| A | B |
|---|
| CLOSURE PROPERTY of addition Example: 4 + 2 = 6 | The sum of any two real numbers is a unique real number. |
| COMMUTATIVE PROPERTY of addition Example: 3+(-2) = -2 + 3 | The order in which two numbers are added does not change the sum. |
| ASSOCIATIVE PROPERTY of addition (-5 + 6) + 2 = -5 + (6 + 2) | The way three numbers are grouped when adding does not change the sum. |
| ADDITIVE IDENTITY PROPERTY -4 + 0 = -4 | The sum of a number and 0 is the number. |
| ADDITIVE INVERSE PROPERTY 5 + (-5) = 0 | The sum of a number and its opposite is 0. |
| CLOSURE PROPERTY of multplication 4*2=8 | The product of any two real numbers is a unique real number. |
| COMMUTATIVE PROPERTY of multiplication 3(-2) = -2(3) | The order in which two numbers are multiplied does not change the product. |
| ASSOCIATIVE PROPERTY of multiplication (-6 * 2 )3 = -6(2 * 3) | The way you group three numbers when multiplying does not change the product. |
| MULTIPLICATIVE IDENTITY PROPERTY 1(-4) = -4 | The product of a number and 1 is the number. |
| MULTIPLICATIVE PROPERTY OF ZERO 0(-2) = 0 | The product of a number and 0 is 0. |
| MULTIPLICATIVE PROPERTY OF NEGATIVE ONE -1(-3) = 3 | The product of a number and -1 is the opposite of the number. |
| MULTIPLICATIVE INVERSE PROPERTY 8 * 1/8 = 1 | The product of a number and its reciprocal is 1 |
| ADDITION PROPERTY OF EQUALITY | If a = b, then a + c = b +c. Adding the same value to both sides the equation remains equal. |
| SUBTRACTION PROPERTY OF EQUALITY | If a = b, then a -c =b -c subtracting the same value from each side the equation remains equal. |
| MULTIPLICATION PROPERTY OF EQUALITY | If a = b, then ca = cb. Multiplying both side of an equation by the same value the equation remains equal. |
| DIVISION PROPERTY OF EQUALITY | If a = b and c does not = 0, then a/c = b/c. Dividing both sides of equation by the same value the equation remains equal. |
