Question

Enter the missing values in the area model to find 6, left parenthesis, 8, z, minus, 5, right parenthesis6(8z−5)
6
8z
-30
Answer
Attempt 1 out of 2

According to the model above, 6, left parenthesis, 8, z, minus, 5, right parenthesis, equals6(8z−5)=

Answer 1

To find the value of \( 6(8z - 5) \) using the area model, we start by distributing \( 6 \) over each part of the expression \( (8z - 5) \).

1. Multiply \( 6 \) by \( 8z \):
\[
6 \cdot 8z = 48z
\]

2. Multiply \( 6 \) by \( -5 \):
\[
6 \cdot (-5) = -30
\]

Now, we can combine the results to express the full multiplication:

\[
6(8z - 5) = 48z - 30
\]

Thus, the final expression is:
\[
6(8z - 5) = 48z - 30
\]