Welcome to Chapter 1 Number System at AnnA Classes. This chapter is the foundation of Class 9 Maths and one of the most important chapters for your CBSE board exam. We have broken this chapter into 10 carefully structured lessons so that you learn every concept step by step — from the basics of number types all the way to laws of exponents, rationalisation and full exam practice. Here is everything you will learn in this chapter:
| S.NO | Lesson Title | What it Covers | About |
|---|---|---|---|
| Lesson 1 | Introduction to Number System | Types of numbers — N, W, Z, Q, Q’, R and number line | Students will understand the complete number family, how each set relates to the other and where every number sits on the number line. Foundation lesson for the entire chapter. |
| Lesson 2 | Rational Numbers | Definition, p/q form, decimal expansion, recurring decimals | Students will learn what makes a number rational, how to convert recurring decimals to fractions and identify terminating vs non-terminating decimals. |
| Lesson 3 | Irrational Numbers | Definition, proof that √2 is irrational, examples | Students will understand what irrational numbers are, learn the classic NCERT proof that √2 is irrational and identify irrational numbers confidently. |
| Lesson 4 | Real Numbers and Number Line | Representing √2, √3, √5 on the number line | Students will learn the geometric method to locate irrational numbers on the number line using compass and ruler — a frequently asked CBSE topic. |
| Lesson 5 | Operations on Real Numbers | Adding, subtracting, multiplying surds | Students will apply rules of surds — like surds, unlike surds, product rule and simplification of surd expressions with full examples. |
| Lesson 6 | Rationalisation | Conjugate method, step-by-step examples | Students will learn to eliminate surds from the denominator using the rationalising factor and conjugate method — directly asked in board exams. |
| Lesson 7 | Laws of Exponents | All 7 laws with solved examples | Students will master all laws of exponents including fractional and negative exponents with board-level solved problems. |
| Lesson 8 | Solved Examples | Board-level mixed problems fully solved | Students will go through 15 fully worked examples covering all concepts of the chapter ideal for exam preparation and self-assessment. |
| Lesson 9 | Formula Sheet and Mind Map | Quick revision, download ready | Students get a one-page formula sheet and a visual mind map covering the entire chapter perfect for last minute revision before exams. |
| Lesson 10 | Practice Questions and Chapter Test | MCQs, A/R, Short/Long, PYQ, Mock Test | Students get 50 MCQs, 20 Assertion-Reason questions, short and long answer questions, CBSE PYQs from 2017–2024 and a full 30-mark chapter test. |