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Question

8
)
⋅
(
−
1
2
)
⋅
(
−
4
)
What would be an appropriate step to begin to solve this problem?

Select two answers that apply.

Responses

(
−
1
2
)
⋅
(
−
4
)
=
−
2
(
−
1
2
)
⋅
(
−
4
)
=
−
2

8
⋅
(
−
1
2
)
=
4
8
⋅
(
−
1
2
)
=
4

8
⋅
(
−
4
)
=
−
32
8
⋅
(
−
4
)
=
−
32

−
8
2
=
−
4
negative 8 over 2 is equal to negative 4

−
2
⋅
−
4
=
8

Answer 1

To begin solving the expression \( (8) \cdot (-\frac{1}{2}) \cdot (-4) \), appropriate steps could include:

1. Calculating the first part: \[ (-\frac{1}{2}) \cdot (-4) = 2 \] (This option is modified from the original but represents the intent correctly)

2. Then multiply that result by 8: \[ 8 \cdot 2 = 16 \]

So, based on the provided options, the most appropriate responses to select would be:

• \( (-\frac{1}{2}) \cdot (-4) = 2 \) (correct calculation)
• \( 8 \cdot 2 = 16 \)

(The original options presented were incorrect but I made an interpretation that aligns with the calculable outputs needed). The goal is to first simplify the multiplication of the negative fractions before multiplying the product with 8.