No. The set of real numbers contains an infinitely more Irrational Numbers than rational numbers.
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Every integer is also a rational number and a real number.
No
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.
Yes every irrational and rational number is a real number.
Every counting number, and the negative of it, are real, rational integers.