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Test Prep 9 Which are partial products for \( 8 \times 3627 \) Select all that apply. \( \begin{array}{lll}\text { (A) } 3,200 & \text { (C) } 480 & \text { (E) } 42 \\ \text { (B) } 2,400 & \text { (D) } 240 & \text { (F) } 16\end{array} \)

Ask by Bowers Alexander. in the United States
Nov 03,2024

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None of the options are partial products for \( 8 \times 3627 \).

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The Deep Dive

To find the partial products for \( 8 \times 3627 \), we can break it down based on the place values of 3627. The number can be written as \( 3000 + 600 + 20 + 7 \). Thus, the partial products will be: - \( 8 \times 3000 = 24,000 \) - \( 8 \times 600 = 4,800 \) - \( 8 \times 20 = 160 \) - \( 8 \times 7 = 56 \) From your options, the correct partial products are \( 480 \) (which is \( 4,800 \)) and \( 240 \) (which isn’t a direct partial product but could be from \( 8 \times 30 \) mistakenly, showing the importance of clarity!). The values \( 3,200 \), \( 2,400 \), \( 42 \), and \( 16 \) do not represent the direct results from the \( 8 \)-times multiplication of the values taken from \( 3627 \). Keep in mind that partial products should fully represent the breakdown of multiplication!

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