Question

Rational and irrational numbers taken together are known as __________.

Answer 1

Rational number: Rational numbers are numbers that can be expressed as a fraction. It can be written as $\frac{p}{q}$ where $p,q$are integers and

$q$≠$0.$

For example, $4,-2,0,$ etc. are rational numbers.

Irrational number: The numbers that cannot be written in the form $\frac{p}{q}$where $p,q$are integers and $q$≠$0$ are called an irrational numbers.

For example, $\sqrt{7},\sqrt{5},\pi ,$etc. are irrational numbers.

Real numbers can be defined as the union of both rational and irrational numbers.

They can be both positive and negative and are denoted by the symbol $R.$

Hence, Rational and irrational numbers taken together are known as real numbers.