Question

There is a ____ number corresponding to every point on the number line.

Answer 1

Rational numbers: The numbers that can be written in the form $\frac{p}{q}$where $p,q$are integers and $q$≠$0$ are called rational numbers. For example, $4,-6,0,$etc. are rational numbers.

Irrational numbers: The numbers that cannot be written in the form $\frac{p}{q}$where $p,q$are integers and $q$≠$0$are called irrational numbers. For example, $\sqrt{7},\sqrt{5},\pi ,$ etc. are irrational numbers.

Real 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 $R.$

For every point on a number line, we choose, there is a number, which is either rational or irrational, to which that point belongs. Since rational and irrational numbers together are known as real numbers, therefore, we can say that every point on the number line is represented by a real number.

Hence, there is a real number corresponding to every point on the number line.