Question
Use the distributive property to find the product. \[ \begin{aligned} 2 \cdot 9.35 & =2 \cdot(9+\square) \\ & =(2 \cdot \square)+(2 \cdot \square) \\ & =\square) \\ & =\end{aligned} \]
Ask by Hodges Hanson. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\[
2 \cdot 9.35 = 18.70
\]
Solution
To use the distributive property to find the product \( 2 \cdot 9.35 \), we can break down \( 9.35 \) into \( 9 + 0.35 \).
Let's follow the steps:
1. **Rewrite the expression**:
\[
2 \cdot 9.35 = 2 \cdot (9 + 0.35)
\]
2. **Apply the distributive property**:
\[
2 \cdot (9 + 0.35) = (2 \cdot 9) + (2 \cdot 0.35)
\]
3. **Calculate each part**:
- First, calculate \( 2 \cdot 9 \):
\[
2 \cdot 9 = 18
\]
- Next, calculate \( 2 \cdot 0.35 \):
\[
2 \cdot 0.35 = 0.70
\]
4. **Combine the results**:
\[
18 + 0.70 = 18.70
\]
Thus, the final result is:
\[
2 \cdot 9.35 = 18.70
\]
So, filling in the blanks:
\[
\begin{aligned}
2 \cdot 9.35 & = 2 \cdot (9 + 0.35) \\
& = (2 \cdot 9) + (2 \cdot 0.35) \\
& = 18 + 0.70 \\
& = 18.70
\end{aligned}
\]
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Simplify this solution Bonus Knowledge
The distributive property allows us to break down multiplication into simpler parts. In your given expression, you can rewrite \(9.35\) as \(9 + 0.35\). Therefore, we have: \[ 2 \cdot 9.35 = 2 \cdot (9 + 0.35) = (2 \cdot 9) + (2 \cdot 0.35). \] Now calculating those parts gives: \[ (2 \cdot 9) + (2 \cdot 0.35) = 18 + 0.70 = 18.70. \] So the final answer is: \[ 2 \cdot 9.35 = 18.70. \]
