📘 Exercise 1.1
Learn and practice Class 9 Mathematics Exercise 1.1 on Real Numbers with step-by-step solutions. This page includes free downloadable notes and solved examples aligned with the Punjab PECTAA 2025 syllabus.
Quick Links:
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
Exercise 1.1 - Real Numbers
This exercise focuses on identifying rational and irrational numbers, representing numbers on the number line, and understanding properties of real numbers.
Exercise 1.1 provides practice problems that help students distinguish between rational and irrational numbers, understand their decimal representations, and apply various properties of real numbers in mathematical operations.
The exercise covers number line representation using geometric constructions, conversion of recurring decimals to fractions, and identification of mathematical properties used in different operations.
Key Topics Covered
- Identification of rational and irrational numbers
- Geometric construction of irrational numbers on number line
- Conversion of recurring decimals to fractions
- Properties of real numbers (associative, commutative, distributive)
- Properties of inequalities
- Finding rational numbers between given numbers
Important Note:
Remember that rational numbers can be expressed as fractions p/q where p and q are integers and q ≠ 0, while irrational numbers cannot be expressed in this form and have non-terminating, non-repeating decimal expansions.
Created by Hira Science Academy | Aligned with PECTAA 2025 Syllabus