📘 Definitions (Real Numbers)
Learn and understand the Definitions of Chapter 1 – Real Numbers from Class 9 Mathematics with clear explanations and examples. This page provides free downloadable notes covering rational and irrational numbers, surds, radicals, and properties of real numbers according to the Punjab PECTAA 2025 syllabus.
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Chapter 1
Real Numbers
Chapter 2
Logarithms
Chapter 3
Sets and Functions
Chapter 4
Factorization and Algebraic Manipulation
Chapter 5
Linear Equations and Inequalities
Chapter 6
Trigonometry
Chapter 7
Coordinate Geometry
Chapter 8
Logic
Chapter 9
Similar Figures
Chapter 10
Graphs of Functions
Chapter 11
Loci and Construction
Chapter 12
Information Handling
Chapter 13
Probability
Introduction to Real Numbers
The study of real numbers forms the foundation of mathematics. It deals with different types of numbers, their properties, and how they relate to each other.
Real numbers include all the numbers we commonly use in mathematics, from simple counting numbers to complex irrational numbers. Understanding the classification and properties of real numbers is essential for solving mathematical problems and building more advanced mathematical concepts.
This chapter introduces rational numbers, irrational numbers, surds, radicals, and the properties of real numbers. It also explains how to perform operations with different types of numbers and understand their decimal representations.
Key Concepts Covered
- Rational numbers and their properties
- Irrational numbers and their decimal representation
- Radicals and radicands
- Surds and their types
- Properties of real numbers
- Laws of radicals and indices
- Decimal representation of rational numbers
- Operations with real numbers
Important Note:
Every surd is an irrational number, but not every irrational number is a surd. For example, \(\sqrt{\pi}\) is irrational but not a surd.
Created by Hira Science Academy | Aligned with PECTAA 2025 Syllabus