PROPERTIES OF ADDITION
Preparation | Just what you need to know ! |
PROPERTY | REPRESENTATION | EXAMPLE | EXPLANATION |
Associative | a + (b + c) = (a + b) + c | 4 + (2 + 3) = (4 + 2) + 3 simplifies to 4 + 5 = 6 + 3 or 9 = 9 | When more than two numbers are added, the grouping of the addends does not change the sum. |
Commutative | a + b = b + a | 2 + 3 = 3 + 2 simplifies to 5 = 5 | Changing the order of addends does not change the sum. |
Identity | a + 0 = a | 8 + 0 = 8 | The sum of any number and zero is the number itself. |
NOTE : Addends are the numbers involved in the addition.