Solve the mathematical problem involving absolute value.%0D%0A2−|13⋅−9|−5%0D%0A2%0D%0A−%0D%0A|%0D%0A1%0D%0A3%0D%0A⋅%0D%0A−%0D%0A9%0D%0A|%0D%0A−%0D%0A5%0D%0A(1 point)

1 answer

To solve the expression \( 2 - |13 \cdot -9| - 5 \), let's break it down step by step.

First, calculate \( |13 \cdot -9| \):

  • \( 13 \cdot -9 = -117 \)
  • The absolute value of \(-117\) is \(117\).

Now, substitute this back into the expression: \[ 2 - |13 \cdot -9| - 5 = 2 - 117 - 5 \]

Next, perform the arithmetic:

  1. \( 2 - 117 = -115 \)
  2. \( -115 - 5 = -120 \)

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

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