Why can't you divide by zero? - TED-Ed?

Dividing by zero is like trying to share nothing among everyone, but no one gets anything.

Imagine you have 6 cookies and you want to split them equally between 2 friends. That’s simple, each friend gets 3 cookies. Now, if you try to split those 6 cookies among zero friends, that means there's no one to get the cookies. So what happens to the cookies? They just stay there, right? No one is getting them, and you can’t say how many cookies each of zero friends gets because there are no friends!

Now think about dividing something by zero in math, it’s like saying you have a number and you're trying to split it among no one. But if there's no one, the idea of splitting doesn't make sense anymore.

If we pretend that dividing by zero is possible, it can cause problems in math, like making everything equal or not defined at all! It’s like saying "all numbers are the same" just because you're trying to share with no one. That doesn’t help us solve anything; it just makes things confusing.

So, we agree that dividing by zero is just not possible, it's a rule we use so math stays fair and clear for everyone!