NCERT Exemplar Class 8 Maths Chapter 1: Rational Numbers

The first chapter of NCERT Exemplar Solutions for Class 8 Maths focuses on Rational Numbers, which form the backbone of advanced number systems. Students begin by revising the basic definition of rational numbers as numbers expressed in the form of p/q, where p and q are integers and q ≠ 0. The chapter emphasizes important properties such as closure, commutativity, associativity, and distributive laws, helping learners strengthen their foundational knowledge. Through NCERT solutions for Class 8 Maths, students practice identifying rational numbers on a number line, understanding the role of additive and multiplicative identities, and working with reciprocal values.

Another significant part of this chapter covers the representation of rational numbers in standard form. Here, learners understand how to simplify fractions and write them with a positive denominator. The concept of equivalent rational numbers is also introduced, giving clarity on how fractions that look different can represent the same value. The exemplar problems extend these concepts with advanced application-based questions that push students to think beyond the basics. Additionally, the chapter explains finding rational numbers between two given rational numbers, which enhances logical reasoning and number sense. Exercises include solving sums involving addition, subtraction, multiplication, and division of rational numbers, ensuring thorough practice. The NCERT Exemplar Solutions for Class 8 Maths for this chapter are designed to provide step-by-step solutions, making problem-solving easier for students. These solutions also include higher-order thinking problems that prepare learners for competitive exams. Alongside, NCERT solutions for Class 8 Science help students develop a scientific approach, which complements their logical understanding in mathematics. Mastery of this chapter builds confidence for tackling upcoming topics like equations, geometry, and algebra.