| A | B |
|---|
| commutative property | order in which two real numbers are added or multiplied does not matter |
| commutative property for addition | a+b=b+a |
| commutative property for multiplication | a x b = b x a |
| associative property | when 3 numbers are aded or multiplied together, it does not matter how the numbers are grouped, or associated |
| associative property for addition | a + (b + c) = (a + b) + c |
| associative property for multiplication | a x (b x c) = (a x b) x c |
| closure proplerty | a set of numbers is closed if the outcome of that operation on the numbers in the set is always a number from the set |
| irrational number | a number which cannot be expressed as the quotient of two intergers (a/b) |
| real number | any number that is either rational or irrational |
| identity property for addition | when 0 is added to any real number, the sum is that same number (q + 0 = q) |
| identity property for multiplication | when any real number is multiplied by 1, the product is that same number (z x 1 = z) |
| additive inverse | each real number (m) has an opposite (-m) so that the sum of the number and its opposite = 0 |
| multiplicative inverse | each nonzero real number (m) has an reciprocal (1/m) so that the product of that number and its multiplicative inverse is always 1 |
| distributive property | links the operation of multiplication and addition so that p(k + a) = pk + pa |
| absolute value (l-al) | is equal to the number (a) without the attached + or - sign |
