I've had a very interesting day. Kind of like the weather outside my house: it's raining, but the sun is shining. I've had some of the worst luck, like setting off my car alarm in the school parking lot WHILE I'm IN the car. It's been one hell of a day. But anyway, back to the purpose of this post.

I believe that I've come up with a rationale to divide a number into 0 parts. It goes a bit like this:

Using 1/0 as an example, most would say it is undefined, right? But most middle school teachers teach the process of dividing by a fraction as: When you divide by a fraction you are multiplying by its reciprocal. So in using that logic, 1/2 is equivalent to dividing 1 by 2/1 and multiplying by 1/2. And with 0, any number in the denominator INCLUDING 0 makes the resultant also 0. So in theory, 0/0 is 0.

Now, using 1/0 as the example, the expression is the same as putting 1 as the numerator and 0/0 as the denominator. Which is the same as saying 1 times 0. Which is zero. So my thesis is that any real number over 0 has to be equal to zero since in essence you are multiplying by zero.

One may try to disprove this by saying that the zero in the denominator could be equal to any number of fractions, 0/1 and 0/10 being examples, but the fact of the matter is that the order of operations and path of logic involving that would only lead to a circle in reasoning, because if you divided 1 by 0/1, thereby multiplying 1 by 1/0, you would still get 1/0, and so on.

I don't see any flaw in my logic. I'm sure there are holes but this is only tested in my mind, not on paper.

--Ordered Chaos