Class 9 Maths Chapter 3 – The World of Numbers | Ganita Manjari
Class 9 Maths Chapter 3 – The World of Numbers | Ganita Manjari explores how the number system developed from the basic need to count and gradually expanded to include zero, negative numbers, rational numbers, irrational numbers and real numbers.
The chapter connects mathematical concepts with the historical development of numbers, including the work of Brahmagupta on zero and integers. Students also explore how rational and irrational numbers fit together to form the real number line.
Official NCERT textbooks and educational resources can also be accessed through the NCERT website
Table of Contents
📅 Last Updated: August 2026
📘 Syllabus: Based on the latest CBSE Class 9 (2026–27) syllabus
✅ Updated Resources Include:
- Chapter-wise Study Notes
- Free PDF Downloads
- MCQs
Chapter Overview of Class 9 Maths Chapter 3 – The World of Numbers | Ganita Manjari
| Information | Details |
|---|---|
| Class | 9 |
| Subject | Maths |
| Textbook | Ganita Manjari |
| Chapter | 3 |
| Chapter Title | The World of Numbers |
| Academic Session | 2026–27 |
| Resources | Notes, Worksheets, Questions, Tests & Revision |
📝 What You'll Learn in Class 9 Maths Chapter 3 – The World of Numbers | Ganita Manjari
- 🔢 Understand the need for counting and Natural Numbers.
- 0️⃣ Explore the concept of zero (Śhūnya).
- ➕➖ Understand Integers and operations involving positive and negative numbers.
- 🧮 Apply rules for addition, subtraction, multiplication and division of integers.
- 📍 Represent rational numbers on the number line.
- 🔢 Understand fractions and rational numbers.
- 📏 Find rational numbers between given rational numbers.
- 🌀 Understand irrational numbers and why numbers such as √2 cannot be expressed as a ratio of two integers.
- 🔢 Explore decimal expansions of rational and irrational numbers.
- 🔄 Distinguish between terminating and repeating decimals.
- ♾️ Understand that irrational decimals are non-terminating and non-repeating.
- 📊 Understand how rational and irrational numbers together form the real numbers.
Learning Outcomes of Class 9 Maths Chapter 3 – The World of Numbers | Ganita Manjari
Learning Outcomes of Class 9 Maths Chapter 3 – The World of Numbers | Ganita ManjariAfter completing this chapter, students will be able to:
- Identify and describe Natural Numbers, Integers, Rational Numbers, Irrational Numbers and Real Numbers.
- Explain the role of zero in the number system.
- Perform arithmetic operations with integers using appropriate rules.
- Represent rational numbers on the number line.
- Identify the absolute value of a rational number.
- Recognise rational numbers and understand their properties.
- Explain why irrational numbers cannot be expressed as a ratio of two integers.
- Distinguish between terminating, repeating and non-repeating decimal expansions.
- Understand the relationship between rational, irrational and real numbers.
- Apply number concepts to mathematical and real-life situations.
Key Topics of Class 9 Maths Chapter 3 – The World of Numbers | Ganita Manjari
Key Topics of Class 9 Maths Chapter 3 – The World of Numbers | Ganita Manjari- The Human Need to Count
- Natural Numbers
- The Concept of Zero (Śhūnya)
- Integers
- Arithmetic of Integers
- Fractions and Rational Numbers
- Rational Numbers on the Number Line
- Absolute Value of Rational Numbers
- Irrational Numbers
- Proof of Irrationality of √2
- Real Numbers
- Decimal Expansions
- Terminating and Repeating Decimals
- Irrational Decimals
- Cyclic Numbers
- Rational and Irrational Numbers on the Real Number Line
The chapter summary specifically describes Natural Numbers, Integers, Rational Numbers, Irrational Numbers and Real Numbers as progressively expanding number systems.
⭐ Class 9 Maths Ganita Manjari Chapter 3 Study Resources
📌 Important Questions
Most important questions to prepare for exams and chapter revision.
🧮 Formula Sheet
All important formulas, identities and key results for quick revision and exam preparation.
📐 Important Diagrams
Clear, labelled diagrams and visual figures for quick understanding and revision.
🎁 Free Class 9 Ganita Manjari Chapter 3 Worksheets
Free printable worksheet based on Ganita Manjari Chapter 3 – The World of Numbers.
Class 9 Maths Chapter 3 – Ganita Manjari Exercise Solutions
Practise the questions from NCERT Exercise Solutions chapter 3 Ganita Manjari and check your answers with our step-by-step solutions.
Why Students Choose Our Class 9 Maths Resources?
2026–27 Focused
Printable PDFs
Original Practice
Chapter-Wise Resources
Mobile Friendly
Answer Keys
❓FAQ
Q1. What textbook is used for Class 9 maths in 2026–27?
The new NCERT Ganita Manjari textbook is used for Class 9 Maths for the 2026–27 academic session.
Q2. Which chapter is this page about?
This page is about Chapter 3 – The World of Numbers from Ganita Manjari.
Q3. Are these NCERT textbook copies?
No. The study resources and practice materials on this page are supplementary resources created to support students’ learning. The NCERT textbook itself is not reproduced here.
Q4. Are the worksheets free?
Explain which resources are free and which may be available as complete practice resources.
Q5. Are answer keys included?
Explain depending on the particular resource.
Q6. Are these resources suitable for school revision?
Yes.
Q7. Will more Chapter 3 resources be added?
More Class 9 Maths Chapter 3 resources may be added in the future to provide additional practice and revision support.
Q8. How many exercise sets are there in Chapter 3?
Chapter 3 has five exercise sets, EX 3.1 to EX 3.5, followed by the End-of-Chapter Exercises.
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