NCERT Class 10 Mathematics Chapter 1 Real Numbers PDF Download
Chapter Overview
Real Numbers is Chapter 1 of NCERT Class 10 Mathematics and introduces important concepts related to real numbers and their properties. The chapter focuses on Euclid’s Division Lemma and its applications, the Fundamental Theorem of Arithmetic, and the relationship between the prime factorisation of numbers and their highest common factor (HCF) and least common multiple (LCM). Students also learn how to prove the irrationality of numbers and understand important results concerning the decimal expansions of rational numbers.
Important Topics
- Euclid’s Division Lemma
- Euclid’s Division Algorithm
- Applications of Euclid’s Division Lemma
- Fundamental Theorem of Arithmetic
- Prime Factorisation
- HCF and LCM Using Prime Factorisation
- Relationship Between HCF and LCM
- Irrational Numbers
- Proof of Irrationality of √2, √3 and √5
- Decimal Expansions of Rational Numbers
- Terminating Decimal Expansions
- Non-Terminating Recurring Decimal Expansions