Grouping property

The grouping property dictates that changing the grouping of the numbers used in an operation without changing the order does not change the result of that operation. This property applies to both addition and multiplication, but not to subtraction and division.


grouping property of addition


The grouping property of addition dictates that when adding three or more numbers, we can group the numbers in any way we choose without changing the order and the sum will remain the same.


grouping property of multiplication


The grouping property of multiplication dictates that when multiplying three or more numbers, we can group the numbers in any way we choose without changing the order and the product will remain the same.


See also associative property.