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A real number is one with no imaginary parts, i.e. one which does not involve i, the square root of -1. Some examples of real numbers are -10, 3/4, sqrt2, e, 2.777... . However, not all of these numbers are rational numbers. A rational number is one which can be expressed in the form a/b, where a and b are integers. So of the examples above, -10, 3/4 , and 2.7777... are rational numbers, as they can be written -10/1, 3/4 and 25/9 respectively. In contrast, Irrational Numbers are those which cannot be expressed in this form, common examples of which are square roots of non-perfect squares, or important constants such as pi or e.
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Which number is an integer a rational number and a real number?
Every integer is also a rational number and a real number.
Is every real number a rational number?
No
What is the relationship of rational numbers and real number?
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.
Is every irrrational number a real number?
Yes every irrational and rational number is a real number.
What numbers can be integers rational and real number?
Every counting number, and the negative of it, are real, rational integers.
