# CBSE Class 6 Maths Revision Notes Chapter 2 - Whole Numbers

## Revision Notes for CBSE Class 6 Maths Chapter 2 - Free PDF Download

CBSE Class 6 Maths Revision Notes Chapter 2 Whole Number provided by Vedantu will help students in understanding the core parts of this chapter. It will help them to prepare well for the exam. These revision notes will also help them to understand the types of sums from the examination point of view. In addition to that, the important questions from this chapter are covered in these notes so that students can master the topics easily. Download the Whole Number Class 6 notes PDF to understand and practice the concepts of this chapter in a better way.

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## Access Class 6 Mathematics Chapter 2 – Whole Numbers Notes

• Counting numbers are called natural numbers

• $1,2,3,4,5..........$ are natural numbers

• Predecessor: A number that is obtained by subtracting $1$ from a given number is called the predecessor of the given number.

• Successor: A Number which is obtained by adding $1$ from a given number is called the successor of the given number.

### Whole Numbers

• On adding the predecessor of $1$ i.e., $0$ in the queue of natural number then it’s called the whole number

• $0,1,2,3,4,5.......$ are whole numbers

• All whole numbers are natural numbers but all natural numbers are not whole numbers.

### The Number Line

• The whole numbers are shown on the number line as shown below

• The number line shows that the number on the right side of other number is the greater number

• The number line shows that the number on the left side of the other number is the smaller number

• Suppose $a+b$ is to be found from the number line then mark $a$ on the number line then move $b$ unit towards the right of $a$

• For example: Addition of $2$ and $3$

Move $3$ units towards the right of $2$ we will get $5$

Subtracting on the Number Line:

• Suppose $a-b$ is to be found from number line then mark $a$ on number line then move $b$ unit towards left of $a$

• For example: Subtraction of  $5$and $3$

Move $3$ units towards the left of $5$ we will get $2$

### Properties of the Whole Number

1. Closure Property

• The whole numbers are closed under addition means the sum of two whole numbers is always a whole number

• For Example: $5$ and $8$ are whole numbers and their sum $13$ is also a whole number

• The whole numbers are also closed under multiplication means the multiplication of two whole numbers is always a whole number

• For Example: $5$ and $8$ are whole numbers and their multiplication $40$ is also a whole number

1. Commutative Property

• Whole numbers are commutative under addition means they can be added in any order the result will be same

• For Example: $4+2=6$ and $2+4=6$

• Whole numbers are also commutative under multiplication means they can be multiplied in any order the result will be the same

• For Example: $5\times 3=15$ and $3\times 5=15$

1. Associative Property

• Whole numbers are associative under addition means rearranging the whole number in parenthesis and then adding will not affect the answer

• For Example:

$\left( 12+5 \right)+6$

$=17+6$

$=23$

And

$12+\left( 5+6 \right)$

$=12+11$

$=23$

• Whole numbers are associative under multiplication means rearranging the whole number in parenthesis and then multiplying will not affect the answer

• For Example:

$\left( 2\times 5 \right)\times 3$

$=10\times 3$

$=30$

And

$2\times \left( 5\times 3 \right)$

$=2\times 15$

$=30$

1. Distributivity of Multiplication Over Addition

• When a whole number is multiplied to the sum of whole number then distributive property of multiplication over addition is used

• For Example:

$8\times \left( 5+2 \right)$

$=\left( 8\times 5 \right)+\left( 8\times 2 \right)$

$=40+16$

$=56$

• On adding $0$ to any whole number gives whole number itself then $0$ is the additive identity

• For Example: $9+0=9$

1. Multiplicative Identity

• On multiplying $1$ to any whole number gives whole number itself then $1$ is the multiplicative identity

• For Example: $6\times 1=6$

Important Terms Related to Whole Numbers

• The numbers 1, 2, 3,........ which we use for counting are known as natural numbers. If you add 1 to a natural number, we get it, successor.

• When 1 is subtracted from a natural number, then you get its predecessor.

• Every natural number has a successor. Every natural number except 0 has a predecessor.

• All Whole Numbers cannot be natural numbers, but all natural numbers are always whole numbers.

• The whole numbers can be represented on a number line. A number of operations like division, multiplication, addition, and subtraction can be performed on whole numbers on the number line.

• Addition corresponds to moving to the right of the number line, whereas subtraction corresponds to moving to the left. Multiplication matches to making jumps of equal intervals on the number line starting from zero.

• When two whole numbers are added, you will always get a whole number. Similarly, two whole numbers are multiplied, you always get a whole number. Hence, we can say that the whole numbers are closed under addition and also under multiplication. However,  whole numbers are not closed under division and under subtraction because when you subtract or divide two whole numbers, you do not get a whole number as a final product.

• Division by zero is not defined.

• Zero plays as the identity solution for the addition of whole numbers. The whole number 1 is identified for the multiplication of any number of whole numbers.

• You can add two whole numbers in any given order, you will get the same result at the end. You can multiply two whole numbers in any order, you will get the same result at the end. We can say that the addition and multiplication properties of whole numbers are commutative.

• Multiplication is the distributive property of whole numbers.

• Commutativity, associativity, and distributivity properties of whole numbers help to simplify calculations and can be used without being aware of them.

• Patterns with numbers are not only interesting but are useful especially for verbal calculations, and help us to understand the properties of numbers better.

### Importance of Whole Numbers

People use numbers to count, add or subtract on a daily basis. Starting from children counting toys on the floor, and adults counting the cost of the groceries; everyone needs numbers.

For example, if a kid counts cubes should know how many cubes a set constitutes.

Here, as we count, we use numbers to represent a quantity. This idea is used to represent that. So, it can be written using symbols that are otherwise known as numerals. Now, let us recall what type of numbers one can view besides the whole number. These are complex numbers, irrational numbers, real numbers, rational numbers, and integers.

### Why Choose Vedantu for Notes on Whole Numbers?

Vedantu enhances students’ online engagement through experienced and skilled tutors. The revision notes on whole numbers are shared with the students to help them grasp the concepts of whole numbers. Further, subjective, objective type tests, regular homework, assignments on Class 6 Maths are provided that increases the academic progress of students. Finally, parents can get to know how their children are improving by going through the results of the tests.

1. Do I have to pay to access the Maths revision notes available on Vedantu?

No, the Class 6 Maths Chapter - 2 Whole Number Revision Notes are available for free download on Vedantu. In order to help most students prepare and score good marks in their Maths examinations, Class 6 Maths Chapter - 2 Whole Number Revision Notes is of great help. This PDF can be accessed online as well.

2. How can Vedantu’s  Class 6 Maths Chapter - 2 Whole Number Revision Notes help you with your exam preparation?

Class 6 Maths Chapter - 2 Whole Number Revision Notes that Vedantu provides will help you in understanding all the core concepts that are covered in the chapter. Referring to these notes will also help you to solve the sums that are commonly asked in the exams. Hence, it is crucial to refer to these notes as this will help you to master the topic before you appear for the examination.

3. Give some facts about whole numbers.

Some facts about whole numbers are as follows.

1. There is no largest whole number.

2. Excluding 0, every whole number precedes the other, or the one that appears prior to it.

3. A fraction or decimal number lies within two whole numbers. However, these are not the whole numbers.

4. Suggest a study plan suited for Class 6 Mathematics Chapter 2.

Class 6 Mathematics contains a total of 14 chapters. Here are a few things students can do while studying Chapter 2 of Class 6 Mathematics:

1. Familiarize yourself with the topics in Chapter 2. Divide the topics as per the difficulty level and importance.

2. Prepare a study schedule dedicating at least one hour daily to Maths.

3. Make efforts to understand the topics well.

4. Read the chapter and solve all its exercises and examples.

5. Dedicate time in the study plan to solve several question papers.

5. What resources are beneficial in studying Class 6 Chapter 2 Mathematics?

Refer to Vedantu’s NCERT Solutions, revision notes and sample papers to master Class 6 Chapter 2 Mathematics. NCERT solutions help students with an in-depth understanding of the concepts of this chapter. These solutions are written in easy language and are available free of cost. Make your revision notes or refer to Vedantu's Revision Notes for Class 6 Chapter 2. They contain all the important explanations and formulas in one place. Refer to Sample papers and previous years question papers to assess your weak and strong areas. Watch conceptual and educational videos to get clarity on topics.

6. What are whole numbers?

The numbers that we use for counting or ordering are called natural numbers. They begin from 1, 2, 3, 4, 5……. They are also referred to as cardinal numbers or ordinal numbers. Whole numbers are natural numbers with the addition of 0. Hence, whole numbers are all positive integers along with zero. They do not contain decimal or fraction parts and hence, they are "whole" numbers. You can refer to such important definitions using Vedantu's Class 6 Chapter 2 Revision Notes.

7.  How do you introduce whole numbers to Class 6 students?

“Whole Numbers” is a fairly straightforward yet interesting chapter. The focus while teaching should be on the fact that firstly students understand the concepts of the chapter well. Interacting with students while teaching and asking them questions lead to an interactive and productive learning session. Another important tool while teaching is using added resources to teach. Teachers can take help from Vedantu's notes and conceptual videos which provide an added edge to the learning experience.

8. What are whole numbers and natural numbers?

• Natural Numbers: These are numbers used for counting and ordering. They are all positive integers i.e starting from 1 till infinity. They are also referred to as cardinal and ordinal numbers. They exclude negative integers, 0, fractions, and decimals.

• Whole Numbers: Natural numbers along with 0 form a set of whole numbers. So whole numbers are natural numbers with the inclusion of 0.

If you want to understand these concepts more accurately and to make detailed notes, then go through the link of CBSE Class 6 Math Chapter 2 .This link will redirect you to the official website of Vedantu where you can access the content related to Chapter 13 for free. Additionally, you can also download its PDF if you want to study offline.