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NCERT Solutions for Class 8 Maths Chapter 1 Exercise 1.1 Rational Numbers - PDF Download

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NCERT solutions class 8 maths chapter 1 ex 1.1 “Rational Numbers'' focuses on the fundamental concepts of rational numbers. The concepts are broadly based on the verification of properties of rational numbers such as closure, commutativity, associativity etc. and as well as solving expressions based on distributivity of multiplication over addition for rational numbers. 

Class 8 maths chapter 1 exercise 1.1 NCERT solutions consist of a total of 3 questions based on the properties of rational numbers. The NCERT solutions will help the students to practice and learn every single concept because it answers all the questions presented in ex 1.1. Students who want to score well in the maths exam should practice these NCERT solutions prepared by subject experts of eSaral for class 8 maths without fail. Ex 1.1 class 8 maths solutions are available in PDF format on eSaral website. Students can easily download these free PDF and practice all the questions of exercise.

Topics Covered in Exercise 1.1 Class 8 Mathematics Questions

NCERT solutions for class 8 maths chapter 1 ex 1.1 focuses primarily on the basic explanation of properties of rational numbers. The following topics are discussed in the exercise 1.1.


Properties of Rational Numbers

  • Closure

  • Commutativity

  • Associativity

  • The role of Zero (0)

  • The Role of 1

  • Distributivity of Multiplication over Addition for Rational Numbers

 Rational Numbers - Rational numbers are classified as such if they can be expressed as p/q, with p and q being integers (q > 0). These numbers include all natural numbers, whole numbers, and integers. Ex. 1/2, 4/3

  1. Properties of Rational Numbers

  • Closure - In the case of two rational numbers, x and y, the result of adding, subtracting and multiplying operations results in a rational number. We can also see that a rational number is closed under addition, subtraction and multiplication.

            Examples: (7/6)+(2/5) = 47/30

                             (5/6) – (1/3) = 1/2

                             (2/5). (3/7) = 6/3

  • Commutativity - Addition and multiplication is commutative for rational numbers.

                           Commutative law of addition: a+b = b+a

                           Commutative law of multiplication: a×b = b×a

  •  Associativity - Rational numbers have an associative property for addition and multiplication.

Suppose that x, y and z are rational. Then for addition: x+(y+z)=(x+y)+z

For multiplication: x(yz)=(xy)z.

  • The role of Zero (0) - Zero is called the identity for the addition of rational numbers. It is the additive identity for integers and whole numbers as well.

  • The Role of 1 -  1 is the multiplicative identity for rational numbers.

  • Distributivity of Multiplication over Addition for Rational Numbers - This proves that for all integers, p, q, and r 

 p(q + r) = pq + pr

 p(q – r) = pq – pr

You can check the detailed explanation of each topic in NCERT solutions for class 8 chapter 1 Rational Numbers. Link to download the book

Tips for Solving Exercise 1.1 Class 8 Chapter 1 Rational Numbers

eSaral’s experienced teachers of maths provided some important tips for NCERT solutions class 8 maths chapter 1 ex 1.1. 

  1. With some practice and hard work, students will be able to get the hang of this topic pretty quickly. It is good to revise the examples before solving the exercise questions.

  2. In addition, students must be taught the fundamentals of each property and develop a thorough comprehension of how to utilize each of them.

  3. NCERT solutions class 8 maths chapter 1 ex 1.1 is a perfect resource for students to enhance their understanding of rational numbers.

  4. By the end of this exercise, students will have learned how to solve rational numbers and properties.

Importance of Solving Ex 1.1 Class 8 Maths Chapter 1 Rational Numbers

To help students to understand the concepts and properties better, we have listed below some of the benefits of dealing with ex 1.1 class 8.

  1. Solving class 8 maths NCERT solutions chapter 1 ex 1.1 helps students to understand the concepts in detail by solving the exercise questions step by step in the maths textbook. This helps students to overcome their doubts about the topics and solves the problems.

  2. With eSaral’s NCERT solutions, you don’t have to worry about accuracy. Our solutions are developed by top academic experts with decades of experience. Our solutions are aligned with the NCERT curriculum.

  3. In class 8, students can practice with ex 1.1 answers to enhance their logic and problem solving skills. Students will learn the correct method and solution to major questions by practicing the solutions of eSaral.

  4. The PDF is designed in accordance with the exam syllabus to assist students in achieving good marks in exams.

Frequently Asked Questions

Question 1. What are the properties associated with rational numbers?

Answer 1. Properties of rational numbers include closure, commutative, associative, the role of zero, the role of one and distributivity of multiplication over addition for rational numbers properties. To get good marks in class 8 maths, students need to understand these properties.

Question 2. The multiplication of two rational numbers gives?

Answer 2. Multiplication or product of two rational numbers gives you a rational number.