Warm Up
Simplify the Following:
1. -17 + 9
2. -12(-9)
3. 4 + (-4) -3
4. 8 – (-3)
Answers
1. - 8
2. 108
3. - 3
4. 11
Compare the two Integers:
5. -7 ___ -8
5. >
Lesson 1.4
Absolute Value
Math Year 1
Standard 1.1.3
What is Absolute Value?
The absolute value of x is the distance x
is from zero.
The absolute value of x is written as
x
___________
Distance, and Absolute Value, and
Word Problems…oh my!
We see absolute value in
the following “real world”
applications:
•Submarines/Sea Level
•Temperature
•Distance/Height
•Numbers
•Travel
So How is Absolute Value
Calculated?
Since absolute value is the distance from zero,
absolute value will always be positive.
Let’s look at a number line!
-6
0
6
*The absolute value of 6 would be 6 because it is six units from zero.
*The absolute value of -6 would be 6 because it is six units from zero.
Practice…
1.
3.
3
 103
2.
5
4.
17
Connecting distance and absolute
value
The distance between two numbers is the
absolute value of their difference .
On a number line plot -3 and 9. Find the
distance between them.
Now find the difference of -3 and 9 and take
the absolute value of that answer.
What did you notice?
More Practice!
1. What is the distance between 14 and -20?
14  (20)
2. Find the distance between -17 and -13.
17  (13)
3. Calculate the distance between 9 and 29.
9  29
4. 3  4
5. 26  7  2
6. 3  2  2 5  1
Applications
1. What is the change in temperature from 20 degrees to
63 degrees?
2. What is the change in temperature from a chilly -12
degrees outside and a warm 82 degrees inside?
3. A submarine is 47.8 meters below sea level. They are
sending a signal to a tower 112 meters above sea
level. What is the vertical distance the signal must
travel?
Last One!
An Olympic diver completed the following dives.
Dive From
Type
Distance jumped vertically
above platform
Low platform #1
Inward
1.6 ft.
High platform #2
Inward
9 inches
The low dive is 9 feet above the surface of the water.
The high dive is 22 feet above the surface of the water.
The water is 16 feet deep. All divers touch bottom after a
dive.
What distance did the diver travel from the low platform? The
high platform?
Summary:
Write two things about absolute value
Homework:
Lesson 1.4 Worksheet