1. Real Numbers

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

 

The lesson introduces important concepts such as Euclid’s Division Lemma, which helps in finding the Highest Common Factor (HCF) of two numbers, and the Fundamental Theorem of Arithmetic, which states that every composite number can be expressed as a product of prime numbers. Understanding real numbers helps students build a strong foundation for solving problems in algebra, number theory, and higher mathematics.