| A | B | 
|---|
| Associative Property of Addition | Regrouping the addends (numbers) does not change the sum (answer) | 
| Associative Property of Multiplication | Regrouping the factors (numbers) does not change the product (answer) | 
| Commutative Property of Addition | Changing the order of the addends (numbers) does not change the sum (answer) | 
| Commutative Property of Multiplication | Changing the order of the factors (numbers) does not change the product (answer) | 
| Distributive Property | You can multiply a number outside of a parenthesis by each number inside the parenthesis. This is the same as adding what's inside of the parenthesis and then multiplying it by the number outside the parenthesis | 
| Additive Identity Property | The sum of a number and zero is equal to that number | 
| Multiplicative Identity Property | The product of a number and one is equal to that number | 
| Additive Inverse Property | The sum of a number and its additive inverse is always equal to 0 | 
| Multiplicative Inverse Property | The product of a number and its multiplicative inverse (reciprocal) always equals 1 | 
| Multiplicative Property of Zero | The product of a number and 0 is 0 |