Solve the mathematical problem involving absolute value.

Question

|(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: \[ \boxed{10} \]