Chapter 1 – Real Numbers introduces students to the fundamental concepts of the real number system and builds a strong foundation for higher mathematics. In this chapter, students learn how to find the Highest Common Factor (HCF) and Least Common Multiple (LCM) using the prime factorisation method. They also study the relationship between the HCF and LCM of two positive integers and apply these concepts to solve mathematical and real-life problems.

The chapter also explains rational and irrational numbers, helping students understand their properties and differences. Students learn to prove the irrationality of numbers such as √5 and expressions involving irrational numbers using logical reasoning and mathematical proofs. Another important topic is the decimal expansion of rational numbers, where students determine whether a rational number has a terminating or a non-terminating recurring decimal expansion.

Mastering these concepts strengthens logical thinking, number sense, and problem-solving skills. The knowledge gained in this chapter provides a solid foundation for later topics such as Polynomials, Quadratic Equations, Coordinate Geometry, and Trigonometry. Regular practice of NCERT exercises, solved examples, MCQs, and important questions will help students prepare confidently for the CBSE board examination.

This chapter is highly important for the CBSE Class 10 Board Examination, as questions are regularly asked from topics such as HCF & LCM, irrational numbers, and decimal expansions. A strong understanding of these concepts will also help you in later chapters and competitive examinations.

On this page, you’ll find everything you need to master Chapter 1 in one place, including complete video lessons, detailed study notes, formula sheets, mind maps, NCERT Textbook Solutions, NCERT Exemplar Solutions, Important Questions, Previous Year Questions (PYQs), MCQs, Competency-Based Questions (Assertion & Reason and Case Study Questions), Practice Worksheets, and Sample Papers. These resources are carefully designed according to the latest CBSE syllabus and exam pattern to help you build strong concepts, revise effectively, and prepare confidently for your board examinations.