This question already has an answer here:
- Division by $0$ 17 answers
apologize in advance if this is a duplicate, but I found a lot questions related to this but none answering this specific question.
My logic is: let's consider division the opposite of multiplication. So if I have
x / y = z. then that means that z * y = x
i understand that when y = 0 there can be so such z that would make the equation true for x if x is not zero. But if both x AND y = zero, then there is literally an infinite amount of numbers that can be z. e.g
1 * 0 = 0
2 * 0 = 0
3 * 0 = 0
4 * 0 = 0
So again, why is this undefined instead of infinity.
(s/n: after typing out this question i realize it may be my misconception of the true definition of infinity but alas I'm deciding to post this anyway)