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Integers Class 6 Notes CBSE Maths Chapter 6 (Free PDF Download)

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Last updated date: 13th Jul 2024
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Revision Notes for CBSE Class 6 Maths Chapter 6 Integers - Free PDF Download

Free downloadable PDF of CBSE Class 6 Chapter 6 Integers is available 24/7 on our website.

The Maths experts at Vedantu prepared the CBSE Class 6 Maths Revision Notes Chapter 6 Integers to assist students in preparing for their final examination. Each concept is explained clearly in the answers provided by Vedantu, leaving no question unattended. Students can go through these Vedantu Class 6 Maths Revision Notes Chapter 6  Integers to excel with the highest scores in the CBSE Class 6 examination.

You can also register Online for NCERT Class 6 Science tuition on Vedantu.com to score more marks in CBSE board examination. Vedantu is a platform that provides free CBSE Solutions (NCERT) and other study materials for students. Maths Students who are looking for the better solutions ,they can download Class 6 Maths NCERT Solutions to help you to revise complete syllabus and score more marks in your examinations. 

Download CBSE Class 6 Chapter 6 Integers Revision Notes PDF.


CBSE Class 6 Maths Revision Notes

Chapter 1: Knowing Our Numbers Notes

Chapter 8: Decimals Notes

Chapter 2: Whole Numbers Notes

Chapter 9: Data Handling Notes

Chapter 3: Playing With Numbers Notes

Chapter 10: Mensuration Notes

Chapter 4: Basic Geometrical Ideas Notes

Chapter 11: Algebra Notes

Chapter 5: Understanding Elementary Shapes Notes

Chapter 12: Ratio and Proportion Notes

Chapter 6: Integers Notes

Chapter 13: Symmetry Notes

Chapter 7: Fractions Notes

Chapter 14: Practical Geometry Notes

Revision Notes for CBSE Class 6 Maths Chapter 6 - Free PDF Download

Integers:

  • The collection of all the whole numbers and their negatives are called the integers excluding the decimals or fractions. 

  • The positive whole numbers are called the positive integers and the negative whole numbers are called the negative integers.

  • Even in our daily life we come across many examples where we use negative numbers such as for measuring temperature, for denoting the water level or elevation of a place with respect to main sea level, for showing outstanding amounts etc.

Some examples of integers are; \[....-4,-3,-2,-1,0,1,2,3,4....\].


Successors and Predecessors:

A successor for both positive and negative integers can be found out by adding $1$ to it. And similarly, the predecessor can be found out by subtraction $1$ from the given integer.


Addition of Integers:

  • If the integers have the same sign, we simply add them and put the given sign in front.

  1. When we add positive integers, we will get a positive integer. For example, $(+5)+(+8)=+13$.

  2. When we add negative integers, we will get a negative integer. For example, $(-5)+(-8)=-13$.

  • When integers with different signs are added, we subtract them like positive whole numbers without considering their signs and then put the sign of the bigger one in the front which in turn is decided after removing the negative sign from the negative integer given. The two cases have been shown below.

  1. Example: $(-7)+(+4)=-3$

  2. Example: $(+7)+(-4)=+3$


Multiplication of Integers:

The final sign after multiplication of integers is decided based on conventions tabulated below with examples;

Sign of one integer

Sign of another integer

Final sign upon multiplication

Example

$(+)$

$(+)$

$(+)$

$(+4)\times (+3)=+12$

$(+)$

$(-)$

$(-)$

$(+4)\times (-3)=-12$

$(-)$

$(+)$

$(-)$

$(-4)\times (+3)=-12$

$(-)$

$(-)$

$(+)$

$(-4)\times (-3)=+12$


Both addition and multiplication of integers can be shown on the number line by moving towards left from the point of reference for negative integers and towards right for positive integers.


Revision Notes for CBSE Class 6 Maths Chapter 6 - Free PDF Download

Importance of Class 6 Maths Chapter 6 Revision Notes

  • Revision Notes are notes that help you revise, to do better in your exams. 

  • Revision notes on Integers Class 6 prove very important for the students who are working very hard for the whole year. Revision notes are always considered the best as it helps in revising the whole chapter thoroughly and also makes the learning simple and appropriate. 

  • Notes on Integers Class 6 provided by Vedantu help students revise each and every important concept related to Integers in detail.

  • The subject experts at Vedantu have designed Notes on Integers Class 6 as per the latest CBSE syllabus and followed by the NCERT guidelines. 

  • While preparing for upcoming examinations it is very important to have quality study material for revision. 

  • To ace in your preparation level, we at Vedantu offer you the most refined and effective CBSE Chapter 6 Integers revision notes. CBSE revision notes on class 6 Integers will provide you a summary of all the important and relevant topics as well as highlight the significant references from the chapter 6 Integers.


CBSE Class 6 Chapter 6 Integers Revision Notes

1. Introduction 

Integers are the set of all whole numbers that include negative numbers also. As we know that integers can be both positive 1, 2, 3, 4, 5 and negative, i.e, - 5, - 4, - 3, - 2, - 1, they include 0 as well. 

The set of integers are defined as: Z = {- 4, - 3, - 2, - 1, 0, 1, 2, 3, 4}

All integers present to the left of the origin, i.e., zero are negative integers prefixed with a minus (-) sign and all numbers to the right are positive ones prefixed with positive (+) sign.

All integer numbers are basically of three types:

  • Zero

  • Positive Numbers and

  • Negative Numbers

2. Properties of Integers

Integers have 5 main properties they are:

  1. Closure Property

  2. Associative Property

  3. Commutative Property

  4. Distributive Property

  5. Identity Property


3. Rules for Addition and Subtraction Operations of Integers

Types of Numbers

Operation Applied

Final Result

( + ) + ( + )

Addition

Positive ( + )

( - ) + ( - ) 

Addition

Negative ( - ) 

( - ) + ( + )

Subtraction

Positive ( + )

( + ) + ( - )

Subtraction

Negative ( - ) 


Salient Features of Vedantu CBSE Class 6 Maths Chapter 6 Integers Notes

  1. The revision notes contain all the important ideas and concepts of Integers which would have been taught in class 6 and NCERT books.

  2. The revision notes are very easy to understand.

  3. Saving your time

  4. Proper and organized preparation for the exam

  5. Revision notes are collected and extracted from NCERT books and is based as per the CBSE exam standard

  6. You can also find reference illustrations and related diagrams

  7. Vedantu helps you to write the exam with full confidence

  8. Easily do revision over any portion no matter the time or place you are in

Vedantu’s sole motive is to guide students throughout their academic journey.


Why Refer to Vedantu for CBSE Class 6 Maths Notes PDF?

Clear knowledge of basic concepts is a must to note important factors in Mathematics. The focus shouldn’t be on rote learning, instead it should be based on concepts. Therefore, to help you in your CBSE Class 6 Maths, we at Vedantu provide revision notes to answer the questions to CBSE textbooks.  

These answers are written as per the CBSE exam guidelines and are meant to raise the understanding of the subject-matter. Being the important subject, in case you’re seeking for accurate and reliable Class 6 Maths Chapter 6 Integers Revision Notes, you can easily avail that from Vedantu. 

Conclusion 

Vedantu's free PDF notes on CBSE Class 6 Maths Chapter 6, "Integers," are a valuable educational resource for young learners. These notes offer a comprehensive understanding of the world of integers, ensuring that students have access to high-quality study materials that align with the CBSE curriculum. Vedantu's commitment to providing accessible educational content empowers students to delve into the realm of mathematics confidently. These notes facilitate a deeper comprehension of integers, fostering essential mathematical skills and problem-solving abilities. By utilizing these resources, students can enhance their mathematical knowledge, critical thinking skills, and overall academic performance, making them an indispensable asset for math enthusiasts and educators alike.

FAQs on Integers Class 6 Notes CBSE Maths Chapter 6 (Free PDF Download)

1. How Can Class 6 Vedantu’s Revision Notes Help You to Have a Better Preparation Level?

You can use revision notes for a quick revision for exams. Studying from revision notes will help you skip reading those boring chapters again and again. Vedantu Class 6 Chapter 6 Integers Revision Notes play a very important role in self study. You don’t need any coaching or tuition you can just follow the Vedantu study materials which are designed by following the latest syllabus issued by Central Board of Secondary Education.

 

Also, studying from these revision notes will help you in having a better preparation level for your next exam. You can simply refer the revision notes and directly jump to the examination hall.

2. Are Students Allowed to Choose their Tutors as Per their Own Interest?

Vedantu’s classes can enable your children to understand the full concepts from best tutors. These teachers are assigned for helding online classes and they will let you know each and every tidbits concepts and clear your doubts easily. 


In case the student is unsatisfied with the teacher’s learning methods or any other issue, they can change their tutor by providing a valid reason for the cause. 

3. List a Few Ways How Vedantu Can Help Monitor the Student’s Progress?

Certain ways to monitor the student’s progress are:

  1. Connect with the student’s parent

  2. Get involved 

  3. Inspect results of graded quizzes and tests

  4. Foresee how students perform the homeworks

  5. Check on student’s performance rating over a regular basis

  6. Know the results of standardized tests

4. What is the purpose of revision notes for Integers for Class 6 Maths?

“Integers” is a chapter that contains a lot of examples and exercise questions. Students need to practice these questions well. There are certain concepts in the chapter that students may find new. The purpose of revision notes is to assemble all the important concepts and explanations in one place. Students can refer to these notes to go through a concept real quick. Use the  Revision notes Class 6 Maths Chapter 6 Notes available on Vedantu to study more about integers. Also, you can download the Vedantu app to access these solutions. All the study material is available free of cost.

5. What are integers?

Integers are numbers containing all the positive and negative numbers along with 0. So any whole valued (not consisting of any fractional or decimal part) positive or negative number and 0 is termed as an integer. In other words, whole numbers along with negative numbers form integers.

Examples of integers can be -9, -2, 0, 1, 99, etc.

For a detailed explanation on the topic "Integers," refer to Vedantu's Revision Notes for Class 6 Mathematics Chapter 6 "Integers."


6. Is Chapter 6 Integers of Class 6 Maths an easy chapter?

Integers is a fairly straightforward and interesting chapter. It deals with some new concepts of negative numbers along with their addition and subtraction. However, the chapter is not difficult at all. In fact, it is an important chapter from the perspective of examinations. Like any other Mathematics chapter, this chapter demands understanding from the student and lots of practice. Students need to practice the NCERT questions and examples well and they would not have a hard time with this chapter.

7. How do you teach Integers to Class 6?

Class 6 students need to be taught in a fun-filled, engaging yet informative way. Young students need to be fascinated with Integers to concentrate on it. Here are a few tips to make teaching this chapter easy:

  1. Explain the concepts of Chapter 6 well. Use various online tools like conceptual videos, graphics, and animations.

  2. Hands-on activities like integers puzzles, making charts, flashcards, and coloring activities are also helpful.

  3. You can also refer to Vedantu's revision notes for quick revision of the concepts of Chapter 6.

8. What are the concepts in Chapter 6 “Integers” of Class 6 Maths?

"Integers" is an important chapter that introduces Class 6 students to a new concept of negative and positive numbers and their addition and subtraction. The chapter puts forth several new rules related to the addition and subtraction of positive and negative integers.

These concepts are not difficult. Students need to have a clear understanding of these basic principles and they will be able to master this chapter easily. Students can refer to Vedantu's Revision Notes for "Integers" for quick revision and recall of these rules.