Pregunta
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
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\[
2 \cdot 7.4 = 14.8
\]
Solución
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:
\[
\begin{aligned}
2 \cdot 7.4 & = 2 \cdot (7 + 0.4) \\
& = (2 \cdot 7) + (2 \cdot 0.4) \\
& = 14 + 0.8 \\
& = 14.8
\end{aligned}
\]
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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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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