Real Numbers Explained | Euclid’s Division, HCF, LCM & Irrational Numbers | Class 10 Maths

In this video, we provide a 📘 complete and concept-focused explanation of Real Numbers from Class 10 Maths – Chapter 1, strictly based on the NCERT syllabus. This lecture covers Euclid’s Division Algorithm, HCF and LCM, and the concept of irrational numbers, with clear explanations and examples—essential for CBSE board preparation.

📌 Topics Covered:
• Introduction to real numbers
• Euclid’s Division Lemma and Algorithm
• Finding HCF using Euclid’s Division Algorithm
• Relationship between HCF and LCM
• Prime factorisation method
• Meaning of irrational numbers
• Proof-based understanding (basic idea)
• NCERT-based examples and explanations

📝 Exam Tips:
• Euclid’s Division Algorithm is frequently asked in exams
• HCF–LCM relationship questions are scoring
• Steps must be written clearly in algorithm-based questions
• Proof-based questions need proper logic and sequence
• Use NCERT definitions and methods for full marks

📚 Learning Tips:
• Revise basic divisibility rules before starting
• Practice Euclid’s Division questions regularly
• Understand the logic behind irrational numbers
• Solve NCERT examples before exercises for confidence

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