| A | B |
|---|
| PROPERTIES | THE ESSENTIAL OR DISTINCTIVE ATTRIBUTES OR QUALITIES OF SOMETHING |
| NUMBER PROPERTY | STATES A RELATIONSHIP BETWEEN NUMBERS AND EXPRESSIONS |
| COMMUTATIVE PROPERTY OF ADDITION AND MULTIPLICATION | STATES THAT THE ORDER IN WHICH NUMBERS ARE ADDED OR MULTIPLIED DOES NOT MATTER > FOR EXAMPLE : A + B = B + A AND A • B = B • A |
| ASSOCIATIVE PROPERTY OF ADDITION AND MULTIPLICATION | STATES THAT THE WAY IN WHICH NUMBERS ARE GROUPED WHEN MORE THAN TWO NUMBERS ARE ADDED OR MULTIPLIED DOES NOT MATTER > FOR EXAMPLE : ( A + B ) + C = A + ( B + C ) AND ( A • B ) • C = A • ( B • C ) |
| DISTRIBUTIVE PROPERTY | THIS RELATES MULTIPLICATION TO ADDITION OR SUBTRACTION AND STATES THAT EVERYTHING INSIDE THE PARENTHESES IS MULTIPLIED BY WHATEVER IS OUTSIDE THE PARENTHESES > FOR EXAMPLE : A ( B + C ) = AB + AC AND A ( B - C ) = AB - AC |
| IDENTITY PROPERTY | SHOWS WHAT HAPPENS WHEN YOU ADD ZERO TO A NUMBER OR MULTIPLY A NUMBER BY ONE > FOR EXAMPLE : A + 0 = A AND A • 1 = A |
| INVERSE PROPERTY | SHOWS WHAT HAPPENS WHEN YOU ADD A NUMBER'S OPPOSITE TO THAT NUMBER , OR MULTIPLY A NUMBER BY ITS RECIPROCAL |
| CLOSURE PROPERTY | STATES THAT WHEN TWO ELEMENTS OF A SET ARE COMBINED , THE REUSLT IS ALSO IN THE SET |
| RECIPROCAL | INVERSELY RELATED > FOR EXAMPLE : THE RECIPROCAL OF X IS 1 / X |
| INVERSE PROPERTY OF ADDITION | STATES THAT A NUMBER ADDED TO ITS OPPOSITE IS EQUAL TO ZERO > FOR EXAMPLE : A + ( - A ) = O |
| INVERSE PROPERTY OF MULTIPLICATION | STATES THAT A NUMBER MULTIPLIED BY ITS RECIPROCAL IS EQUAL TO ONE > FOR EXAMPLE : A / B • B / A = 1 |
| CLOSURE PROPERTY OF ADDITION | STATES THAT FOR ANY TWO REAL NUMBERS , THE SUM OF THOSE NUMBERS IS A UNIQUE REAL NUMBER > FOR EXAMPLE : IF A AND B ARE REAL NUMBERS , THEN A + B = UNIQUE REAL NUMBER |
| CLOSURE PROPERTY OF MULTIPLICATION | STATES THAT FOR ANY TWO REAL NUMBERS , THE PRODUCT OF THOSE NUMBERS IS A UNIQUE REAL NUMBER > FOR EXAMPLE : IF A AND B ARE REAL NUMBERS , THEN A • B = UNIQUE REAL NUMBER |
