Solve the mathematical problem involving absolute value.

Question

|(1/2)(−8)|+|10−4|

(1 point)
Responses

2
2

10
10

−10
negative 10

−2

Answer 1

To solve the expression \(|(1/2)(−8)| + |10−4|\), we'll calculate each absolute value separately.

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

2. Calculate \(|10−4|\): \[ 10 - 4 = 6 \] Therefore, \[ |10−4| = |6| = 6 \]

Now, combine the results: \[ |(1/2)(−8)| + |10−4| = 4 + 6 = 10 \]

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