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Use the distributive property to find the product. \[ \begin{aligned} 2 \cdot 7.4 & =2 \cdot(\square+0.4) \\ & =(2 \cdot \square)+(2 \cdot \square) \\ & =\square \\ & =\square\end{aligned} \]

Ask by Hodgson Campbell. in the United States
Feb 20,2025

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Answer

\[ 2 \cdot 7.4 = 14.8 \]

Solution

To use the distributive property to find the product \( 2 \cdot 7.4 \), we can break down \( 7.4 \) into two parts: \( 7 \) and \( 0.4 \). Let's follow the steps: 1. **Identify the parts of the number**: \[ 7.4 = 7 + 0.4 \] 2. **Apply the distributive property**: \[ 2 \cdot 7.4 = 2 \cdot (7 + 0.4) \] 3. **Distribute \( 2 \) to both parts**: \[ = (2 \cdot 7) + (2 \cdot 0.4) \] 4. **Calculate each part**: - First part: \[ 2 \cdot 7 = 14 \] - Second part: \[ 2 \cdot 0.4 = 0.8 \] 5. **Combine the results**: \[ 14 + 0.8 = 14.8 \] Thus, the final answer is: \[ 2 \cdot 7.4 = 14.8 \] In the original format, we can fill in the squares as follows: \[ \begin{aligned} 2 \cdot 7.4 & = 2 \cdot (7 + 0.4) \\ & = (2 \cdot 7) + (2 \cdot 0.4) \\ & = 14 + 0.8 \\ & = 14.8 \end{aligned} \]

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Beyond the Answer

To apply the distributive property, we can express 7.4 as a sum: \( 7.4 = 7 + 0.4 \). So we rewrite the equation: \[ 2 \cdot 7.4 = 2 \cdot (7 + 0.4) = (2 \cdot 7) + (2 \cdot 0.4). \] Calculating that gives us: \[ (2 \cdot 7) = 14 \quad \text{and} \quad (2 \cdot 0.4) = 0.8. \] Adding these together: \[ 14 + 0.8 = 14.8. \] So the final answer is: \[ 2 \cdot 7.4 = 14.8. \]

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