Warm Up

Simplify the Following:

1. -17 + 9

2. -12(-9)

3. 4 + (-4) -3

4. 8 – (-3)

Compare the two Integers:

5. -7 ___ -8

Answers

1. - 8

2.108

3. - 3

4.11

5.>

Math Year 1Standard 1.1.3

Lesson 1.4

Absolute Value

The absolute value of x is the distance x is from zero.

The absolute value of x is written as ___________x

What is Absolute Value?

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

Since absolute value is the distance from zero, absolute value will always be positive.

Let’s look at a number line!

*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.

0

So How is Absolute Value Calculated?

-6 6

1. 2.

3. 4.

3

103

5

17

Practice…

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?

1. What is the distance between 14 and -20?

2. Find the distance between -17 and -13.

3. Calculate the distance between 9 and 29.

)20(14

)13(17

299

More Practice!

4. 3 4

5. 26 7 2

6. 3 2 2 5 1

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?

Applications

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?

An Olympic diver completed the following dives.

Last One!

Summary: Write two things about absolute value

Homework:Lesson 1.4 Worksheet