Commutative Property of Addition

The Commutative property of addition states that altering the arrangement of two Numbers that are added does not make any modification in the final result i.e, we can sum up numbers in any order but it does not affect the final result.
 

a + b = b + a
 

The Commutative Property of addition can be explained by some real life applications:

Example :
          Two friends Tom and Terry were going to the market. Tom had Rs.25 and Terry had Rs.50 with him. Now if Tom took Rs.50 more and Terry took Rs.25 from his mother, then do both of them had equal money?

Money Tom had = Rs.25
Money Tom took from his mother = Rs.50
Total money Tom had =  25 + 50 = Rs.75

Money Terry had = Rs.50
Money Terry took from his mother = Rs. 25
Total money Terry had =  50+ 25 = Rs.75

We observe that in both the cases we get the same result. Thus they have same amount of money.

This property of addition is called commutative property of addition. According to the commutative property of addition, the sum of any two given numbers remain same, even if we change the order of their existence. So, a + b = b + a, where a and b are any numbers.