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# Hester Algebra II

### Algebra II Vocabulary 1 8132009

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
Created by: jhester