To solve \( 848 \div 6 \) using the "box method," also known as the area model, you can follow these steps:
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Set Up the Box: Draw a rectangle and divide it into parts that make it easier to work with.
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Estimate Place Values: Break down 848 into manageable parts. You can think of it as \( 600 + 200 + 48 \).
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Divide Each Part:
- For \( 600 \): \( 600 \div 6 = 100 \)
- For \( 200 \): \( 200 \div 6 \approx 33.33 \) (You can think of it as \( 33\) remainder \( 1\))
- For \( 48 \): \( 48 \div 6 = 8\)
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Add Up the Parts:
- Now, calculate each part:
- \( 100 + 33 + 8 = 141\)
- Since \( 33 \) represents the whole number part of the division and \( 1 \) from the \( 200 \) leads to 1 leftover, you can reevaluate. The full answer without a fractional representation leads to:
- Thus, the final answer is \( 141\) with a remainder, if necessary, from the 1 leftover.
- Now, calculate each part:
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Conclusion: So, using the box method, \( 848 \div 6 = 141 R2 \) or \( 141.33 \) if you want it in decimal form.
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