Class 9 CBSE Number Systems - Real Numbers, Irrational Numbers & Exponents

About This Chapter

Build a strong foundation in the number system. Learn about rational and irrational numbers, understand decimal expansions, and master the laws of exponents for real numbers.

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Chapter Sections

1

Introduction

Review of number types.
2

Irrational Numbers

Numbers that cannot be expressed as p/q.

√2, √3Non-terminating
3

Real Numbers & Decimals

Decimal expansions of rational and irrational numbers.

TerminatingRecurring
4

Operations on Real Numbers

Add, subtract, multiply, divide real numbers.

Rationalisation
5

Laws of Exponents

Extend exponent laws to real numbers.

aᵐ × aⁿ = aᵐ⁺ⁿ
6

Exercise 1.1

Practice problems.
7

Exercise 1.2

Practice problems.
8

Exercise 1.3

Practice problems.
9

Exercise 1.4

Practice problems.
10

Exercise 1.5

Practice problems.
11

What Have We Discussed

Chapter summary.
12

Enhanced Curriculum Support

Additional resources.