Question

Evaluate the expression. $$-\left|-\frac{8}{9}\right|$$

Short answer

The given expression evaluates to \( - \frac{8}{9}\)

Step-by-step solution

Evaluate the expression inside the absolute value

Here, the value inside the absolute value sign is \(-\frac{8}{9}\). This is a negative value, and applying the absolute value operation to a negative value makes it positive, giving us \(\frac{8}{9}\).

Apply the absolute value operation

The absolute value of the expression is taken, which means that the sign is disregarded, making it positive if not already so. Now, the absolute value of \(\frac{8}{9}\) is just \(\frac{8}{9}\) itself, because \(\frac{8}{9}\) is a positive value.

Apply the negative sign

Till now, our evaluated expression is \(\frac{8}{9}\). But there's a negative sign outside the absolute value, which means we have to take the negative of the expression. Thus, \( - \frac{8}{9}\) is the final evaluated result.