Pre-Algebra : Absolute Value

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #364 : Operations

Possible Answers:

Correct answer:

Explanation:

The symbol | | around each real number signifies absolute value. Absolute value is the true magnitude of a real number, without looking at the positive or negative sign attached to it. To rewrite this problem when solving, remove all absolute value symbols as well as signs.

Example Question #368 : Operations

Solve the following:

Possible Answers:

Correct answer:

Explanation:

The absolute value of a number is defined as the position or distance of the number from zero on the number.  Because it is a distance, the value cannot be negative.  So,

and

so

Example Question #365 : Operations

If  , what is the value of    ?

Possible Answers:

Correct answer:

Explanation:

Substitute 5 for  in the given equation and evaluate.

Remember that the absolute value of a number is its distance from zero on a number line. Distance is always positive; therefore, you can rewrite the expression.

Subtracting a positive number from a negative number is the same as adding a negative number. 

Solve.

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