Properties of Multiplication

There are few properties of multiplication which makes the calculation of multiplication easier and less time consuming. Moreover, by using the properties of multiplication we can easily find the product of large numbers.


Commutative Property of Multiplication:

This property states that whatever is the order of the multiplicand and the multiplier the product is always the same. That is:

Examples on Commutative Property of Multiplication:

2 × 3 = 3 × 2 = 6

52 × 2 = 2 × 52 = 104

Closure Property of Multiplication:

This property states that if p and q is a whole number then the product of p and q will also be a whole number. This is shown with the help of few examples:

Examples on Closure Property of Multiplication:

7 × 8 = 56

Where 7 and 8 are whole numbers and the product 56 is also a whole number

11 × 5 = 55

Where 11 and 5 are whole numbers and the product 55 is also a whole number

19 × 2 = 38

Where 19 and 2 are whole numbers hence the product 38 is also a whole number


Multiplicative Identity Property of Multiplication:

This property states that if any whole number is multiplied by 1 then the product is the whole number itself. Hence 1 is the multiplicative identity as the value of the whole number does not change.

Examples on Multiplicative Identity Property of Multiplication:

    5 × 1 = 5

  89 × 1 = 89

150 × 1 = 150


Multiplication with Zero Property:

This property states that if any number is multiplied with zero then the product of multiplication is zero only.

Examples on Multiplication with Zero Property:

    0 × 5 = 0

  0 × 90 = 0

0 × 560 = 0


Distributive Property of Multiplication Over Addition:

This property states that if the multiplicand is expanded into two or three addends and then each addend are multiplied. The product of each of them is then added to get the final answer.

Examples on Distributive Property of Multiplication Over Addition:

·         6 × 5 = 30

Or, 5 × (3 + 3) = 30

Or, 5 × 3 + 5 × 3 = 15 + 15 =30


·     17 × 3 = 51

Or, 3 × (10 + 7) = 51

Or, 3 × 10 + 3 × 7 = 30 + 21 = 51

 

·     23 × 6 = 138

Or, 6 × (20 + 3) = 138

Or, 6 × 20 + 6 × 3 = 120 + 18 = 138

In these examples we can see that the product remained unchanged ny applying the associative property of multiplication.

Properties of Multiplication

Associative Property of Multiplication:

This property states that if p, q, r are the three whole numbers then by changing the arrangement of the whole numbers the product of the numbers does not change.

Examples on Associative Property of Multiplication:

(i) (5 × 6) × 2 = 5 × (6 × 2)

Þ 30 × 2 = 5 × 12

Þ 60 = 60


(ii) 7 × (3 × 2) = (7 × 3) × 2

Þ 7 × 6 = 21 × 2

Þ 42 = 42

Therefore in both the examples it is seen that by changing the arrangement of the whole numbers their product remained unchanged.






From Properties of Multiplication to HOME PAGE

New! Comments

Have your say about what you just read! Leave me a comment in the box below.


Recent Articles

  1. Eleventh Grade | Eleventh Grade Science | Eleventh Grade Math

    Jun 27, 25 12:26 AM

    Eleventh grade biology has been designed in accordance with the recommended topics. We will cover all the topics in biology very exciting and interesting way.

    Read More

  2. Explain Digestion of Food | Salivary Glands | Oesophagus | Stomach

    Jun 27, 25 12:20 AM

    Human Digestive System
    Before the digestion is start by the different enzymes secreted from the different digestive glands food must be turned and chut or mixed with saliva inside the mouth.

    Read More

  3. Explain Human Digestive System | Mouth | Tongue | Pharynx | Teeth

    Jun 21, 25 01:15 PM

    Tongue
    Digestive system is a system of alimentary canal and digestive glands. Alimentary canal- alimentary canal is a tube of variable diameter having muscular wall and glandular epithelial tissues which sta…

    Read More

  4. Vernalisation in Plants | Definition | Mechanism | Devernalization |

    Jun 18, 25 01:34 PM

    Photoperiod and Vernalisation
    Definition of vernalisation- The change of flowering habit due to the low temperature treatment is known as vernalisation. This is a physiological process which was denoted by Clipart in 1857 invite b…

    Read More

  5. The Food We Eat | Food we Get from Plants and Animals | Carbohydrates

    Jun 15, 25 03:20 PM

    Food We Eat
    What are the food that we should eat? Find out the names of ten food items in the word maze. Write the names in the correct column of the table given below. Food we get from plants Food we get from an…

    Read More