Solve the mathematical problem involving absolute value.

Question

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