Transcript you will need either a TI-82 or a TI

You will need to supply your
own calculators for this
course---you will need either
a TI-82 or a TI-84 graphing
calculator
If you are on the free or
reduced lunch program there
is a program through the
school that you can borrow a
calculator--please talk to me
privately if this is the case
Class work


P. 9 (4-40 even)
and
P. 15 (3-15 odd)
Order of Operations

Four basic operations
 addition
 subtraction
 multiplication
 division
Factors

When two or more
numbers are
multiplied to give a
certain product each
number is called a
factor of the product


8 x 2 = 16
some of the factors
of 16 are 2 and 8
Prime numbers

A whole number
greater than 1 that
has no whole
number factors


Examples
2, 3, 5, 7, 11...
Bases, Exponents, Powers
Exponent
5
Base
2
= 25
Power
Finding answers to problems
that have more than one
operation







PEMDAS (going left to right)
P = parentheses ()
E = exponents
M = multiply
D = divide
A = add
S = subtract
Properties of Operations
Closure

Addition

Multiplication
Sum of two real
numbers is a real
number
Product of two real
numbers is a real
number
A+ B = a real number
2+3=5
A x B = real number
3x 4 = 12
Commutative
Addition
Multiplication
You can change the
order in which two
real numbers are
added and get the
same answer
You can change the
order in which two
real numbers are
added and get the
same answer
2+3 = 3+2
4x 3 = 3x4
Associative
Addition
Multiplication
You can change the You can change the
order in which you
order in which you
add three real
multiply three real
numbers
numbers
(a+b) + c = a + (b+c)
(a x b) x c = a x (b x c)
Identity (The mirror property)
Addition
Multiplication
When zero (0) is
When one (1) is
added by a real
multiplies by a real
number the answer
number the answer
will be that real
will be that real
number
number
Inverse
Addition
For every real
number there
exists a real
negative number
A + -A = 0
3 + -3 = 0
-50 + 50 = 0
Multiplication
For every real
number a is not
equal to zero there
exists a real
fraction (1/a) such
that when it is
multiplied equals 1
(1/a) * (a) = 1
(4) * (1/4) = 1
Distributive Property

Combines operations
of multiplication and
addition,
multiplication over
addition
A * (B+C) = AB + AC
5(2+ x) = 5(2) + 5(x)
Multiplication Property
of Zero
For all real
numbers
multiplied by
zero, the
answer will be
zero
AB = 0,
if and only if
A=0 or B=0
3(0) = 0
Homework

P. 43 (3-9 and 12-20)
 P. 53 (5-31 odd)