| A | B |
| Commutative property of addition | Change the order of the numbers and the answer is still the same. 4 + 5 = 5 + 4 |
| Commutative property of multiplication | Change the order of the numbers and the answer is still the same. 4 x 5 = 5 x 4 |
| Associative property of addition | Move the parentesis and keep the numbers in the same order. (3 + 4) + 6 = 3 + (4 + 6) |
| Associative property of multiplication | Move the parentesis and keep the numbers in the same order.(3 x 4) x 6 = 3 x (4 x 6) |
| Distribubutive Property | It means to distribute evenly. The first number in front of the parentesis gets muliplied to all the numbers(terms) inside the parentesis 5(4 + 2) = 5(4) + 5(2) |
| Addition Property of Zero | Any number plus 0 always equals that number. 5+0 = 0 |
| Multiplication Property of One | Any number multiplied by one always equals that number. 4 x 1 = 4 |
| Additive (means to add) Inverse | The inverse of a number is its opposite. 8 + -8 = 0 |
| Multiplicative (means X) Inverse | The inverse of the number and is its reciprocal (flip it) equals one. 3 x 1/3 = 1 |
| Multiplcation Property of Zero | Any number multiplied by zero equals zero.9 x 0 = 0 |
| Symmetric Property | a= b then b = a -Both sides are going to be equal (identical) to one another. ex. 3 + 1 = 4 = 1 + 3 = 4 |
| Closure property | The set of a number is closed when the answer to the set is a number that is part of the set. Example 1 Jock + 1 Jock = (2 Jocks) |