Chapter Overview: Real Numbers



This chapter deals with real numbers, their properties, and key number theory concepts. Here's what it includes.





1. Euclid’s Division Lemma



Statement: For any two positive integers a and b, there exist unique integers q and r such that:

a = bq + r, where 0 ≤ r < b



Used to find the Highest Common Factor (HCF) of two numbers using the Euclidean Algorithm.





2. Fundamental Theorem of Arithmetic



Every composite number can be expressed uni...