Term
| Commutative Property of Addition |
|
Definition
Changing the order of the addends does not change the sum.
a + b = b + a |
|
|
Term
| Commutative Property of Multiplication |
|
Definition
Changing the order of the addends does not change the product.
a x b = b x a |
|
|
Term
| Associative Property of Addition |
|
Definition
Changing the grouping of the addends does not change the sum.
(a + b) + c = a + (b + c) |
|
|
Term
| Associative Property of Multiplication |
|
Definition
Changing the grouping of the factors does not change the product.
(ab)c = a(bc) |
|
|
Term
| Identity Product of Addition |
|
Definition
Adding 0 and any number does not change the value of the number.
a + 0 = a or 0 + a = a |
|
|
Term
| Identity Property of Multiplication |
|
Definition
Multiplying 1 and any number does not change the value of the number.
a x 1 = a or 1 x a = a |
|
|
Term
| Zero Property of Multiplication |
|
Definition
The product of 0 and any number is 0.
0 x a = 0 or a x 0 = 0 |
|
|
Term
| Distributive Property of Multiplication over Addition |
|
Definition
Multiplying a sum by a number is the same as multiplying each addend by that number and adding the two products.
a (b + c) = ab + ac |
|
|
Term
| Distributive Property of Multiplication over Subtraction |
|
Definition
Multiplying a difference y a number is the same as multiplying each number in the subtraction expression by that number and subtracting the two products.
a (b - c) = ab - ac |
|
|
