Commutative Property

We at ask-math believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.

We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.

Affiliations with Schools & Educational institutions are also welcome.

Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit

We will be happy to post videos as per your requirements also. Do write to us.

Commutative property for addition :

Look at the following Examples.
12 + 18 = 18 + 12 = 30;
345 + 65 = 65 + 345 = 410
45 + 0 = 0 + 45 = 45
From the above examples we can say that during addition we can change the place of the number. The answer remains the same.



For any two elements of the set W, a and b, a + b = b + a
This is called the Commutative-Property of Addition for the set of W.

Some solved examples
1) 15 + 6 = 6 + 15

21 = 21

So the property holds true.

2) 85 + 16 = 16 + 85

101 = 101

So the property holds true.

3) 5 + 97 = 97 + 5

102 = 102

So the property holds true.

Commutative-property for multiplication :

If a and b are whole numbers then

a x b = b x a

For any elements of the set W, a x b = b x a
This is called the Commutative-Property of multiplication for the set of W.

Some solved examples :

1) 5 x 6 = 6 x 5

30 = 30

So the property holds true.

2) 12 x 5 = 5 x 12 = 60

Regardless of the order in which whole numbers are multiplied,

we will get the same product.

For Division :

6 ÷ 3 = 2 is not same as 3 ÷ 6 = 1/2

If a and b are whole numbers, then a ÷ b is not equal to

b ÷ a. So the commutative-property does not hold

true for whole numbers.

Whole numbers

• Closure property
• Commutative property
• Associative property
• Additive Identity
• Distributive property
From commutative to Whole numbers

• Home

Russia-Ukraine crisis update - 3rd Mar 2022

The UN General assembly voted at an emergency session to demand an immediate halt to Moscow's attack on Ukraine and withdrawal of Russian troops.