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Cortinue to use Cammen's algorthim to complete the subtraction. Select the correct choice below and fill in the answer box to complete your choice. A. B. C. \[ \begin{aligned} 72-38 & =(70+42)-(40+8) \\ & =(70-40)+(12-8) \\ & =\square \end{aligned} \] \[ \begin{aligned} 72-38 & =(70+12)-(40+8) \\ & =(70+40)-(12+8) \\ & =\square \end{aligned} \]

Ask by Romero Blake. in the United States
Mar 16,2025

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Answer

The correct choice is **Option B**, and the completed expression is: \[ 72 - 38 = (70 + 12) - (40 + 8) = (70 - 40) + (12 - 8) = 34 \] So, the answer to fill in the box is **34**.

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Bonus Knowledge

Let's break it down with Cammen's algorithm! In the first equation: \[ (70-40)+(12-8) = 30 + 4 = 34 \] So, the box should be filled with \(34\). In the second equation: \[ (70+40)-(12+8) = 110 - 20 = 90 \] However, because this doesn't accurately follow the original subtraction, the first choice is indeed the right sequence to follow, and the box in the second one may not align properly. Thus, the answer for the first equation is \(34\). Enjoy math exploration!

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