Algebra II Unit 1 End Review

Natural Numbers

are numbers used for counting

Whole Numbers

include natural numbers and zero

Integers

Natural numbers, their opposites, and zero

Rational

can be written as a quotient of integers (decimals terminate or repeat)

Irrational

are numbers that cannot be written as quotients of integers (decimals do not terminate or repeat)

Closure Property of Addition

a + b = real number

Closure Property of Multiplication

a • b = real number

Commutative Property of Addition

a + b = b + a

Commutative Property of Multiplication

a • b = b • a

Associative Property of Addition

(a+b) + c = a + (b+c)

Associative Property of Multiplication

(a•b) • c = a • (b•c)

Identity Property of Addition

a + 0 = a ; 0 + a = a

Identity Property of Multiplication

1 • a = a ; a • 1 = a

Inverse Property of Addition

a + (-a) = 0

Inverse Property of Multiplication

a • (1/2) = 1

Distributive Property

a (b+c) = a • b + a • c = (b+c) a