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What happens if you divide 0 by itself? I had an argument with my math teacher about this; she reasons that there could be 2 answers to this question.

- If you divide a number by itself it is always one

- If you divide by 0 it is infinity

The first explanation I believe is illogical since you cannot have nothing divided by nothing giving you 1. I can also not imagine how dividing 0 by 0 can give you an infinite number. What I can understand is, if I have nothing then I divide this into 0 parts I will end up with nothing, because there was nothing in the first place. Which is considered to be correct?

Also, why if we divide a number by 0 we get infinity? I have an object like an apple, I then decide to cut it up into no parts. How could I then have an infinite number of apple pieces? Any help would be much appreciated. Thank you.

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# Dividing 0 by 0

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