Question

As all rational numbers and irrational numbers can be represented on the number line, so we call the number line as real number line.

• A. True
• B. False

Answer 1

The correct option is A True

Rational numbers:

The numbers that can be written in the form $\frac{p}{q}$where $p,q$are integers and coprime and $q$≠$0$ are called rational numbers.

Irrational numbers:

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

Explanation:

A rational number is any real number that can be expressed as a simple fraction or ratio. Like the representation of the whole numbers, integers on the number line, the rational numbers can also be represented on the number line.

Irrational numbers cannot be expressed fully as fractions, but they can be visualized on a number line with rational numbers by using approximations.

Now we know that rational and irrational numbers taken together are called real numbers.

Therefore, all rational numbers and irrational numbers can be represented on the number line, so we call the number line a real number line.

Conclusion:

Hence, the given statement is true.