jep1

Real Numbers

100

list all sets to which each belongs with real numbers

-12/2

integer, rational

200

list all sets to which each belongs with real numbers

π- pi

Irrational

300

list all sets to which each belongs with real numbers

square root 81

natural, whole, integer, rational

400

list all sets to which each belongs with real numbers

0

whole number, integer, rational

500

list all sets to which each belongs with real numbers

0.75 repeat

rational

Properties

100

Commutative 

the order in which you multiply does not change the product

200

associative 

the way the factors are grouped does not change to product

300

Identity property

any number multiplied by 1 keeps its identity

400

Inverse Property

if you multiply a humber by its reciprocal 

500

Property of Zero

anything multiplied by zero will always equal zero

properties & Absolute Value

100

Distributive Property

how to solve expressions to the form of a(b+c)

200

Reflexive Property

a number is always equal to itself

300

Symmetric Property

all real numbers x and y if x=y then y=x

400

transitive property 

states that all real numbers x, y, and z, if x=y and y=z then x=z

500

l-25l+l+5l

25+5=30

absolute Value & order of operations

100

l-12-5l

12-5=7

200

10-2x3²+14

10x2x9+14

8x9+14

81+14

95

300

(3-7)²+11 / l-2l+l-1l

-4²+11/ 2+1

16+11/ 3

27/3

9

Evaluating Expressions

100

2x³-8y⁴             if x=2  y=-1

2(2)³-8(-1)⁴

4³⁺8⁴

64+4,096

4,160

200

l-A+b²xcl 

a=-2 b=3 c=4

2+3²x4

2+9x4

11x4

44

300

abc+5/5a

a=2 b=-15 c=-1

2x-15x-1+5/ 5x2

30+5/10

35/10

400

w²+2xy

x=-3 w=-2 y=1

-2²-6

4-6=-2