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📘 Chapter 1 – Real Numbers | Class 10 Maths Full Explanation (NCERT Based)
By: Rising High Coaching




⏱️ Timestamps (Topic-wise Explanation)

00:00 – Introduction of Real Numbers
01:10 – What are Real Numbers? (Brief Concept)
02:40 – Types of Numbers (Natural, Whole, Integers, Rational, Irrational)
06:20 – Prime and Composite Numbers
08:05 – Euclid’s Division Lemma (Concept and Statement)
12:15 – Euclid’s Division Algorithm (Step-by-Step Explanation)
15:50 – Examples on Euclid’s Lemma (Practice Questions)
20:30 – Relationship Between HCF and LCM
23:15 – Solving HCF–LCM Problems Using Euclid’s Lemma
26:45 – Fundamental Theorem of Arithmetic (Prime Factorisation Theorem)
30:10 – Examples on Prime Factorisation
33:00 – Proofs Based on Irrational Numbers (√2, √3, √5)
37:20 – Concept of Terminating and Non-Terminating Decimals
41:00 – How to Identify Rational & Irrational Numbers from Decimals
44:30 – Summary and Key Formulas
47:00 – Practice Questions Discussion
50:00 – Homework & Conclusion

What You’ll Learn:

Deep understanding of Real Numbers

Proofs of Irrational Numbers

Euclid’s Division Lemma & Algorithm

HCF–LCM concepts and applications

Decimal expansion & rationality tests