| A | B |
| Commutative Property of Addition | The order of adding does not change the sum. |
| Associative Property of Addition | Grouping numbers differently does not change the sum. |
| Identity Property of Addition | Adding zero to a number does not change its value. |
| Commutative Property of Multiplication | The order of mulitplying does not change the product. |
| Associative Property of Multiplication | Grouping numbers differently does not change the product. |
| Identity Property of Multiplication | Multiplying a number by 1 does not change its value. |
| Zero Property of Multiplication | Zero times any number equals zero. |
| Distributive Property | States that the sum of two products with a common factor is equal to the sum of the other factors times the common factor. |
| Commutative Property of Addition | a+b=b+a |
| Associative Property of Addition | (a+b)+c=a+(b+c) |
| Identity Property of Addition | a+0=a |
| Commutative Property of Multiplication | G*H=H*G |
| Associative Property of Multiplication | (G*H)*J=G*(H*J) |
| Identity Property of Multiplication | K*1=K |
| Zero Property of Multiplication | M*0=0 |
| Distributive Property | (A*B)+(C*B)=(A+C)*B |