(3 points)

Question

Use the Distributive Property to simplify

7(6+5)
=
+
=

Answer 1

To use the Distributive Property to simplify \(7(6+5)\), we distribute the \(7\) to both \(6\) and \(5\).

1. First, distribute \(7\): \[ 7(6 + 5) = 7 \cdot 6 + 7 \cdot 5 \]

2. Now, calculate each term: \[ 7 \cdot 6 = 42 \] \[ 7 \cdot 5 = 35 \]

3. Combine the results: \[ 42 + 35 = 77 \]

So, we can represent it as: \[ 7(6 + 5) = 7 \cdot 6 + 7 \cdot 5 = 42 + 35 = 77 \]

In summary: \[ 7(6 + 5) = 42 + 35 = 77 \]