How do you find the absolute value of -6?

1 Answer
Zor Shekhtman
Jun 23, 2016

|-6| = 6|−6|=6,
as follows from the definition of absolute value of a real number.

Explanation:

Recall the DEFINITION of the absolute value of a real number.

The absolute value of a non-negative number (that is, positive or zero) equals to this same number.
For example,
|23|=23|23|=23,
|0|=0|0|=0,
|1234567890|=1234567890|1234567890|=1234567890

The absolute value of a negative number equals to a negation of this number (that is, a difference between 00 and this number).
For example,
|-23|=-(0-23)=23|−23|=−(0−23)=23,
|-1234567890|=-(0-1234567890)=1234567890|−1234567890|=−(0−1234567890)=1234567890

That's why |-6|=-(0-6)=6|−6|=−(0−6)=6.

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