2.12: Absolute Value
What is the absolute value represented by the number line below?
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Khan Academy Absolute Value Equations
Guidance
Absolute value in the real number system is the distance from zero on the number line. It is always a positive number.
Absolute value is always written as
Example A
Solution:
Example B
Solution:
Example C
Solution:
Concept Problem Revisited
What is the absolute value represented by the number line below?
Remember the definition of absolute value in the real number system is the distance from zero on the number line. Let’s look at the distance from the 6 to zero.
Therefore
Vocabulary
 Absolute Value

Absolute value in the real number system is the distance from zero on the number line. It is always a positive number and is represented using the symbol
x .
Guided Practice
1.
2.
3.
Answers:
1.
2.
3.
Practice
Evaluate each of the following using a number line:

−4.5=? 
−1=? 
∣∣−13∣∣=? 
4=? 
−2=?
Evaluate each of the following:

−1+3=? 
5−−2=? 
∣∣−12∣∣+∣∣−23∣∣=? 
−2.4−−1.6=? 
−3−−2.4=?
Evaluate each of the following:

2−4=? 
5−6=? 
∣∣−12−56∣∣=? 
2.3−3.7=? 
7.8−9.4=?
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Here you'll learn about absolute value.