Question

Solve the mathematical problem involving absolute value.
2−|1/3⋅−9|−5
(1 point)

Answer 1

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:
\[
\boxed{-6}
\]