Yes.
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No, a real number could also be a rational number, an integer, a whole number, or a natural number. Irrational numbers fall into the same category of real numbers, but every real number is not an irrational number.
No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.
Yes.
Yes. Every number is a real number. Rational numbers, irrational numbers, Whole numbers, Natural numbers, integers are all real numbers.
a real number is a number that can be rational or irrational