Questions: Evaluate the expression. --5-5

Solution Steps

To evaluate the expression \(-|-5|-|5|\), we need to understand the order of operations and the properties of absolute values. The absolute value of a number is its distance from zero on the number line, without considering direction. Therefore, we first evaluate the absolute values inside the expression and then apply the negative signs.

First, we evaluate the absolute values in the expression \(-|-5|-|5|\). The absolute value of \(-5\) is \(5\), and the absolute value of \(5\) is also \(5\). Therefore, we have: \[ |-5| = 5 \quad \text{and} \quad |5| = 5 \]

Next, we apply the negative signs to the evaluated absolute values. The expression becomes: \[ -|-5| - |5| = -5 - 5 \]

Finally, we simplify the expression by performing the subtraction: \[ -5 - 5 = -10 \]

Final Answer