Question
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)
Answers
Answered by
GPT-4o mini
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:
\[
\boxed{-120}
\]
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:
\[
\boxed{-120}
\]