Question
Use the distributive property to find the product \[ \begin{aligned} 2 \cdot 9.35 & =2 \cdot(9+\square \\ & =(2 \cdot \square) \\ & =\square \\ & =\square\end{aligned} \]
Ask by Vega Reeves. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\[ 2 \cdot 9.35 = 18.7 \]
Solution
To find the product \(2 \cdot 9.35\) using the distributive property, we can break down the multiplication into two parts: \(2 \cdot 9\) and \(2 \cdot 0.35\).
Given:
\[ 2 \cdot 9.35 = 2 \cdot (9 + 0.35) \]
Using the distributive property, we can rewrite the expression as:
\[ 2 \cdot 9 + 2 \cdot 0.35 \]
Now, we can calculate each part separately:
\[ 2 \cdot 9 = 18 \]
\[ 2 \cdot 0.35 = 0.7 \]
Therefore, the product \(2 \cdot 9.35\) is equal to \(18 + 0.7\).
\[ 2 \cdot 9.35 = 18 + 0.7 = 18.7 \]
So, the product \(2 \cdot 9.35\) is equal to \(18.7\).
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Beyond the Answer
To use the distributive property, we can express 9.35 as a sum of 9 and 0.35. So, we start with: \[ 2 \cdot 9.35 = 2 \cdot (9 + 0.35) \] Now, applying the distributive property: \[ = 2 \cdot 9 + 2 \cdot 0.35 \] Calculating each part: \[ = 18 + 0.70 \] Finally, adding these together: \[ = 18.70 \] Thus, the complete calculation is: \[ \begin{aligned} 2 \cdot 9.35 & = 2 \cdot (9 + 0.35) \\ & = 2 \cdot 9 + 2 \cdot 0.35 \\ & = 18 + 0.70 \\ & = 18.70 \end{aligned} \]