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The definition of a rational number is a number that can be written as the quotient of two integers (and the divisor is not zero).
The definition of an irrational number is a real number that cannot be written as the quotient of two integers (and the divisor is not zero).
A number can either be written as the quotient of two integers or it can't. One or the other.
A number cannot be both rational and irrational.
== == No. The set of rationals and the set of irrationals are disjoint sets.
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Is 0.555555 both rational and irrational rational neither rational nor irrational irrational?
No number can be both rational and irrational. And, at the level that you must be for you to need to ask that question, a number must be either rational or irrational (ie not neither). 0.555555 is rational.
What is a rational number number which is not a rational number?
There is no such thing as a number that is both rational and irrational. By definition, every number is either rational or irrational.
Is a number either rational or irrational but not both?
Yes. A number can be either rational or irrational, but never both; otherwise there would be an inherent contradiction.
Is 0.05 a rational or irrational number?
It is a rational number.
Are real numbers rational and irrational?
The set of real numbers is divided into rational and irrational numbers. The two subsets are disjoint and exhaustive. That is to say, there is no real number which is both rational and irrational. Also, any real number must be rational or irrational.
