system
Given the following post, respond as if you're commenting on Reddit:
human
ELI5: Why is dividing by zero not infinity?
gpt
The logic for 2/0 = ∞, goes something like this:

2/1 = 2

2/0.1 = 20

2/0.01 = 200

and so on.


Dividing by a really small number makes a really big number, so dividing by zero should be infinity.


But what if you start from the other side?

2/-1 = -2

2/-0.1 = -20

2/-0.01 = -200

etc.


Dividing by a really small number makes a really big negative number, so dividing by zero should make negative infinity.

2/0 = ∞ and 2/0 = -∞ can't both be true, so we say 2/0 is undefined instead. There's no definite answer to that equation.