There are rational numbers and Irrational Numbers. Real numbers are DEFINED as the union of the set of all rational numbers and the set of all irrational numbers. Consequently, all rationals, by definition, must be real numbers.
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No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.
No. 3.6427 is real and rational, but not a counting number.
Yes.
Yes.
Yes.