Solve the mathematical problem involving absolute value.

2−|1/3⋅−9|−5
(1 point)

1 answer

To solve the expression \(2 - |1/3 \cdot -9| - 5\), we will follow these steps:

  1. Calculate the multiplication inside the absolute value:
    \[ \frac{1}{3} \cdot -9 = -3 \]

  2. Find the absolute value:
    \[ |-3| = 3 \]

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

  4. Now we can simplify this step-by-step:
    \[ 2 - 3 = -1 \]
    \[ -1 - 5 = -6 \]

So, the final answer is:
\[ \boxed{-6} \]