| A | B |
|---|
| INTEGER | A Whole number or its opposite ( -1, 0, + 1) |
| REAL NUMBER | ALL numbers on the number line including positives, negatives, fractions, decimals and zero |
| SUBTRACTION | Means "adding" its opposite x - y means x + (-y) |
| DIVISION | Means x รท y or x * 1/y |
| MULTIPLICATION PROP OF -1 | For any real number 'x', ex. -1 *x = -x |
| COMMUTATIVE PROP Add. / Mult. | Changing the order of addends or factors doesn't change answer |
| ASSOCIATIVE PROP Add / Mult. | Changing the grouping of addends or factors doesn't change answer |
| TRANSFORMATION | Commuting or associating an expression in such a way that the expression still represents the same number as the original one. |
| DIVISION BY 0 | Undefined (3/0 means 3 x 1/0) |
| DIVISION OF 0 | Equals 0 (0 /5 means 0 x 1/5) |
| Negative "times" Negative | Positive integer |
| Negative "times" Positive | Negative integer |
| Positive "times" Negative | Negative integer |
| RECIPROCAL | Any 2 numbers whose product is 1 are multiplicative inverses or |
| POSITIVE NUMBERS | Are greater than 0 |
| NEGATIVE NUMBERS | Are less than 0 |
| ZERO | NEITHER positive or negative |
| ADDITIVE INVERSE | Any number plus its opposite = 0 ex. 4 + (-4) =0 |
