Solve the mathematical problem involving absolute value.

Question

2−|13⋅−9|−5

Answer 1

To solve the expression \( 2 - |13 \cdot -9| - 5 \), we will follow the order of operations:

1. First, calculate the product inside the absolute value: \[ 13 \cdot -9 = -117 \]

2. Next, compute the absolute value: \[ | -117 | = 117 \]

3. Substitute this back into the original expression: \[ 2 - 117 - 5 \]

4. Now, simplify the expression step by step. First, do \( 2 - 117 \): \[ 2 - 117 = -115 \]

5. Finally, subtract 5: \[ -115 - 5 = -120 \]

Therefore, the final answer is: \[ \boxed{-120} \]