NCERT Solutions for class 9 Maths Chapter 1 Exercise 1.2 Number Systems - PDF Download

NCERT solutions for class 9 maths chapter 1 ex 1.2 Number Systems is an exercise intended to increase student’s understanding of irrational numbers. It is well known that a number that cannot be represented as a fraction is referred to as an irrational number. The questions are designed to help students get a better grasp on the concepts of irrational numbers.

In this exercise we cover the concept of  how the number line represents irrational numbers. As these numbers cannot be marked directly on the number line, you  must develop an in-depth understanding of the steps necessary to do so. Class 9 maths chapter 1 ex 1.2 NCERT solutions is composed of four simple questions that assist students in developing a thorough understanding of irrational numbers.

Ex 1.2 class 9 maths solutions available here in free PDF format. These solutions are created by the mathematics expert team of eSaral, which makes them easier for students to understand. 

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Topics Covered in Exercise 1.2 class 9 Mathematics Questions

Irrational numbers are defined in NCERT solutions class 9 maths chapter 1 ex 1.2. These solutions explain the whole topic in detail.

1. Irrational Numbers - A number s is called an irrational number, if it cannot be written in the form p q , where p and q are integers and q ≠ 0. For example, √5, √11, √21, etc. are irrational numbers.

Irrational means that the number does not have a ratio or cannot be written as a ratio. For example, an irrational number can not be represented as a ratio of 2 integers.

The common examples of irrational numbers are π=3⋅14, √2, √3, √5

In mathematics, all irrational numbers are real numbers, which are not rational numbers. This means that an irrational number cannot be expressed as a ratio of two numbers. For example, a square root that is not perfect will always be an irrational number. 

Every real number is represented by a unique point on the number line. Also, every point on the number line represents a unique real number. This is why we call the number line, the real number line

Tips for Solving Exercise 1.2 class 9 chapter 1 Number Systems

NCERT solutions for class 9 maths chapter 1 ex 1.2 Number Systems is an exercise designed to teach students more about irrational numbers.

1. We know that an irrational number is a number that cannot be represented as a fraction. The questions of ex 1.2 are designed to help you understand the concept in-depth.
2. This exercise is all about how irrational numbers can be represented using a number line. As these numbers cannot be identified directly on the number line, you must gain a thorough understanding of the steps involved to achieve the same result.
3. A PDF version of class 9 maths NCERT solutions chapter 1 ex 1.2 is available. Students can check their answers in this pdf.

Importance of Solving Ex 1.2 class 9 Maths chapter 1 Number Systems

Ex 1.2 class 9 maths NCERT solutions provided detailed benefits on solving the questions.

1. By solving the NCERT solution to class 9 maths chapter 1 ex 1.2, students are able to solve any type of real number related questions with ease by understanding the relation between irrational and rational numbers. 
2. NCERT class 9 maths ex 1.2 provides students with an opportunity to gain an understanding of the fundamental concepts of rational and irrational numbers.
3. It contains all the essential questions from the exam perspective.
4. The stepwise solutions provided by our qualified teachers will enable you to achieve good marks in the final exams.

Frequently Asked Questions

Question 1. What is an irrational number in class 9 maths? Give an example.

Answer 1. A number s is called an irrational number, if it cannot be written in the form p q , where p and q are integers and q ≠ 0. For example, √5, √11, √21, etc. are irrational numbers.

Question 2. Is an irrational number a real number?

Answer 2. Irrational numbers can be represented in a real number line, so yes, irrational numbers are real number and not complex numbers.