Commutative Property
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.
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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
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