The definition of a rational number is any number that can be written as a fraction
with integers (whole numbers) in both the numerator and denominator. Any number
that can't be written that way is irrational.
Here on WikiAnswers, we see many questions that ask "Is the number (xxxxxx) rational ?"
The answer to those questions is always 'yes', because the number is in the
question, and any number that you can completely write down with digits is a
rational number.
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yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.
All irrational numbers are not rational.
Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).
There are infinitely many rational numbers between any two rational numbers. And the cardinality of irrational numbers between any two rational numbers is even greater.
All rational and irrational numbers are real numbers.