Integers: The ENTIRE Number Line
What are Integers?
The set of all positive and negative whole
numbers on the number line.
Examples
Integers
5
-5
12
-90
32 (=9)
Non-Integers
3.4
-2.6
3/4
1/2
Positive Integers
All numbers that are to the ________ of zero.
Positive
thatthe
are to
As youIntegers
move toare
thethose
rightnumbers
of the zero
the RIGHT of the origin (0).
numbers ___________ in value.
$9 is more than $5.
Positive Integers are greater than 0.
Positive Integers do not have the (+) sign
in front
Negative Integers
All numbers that are to the ________ of zero.
Positive
numbers
thatthe
are to
As youIntegers
move toare
thethose
left of
the zero,
the RIGHT of the origin (0).
integers ___________ in value.
It is better to be $-3 in debt than $-8 in debt.
Positive Integers are greater than 0.
Negative Integers always have the (-) sign
in front
Positive Integers and Situations
The plane
ascended
32,000 ft into
the air.
The bird was
flying 14 feet
above the
ground.
The football
player gained
5 yards.
Negative Integers and Situations
The fish was
swimming 45
feet below the
surface.
The diver descended
7 feet.
The man
has a debt
of $840.
Distance Between Integers
What is the distance between the house and the girl?
-3 and 4
Distance = 7 spaces
Add the positive values of each integer
+3
+ +4 = 7 spaces
Distance Between Integers
What is the distance between the boy and the car?
-4 and -1
Distance = 3 spaces
Subtract the positive values
4 – 1 = 3 spaces
How to Find the Distance Between Integers
✪ If the integers are the same sign __________
to get the distance between them.
Example : -8 and -15
✪ If the integers are different signs ________
to get the distance between them.
Example : 35 and -19
What is Absolute Value?
Absolute Value is the __________ a number
is away from ________ on the number line.
We use straight lines
n
to represent absolute value.
!
around the number
Find the Absolute Value of Integers
4
4 is 4 spaces from 0.
!3
-3 is 3 spaces from 0.
1
1 is 1 space from 0.
!2
-2 is 2 spaces from 0.
Absolute Value is ALWAYS a POSITIVE number!
You can never travel a negative distance!
Adding Integers
Checks & Balances
Deposits Balance Sheet
Description
Deposit
Problem
Balance
$40
Birthday Money
$30
30 + 40 =
$70
Paycheck
$250
70 + 250
$320
Interest from Savings
$3
320 + 3
$323
Tax Refund
$58
323 + 58
$381
Positive integers are like money going INTO the
bank.
When adding two positive integers, ADD the
integers and keep the sign POSITIVE.
Debts Balance Sheet
Description
Debt
Problem
Balance
Smiths Foods
$ -30
Cox Communications
$ -55
-30 + (-55) =
-85
Nevada Power
$ -110
-85 + (-110)
-195
School Fundraiser
$ -25
$ -40
-195 + (-25)
-220
-220 + (-40)
-260
Auto Insurance
-30
Negative integers are like money going OUT of
the bank.
When adding two negative integers, ADD the
integers and keep the sign NEGATIVE.
Money Balance Sheet
Description
Debt
Deposit
Problem
Balance
$120
Dick’s Sporting Goods
$ -15
$ 35
Commission
120 + (-15) =
$105
105 + 35
$140
Visa Card
$ -55
140 + (-55)
$85
Vet Bill
$ -100
85 + (-100)
$ -15
When adding integers with different signs,
SUBTRACT the integers and keep the sign of the
larger absolute value.