Question

Enter the missing values in the area model to find 3, left parenthesis, 7, z, minus, 2, right parenthesis3(7z−2)
3
7z
-6
Answer
Attempt 1 out of 2

According to the model above, 3, left parenthesis, 7, z, minus, 2, right parenthesis, equals3(7z−2)=

Answer 1

To fill in the area model for the expression \( 3(7z - 2) \), we can break it down into two parts: \( 3 \cdot 7z \) and \( 3 \cdot (-2) \).

1. Calculate \( 3 \cdot 7z \):
\[
3 \cdot 7z = 21z
\]

2. Calculate \( 3 \cdot (-2) \):
\[
3 \cdot (-2) = -6
\]

Now, we can place these results in the area model:

- The area representing \( 3 \cdot 7z \) would be \( 21z \).
- The area representing \( 3 \cdot (-2) \) would be \( -6 \).

So, based on the area model, we have:

\[
3(7z - 2) = 21z - 6
\]

Thus, the answer is:

\[
3(7z - 2) = 21z - 6
\]