Rational
The set of integers is a subset of the set of rational numbers. A rational number can be expressed as the ratio, or fraction of two integers a/b. So 1/2, 2/3, 5/6, 22/7, are all rational numbers. Also 3/1, -5/1, 20/5 are rational numbers, which are also integers.
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It is an integer. All integers are rational but not irrational. All rational and irrational numbers are real numbers.
No integer is an irrational number; all integers are rational.
rational integer whole number
By definition, an irrational number is a number that is not rational, or in other words a number that cannot be expressed as an integer divided by another integer. A number cannot be both "rational" and "not rational."
No. An irrational number is one that is not a rational number. A rational number is once that equals one integer divided by another. So an irrational number cannot be represented by one integer divided by another integer, so it cannot be an integer!