn't exist, at least in practical mathematics.

Remember that multiplication and division are reverse operations of the same property. For example:

We can say that 30 divided by 5 equals 6 because the reverse is also true: 5 times 6 equals 30. We can prove this many different ways logically, and we can also observe it quite easily.

If you were able to say that 30 divided by zero is equal to some number (let's call it Bob), then you would also have to say that Bob times zero equals 30. Of course, that's impossible, because we already know that any number times zero equals zero.

This is why dividing by zero is undefined.