No. An irrational number can only be part of a whole number. Every whole number is rational.
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Yes, no irrational numbers are whole numbers.
Integers are whole numbers, therefore they are not irrational
Whole numbers are RATIONAL. That includes negative whole numbers.
Natural numbers = Whole numbers are a subset of integers (not intrgers!) which are a subset of rational numbers. Rational numbers and irrational number, together, comprise real numbers.
2.7 is rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.