Eli5 why is a number divided by zero undefined?

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Example I have a pizza I cut it into zero pieces shouldnt it be still one whole pizza?
Since I didn’t cut it so it’s still whole

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Anonymous 0 Comments

If you share a pizza with another person you have a half.

If you eat it alone you have one whole.

Before we share it between zero people let’s first think about what happens if we get closer to cutting it into zero pieces.

What would sharing it between 0.5 people or cutting it into 0.5 pieces mean? It logically follows that now there would be two wholes

The closer you get to dividing to zero the larger the result gets. 1 / 0.1 = 10, 1 / 0.01 = 100 etc

If you continue this logic it’s obvious that dividing anything by 0 is obviously infinite. So it’s undefined because infinity isn’t a real number but more like a concept. It would only be defined if you allow infinity to be used as a result.

But the main problem is that if you follow the same logic from the other direction. If you approach the solution from dividing by negative 1 first. 1 / -0.1 = -10, 1 / -0.01 = -100

So now dividing by 0 is obviously negative infinity. So it has two possible solutions that are equally valid, which means that the solution can’t be defined.

Dividing by 0 results in both positive and negative infinity at the same time, which is why it would cause the universe to collapse if we allowed people to divide by 0

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