Integer rules
LIKE signs
DIFFERENT signs
LIKE signs
DIFFERENT signs
Answer is
POSITIVE.
Add & take
the sign
Subtract
& take
the sign of
the largest
absolute
value.
Change it to addition
by:
+
Keepchangeflip
Answer
is
NEGATIVE.
_
2 + (4) = 6
4 + 8 =
Algebraclass.com
AlgebraAlgebraclass.com
Fractions Unit
1
By Karin Hutchinson Copyright Algebraclass.com 20092013
Algebraclass.com
What is a Factor?
As we begin our study of fractions, we need to have a clear understanding of factors. So, what is
a f
Operations With Signed Numbers
ADDITION  SUM
5+3 = 8
( 5) + ( 3) = 8
7 + ( 4 ) = 3
b 7 g + 4 = 3
UV
W
UV
W
a+b
Add in Absolute Value,
Keep the Sign
Subtract in Absolute Value,
Use the Sign of the Number that is Larger in Absolute Value
SUBTRACTION  DIFF
Solving AbsoluteValue Equations
When you take the absolute value of a number, you always end up with a positive number (or zero). Whether the input
was positive or negative (or zero), the output is always positive (or zero). For instance,  3  = 3, and
Integers as Exponents
Powers of 10 '
WW.
_ 10mm
103 7
42. I
.3 x 10 = 3x 1990 a. 0005: .5' >1 0.0001
: 3 X 2M 5 24 I
:3 X 0. 0! = 5' X ,9
Power of 10 Placevalue name Vaiue
103 = hundredmillions = 100,000,000
107 = tenmillions = 10,0
LAWS OF EXPONENTS
ax
Terminology:
n
a : Coefficient
x : Base
where
n : Exponent or Power
x a x b = x a +b
e j
xa
b
= x a b
R a b
x
xa 
=S
xb 
T x b1a
FG a IJ n =
H bK
0
x =1
for a b
for b > a
ex)
x 2 x 3 = x 2 + 3 = x5
ex)
e j
R ex)


S ex)

 No
Fractions
Terms
Numerator: which tells how many parts you have (the number on top)
Denominator: which tells how many parts in the whole (the number on the bottom)
3
4
Example:
=
3
4
is 3
parts have a dot out of 4
Proper fraction: the top number is less t