Class 9 Maths Exercise 1.2 | Number System | NCERT Simple Solutions

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There are 3 questions and 1 activity in Class 9 Maths Exercise 1.2. The questions and their solutions with examples are explained in easy language.


S.No.Question & Answer
Q1.State whether the following statements are true or false. Justify your answers.
(i) Every irrational number is a real number.
(ii )Every point on the number line is of the form √m, where m is a natural number.
(iii) Every real number is an irrational number.
Ans. (i) True, since the collection of real numbers is made up of rational and irrational numbers.
(ii) False, no negative number can be the square root of any natural number.
(iii) False, for example, 2 is real but not irrational.
Q2.Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.
Ans.No, for example, √4=2, which is a rational number.
Q3.Show how √5 can be represented on the number line.
Ans.√5= √2²+√1²
Refer the below image for explanation
Class 9 Maths Exercise 1.2 Question 3 Solution

Video Explanation

Square Root Spiral

Maths Concepts

To understand maths concepts of Rational numbers, Integers, etc used in NCERT Class 9 Maths Exercise 1.2, please also check the following articles:

  1. What are Rational and Irrational Numbers
  2. What are Natural Numbers
  3. What are Integers
  4. What are Whole Numbers

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