1. Real Numbers

Real numbers include all the numbers that can be represented on a number line, such as natural numbers, whole numbers, integers, rational numbers, and irrational numbers. In this chapter, students learn how different types of numbers are related and how they form the complete system of real numbers used in mathematics.

 

The lesson also introduces important concepts like the Euclid’s Division Lemma, which helps in finding the Highest Common Factor (HCF) of two numbers, and the Fundamental Theorem of Arithmetic, which explains that every composite number can be written as a product of prime numbers. Understanding real numbers helps students develop strong mathematical thinking and provides a foundation for solving many problems in algebra and number theory.