Use the distributive property to find the product. \[ \begin{aligned} 8 \cdot 3.8 & =8 \cdot(3+\square)+(8 \cdot \square) \\ & =(8 \cdot \square) \\ & =\square \square \square)\end{aligned} \]

To solve the problem using the distributive property, we start with the expression \( 8 \cdot 3.8 \). 1. **Break down \( 3.8 \)**: We can express \( 3.8 \) as \( 3 + 0.8 \). So, we rewrite the expression: \[ 8 \cdot 3.8 = 8 \cdot (3 + 0.8) \] 2. **Apply the distributive property**: According to the distributive property, we can distribute \( 8 \) across the sum: \[ 8 \cdot (3 + 0.8) = 8 \cdot 3 + 8 \cdot 0.8 \] 3. **Calculate each term**: - First, calculate \( 8 \cdot 3 \): \[ 8 \cdot 3 = 24 \] - Next, calculate \( 8 \cdot 0.8 \): \[ 8 \cdot 0.8 = 6.4 \] 4. **Combine the results**: \[ 8 \cdot 3.8 = 24 + 6.4 = 30.4 \] Thus, the final product is: \[ 8 \cdot 3.8 = 30.4 \] In the original format, we can fill in the blanks: \[ \begin{aligned} 8 \cdot 3.8 & = 8 \cdot (3 + 0.8) + (8 \cdot 0.8) \\ & = 24 + 6.4 \\ & = 30.4 \end{aligned} \] So, the completed expression is: \[ \begin{aligned} 8 \cdot 3.8 & = 8 \cdot (3 + 0.8) + (8 \cdot 0.8) \\ & = 30.4 \end{aligned} \]