Question

Solve the mathematical problem involving absolute value.
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:
\[
\boxed{-120}
\]