| A | B |
|---|
| Associative Property of Addition | For all numbers a, b, and c, a + (b + c) = (a + b) + c. |
| Associative Property of Multiplication | For all numbers a, b, and c, a(bc) = (ab)c. |
| Balancing Equations | Whatever mathematical operation is performed on one side of an equation must also be performed on the other side. |
| Commutative Property of Addition | For all numbers a and b, a + b = b + a. |
| Commutative Property of Multiplication | For all numbers a and b, ab = ba. |
| Distributive Property | For all numbers a, b, and c, a(b + c) = ab + ac. |
| Division Property of Equality | If each side of an equation is divided by the same nonzero number, the results are equal. |
| Multiplication Property of Equality | If each side of an equation is multiplied by the same number, the two sides of the equation stay balanced. |
| Multiplicative Inverse | Another name for reciprocal. |
| Multiplying by -1 | For any number a, -a = -1a . |
| Property of Multiplying by 1 | For any number a, a x 1 = a and 1 x a = a. |
| Proportion | An equation that compares two ratios. |
| Proportion Property | In a true proportion, the cross-products are equal. |
| Ratio | A fraction that compares two quantities. |
| Reciprocal Property | The product of any number and its reciprocal is 1. |
