Algebra 1H Basic Number Association Property

6+8=8+6

Commutative Property of Addition

3+(5∙2)=3+(2∙5)

Commutative Property of Multiplication

2+(7+8)=(2+7)+8

Associative Property of Addition

(7∙5)6=7(5∙6)

Associative Property of Multiplication

3+0=3

Additive Identity Property

9(1)=9

Multiplicative Identity Property

-14+14=0

Additive Inverse Property

6(8+7)=6∙8+6∙7

Distributive Property

8(0)=0

Multiplicative Property of Zero

x+7=13

seven more than a number is thirteen

expression

A statement consisting of numbers, variables and operations

variable

A letter or symbol that replaces a number

Closure

a set is closed under an operation if every time we perform the operation between 2 members of the set the answer is also a member of the set

Natural Numbers (counting numbers)

1, 2, 3, 4, 5, 6, 7, 8, 9, etc.

Whole numbers that are not negative.

whole numbers

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Integers

The set of whole numbers and their opposites

rational number

any number that can be written as a fraction
Can be expressed as a terminating decimal.
Can be expressed as a repeating decimal.

irrational numbers

cannot be expressed as fraction- decimals that do not terminate and do not repeat

real numbers

All numbers on the number line

imaginary number

numbers that do not show up on the number line

Multiplicative Property of Zero

10 x 0= 0

multiplicative property of negative 1

24 x -1=-24