Download Section 1-2 Simplifying Expressions

Section 1-2 Simplifying
Expressions
AND NOT THIS KIND OF EXPRESSION…..
How many words do you know the meaning of????
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Numerical Expression Value
Equation
Inequality symbol
Inequality
Sum
Difference
Product
Quotient
Power, base, exponent
Grouping symbols
Variable
Values
Algebraic expression
2. Kinds of Numbers
natural numbers
0
whole numbers
0
integers
0
2. Kinds of Numbers
3
4
rational numbers
5
6
7
8
2. Kinds of Numbers
3
4
irrational numbers
5
6
7
8
#9
What kind of number
is most useful to
describe:
the number of
siblings a person has
whole
#10
True or false:
Every rational number
is also an integer.
If false, give a
counterexample.
#10
#11
True or false:
True or false:
Every rational number
is also an integer.
Every whole number
is also a natural
number.
If false, give a
counterexample.
false
If false, give a
counterexample.
#11
#12
True or false:
True or false:
Every whole number
is also a natural
number.
Every natural number
is also a rational
number.
If false, give a
counterexample.
If false, give a
counterexample.
false
#12
#13
True or false:
True or false:
Every natural number
is also a rational
number.
Every negative
number is also an
integer.
If false, give a
counterexample.
If false, give a
counterexample.
true
#13
True or false:
Every negative
number is also an
integer.
If false, give a
counterexample.
true
Properties of Equality
 Reflexive
 Symmetric
 Transitive
 Addition
 Multiplication
3. Properties
Distributive
a(b
Property
do some distributive
property examples here
+ c)= ab + ac
3. Properties
Commutative
Property of
Addition
6+7=7+6
3. Properties
Commutative
Property of
Addition
5 - 10 = -10 + 5
3. Properties
Commutative
Property of
Multiplication
3. Properties
Associative
Property of
Addition
6+3+5
3. Properties
Associative
Property of
Addition
(6 + 3) + 5
3. Properties
Associative
Property of
Addition
6 + (3 + 5)
3. Properties
Associative
Property of
Multiplication
3. Properties
Identity
Property of
Addition
5+
5
=
3. Properties
Identity
Property of
Multiplication
5•
=5
3. Properties
Inverse
Property of
Addition
7+
=0
3. Properties
Inverse
Property of
Multiplication
7•
=1
3. Properties
Inverse
Property of
Addition
7+
0
=
3. Properties
Inverse
Property of
Multiplication
5•
=1
Closure Properties
 A+B and AB are unique real numbers.
 Ex: The sum of 12 and 6 is the real number 18 and
the product of 12 and 6 is the real number 72.
4. Classwork
1.
5.
2.
6.
3.
7.
4.
8.
4. Classwork
1. Is subtraction commutative?
2. Is subtraction associative?
3. Is division commutative?
4. Is division associative?
5. Simplify each expression: (justify each step)
3(15x - 9y)+5(4y – x)
¼ (6 + 20y) – ½ (19 – 8y)
 For practice, please complete the following
homework Sections 1.1 and 1.2) I will hand out the
assignment guide to you. It is due the next time I see
you! Good luck and good job today.
 http://devour.com/video/world-record-parallel-
parking/
http://youtube/wwWzjjbIISw
What is a star “*” operation?