Yes.
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Sometimes. The number '4' is real and rational. The number 'pi' is real but not rational.
Decimals are real. They can be rational or irrational.
No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.
a real number is a number that can be rational or irrational
Yes, a rational number is a real number. A rational number is a number that can be written as the quotient of two integers, a/b, where b does not equal 0. Integers are real numbers. The quotient of two real numbers is always a real number. The terms "rational" and "irrational" apply to the real numbers. There is no corresponding concept for any other types of numbers.