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Question
at a movie theater, the small bag of popcorn holds 8 cups of popcorn. the large bag holds 50% more than that. how much popcorn does the large bag hold? youre trying to find 1.5·8. whats another way you can write this expression? 150%·8 = ? 1.5·8 = ? □·8 + □·8 = ? 0.5 1
Step1: Decompose 1.5
We know that \(1.5 = 1 + 0.5\) because \(1 + 0.5 = 1.5\).
Step2: Apply Distributive Property
Using the distributive property of multiplication over addition, \(a\times(b + c)=a\times b + a\times c\), so \(1.5\times8=(1 + 0.5)\times8 = 1\times8+0.5\times8\).
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The two boxes should be filled with \(1\) and \(0.5\) respectively, so the expression is \(1\times8 + 0.5\times8\).