Evaluate each expression. See Example 5. |3⁄2|

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Recognize that the expression involves the absolute value function, denoted by vertical bars \(| \cdot |\), which returns the non-negative value of the number inside.

Identify the number inside the absolute value: \(\frac{3}{2}\).

Recall that the absolute value of a positive number is the number itself, so \(| \frac{3}{2} | = \frac{3}{2}\).

Express the final answer as a positive fraction or decimal, depending on the context of the problem.

No further simplification is needed since \(\frac{3}{2}\) is already in simplest form.

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Absolute Value

The absolute value of a number represents its distance from zero on the number line, regardless of direction. It is always non-negative. For example, |3/2| equals 3/2 because 3/2 is positive, while |-3/2| would also equal 3/2.

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Evaluating an expression means simplifying it to a single value by applying mathematical operations and rules. In this case, it involves applying the absolute value operation to the given fraction to find its magnitude.

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