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Is every real number is rational?
No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.
Is every Real number an irrational number?
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.
Is every real number a counting number?
No. 3.6427 is real and rational, but not a counting number.
Does every point on the real number line correspond to a rational number?
No. There are several real numbers that are not rational (e.g. pi). However, every rational number is also a real number. In general, whole numbers/natural numbers is a subset of the integers (i.e. every whole number is an integer), the integers is a subset of the rationals, the rationals are a subset of the real numbers. I think the real numbers are a subset of the complex numbers, but I'm not 100% positive on that.
Is every real number either a rational number or an irrational number?
Yes.
