| A | B |
|---|
| Commutative Property of Addition | For any numbers a and b, a + b = b + a. |
| Commutative Property of Multiplication | For any numbers a and b, a * b = b * a. |
| Associative Property of Addition | Changing the grouping of terms will not change the sum, (a + b) + c = a + (b + c). |
| Associative Property of Multiplication | Changing the grouping of factors will not change the product, (ab)c = a(bc). |
| Distributive Property | For any numbers a, b & c, it is true that a(b + c) = ab + ac. |
| Identity Property of Addition | The sum of any number & zero is equal to the original number (a + 0 = a). |
| Identity Property of Multiplication | The product of any number and 1 is equal to the original number (a x 1 = a). |
| Additive Inverse | The sum of a number and its opposite equals zero (a + -a = 0). |
| Multiplicative Inverse | The product of a number & its reciprocal equals one (a/b * b/a = 1). |
| Symmetric Property of Equality | If a = b, then b=a. |
| Addition Property of Equality | If a = b, then a+c = b+c. |
| Multiplication Property of Equality | If a = b, then ac = bc. |
| Addition Property of Inequality | If a < b, then a + c < b + c. |
| Multiplication Property of Inequality | If a > b, then a * c > b * c. |
| Zero Product Property | If a * b = 0, then a = 0 and/or b = 0. |
| Substitution Property | If a = 3, then 2a + 4 = 2(3) + 4. |
