# Are rational and irrational numbers real numbers?

Yes.

#### Explanation:

Real numbers are often explained to be all the numbers on a number line.

Consider that there are two basic types of numbers on the number line. There are those which we can express as a fraction of two integers, the Rational Numbers , such as:

$\frac{1}{2} , \frac{5}{3} , \frac{22}{7} , - \frac{3887}{4} , e t c$

and those which we can't express as a fraction, the Irrational Numbers :

$\sqrt{2} , \pi , e , - \sqrt{5} , e t c$

(note that while $\frac{22}{7}$ is an often used approximation for $\pi$, $\pi$ itself can't be expressed as a fraction).