# Chapter one (Alg 2) Flashcards

Rational numbers

can be written as the ratios of integers, can be written as decimals that terminate or repeat

irrational numbers

cannot be written as the ratios of integers, cannot be written as decimals that terminate or repeat

Graph

point on a number line that corresponds to a real number

Coordinate

number that corresponds to a point on a number line

Opposite or additive inverse

The opposite of any number a is -a

Reciprocal or multiplicative inverse

any nonzero number a is 1/a.

Properties of Addition and Multiplication (Addition)

Commutative a + b = b +a Associative (a+b) + c = a + (b +c) Identity a + 0 = a , 0 + a = a Inverse a + (-a) = 0 {} Subtraction is defined as adding the opposite

Properties of Addition and Multiplication (Multiplication)

Commutative ab = ba Associative (ab) c = a (bc) Identity a * 1 = a , 1 * a = a Inverse a * 1/a = a , a does not equal 0 {} Division is defined as multiplying by the reciprocal.

Exponent

tells the base the number of times the base is used as a factor.

Power

Consists of the Base and the exponent

Base

What is being factored

Numerical Expression

Consists of numbers, operation, and grouping symbols

Variable

a letter that is used to represent one or more numbers.

Algebraic expression

An a expression involving a variable

Terms

the parts that are added together (which can be found in between numbers)