Evaluate each expression. See Example 5. -|4.5|

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Recognize that the expression involves the absolute value function and a negative sign outside it: \(- |4.5|\).

Recall that the absolute value of a number is its distance from zero on the number line, which is always non-negative. So, \(|4.5| = 4.5\).

Substitute the absolute value back into the expression: \(- |4.5| = - 4.5\).

Understand that the negative sign outside the absolute value changes the sign of the result, making it negative.

Therefore, the expression simplifies to \(-4.5\).

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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, so |-4.5| equals 4.5. This concept is essential for evaluating expressions involving absolute value symbols.

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