Question

Every point on the number line corresponds to a ___ number which may be either ___.

• A. Real
• B. Rational or Irrational

Answer 1

A number line is the pictorial representation of the real numbers on a straight line where the numbers can be rational or irrational depending upon their position on the straight line.

A number ‘$r$’ is called a rational number, if it can be written in the form $\frac{p}{q}$, where $p$ and $q$ are integers and $q\ne 0$.

A number ‘$s$’ is called irrational if it cannot be written in the form $\frac{p}{q}$ , where $p$ and $q$ are integers and $q\ne 0$.

Hence, every point on the number line corresponds to a real number which may be either rational or irrational.