Class 10 · Mathematics · New NCERT
Chapter 1: Real Numbers
Chapter 1 revisits the properties of real numbers built up in earlier classes and extends them with two central results: Euclid's Division Lemma and the Fundamental Theorem of Arithmetic. Together these tools are used to find the HCF and LCM of integers, and to reason about when a rational number has a terminating or a non-terminating repeating decimal expansion.
Topics covered
- Euclid's Division Lemma
- Euclid's Division Algorithm
- The Fundamental Theorem of Arithmetic
- HCF and LCM by prime factorisation
- Revisiting irrational numbers