Rational numbers form a proper subset of real numbers. So all rational numbers are real numbers but all real numbers are not rational.
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The set of rational numbers is a subset of the set of real numbers. That means that every rational number is a real number, but not every real number is rational. The square root of 2 is an example of a real number that isn't rational; that is, it can't be expressed as the quotient of two integers.
Not necessarily. All rational numbers are real, not all real numbers are rational.
A real number dosen't have to be a rational number as a real number can be rational or irrational i.e the root of 2 is irrational and real. So is (pi).
A real number which is not a rational number is an irrational number.
Yes. -3 is both rational and real. -3 is an integer. All integers are rational numbers. All rational numbers are real numbers. Thus -3 is a rational number and a real number.