Class 9 Maths Notes – Real Numbers: Exercise 1.3 (New Syllabus)

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Mathematics in Class 9 lays the foundation for higher studies, and Chapter 1: Real Numbers is one of the most essential topics in the new syllabus (2025). Exercise 1.3 focuses on prime factorization and the Fundamental Theorem of Arithmetic. These concepts not only help in solving board exam questions but also build the groundwork for advanced mathematics in Classes 10, 11, and 12.

Our notes for Exercise 1.3 (New Syllabus) are written in a clear, exam-oriented, and student-friendly way. They include solved examples, short explanations, and step-by-step solutions to make learning easier.

Real Numbers – Exercise 1.3

Class 9 Math Notes

Key Concepts in Exercise 1.3

  1. Prime Numbers & Prime Factorization
    • Breaking down numbers into their prime factors.
    • Examples with step-by-step solutions.
  2. Fundamental Theorem of Arithmetic
    • Statement and detailed explanation.
    • Application in solving HCF (Highest Common Factor) and LCM (Least Common Multiple).
  3. Application-Based Questions
    • Word problems involving HCF and LCM.
    • Real-life applications, such as finding cycles, repetitions, or arrangements.

Why These Notes Are Useful

  • Aligned with New Syllabus: Prepared according to the latest Punjab & Federal Board curriculum.
  • Board Exam Focused: Includes important questions frequently asked in exams.
  • Step-by-Step Explanations: Students can easily understand and solve tricky problems.
  • Concept Clarity: Builds strong basics for algebra and number theory in higher classes.

Study Tips for Exercise 1.3

  1. Memorize prime numbers up to at least 100 for quick factorization.
  2. Practice at least 10–15 questions of HCF and LCM using prime factorization.
  3. Revise the Fundamental Theorem of Arithmetic and practice applying it in word problems.
  4. Create a small formula sheet for quick revision before exams.

Final Words

The Class 9 Maths Notes – Real Numbers, Exercise 1.3 (New Syllabus) provide a student-focused and exam-oriented approach to understanding prime factorization and arithmetic theorems. These notes are written by subject experts to ensure accuracy, clarity, and usefulness for Pakistani students.

By practicing these notes regularly, you’ll be able to handle not only board exam questions with confidence but also competitive tests in the future.

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