# Thread: Zero ÷ Zero = 0...No!

1. ## Zero ÷ Zero = 0...No!

Why do elementary school math teachers say, as they did to me back when I was young, that 0/0 = 0?

2. ## Re: Zero ÷ Zero = 0...No! Originally Posted by harpazo Why do elementary school math teachers say, as they did to me back when I was young, that 0/0 = 0?
With all due respect to elementary school teachers, there are not many who have studied mathematics at a high level.

I'm sure though that not all elementary teachers would teach that 0/0=0. Some might because that is what they "learnt" or perhaps misunderstood.

3. ## Re: Zero ÷ Zero = 0...No!

They shouldn't, as division by 0 is undefined.
An elementary school math teacher should be able to relate division to multiplication.

ie. To answer 4/2 = ?, this can be re-written as 2 * ? = 4

Is division by 0 defined? No. If division by 0 were defined,
* 0/0 would have a unique solution but n*0 = 0, and would have a infinite amount of solutions.
* 1/0 would have a unique solution but n*0 = 1 has no solutions.

4. ## Re: Zero ÷ Zero = 0...No!

When I was a college student in math major, my professor joked about why 0 : 0 is undefined, he said, "Now, 0 divided by any number results in 0, but any number divided by itself results in 1, so is 0 ÷ 0 = 0 or 1? Statisticians took them both, and took the mean: The answer is 0.5".

5. ## Re: Zero ÷ Zero = 0...No!

These are the basic thing..But need to tech for who are weak in math...

This is easy 0/0=0 but many students confuse till in BODMAS, If long digit equation appear for him to solve.

6. ## Re: Zero ÷ Zero = 0...No! Originally Posted by alisajoycee These are the basic thing..But need to tech for who are weak in math...

This is easy 0/0=0 but many students confuse till in BODMAS, If long digit equation appear for him to solve.
I have no idea what you are trying to say here! 0/0 is NOT equal to 0 and that has nothing to do with "BODMAS" or "long digit equation".

(Some text books say that "0/0" is "indeterminate" rather than "undefined" to distinguish it from "a/0" with a non-zero. Saying a/0= x is the same as a= 0(x)= 0. If a is not zero, that equation is untrue. If a= 0, so 0= 0(x) the equation is true for any value of x.)