NCERT Solutions for Rational Numbers Exercise 1.1 Class 8 Maths

NCERT Solutions for Exercise 1.1 class 8 maths: Class 8 is considered the phase where the basic foundation of the subjects are laid for the higher boards in CBSE. All the subjects, especially Science and Maths in class 8 CBSE, cover several important topics essential to learning the concepts in higher grades. Rational numbers, the first chapter in class 8 Maths, is one of such concepts. 

Though the chapter is about numbers, students might find the concepts in this chapter overwhelming if they do not understand the topics well. However, solving the in-text exercises with the help of Exercise 1.1 Class 8 Maths NCERT solutions can give them a basic idea of what this chapter is about in general. Students can get the pdf option to download the ex 1.1 class 8 solutions for here. So, read on.

NCERT Class 8 Maths Exercise 1.1 Solutions: An Overview

Exercise 1.1 class 8 Maths deals with the introduction to Rational numbers. Obtaining an in-depth knowledge of these concepts is relatively significant as this chapter lays the foundation for several related concepts that you’ll come across in higher classes. Besides, having an understanding of the different types of numbers can help students understand the math problems easily when they move to the higher classes. 

Students can access the solutions to the exercises here or download the class 8 maths chapter 1 exercise 1.1 solution pdf from the link given below. Before moving further, let us see what this chapter includes;

NCERT ex 1.1 Class 8 Solutions: Download

Students who want to grasp the fundamentals of mathematics fully should be familiar with Rational numbers, chapter 1 of the class 8 textbook. They can do so by downloading the pdf offered here, which will help them prepare efficiently for their upcoming term exams. The solutions given on this page have been compiled by highly qualified academic professionals who have excelled in their particular domains of instruction. The solutions for NCERT textbook class 8 maths chapter 1 exercise 1.1 are available in pdf format so that students can download them and use them for later reference.

Solving the in-text exercises with these solutions allows students to grasp the fundamentals and perform well on tests. Furthermore, having a solid foundation of fundamentals will assist them in attempting the more difficult tasks that they’ll encounter in higher grades. Students can download the pdf by clicking on the link below.

Q.5. Find ten rational numbers between -25 and 12.

Solution: Given, rational numbers are -25 and 12.

Here, LCM of 5 and 2 is 10.

So, -25=-25×22=-410 Also, 12=12×55=510 Again, -410=-410×22=-820 and 510=510×22=1020 Hence,

-25=-820 and 12=1020 ∴ Ten rational numbers between -25 and 12 are

-720,-620,-520,-420,-320,-220,-120,0,120,220. Note: There can be numerous rational numbers

between -25 and 12.

Q.6. Find five rational numbers between.

23 and 45

Solution: Given numbers are 23 and 45.

LCM of 3 and 5 is 15.

23=23×55=1015

45=45×33=1215

1015=1015×44=4060 1215=1215×44=4860

Hence, 23=4060 and 45=4860

∴ Five rational numbers between 23 and 45 are 4160,4260,4360,4460,4560. There can be numerous rational

numbers between 23 and 45.

Q.7. Find five rational numbers between.

-32 and 53.

Solution: Given, rational numbers are -32 and 53.

LCM of 2 and 3 is 6.

So, -32=-32×33=-96 and 53=53×22=106 Thus, -32=-96 and 53=106. ∴Five rational numbers between -32 and

53 are -26,-16,0,16,26. There can be numerous rational numbers between -32 and 53.

Q.8. Find five rational numbers between.

14 and 12

Solution: Given rational numbers are 14 and 12.

LCM of 4 and 2 is 4.

So, 14=14×11=14 12=12×22=24 Again, 14=14×88=832 24=24×88=1632 Hence, 14=832 and 12=1632 ∴ Five

rational numbers between 14 and 12 are 932,1032,1132,1232,1332. There can be numerous rational numbers

between 14 and 12.

Click here to download class 8 maths chapter 1 exercise 1.1 solution pdf

Rational Numbers: Chapter Summary

Students must have learnt a lot about numbers and their properties, including the different types of numbers such as natural numbers, whole numbers, integers, and more, in their earlier classes. As an advanced concept, the students will learn about the rational numbers in chapter 1 of the class 8 CBSE textbook. 

Understanding Rational numbers are essential as rational numbers are an essential part of Mathematics. Hence, solving the class 8 maths chapter 1 exercise 1.1 will give the students a fair idea about the first part of chapter 1, i.e., Introduction to the concept. A rational number is defined as a fraction with a non-zero denominator. By simplifying a rational number first, it can be expressed on a number line. The various topics that come under rational numbers such as commutativity, closure, associativity, the role of 1, the role of zero, distributivity of multiplication over addition for rational numbers, negative of a number, reciprocal, representation of rational numbers on the number line, and rational numbers between two rational numbers are all covered in this chapter.

Now, here are some important points to remember from this chapter:

• A number is deemed rational if it can be written in the form of PQ, where p and q are integers, and q is less than zero.
• The rational numbers are closed when doing addition, subtraction, and multiplication operations. 
• The operations of addition and multiplication are associative and commutative in rational numbers.
• Zero (0) is the additive identity for rational numbers, and one (1) is the multiplicative identity.
• We can represent any rational number on a number line. 
• Unlike natural numbers and whole numbers, the number of rational numbers between two other rational numbers is not defined. 

Now, here are the topics covered in each section of the exercises. 

Benefits of Solving Class 8 Maths Solutions

No matter in which class the students are in, solving the NCERT solutions is the best preparation method for the students who are on the CBSE board. Not only does it help the students to score well in the exam, but also it helps them understand the concepts too. It is hard to achieve great results without practicing with the sample exercises, as solving them teaches the students how the theoretical formulas are applied practically. To help understand better, we’ve listed down some of the advantages of solving ex 1.1 class 8. 

1. The NCERT answers are simple to comprehend. Even a student who isn’t particularly good at Maths can figure out how to do an exercise if they work through it. There are no difficult words in these solutions that could cause students to become confused.
2. The questions asked in the CBSE exams are mainly based on the concepts taught in the NCERT textbooks. Because Embibe only provides official solutions, solving class 8 maths exercise 1.1 can help students prepare for the exam. Furthermore, these solutions do not confuse students with extra steps or techniques.
3. Solving class 8 maths NCERT solutions chapter 1 exercise 1.1 provides in-depth knowledge about a topic by providing step-by-step solutions to the in-text NCERT exercises in the Maths textbook. This assists students in resolving their doubts about a subject and, as a result, they learn to solve the problems.
4. NCERT Class 8 maths chapter 1 exercise 1.1 are available for on Embibe. Every child can have access to study materials and sample solutions. Students can access the Embibe website and obtain the NCERT Solutions in pdf format, which they can save for future use.
5. Embibe’s NCERT solutions are created by the best academic professionals with years of experience. Students do not need to be concerned about the accuracy of the answers because the solutions are developed in accordance with the NCERT curriculum.
6. Embibe’s NCERT solutions comprise long-answer questions, MCQs, and short-answer questions. As a result, students will be familiar with a wide range of questions and will find it simple to take a variety of tests.
7. By solving the class 8 maths exercise 1.1, Students will also be prepared for admission tests such as NEET, JEE, BITSAT, and others because all of these entrance tests are based on NCERT textbooks. Because of this reason, solving the exercises will undoubtedly assist students in passing the boards as well as the entrance tests.
8. Students can practice with the 8th standard maths exercise 1.1 answers to improve their logical and problem-solving skills. They will learn the right approach and solution to the questions posed in the major exams by practicing the solutions.

FAQs

Q.1: What are the important topics covered in the NCERT Solutions for Class 8 Maths Chapter 1?

Ans: Some of the important concepts covered in the chapter are given below.

• Properties of Rational Numbers
• Closure
• Commutativity
• Associativity
• The role of zero
• The role of 1
• Negative of a number
• Reciprocal
• Distributivity of multiplication over addition for rational numbers

Q.2: Does Embibe provide solutions for Exercise 1.1 Class 8 Maths?

Ans: Embibe provides precise and extensive answers to all of the questions in the ex 1.1 class 8. NCERT Solutions for Class 8 Maths have been created by our subject specialists to help the students understand the concepts well. In addition, the solutions provide extensive step-by-step explanations of problems from the NCERT Textbook. 

Q.3: From where can I download NCERT Solutions for Class 8 exercise 1.1 Maths Chapter 1?

Ans: Students can download the complete NCERT Solutions for class 8 Maths chapter 1 exercises by clicking on the links provided in this article. 

Q.4: What are Rational numbers?

Ans: Numbers that can be written in the form pq, where p and q are integers and q is less than zero is known as Rational numbers.

Q.5: Is solving the NCERT exercises for Maths sufficient for the exams? 

Ans: Yes. Students who thoroughly practice the NCERT solutions, and learn the concepts well can score well in the exam easily without any other online help. 

We hope this article on NCERT Exercise 1.1 Class 8 Maths Solutions was helpful. If you have any doubts or queries, post them as a comment below, and we will get back to you at the earliest.