Question

Enter the missing values in the area model to find 4, left parenthesis, 8, w, minus, 4, right parenthesis4(8w−4)
4
8w
-4
Answer
Attempt 1 out of 2

According to the model above, 4, left parenthesis, 8, w, minus, 4, right parenthesis, equals4(8w−4)=

Answer 1

To fill in the missing values in the area model for the expression \(4(8w - 4)\), we can break down the expression using the distributive property.

1. Distribute \(4\) to both terms in the parentheses:
\[
4(8w) - 4(4)
\]

2. Calculate each term:
\[
4(8w) = 32w
\]
\[
4(-4) = -16
\]

So, the expression \(4(8w - 4)\) can be simplified as:
\[
4(8w - 4) = 32w - 16
\]

In the area model you've provided, the arrangement can be visualized as:
- The area representing \(4\) on one side.
- The area representing \(8w\) on the other side.
- The area representing \(-4\) completing the rectangle.

Therefore, the missing values are:
- The area corresponding to \(8w\) is \(32w\).
- The area corresponding to \(-4\) is \(-16\).

Final summary:
\[
\text{Answer: } 32w - 16
\]