No. Any integer is RATIONAL, since it is equivalent to the fraction INTEGER/1. For example, the integer -5 can be written as -5/1.
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Integers are whole numbers, therefore they are not irrational
No. Prime numbers are positive integers, and integers are not irrational.
A number that cannot be expressed as a quotient of two integers is called an irrational number. Some common irrational numbers are pi (3.14159....) and the square root of two.
Because that is the definition of irrational numbers: They are the numbers that cannot be written as a ratio of two integers! A fraction is a ratio of two integers.
Any of the numbers which cannot be expressed as a ratio of two integers is irrational.