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Number System Class 9 all Exercise​s NCERT Solutions

Class 9 Chapter 1 Number System explains the basics of real numbers, rational and irrational numbers. Know about the exercises and sub topics included in it for better exam preparation.
authorImageNeha Tanna19 Nov, 2025
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NCERT Solutions for Class 9 Maths Chapter 1

Chapter 1 Number System Class 9 forms the base of all higher mathematics. It is important for students to understand the basic concepts such as rational numbers, irrational numbers, real numbers, and their properties.

These Class 9 NCERT Solutions are written in simple language so every student can learn the chapter easily. Step-by-step explanations help you understand each concept, revise faster, and score well in exams.

What is Number System?

A number system is a way of representing numbers. It helps us write and work with different types of numbers in mathematics.

Number System in Maths for Class 9 includes various concepts such as: 

  1. Natural Numbers (N)

Numbers used for counting. Example: 1, 2, 3, 4…

  1. Whole Numbers (W)

Natural numbers + 0. Example: 0, 1, 2, 3…

  1. Integers (Z)

Whole numbers + negative numbers. Example: … -3, -2, -1, 0, 1, 2…

  1. Rational Numbers (Q)

Numbers written in the form p/q, where q ≠ 0. Example: 1/2, -3/5, 4

  1. Irrational Numbers

Numbers that cannot be written as fractions. Example: √2, π, √5

  1. Real Numbers (R)

All rational + all irrational numbers together

Understanding these types of numbers helps you solve questions based on decimal expansions, number line representation, and operations on real numbers.

Number System Chapter 1 Class 9 Exercise-wise Links

The Number System Class 9 chapter has three main exercises. Students can easily open the required exercise and check clear, step-by-step answers. These links make practice faster and help strengthen understanding of the number system in maths for class 9, including rational numbers, irrational numbers, and decimal expansions. . The table below gives quick access to all Number System Class 9 NCERT exercise solutions. 

NCERT Solutions for Class 9 Maths Chapter 1 Exercise-wise Links

Number System Class 9 Exercise 1.1

Number System Class 9 Exercise 1.2

Number System Class 9 Exercise 1.3

Number System Class 9 Exercise 1.4

Number System Class 9 Exercise 1.5 

How to Prepare Class 9 Chapter 1 Using NCERT Solutions?

To prepare Chapter 1 Number System Class 9 effectively, it is important to understand the concepts clearly first and then practise all questions regularly. NCERT Solutions make this process simple by giving correct methods and easy explanations.

  1. Before solving the exercises, learn what natural numbers, whole numbers, integers, rational numbers, and irrational numbers mean. If these basics are clear, the rest of the chapter becomes much easier.

  2. The chapter is designed in a step-by-step order. Number System Class 9 exercise 1.1 introduces basic number types. Number System Class 9 exercise 1.2 explains irrational numbers and real numbers. Number System Class 9 exercise 1.3 teaches decimal expansions.

  3. NCERT Solutions should not be used for copying answers. First solve the question on your own. If you get stuck, then look at the solution to understand the correct method. This builds your problem-solving skills and improves confidence.

  4. NCERT questions are important, but exam papers often include similar or slightly tricky questions. Solving Number System Class 9 extra questions improves speed, accuracy, and your ability to handle new types of problems.

  5. The PDF helps in revision before tests. It includes key formulas, definitions, solved examples, and exercise solutions. Reading it before a test helps you remember everything clearly.

Number System ONE SHOT Full Chapter Class 9th Maths Youtube Vedio

 

NCERT Solutions for Class 9 Maths Chapter 1 FAQs

What is the number system in Maths for Class 9?

It is the system that includes different types of numbers like natural numbers, integers, rational numbers, irrational numbers, and real numbers.

Where can I find Number System Class 9 all exercise solutions?

You can get solutions for exercise 1.1, 1.2, and 1.3 along with number system class 9 extra questions.

Is the Number System Class 9 chapter important for exams?

Yes, it is very important and forms the base for chapters in Class 10 and higher classes.

How does the Number System Class 9 PDF help in preparation?

The PDF helps in quick revision of definitions, solved examples, and repeated exam questions.

Are irrational numbers also real numbers?

Yes, irrational numbers are a part of real numbers.
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