Commutative Property of Multiplication

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

a * b = b * a
 

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

Example :
          Two friends Riya and Jia went for a part time job. At the end of day Riya had five Rs.10 coins and Jia had ten Rs.5 coins. How much did they both earn in a day?

Total money Riya earned =  5 * 10 = Rs.50

Total money Jia earned =  10 * 5 = Rs.50

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

This property of multiplication is called commutative property of multiplication. According to the commutative property of multiplication, the product 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.