Whole Numbers Class 6 Notes CBSE Maths Chapter 2 (Free PDF Download)

• 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 numbers, we get 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 the 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.

Adding on the Number Line: 

• Suppose a+b is to be found from the number line. Then mark a unit on the number line and move the b units towards the right of a. 

• For example: The 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 the number line then mark a on the number line then move b unit towards the left of a 

• For example: The 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, which 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. 

2. Commutative Property

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

For example: 4+2=6 and 2+4=6. 

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

For example: 5×3=15 and 3×5=15.

3. 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: 

(12+5)+6

=17+6 

=23   

And 

12+(5+6) 

=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: 

(2×5)×3

=10×3 

=30   

And 

2×(5×3) 

=2×15 

=30 

4. Distributivity of Multiplication Over Addition

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

For example: 

8×(5+2) 

=(8×5)+(8×2) 

=40+16 

=56 

5. Additive Identity

• If adding 0 to any whole number gives the whole number itself, then 0 is the additive identity. 

For example: 9+0=9 

6. Multiplicative Identity

• If multiplying 1 to any whole number gives the whole number itself, then 1 is the multiplicative identity. 

For example: 6×1=6 

Whole Number Class 6 Notes Maths Chapter 2 - PDF Download

CBSE Class 6 Maths Revision Notes Chapter 2 Whole Numbers are a very important study material for students who are preparing for the Class 6 Mathematics exam. These notes are prepared by our expert Maths teachers to provide you with quality study material. Notes on Whole Numbers include step-by-step explanations of each concept along with important formulas, the best methods to solve the problems, and some shortcut tips which will help you to have a better understanding of the concepts.

Hence, the students are advised to go through the Revision Notes on Chapter 2 Whole Numbers to prepare well for their final exam. Students can simply click on “download pdf” to access the free PDF of Chapter 2 Revision Notes and study at anywhere and anytime.

Key Learnings from Chapter 2 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 its successor. 

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

• Every natural number has a successor.

• 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, if 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 to 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. 

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Benefits of Class 6 Maths Chapter 2 Important Questions

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• CBSE Class 6 Maths Revision Notes on Chapter 2 Whole Numbers are prepared by Maths experts who have done extensive research and know what exactly needs to be mentioned in the notes.

• By studying the revision notes on whole numbers, the students will be able to solve the complex problems related to whole numbers which will boost their exam preparation.

• These notes are prepared as per the CBSE guidelines and it is available in free PDF format to download.

• Students can refer to these notes for last-minute revision just before the exam days as every important concept is well explained in these notes and it will help you to secure good marks. 

Conclusion

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