Real Numbers
list all sets to which each belongs with real numbers
-12/2
integer, rational
Commutative
the order in which you multiply does not change the product
Distributive Property
how to solve expressions to the form of a(b+c)
l-12-5l
12-5=7
2x3-8y4 if x=2 y=-1
2(2)3-8(-1)4
43+84
64+4,096
4,160
list all sets to which each belongs with real numbers
π- pi
Irrational
associative
the way the factors are grouped does not change to product
Reflexive Property
a number is always equal to itself
10-2x32+14
10x2x9+14
8x9+14
81+14
95
l-A+b2xcl
a=-2 b=3 c=4
2+32x4
2+9x4
11x4
44
list all sets to which each belongs with real numbers
square root 81
natural, whole, integer, rational
Identity property
any number multiplied by 1 keeps its identity
Symmetric Property
all real numbers x and y if x=y then y=x
(3-7)2+11 / l-2l+l-1l
-42+11/ 2+1
16+11/ 3
27/3
9
abc+5/5a
a=2 b=-15 c=-1
2x-15x-1+5/ 5x2
30+5/10
35/10
list all sets to which each belongs with real numbers
0
whole number, integer, rational
Inverse Property
if you multiply a humber by its reciprocal
transitive property
states that all real numbers x, y, and z, if x=y and y=z then x=z
w2+2xy
x=-3 w=-2 y=1
-22-6
4-6=-2
list all sets to which each belongs with real numbers
0.75 repeat
rational
Property of Zero
anything multiplied by zero will always equal zero
25+5=30