Question

Are rational and irrational numbers real numbers?

Answer 1

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:

`1/2, 5/3, 22/7, -3887/4,etc`

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

`sqrt2, pi, e, -sqrt5,etc`

(note that while `22/7` is an often used approximation for `pi`, `pi` itself can't be expressed as a fraction).