Class 9th Math Exercise No.1.3 Solved | New Book Chapter 1 PDF

Are you searching for Class 9th Math Exercise 1.3 solved with complete step-by-step working? You are in the right place. This guide covers every question of Exercise 1.3 from Chapter 1 of the new 9th class mathematics book, explained in simple English so that Punjab Board, and PCTB students can follow along easily and prepare confidently for their exams.Mostly Students do little practice that create pressure situation when their test session starts ,So they need to get helpful notes in the begning and through proper practice prepare them for test session and exams well before time.

What Is Covered in Class 9 Math Chapter 1 Exercise 1.3?

Chapter 1 of the 9th class mathematics new book introduces Complex Numbers, and Exercise 1.3 builds directly on the basics taught in Exercise 1.1. In this exercise, students practice the four fundamental operations on complex numbers — addition, subtraction, multiplication, and division — along with finding conjugates and multiplicative inverses. These concepts form the foundation for later chapters on quadratic equations and algebraic expressions, which is why mastering this exercise early is so important.

• Addition and subtraction of complex numbers
• Multiplication of complex numbers using distributive rules
• Division of complex numbers using the conjugate method
• Finding the additive and multiplicative inverse of a complex number
• Real-life application problems based on complex numbers

9th Class Math Exercise 1.3 – Syllabus Overview

The table below shows how Exercise 1.3 fits into different boards and mediums across Pakistan so students can quickly confirm they are studying the correct syllabus.

Class 9 Math Exercise 1.3 Question 1 to 9 – Complete Breakdown

Below is a quick reference table that breaks down each question of Exercise 1.3 by topic and difficulty level. This helps students identify which questions need extra practice before attempting the full solved exercise.

Step-by-Step Method to Solve Exercise 1.3

Step 1: Identify the Real and Imaginary Parts

Every complex number is written in the form a + bi, where ‘a’ is the real part and ‘b’ is the imaginary part. Correctly identifying these parts is the first step in solving any question of this exercise.

Step 2: Apply the Correct Operation

For addition and subtraction, combine like terms (real with real, imaginary with imaginary). For multiplication, use the distributive property and remember that i² = -1. For division, multiply both the numerator and denominator by the conjugate of the denominator.

Step 3: Simplify the Final Answer

Always simplify your final answer into the standard a + bi form, and double-check the sign of the imaginary part before writing the final result.

Step 4: Verify With Real-Life Problems

Some questions in Exercise 1.3 apply complex numbers to real-life and engineering-style problems. Reading the question carefully and translating the wording into a mathematical expression is key to solving these correctly.

Class 9th Math Exercise 1.3 – Addition and Subtraction Practice

Some students also search for this exercise under terms like “addition and subtraction” because the very first skill it reinforces — before moving to multiplication and division — is combining real and imaginary parts correctly. Treating this like adding and subtracting simple algebraic terms (grouping real parts together and imaginary parts together) makes the rest of the exercise much easier to follow.

9th Class Math Exercise 1.3 Urdu Medium vs English Medium

The mathematical steps in Exercise 1.3 remain the same for both Urdu medium and English medium students. The only difference is the language used to explain the concepts and question statements. Students following the PCTB new book 2025 syllabus should ensure they are using the updated exercise numbering, since some older guides may still reference the previous syllabus structure.

Why This Solved Exercise Is Useful for Students

• Matches the updated 2025 new book syllabus for Class 9 Math Chapter 1
• Covers every question from Q1 to Q9 with clear working
• Useful for Punjab Board, Federal Board, and PCTB students
• Explains real-life based complex number problems in simple steps
• Helps in quick revision before tests and board exams

Video Resource for Extra Practice

For a complete video walkthrough of a similar exercise structure from Chapter 1, you can also refer to this helpful resource: Exercise 1.3 Class 9th Math Complete Solution | New Book Chapter 1, which follows the same step-by-step problem-solving method used throughout this chapter.

Tips to Score Full Marks in Exercise 1.3

• Memorize the value of i² = -1 and practice it until it becomes automatic
• Always rationalize the denominator using the conjugate for division questions
• Write your final answer strictly in a + bi form
• Practice at least two questions daily from this exercise before moving to Exercise 1.3
• Cross-check your solved answers with a reliable solved guide or teacher

Frequently Asked Questions (FAQs)

1. What is Class 9th Math Exercise 1.3 about?

Exercise 1.3 of Class 9 Math Chapter 1 focuses on the addition, subtraction, multiplication, and division of complex numbers, along with finding their conjugates and multiplicative inverses.

2. Is Exercise 1.3 the same for Punjab Board and Federal Board?

Yes, the core mathematical content is the same across Punjab Board, Federal Board, and PCTB new book syllabus, though question order may vary slightly in some editions.

3. How many questions are there in Class 9 Math Exercise 1.3?

Exercise 1.3 typically contains around 9 questions, ranging from basic simplification to real-life based complex number problems.

4. What is the easiest way to solve division questions in Exercise 1.3?

Multiply both the numerator and denominator by the conjugate of the denominator, then simplify the resulting expression into standard a + bi form.

5. Is Exercise 1.3 important for the board exam?

Yes, Chapter 1 concepts, including Exercise 1.3, are frequently tested in board exams, so understanding this exercise thoroughly is highly recommended.