Question

Solve the mathematical problem involving absolute value.

|(1/2)(−8)|+|10−4|

(1 point)
Responses

−10
negative 10

2
2

−2
negative 2
10

Answer 1

To solve the expression \(|(1/2)(-8)| + |10 - 4|\), we will evaluate each part step by step.

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

2. Find the absolute value of \(-4\):
\[
| -4 | = 4
\]

3. Calculate \(10 - 4\):
\[
10 - 4 = 6
\]

4. Find the absolute value of \(6\):
\[
|6| = 6
\]

5. Now, add the two absolute values together:
\[
4 + 6 = 10
\]

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