what is actually "0" (zero)? why does 0 cannot divided by every number?

Question

What is actually zero number?

Why it can't be divided by every number?

e.g.:

6 / 0 is undetermined.
Why? because 0*0 is not 6. So, what can be done to make that 0 become 6? Why is 0 so misterious?

Answer 1

Zero is a placeholder. If we didnt have zero, we could not tell the difference between 120006 and 126 .

In the strictest sense, zero is not a number. A number is a quantity of something. If you have one gallon, you have something. If you have zero gallons, you have an empty bucket, waiting for some quantity to be placed into it. A place holder.
As you develop an understanding of math, you will realize that zero has an important place as a rational number and as a real number. For now, while you're trying to understand the relationships between the counting numbers, think of zero as a placeholder (and its neither even nor odd, positive nor negative).

Dividing by zero makes no practical sense if you think about it this way. Also, adding Zero, subtracting zero and multiplying by zero makes perfect sense as well.

You're trying to think of zero as a number. For now, Its not a number.

Answer 2

0/0 exists but it is indeterminate. If we divide zero by zero itself, we will find that there can be any numbers, because if we multiply any numbers by zero, it will be zero. Think of a number and try to multiply it with 0. For example, 0*1 = 0, thus 0/0 can be 1. And 0/0 can also be 2, 3, or other numbers because 0*2, 0*3, etc will be 0. Actually, this problem has infinite answers so this problem is indeterminate.

Answer 3

o is 'nothing' represented by a number.

It can be divided by every number except by 0. e.g., 0 /5 = 0, 0/6=0 etc. But nothing can be divided by 0 even 0 cannot be divided by 0.

Suppose 12 bananas are to be equally distributed among four people. we get 12/4 = 3, So each of the four gets 3 bananas. If same 12 bananas are to be equally distributed among 6 people, we get 12/6 =2. so each person gets 2 bananas as his or her share. Thus if the same number is divided by a larger and larger number, the result becomes smaller and smaller. If each one is to take 3 bananas, there would be 4 people to take 12 bananas. If each one is to take 2 bananas, there would be 6 people to take. If each one is given 1/2 bananas, there would be 24 people, and so on. If each one is given 1/6 bananas, there would be 72 people. Proceeding in this manner, if each one is to touch only the bananas, there would be as many people as you wish to take, Yet, the stock of bananas will not be exhausted. So lacking of a definite result and non-reducing stock indicate that there has been no division at all ! Had there been any division, the stock of bananas would have been reduced or exhausted. As this has not happened , we confirm that the division has not taken place despite our best efforts. So, no number can be divided by 0. Extending this argument, 0 is also a number, hence it cannot be divided by 0.
The latter statement can be explained further. We can put 5x0 =0 and 3x0 = 0; so that 5x0 = 3x0. Or, 0/0 = 3/5, or 5/3, or whatever number you choose. Suppose you choose 0/0 = 8/17; well you can arive at it from 8x0 =17x0. Thus 0/0 can take any value arbitrarily; it does not stand for anything definite, Hence 0/0 is impossible.
A great practical utility is derived from the statement. In different cases, 0/0 becomes different and the concept of 'limit' in Calculus is developed from this point. Say y = (x^2 - 9)/(x - 3) . Here y has a definote value for anyreal number x, for x not equal to 3. But suppose x differs from 3 by a small amount p, then put x = 3+p and recalculate y , putting x = 3+p. Value of y is (6p+p^2)/p =6+p, as p is not 0, however small it might have been taken. Now we can safely neglect p in the last expression and we say the limiting value of y is 6 when x is hovering around 3.
Next comes the whole Differential Calculus, Differential Coefficient being the limit of ratio of difference of the dependent variable to the difference of the independent variable, when both are infinitesimally small !
Next comes the whole of Integral Calculus, the reverse processes treated in Differrential Calculus.
Next comes the Integral Calculus starting with integration, which is addition of infinite number of infinitesimaly small numbers.
The two different approaches of integral calculus reveal different aspects of the same process and without all these miracles of 0, perhaps we could not have landed on the moon.

Answer 4

The answer is in the numerator. Multiplying the denominator by the quotient should give the product in the numerator

zero divided by 6 equals zero. Then multiplying 6 times zero gives the produce of zero in the numerator

0/6 = 0

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There is no real number multiplied by the denominator that will give the product of 6 in the numerator. Therefore 6 divided by zero is undefined.

6 / 0

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Answer 5

It's like saying that if 6/0 is undefined because if you check the answer by multiplication it would look like this:
0*0=6
0=6, Not true! You can't because if you times any number by 0, it will always be zero.

I hope this explains why a number can never be divided by zero!

Answer 6

First, zero *IS* a number. In math lingo it is a real number, a rational number, a whole number, an integer, and an even number.

As for division by zero -- it is considered undefined as a result of the definition of the process of division. Trying to define it as anything such as 6/0 = infinity, or 6/0 = 0, will wind up causing problems and false answers in mathematics, it just doesn't work.

Answer 7

zero is the quantity of nothing.

zero it is the null element for addition in real numbers.

6 / 0 is undetermined. : suppose 6 / 0 = Z, then 6 = Z * 0

bu there are no numbers with the property that Z times zeo is something, its always zero.

no mysteries involved

Answer 8

Zero is nothing. You can't just devide a number by nothing. If you really want to question numbers, question (-1)^.5 its also called i, wich is imaginary. Its fake. You can't have (-1)^.5 there is no solution. So, why can you multiply i by i and get a -1. Wich makes no sence a fake number X by a fake number = a real number. I think thats a little more mest up then zero. Well... actually I can see why it works... I'm goin to college to become a math teacher... but at first it is confusing.

Answer 9

0 itself is a very small number and of very negligible amount so for instance, if it is divided by 6, the 0 has to go infinity times to be divided by 6.

I think somewhere in the last part of this infinity, it has some value which is impossible to find out.

See, 6 / 0 = some number beyond infinity that is undetermined.

Answer 10

i think it's because all the numbers came from zero...haha