Real Numbers

This topic introduces the concept of Euclid's Division Lemma, which is used to compute the highest common factor of two given positive integers. We will also learn that the remainder theorem is similar to Euclid's Division Lemma.

In this topic, we will learn that every positive integer, other than 1, is either prime or composite. If a given positive integer is a composite number, it can be written as the product of its prime factors.

This topic covers understanding and solving HCF and LCM problems using the prime factorisation method and the fundamental theorem of arithmetic. This is explained using the aid of solved examples and word problems.

This topic explains the properties of irrational numbers. It also provides the steps to prove that a number is irrational using the Fundamental Theorem of Arithmetic.

This topic explains when the decimal expansion of rational number is terminating and when it is non-terminating or repeating or recurring by using several examples. It also includes a few theorems to prove the same.