Question

Solve the mathematical problem involving absolute value.

|(1/2)(−8)|+|10−4|

Answer 1

To solve the expression \(|(1/2)(−8)| + |10−4|\), we will calculate each absolute value step by step.

1. **Calculate \((1/2)(−8)\)**:
\[
(1/2)(−8) = -4
\]

2. **Find the absolute value**:
\[
|−4| = 4
\]

3. **Now calculate \(10 - 4\)**:
\[
10 - 4 = 6
\]

4. **Find the absolute value**:
\[
|6| = 6
\]

5. **Now add both absolute values**:
\[
4 + 6 = 10
\]

Thus, the final result is:
\[
\boxed{10}
\]