Enter the missing values in the area model to find 4, left parenthesis, 8, w, minus, 4, right parenthesis4(8w−4)

Question

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: $$\text{Answer: }32w-16$$