Is 0 rational or irrational?
Answers
0 is rational number............
I think you're confusing some of the language in the definition. The definition says that if a number may be written in a certain way, namely as a fraction in which both numerator and denominator are integers, then it's rational. If it cannot be written this way, then it is irrational. There is nothing in the definition that prevents a rational number from being written as a fraction in other ways, such as having rational or irrational numerator or denominator.
The phrase "Any number which doesn't fulfill the above conditions is irrational" does NOT say "Any number which can be written as a fraction pq with p,q∉Z is irrational". It simply says any number that can not be written pq with p,q∈Z is irrational.
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