| A | B |
|---|
| CLOSURE PROPERTY of addition | The sum of any two real numbers is a unique real number. |
| COMMUTATIVE PROPERTY of addition | The order in which two numbers are added does not change the sum. |
| ASSOCIATIVE PROPERTY of addition | The way three numbers are grouped when adding does not change the sum. |
| ADDITIVE IDENTITY PROPERTY | The sum of a number and 0 is the number. |
| ADDITIVE INVERSE PROPERTY | The sum of a number and its opposite is 0. |
| CLOSURE PROPERTY of multplication | The product of any two real numbers is a unique real number. |
| COMMUTATIVE PROPERTY of multiplication | The order in which two numbers are multiplied does not change the product. |
| ASSOCIATIVE PROPERTY of multiplication | The way you group three numbers when multiplying does not change the product. |
| MULTIPLICATIVE IDENTITY PROPERTY | The product of a number and 1 is the number. |
| MULTIPLICATIVE PROPERTY OF ZERO | The product of a number and 0 is 0. |
| MULTIPLICATIVE PROPERTY OF NEGATIVE ONE | The product of a number and -1 is the opposite of the number. |
| MULTIPLICATIVE INVERSE PROPERTY | The product of a number and its reciprocal is 1 |
| ADDITION PROPERTY OF EQUALITY | Adding the same value to both sides the equation remains equal. |
| SUBTRACTION PROPERTY OF EQUALITY | Subtracting the same value from each side the equation remains equal. |
| MULTIPLICATION PROPERTY OF EQUALITY | Multiplying both side of an equation by the same value the equation remains equal. |
| DIVISION PROPERTY OF EQUALITY | Dividing both sides of equation by the same value the equation remains equal. |
