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

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- Mar 12th 2019, 04:00 PM #1

- Mar 13th 2019, 05:23 AM #2

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## Re: Zero ÷ Zero = 0...No!

- Mar 18th 2019, 08:21 AM #3

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## 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.

- Mar 18th 2019, 10:21 PM #4

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## 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".

- Mar 19th 2019, 02:06 AM #5

- Mar 20th 2019, 11:12 AM #6

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## Re: Zero ÷ Zero = 0...No!

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.)