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CBSE Class 6 Maths Chapter 6 Integers Revision Notes – Free PDF Download

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.

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

Example: (−7)+(+4)=−3
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) x (+3) = +12
( + )	( – )	( – )	(+4) x (-3) = -12
( – )	( + )	( – )	(-4) x (+3) = -12
( – )	( – )	( + )	(-4) x (-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.

Class 6 Maths Chapter 6 Notes for Revision

Introduction

Integers are the set of all whole numbers that include negative numbers also. As we know that integers can be 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
Negative Numbers

Properties of Integer

Integers have 5 main properties they are:

Closure Property
Associative Property
Commutative Property
Distributive Property
Identity Property

Rules for Addition and Subtraction Operations of Integers

Types of Numbers	Operation Applied	Final Result
( + ) + ( + )	Addition	Positive ( + )
( – ) + ( – )	Addition	Negative ( – )
( – ) + ( + )	Subtraction	Positive ( + )
( + ) + ( – )	Subtraction	Negative ( – )

NCERT Notes of Class 6 Maths Chapter 6- Importance

Revision Notes help you revise, to do better in your exams.
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To ace in your preparation level, SpeEdLabs offers 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.

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CBSE Class 6 Maths Chapter 6 Integers Revision Notes - Free PDF Download class 6 Maths Chapter 6 Integers Maths Chapter 6 Integers notes

Integers: Class 6 Chapter 6 Maths Notes