Question | Answer |
Classification of real numbers | Rational and Irrational |
A real number that is not rational. | Irrational number |
With an irrational number, the decimal form of an irrational number neither termainates nor repeats. | True |
The decimal form of a rational number is either a ____________ or _____________ decimal. | terminating; repeating |
A mathematical sentence containing one or more variables is called an __________________. | open sentence |
Can be expressed as a ratio m/n, where m and n are integers and n is not zero. | rational number. |
Reflexive Property | For any real number a (a=a) |
set-builder notation | The expression of the solution set of an ineqality {x1x>9} |
Substituion Property | if a=b, then a can be replaced by b, and b can be replaced by a. |
Symmetric Property | For all real numbers a & b, if a=b then b=a. |
Transitive Property | For all real numbers a, b & c, if a=b and b=c, then a=c. |
Trichotomy Property | For any two real numbers a and b , exactly one of the following is true: a < b , a = b , a > b . |
Associative Property | the change in grouping of three or more addends or factors does not change their sum or product. |
union | The graph of a compound inequality containing "or". |
absolute value | A number's distance from zero on the number line, represented by |x| |
Algebraic expression | An expression that contains at least one variable. |
Commutative Property | changing the order of addends does not change the sum. |
Commutative Property (addition) | a + b = b + a. |
Commutative Property (multiplication) | a * b=b * a. |
compound inequality | Two inequalities joined by the word "and" or "or". |
Distributive Property | a(b + c) = ab + ac or(b + c)a = ba + ca |
empty set | The solution set for an equation that has no solution, sybolized by {} or |
Identy Property | a + 0 = a = 0 + a |
intersection | The graph of a compound inequality containing "and". |
Inverse Property (addition) | a + (-a) = 0 = (-a) + a |
Inverse Property (multiplication) | If a not equal 0, then a * 1/a = 1 = 1/a * a |