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 . Using this notation can be translated as “the positive value of ”.
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 .
Guided Practice
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Answers:
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Practice
Evaluate each of the following using a number line:
Evaluate each of the following:
Evaluate each of the following:
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Description
Learning Objectives
Here you'll learn about absolute value.