# NCERT Solutions for Class 6 Maths Chapter 6 Integers (Ex 6.3) Exercise 6.3

## NCERT Solutions for Class 6 Maths Chapter 6 Integers (Ex 6.3) Exercise 6.3

Maths is a  very interesting subject. It has been studied for a very long time. Maths, the science of structure, order, and relationship, was developed as a result of counting, measuring, and describing the shapes of objects. Its subject matter has become increasingly idealised and abstract as it has evolved. It is focused on maths calculation and logical reasoning. Maths has been essential to technology and the physical sciences. It has recently taken on a similar role in the quantitative aspects of the Life Sciences.Extramarks provides the  NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 for better preparation.

It has been the subject of extensive mathematical study throughout history in a variety of civilizations. Archimedes, known as the “Father of Mathematics,” lived in the first century BC. He developed formulas to determine the weight of a solid based on its volume and surface area. Aryabhatt, who was born in 476 CE, is generally hailed as the founder of Indian Mathematics. In the sixth century BC, the Pythagoreans declared Mathematics to be a “demonstrative science.” The word “Mathematics” first arose from the Greek word “mathema,” which meant “material of teaching.”

Modern Maths still makes use of the Axioms, Postulates, Theorems, and Proofs that were created by another mathematician named Euclid.

Each region of the world has its own particular way of retelling the history of Maths, which spans thousands of years.

Many mathematicians have proposed numerous theories for various concepts used in modern Maths. The types of numbers that we use today for calculations were different throughout the Middle Ages. The Romans invented Roman numerals, which use the English alphabet to express numbers.

The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 contain step-by-step solutions for all questions of Exercise 6.3 Class 6 Maths. Students are advised to download the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 in PDF format for easy access.

Maths is an extremely diverse subject. A vast range of specialised topics and fields of study, such as Differential geometry, Fractal geometry, Functional analysis, Singularity theory, etc., are also included in the discipline of Maths. Along with more applicable areas of Maths like Probability Theory and Statistics, there are also the standard fields of Number Theory, Algebra, Geometry, Analysis (Calculus), Mathematical Logic, and Set Theory.

Application of Maths in Real Life: When students can apply what they are learning in class to real-world applications, learning becomes easier and more enjoyable. The following are some real-world applications of maths concepts.

Algebra: Algebraic operations are widely used in computer science. Additionally, it is used for learning physics and chemistry. For instance, algebraic principles are used in the research of crystal symmetry. Calculus is a crucial component of Maths.

Probability and Statistics: Today, businesses all around the world use statistics. Data Science also makes use of statistics. To forecast the incidence of natural disasters or everyday events like traffic, Probability is used in domains like weather forecasting, politics, sales forecasting, and more.

Geometry: In fields like Architecture, Interior Design, Civil Engineering, and Product Manufacture, among others, Geometry is applied.

Logarithms: To make complicated calculations simpler, logarithms are used. Programming languages and memory space computation both employ logarithms.

Mensuration: In daily life, Mensuration is used to measure objects, determine their weight, etc. Mensuration is used, for instance, to calculate the areas of walls and floors. The branch of Maths known as mensuration studies geometrical forms and their attributes, such as length, Volume, Shape, Surface Area, Lateral Surface area, and so forth.

Chapter 6 of Class 6 Maths. It teaches students the basics of Integers. The subject matter taught in this class on integers will be very helpful for students in higher classes as Integers are an integral part of Maths. Chapter 6 of Class 6 Maths is divided into 4 sections.  Given below is a list of the important concepts covered in this chapter. Students are recommended to go through the given list and understand the syllabus covered thoroughly before beginning their preparation.

• Introduction
• Integers
• Subtraction of Integers with the Help of a Number Line

These 4 subjects comprise the entirety of the chapter on Integers, and students can be confident that mastering these topics will help them perform well in tests when they are presented with questions that use integers.

Extramarks provides NCERT solutions for all Class 6 Maths chapters. The NCERT solutions will help students solve all exercise questions for all chapters. The solutions provided are concise and easy to understand. Students can refer to the solutions along with their NCERT textbooks to enhance their Class 6 scores and improve their Maths knowledge.

To solve questions for Chapter 6 Class 6 Maths Exercise 6.3 students can take help from the NCERT solutions offered by Extramarks. The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 can be downloaded from the website and mobile application of Extramarks. The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 will make studying the chapter on Integers easier for students. Students will be able to score high with the help of the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3.

The National Council of Educational Research and Training, or NCERT, was established on May 17, 1956, and it is a division of the Ministry of Human Resource Development. Its main responsibility is to provide textbooks to all of the nation’s primary, secondary, and higher education institutions.

The ministry handles this responsibility, after which the council publishes it. The council publishes new NCERT textbooks each year for use in the nation’s educational institutions’ various classrooms at various levels. Each textbook addresses a specific subject. Thanks to the council, each textbook is updated with the most recent data, making it suitable for Class 6 students today.

Students can therefore find the most recent information for their studies in the NCERT books. The NCERT books have a chapter on “learning by doing” that provides a brief description of the activity for the students to practise understanding the topics.

It’s crucial to complete the assignment and practice exercises provided in the chapter in order to comprehend the topics. The Class 6 students can readily understand the topics thanks to the “learning by doing” chapter. Each chapter of the NCERT books contains crucial details on the course syllabus and prerequisites.

Since they provide a free download option on their website, NCERT books are freely accessible online. Students can quickly get the Class 6 NCERT books from the website, where they can then freely read the NCERT books online. They can also study NCERT textbooks online, which can help them comprehend concepts more quickly. Students can use the easy instructions listed below to download the NCERT books for Class 6 at no cost.

Students must access the NCERT board’s website and select the link for the NCERT books for Class 6. The NCERT books page will open when they click the link. The site offers free downloads of every NCERT book for Class 6.

The NCERT books will benefit students’ education and have proven to be a useful teaching resource. These NCERT books are beneficial. They aid students in grasping the ideas. It aids in their understanding of the subjects they previously struggled with.

These books aid students in expanding their knowledge base. It will aid students in enhancing their level of exam preparation. This will assist them in resolving their questions. Additionally, it will raise the calibre of their performance. Their self-confidence will rise as a result. They will pick up new skills as a result. Additionally, it will improve their memory. As a result, these books are beneficial for various reasons.

The NCERT books are the best educational resources since they were written by subject-matter specialists after extensive research. Additionally, the books cover a wide range of topics, assisting students in better understanding a variety of ideas. The books cover a wide range of subjects in a thorough and easy-to-understand language.

Students can obtain these books from the NCERT website and begin studying them as soon as feasible. These books will benefit students in their learning process and serve as an effective teaching tool. The books are reasonably priced, making them accessible to students.

### Access Other Exercises of Class 6 Maths Chapter 6

 Chapter 6 – Integers Exercises Exercise 6.1 10 Questions & Solutions Exercise 6.2 5 Questions & Solutions

## NCERT Solutions for Class 6 Maths Chapter 6 Integers (Ex 6.3) Exercise 6.3

Chapter 6 of Class 6 Maths is on Integers. To ace Maths, students must practise a lot of questions. Students can practise the questions of Class 6 Chapter 6 Exercise 6.3 from the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3. The  NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 are offered by Extramarks for the benefit of students. Students can download the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 from the website and mobile application of Extramarks. The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 can be downloaded in PDF format for offline access.

With the help of the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 students will be able to solve the Maths Class 6 Chapter 6 exercise 6.3 thoroughly. The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 are written in a stepwise manner for the clarity of students. The  NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 can help students to self-study and enhance their Maths skills.

## Access NCERT Solutions for Class 6 Maths Chapter 6 – Integers

Students can access the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 from the website and mobile application of Extramarks. Students are advised to download the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 in PDF format. The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 will help students to score well in the exams. Students must download the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3  for effective preparation.

## NCERT Solutions for Class 6 Maths Chapter 6 Integers Exercise 6.3

The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 are very useful study resources for students of Class 6. The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 will help students prepare for their exams.  The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 provides clear explanations of the concepts and helps students quickly understand them. Understanding both fundamental and complex ideas is thus made simple. These solutions are easily accessible online through a number of different sources.

Following is a topic-by-topic breakdown of each of the four sections that make up Chapter 6 Class 6 Maths.

Introduction

The Integers Class 6 NCERT chapter begins with an introduction that contains some examples. According to the story, a girl named Sunita wants ten bananas for her picnic, but her mother only has eight of them. As a result, she takes two from her neighbour. In this scenario, it is further explained that Sunita needs to give her neighbour back two bananas. This example, along with a fewothers in this chapter, serves to introduce students to the idea of integers.

Later in this introduction, numerous signs that are associated with numbers are further discussed along with their meanings. Students can use the Class 6 Maths Exercise 6.3 solution offered by Extramarks to efficiently prepare for this chapter.

• Integers

The subject of integers in class 6 is then covered in the second section of this chapter. Students move on to the idea of negative integers in this chapter after learning about the natural number, which they already know about.

The use of diverse figures further aids students’ understanding of various numbers, including whole numbers, natural numbers, negative numbers, and integers. After that, they discover how to use a single line to represent various integers.

The students next learn how to arrange these integers in the proper order based on their values. Students may easily study and grasp these relatively complicated concepts with the help of the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3.

Integer Class 6 addition is a fundamental concept for both exams and everyday life, so students must understand it. They are given an engaging example to learn from in this chapter. There is a boy by the name of Mohan, and there are steps leading up to his home’s terrace and godown. Here, the ground level is zero, the steps leading to the terrace are Positive Integers, and the steps leading to the godown are Negative Integers. By climbing and descending the steps in this manner, they can practise integer counting.To further clarify this idea, more examples using dice, tiles, and buttons are presented. In this section, students also learn how to add Integers using a straight line. Students can solve all the questions related to the addition of Integers from the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3. The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 offer the most precise solutions. The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 are available on the website and mobile application of Extramarks.

• Subtraction of Integers With The Help of A Number Line

Students learn how to subtract Class 6 Maths Integers using a single line after learning how to add. This process can be done in a variety of ways, which are further detailed in this section. Questions related to the subtraction of Integers can be solved with the help of the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3. The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 can be downloaded from the website and mobile application of Extramarks. The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 are available in PDF format.

### Why NCERT Solution For Class 6 Maths Chapter 6 Integers is a Must-Read?

Using the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3, students will get a thorough understanding of all the exercise questions and their solutions. There are various benefits of using the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 :

1. The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 provides simple yet precise solutions for all questions.
2. The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 are easily accessible.
3. The Class 6 Maths Chapter 6 Exercise 6.3 Solution is written according to the latest CBSE guidelines.

Various other tips for students to prepare for Class 6 Maths are:

Mock tests: Students must take mock tests in order to prepare for any examination. Mock tests are an excellent tool to gauge the level of preparation and identify weak areas. Mock tests can teach students how to effectively manage their time. It’s crucial to manage their time throughout tests. Students won’t be able to adequately study the entire syllabus if they don’t manage their time when studying for their exams. Time management is also essential while writing the paper in order to complete it on time. Mock tests help students learn how to manage their time. As a result, mock exams must be administered in an exam-like environment.

Students in Class 6 would benefit from taking mock tests in Maths in order to completely prepare for their term-end exams. Students taking practise examinations should not worry about their scores, but rather review their performance and identify any areas that require improvement. The resources provided by Extramarks can assist students in their analysis and mock exam preparation. Extramarks’ resources are available for download via their website and mobile application.

Students may also take mock exams that are unit-specific. This will guarantee that each chapter receives the same amount of attention. This will ensure that every chapter is thoroughly finished. To prepare for Class 6 Maths Exercise 6.3, students can give mock examinations for chapter 6. They can analyse the mock exams with the help of the  NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3.

Revision:  Students can get revision materials for any topic at Extramarks. It’s crucial to take revision notes when learning Maths for class 6. The secret to effectively preparing for any exam is revision. Students can only recall what they have learned over the year and do well on tests with lots of revision. Those who regularly revise are better equipped to comprehend and remember all the key ideas in any subject. Students develop confidence in their ability to perform well in the tests after several iterations of revision. The revision notes from Extramarks are comprehensive and emphasize the key concepts. They are continually updated and created in accordance with the most recent CBSE standards.

Revision notes for Maths will help students remember all the essential formulas before the exams. To prepare for Class 6 Maths Chapter 6 Exercise 6.3, students must refer to the revision notes and NCERT solutions provided by Extramarks. All the resources provided by Extramarks are available on their website and mobile application. With the help of the resources provided, students will be able to cover the whole syllabus thoroughly. Students can download the  NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 from the website or mobile application.

NCERT Books: The primary source for Class 6 is the NCERT books. NCERT books are recommended by the CBSE, making them crucial for students. Students should complement their preparation with materials from Extramarks in addition to NCERT books. Extramarks’ resources are carefully chosen in accordance with NCERT standards. For Class 6 Maths, Extramarks provides NCERT solutions for every chapter. To prepare for Exercise 6.3, Class 6 students must refer to the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3. The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 will help students enhance their Maths scores.

It is very important that students follow the NCERT guidelines. They should practise all NCERT questions thoroughly. NCERT exercises will help students test their knowledge of the chapters and will allow them to self-examine their preparation. NCERT exercises contain all types of questions with varying difficulty levels. Some questions test students’ theoretical knowledge, while others test their practical understanding of the chapters. Extramarks’ resources will help students solve all types of questions.

Extramarks provides students with all the resources they will need in one place. They will not have to spend any more time searching for the best study resources. With Extramarks, preparation and studying become easier for students. The various resources offered by Extramarks help students of all classes a lot. Moreover, it also provides study resources for Hindi medium students. All the resources offered by Extramarks can be downloaded in PDF format. Students who find Maths difficult must download the NCERT Solutions provided by Extramarks. They can take help from the revision notes to revise important concepts and formulas. Class 6 Maths preparation will become easy with the help of Extramarks resources. The NCERT Class 6 Maths Chapter 6 Exercise 6.3 should be accessed by students for a better understanding of the concepts and ideas mentioned in the chapter.

They can download the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 from the mobile application or website to enhance their preparation for the examination. The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 will guide students to solve all questions in the most precise and easy way possible. They must download the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 in PDF format so that it is easy to access.

Q.1 Find
(a) 35 – (20) (b) 72 – (90)
(c) (– 15) – (– 18) (d) (–20) – (13)
(e) 23 – (– 12) (f) (–32) – (– 40)

Ans.

(a) 35 – 20

= 15

(b) 72 – 90

= –18

(c) (–15) – (–18)

= –15 + 18

= 3

(d) (–20) – (13)

= –20 –13

= –33

(e) 23 – (–12)

= 23 + 12

= 35

(f) (–32) – (–40)

= –32 + 40

= 8

Q.2 Fill in the blanks with >, < or = sign.
(a) (– 3) + (– 6) ______ (– 3) – (– 6)
(b) (– 21) – (– 10) _____ (– 31) + (– 11)
(c) 45 – (– 11) ______ 57 + (– 4)
(d) (– 25) – (– 42) _____ (– 42) – (– 25)

Ans.

(a) (– 3) + (– 6) ______ (– 3) – (– 6)
–3 – 6 ______ –3 + 6
–9 ______ 3
Hence, (– 3) + (– 6) __<___ (– 3) – (– 6)

(b) (– 21) – (– 10) _____ (– 31) + (– 11)
–21 + 10 _____ –31 – 11
–11 _____ –42
Hence, (– 21) – (– 10) __>__ (– 31) + (– 11)

(c) 45 – (– 11) ______ 57 + (– 4)
45 + 11 ____ 57 – 4
56 ____ 53
Hence, 45 – (– 11) __>__ 57 + (– 4)

(d) (– 25) – (– 42) _____ (– 42) – (– 25)
–25 + 42 _____ –42 + 25
17 _____ –17
Hence, (– 25) – (– 42) __>__ (– 42) – (– 25)

Q.3 Fill in the blanks.
(a) (– 8) + _____ = 0
(b) 13 + _____ = 0
(c) 12 + (– 12) = ____
(d) (– 4) + ____ = – 12
(e) ____ – 15 = –10

Ans.

(a) (– 8) + __8___ = 0

(b) 13 + __(–13)_ = 0

(c) 12 + (– 12) = __0__

(d) (– 4) + __(–8)__ = – 12

(e) __5__ – 15 = –10

Q.4 Find
(a) (– 7) – 8 – (– 25)
(b) (– 13) + 32 – 8 – 1
(c) (– 7) + (– 8) + (– 90)
(d) 50 – (– 40) – (– 2)

Ans.

1. (– 7) – 8 – (– 25)

= –7 –8 + 25

=–15 + 25

= 10

1. (– 13) + 32 – 8 – 1

= –13 + 32 – 8 – 1

= –22 + 32

= 10

1. (– 7) + (– 8) + (– 90)

= –7 – 8 – 90

–105

1. 50 – (– 40) – (– 2)

= 50 + 40 + 2

= 92.

## 1. Is Class 6 Maths tough?

It is true that Class 6 has an increased difficulty level in all subjects, but students can make it easier for themselves by studying regularly and practising NCERT exercises. Class 6 Maths must also be prepared in this manner. Students can solve NCERT exercises with the help of resources provided by Extramarks. To solve the questions of Class 6 Maths 6.3, students can take the help of the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3.

## 2. From where can students download the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3?

Students can download the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3  from the website and mobile application of Extramarks. Having access to such resources will help in boosting their performance.

## 3. Can the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 be downloaded in PDF format?

Yes, the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 are available in PDF format. Students are advised to download the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 in PDF format for easy and offline access.

## 4. Will the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 help students to solve mock papers?

Yes, the  NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 will help students in solving the mock examination questions. They can also refer to Extramarks’ past years’ paper solutions to find authentic solutions. They must download the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3  for preparing chapter 6 efficiently.

## 5. Is Extramarks’ study material reliable?

Yes, the study resources provided by Extramarks are reliable and authentic. The study resources provided by Extramarks cover the whole syllabus holistically and can be used by students to prepare for their exams. Further, the study materials are updated regularly according to the latest CBSE guidelines.

## 6. Do the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 contain solutions for all exercise questions of Chapter 6 Class 6 Exercise 6.3 Maths?

The NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 contain solutions for all the questions of Class 6 Chapter 6 Exercise 6.3. Students can visit the website and mobile application of Extramarks.

## 7. Are the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 useful for preparing for competitive exams?

Yes, candidates preparing for various competitive exams can also make use of the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3. They must download the NCERT Solutions Class 6 Maths Chapter 6 Exercise 6.3 in PDF format for easy access.