Math CentralQuandaries & Queries


Question from Justin, a student:

I was just wondering which is bigger 0/0 or 1/0?

Thanks a lot for all of your help once again in answering all my questions!

I greatly appreciate it!

All the Best,



Neither 0/0 nor 1/0 is a number so to ask which is bigger as a number makes no sense.



For many purposes neither of these is or should be defined.
The expression 1/0 cannot be assigned a value without declaring some other operations to be undefined or not to obey the rules that they do with ordinary numbers. Usually ordering is a good property to give up at this point!

0/0 really cannot be usefully defined as a "number" at all in most situations.


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