Solve the mathematical problem involving absolute value.

|(1/2)(−8)|+|10−4|

(1 point)
Responses

10
10

−2
negative 2

2
2

−10
negative 10

1 answer

To solve the expression \(|(1/2)(−8)| + |10−4|\), we can break it down step by step.

  1. Calculate the first part: \[ (1/2)(-8) = -4 \] Now apply the absolute value: \[ |-4| = 4 \]

  2. Calculate the second part: \[ 10 - 4 = 6 \] Now apply the absolute value: \[ |6| = 6 \]

  3. Combine the results: \[ 4 + 6 = 10 \]

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