Infinitely rarely, a real number is also a rational number.
(There are an infinite number of rational numbers, but there are a "much bigger infinity" of real numbers.)
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Yes, sometimes although a lot more often it is not.
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.