Question
Use the distributive property to find the product. \[ \begin{aligned} 2 \cdot 30.8 & =2 \cdot(30+0.8) \\ & =(2 \cdot 30)+(2 \cdot 0.8) \\ & =\square \\ & =\square\end{aligned} \]
Ask by Klein Bernard. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 2 \cdot 30.8 = 61.6 \)
Solution
Calculate or simplify the expression \( 2*30+2*0.8 \).
Calculate the value by following steps:
- step0: Calculate:
\(2\times 30+2\times 0.8\)
- step1: Multiply the numbers:
\(60+2\times 0.8\)
- step2: Multiply the numbers:
\(60+1.6\)
- step3: Add the numbers:
\(61.6\)
The product of \(2 \cdot 30.8\) using the distributive property is \(61.6\).
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Simplify this solution Extra Insights
To continue from where you've left off using the distributive property: First, calculate \( 2 \cdot 30 \): \[ 2 \cdot 30 = 60 \] Next, calculate \( 2 \cdot 0.8 \): \[ 2 \cdot 0.8 = 1.6 \] Now, combine both results: \[ 60 + 1.6 = 61.6 \] So, filling in the squares: \[ \begin{aligned} 2 \cdot 30.8 & =2 \cdot(30+0.8) \\ & =(2 \cdot 30)+(2 \cdot 0.8) \\ & =60 \\ & =61.6\end{aligned} \]
