Use the distributive property to find the product. \( \begin{aligned} 5 \cdot 2.6 & =5 \cdot(2+\square) \\ & =(5 \cdot \square) \\ & =\square) \\ & =\square\end{aligned} \)

To find the product \( 5 \cdot 2.6 \) using the distributive property, we can break down \( 2.6 \) into \( 2 + 0.6 \). Let's follow the steps: 1. **Rewrite the expression**: \[ 5 \cdot 2.6 = 5 \cdot (2 + 0.6) \] 2. **Apply the distributive property**: \[ 5 \cdot (2 + 0.6) = 5 \cdot 2 + 5 \cdot 0.6 \] 3. **Calculate each part**: - First, calculate \( 5 \cdot 2 \): \[ 5 \cdot 2 = 10 \] - Next, calculate \( 5 \cdot 0.6 \): \[ 5 \cdot 0.6 = 3 \] 4. **Combine the results**: \[ 10 + 3 = 13 \] Thus, the final product is: \[ 5 \cdot 2.6 = 13 \] Now, filling in the blanks from your original format: \[ \begin{aligned} 5 \cdot 2.6 & = 5 \cdot (2 + 0.6) \\ & = 5 \cdot 2 + 5 \cdot 0.6 \\ & = 10 + 3 \\ & = 13 \end{aligned} \]