Download Topic: Number Sets Questions/Main Ideas: Name: Date: • How are the

Topic:
Number Sets
Questions/Main Ideas:
•
How are the
number sets
related?
•
What are the
properties of the
real numbers?
Name: _______________________________
Date: ______________________
Objective: We will be able to identify subsets of the complex number system and apply
properties of real numbers.
I can identify what subset of the complex number system a number belongs to and use
properties of the real numbers to solve an algebraic proof.
Property
Addition
Multiplication
Commutative
Associative
Identity
Inverse
Distributive
Transitive
Substitution
•
What are some
Examples:
examples of using
1. − 3 + 3 =0
the properties of
real numbers?
3. 1 • (ab) =ab
2. (−6 + 1) + 7 =−6 + (1 + 7)
4. − 3 + 0 =−3
Transformations That Produce Equivalent Equations
•
How can we solve
linear equations
using properties
or real numbers?
Addition Property of
Equality
Subtraction Property of
Equality
Multiplication Property
of Equality
Division Property of
Equality
Ex:
4x + 9 =
21
4x + 9 − 9 = 21 − 9
4x
= 12
4x ÷ 4
=
12 ÷ 4
x
=3
Examples:
______________
______________
______________
______________
______________
2
x − 7 =4
3
1. 7x − 41 =−13
2.
3. x + 5 = 25 − 4 x
4. 5 x + 17 = 4( x + 3)
•
What is the
transitive
property?
The prefix trans means_______________________
The transitive property takes ________________ statements and unites them
by
_______________________________.
Example:
If x y=
=
and y z , then ___________________.
If I am hungry, I eat too many pretzels. If I eat too many pretzels, then I
am thirsty. If I am thirsty, then I drink a diet coke.
Try these on your own.
1. =
If a b=
and b c, then
2.
If yesterday were Friday, then today is Saturday. If today is Saturday, then
tomorrow is Sunday.
3. =
If pq rs
=
, and rs tu , then
Summary:
4.
If it is snowing, then school is closed. If school is closed, then I hang out
with my friends.
5.
If you are in Algebra 2, then you take the SOL. If you take the SOL, you will
pass the SOL.