Question
Use the distributive property to find the product. \[ \begin{aligned} 4 \cdot 8.15 & =4 \cdot(\square+0.15) \\ & =(4 \cdot \square)+(4 \cdot \square \\ & =\square\end{aligned} \]
Ask by Hodges Ortiz. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
4 × 8.15 = (4 × 8) + (4 × 0.15) = 32 + 0.6 = 32.6
Solution
We want to use the distributive property to rewrite 4 · 8.15. Notice that 8.15 can be split into two parts:
8.15 = 8 + 0.15
Now apply the distributive property:
4 · 8.15 = 4 · (8 + 0.15)
= (4 · 8) + (4 · 0.15)
Calculate each term:
4 · 8 = 32
4 · 0.15 = 0.6
Now combine the results:
32 + 0.6 = 32.6
Thus, the filled-in work is:
4 · 8.15 = 4 · (8 + 0.15) = (4 · 8) + (4 · 0.15) = 32 + 0.6 = 32.6
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Simplify this solution Extra Insights
To apply the distributive property, we can take the number 8.15 and break it into a simpler sum: \(8 + 0.15\). Thus, we rewrite the equation as: \[ 4 \cdot 8.15 = 4 \cdot (8 + 0.15) \] Now distribute 4 to both terms inside the parentheses: \[ = (4 \cdot 8) + (4 \cdot 0.15) \] Calculating each part gives us: \[ = 32 + 0.6 \] So, \[ 4 \cdot 8.15 = 32.6 \] The final answer is \(32.6\).
