| A | B |
| Associative Property of Multiplication | The way factors are grouped does not change the product. |
| Property of 1 for Division | Any number divided by one is that number. |
| Zero Property of Division | 0 divided by any number but zero is zero. A number cannot be divided by zero. |
| Identity Property for Multiplication | Any number multiplied by one is that number |
| Identity Property for Division | Any number divided by one will remain the same number. |
| Identity Property for Addition | Any number, when added to one, will have sum of one more than the original number. |
| Associative Property for Addition | The way Addends are grouped together will not affect the Sum of the numbers |
| Commuttative Property for Addition | You can change the order of the two addends and still get the same sum. |
| Commuttative Property for Multiplication | You can change the order of the factors and still get the same product. |
| Commutative Property for Multiplication | 3x4 = 4x3 |
| Commuttative Property for Addition | 2+3 = 3+2 |
| Associative Property for Addition | (6+4)+5 = 6+(4+5) |
| Associative Property for Multiplication | 8x(9x3) = (8x9)x3 |
| Identity Property for Addition | 6+1=7 |
| Identity Property for Multiplication | 5x1=5 |
| Identity Property for Division | 9/1=9 |
| Zero Property for Multiplication | Any factor multiplied by zero has a product of zero. |
| Zero Property for Multiplication | 12x0=0 |
| Zero Property for Addtion | Any addend when added to zero has a sum that is the original number. |
| Zero Property for Addition | 6+0=6 |