Integers and
Absolute Value
1
What Are You Learning?
I
CAN find the absolute
value of rational numbers.
I CAN use integers to
represent various
situations.
I CAN compare integers.
2
Why Do I Need To Know This?
 Using
rational numbers to
represent situations is
important because it allows
you to use rational numbers to
symbolize real world events
and situations.
3
Vocabulary

Rational Numbers are numbers that can be
written as fractions, including terminating and
repeating decimals, and integers.

Integers are whole numbers and their opposites.

Negative integers are integers less than zero.

Positive integers are integers greater than zero.

Where might you find integers in the real world?
4
Notes

Zero is neither positive or negative.

Zero does NOT have an opposite.
5
Write an integer for each situation.
a.
The average temperature in Tennessee for May was 5 degrees
below normal.
b.
The average rainfall in Virginia for November was 5 inches above
normal.
c.
6°F below 0
d.
A loss of 11 yards
e.
A deposit of $16
f.
The price of a company’s stock fell 21 points in two days. Write
an integer to represent the amount the stock price fell.
6
Write an integer that
represents a loss of $20
│-20│
2. -20
3. │20│
4. 20
1.
1
2
3
4
5
6
7
8
9
10
21
22
23
24
25
26
27
28
29
30
11
12
13
14
15
16
17
18
19
20
7
Write an integer for each situation.
a.
The temperature of the liquid is 4 degrees below
zero.
b.
Seawater freezes 2 degrees below zero.
c.
12 degrees above Celsius.
d.
A debt of $5.
e.
23 feet above the surface.
8
Vocabulary
Absolute Value—the
distance the number
is from zero on a
number line.
9
Find the absolute value.
a.
b.
c.
|-3|
|3|
g.
|1.9|
h.
|-5/6|
i.
|-6.5|
j.
|2.5|
k.
|5 5/8|
|-10|
d.
|-5|
e.
|5|
f.
|-12|
10
Find the absolute value
|6|
b. |-6|
c. |-4|
d. |-5|
e. |-5| - |2|
f. |-4| - |-3|
a.
11
10
2. 4
3. -4
4. -10
25%
25%
-4
25%
4
Evaluate │7 │ + │-3 │
25%
1
2
3
4
5
6
7
8
9
10
21
22
23
24
25
26
27
28
29
30
11
12
13
14
-1
0
10
1.
15
16
17
18
19
20
12
Evaluate │3│ - │-2│
25%
25%
25%
25%
-1
2. -5
3. 5
4. 1
1
2
3
4
5
6
7
8
9
10
21
22
23
24
25
26
27
28
29
30
11
12
13
14
15
16
1
5
-5
-1
1.
17
18
19
20
13
Determine whether each statement is true
or false. If false, give a counterexample.
a.
Every integer has an
absolute value.
b.
The absolute value of
every integer is positive.
14
Complete each sentence with a
word that makes it true.
a.
An integer is negative, positive, or ____.
b.
All _____ integers are less than zero.
c.
The opposite of a _______ number is
negative.
d.
The absolute value of an integer is never
________.
15

To graph a point on a number line, draw a point on
the line at its location.

When 2 numbers are graphed on a number line, the
number to the left is always less than the number to
the right.

The number to the right is always greater than the
number to the left.

> greater than
< less than
16
Use < or > to make each
statement true.
a.
-5
-3
a.
-10 -13
b.
-8
-4
b.
-9
c.
5
-1
-5
17
Use < or > to make the statement
true.
-3 □ 5
1
2
3
4
5
6
7
8
9
10
21
22
23
24
25
26
27
28
29
30
11
12
13
14
15
25%
25%
16
17
+
<
25%
>
25%
=
>
2. <
3. =
4. +
1.
18
19
20
18
Class Work
19