Solve the mathematical problem involving absolute value.

2−|13⋅−9|−5
?

1 answer

To solve the expression \( 2 - |13 \cdot -9| - 5 \), we will follow these steps:

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

  2. Determine the absolute value: \[ |-117| = 117 \]

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

  4. Now perform the calculations step by step:

    • First, calculate \( 2 - 117 \): \[ 2 - 117 = -115 \]
    • Next, subtract 5 from -115: \[ -115 - 5 = -120 \]

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