What is the absolute value of the number –6?
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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
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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3. . Remember that just because there is an absolute value in the problem doesn't mean that the answer is automatically positive!
Practice
Evaluate each of the following: