Some Logic equation

All but one truth will one day be proven wrong.

Some people say you can't divide by zero, I ask, what happens to the thing that was supposed to be divided, where does it go ?

It doesn't "go" anywhere. You can't divide by zero in the first place; it has no mathematical meaning to do so.

My teacher says you can't divide a number by zero. Why?

Let's look at some examples of dividing other numbers.

10/2 = 5 This means that if you had ten blocks, you could
separate them into five groups of two.

9/3 = 3 This means that if you had nine blocks, you could
separate them into three groups of three.

5/1 = 5 Five blocks could be separated into five groups
of one.

5/0 = ? Into how many groups of zero could you separate
five blocks?

It doesn't matter how many groups of zero you have, because they would never add up to five since 0+0+0+0+0+0 = 0. You could even have one million groups of zero blocks, and they would still add up to zero. So, it doesn't make sense to divide by zero since there is not a good answer.

If you know a little bit about multiplication, you could look at it this way:

10/2 = 5 This means that 5 x 2 = 10

9/3 = 3 This means that 3 x 3 = 9

5/1 = 5 This means that 5 x 1 = 5

5/0 = ? This would mean that the answer x 0 = 5, but
anything times 0 is always zero.

So there isn't an answer.

- Dr. Margaret

10/2 = 5 This means that if you had ten blocks, you could
separate them into five groups of two.

5/1 = 5 Five blocks could be separated into five groups
of one.

I start out with an empty room that I want to divide into zero equal spaces. I still have an empty room even if it wasn't divided, don't I ?

I can't simply forget the left operand existed, just because there was nowhere to send it.

If it's not possible to divide by zero, why do programming languages have error handlers for when it happens ?

Error handlers are designed to keep the program from crashing in cases the programmer hasn't figured out how to deal with yet.

If the equation exists, there has to be a way to solve it.

zero divided by anything is universally accepted to result in zero. Why does that work, and why can't anything divided by zero result in the original anything being returned ?

0 / 1 = 0
1 / 0 = 1

Error handlers are designed to keep the program from crashing in cases the programmer hasn't figured out how to deal with yet.

If the equation exists, there has to be a way to solve it.

zero divided by anything is universally accepted to result in zero. Why does that work, and why can't anything divided by zero result in the original anything being returned ?

0 / 1 = 0
1 / 0 = 1