Question

Solve the mathematical problem involving absolute value.

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