To divide \( 32 \) by \( 6,938 \), we can set it up using long division or an area model. Here’s a simplified explanation of how you can do this division step by step.
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Set Up the Division: \( 32 \div 6,938 \) can be set up in long division format.
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Check How Many Times: Given that 32 is less than 6,938, we know that \( 32 \div 6,938 \) equals \( 0 \) with a remainder. In decimal form, we can calculate it further.
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Convert to Decimal: To convert this into a decimal:
- We can append zeros to 32 (making it 320, 3200, etc.) and see how many times 6,938 fits into these larger numbers:
- \( 6,938 \) does not fit into \( 32 \).
- \( 6,938 \) does not fit into \( 320 \).
- \( 6,938 \) does not fit into \( 3200 \).
- Next, check \( 32,000 \).
- \( 32,000 \div 6,938 \approx 4.61 \) would mean \( 6,938 \) fits into \( 32,000 \) about 4.61 times.
- We can append zeros to 32 (making it 320, 3200, etc.) and see how many times 6,938 fits into these larger numbers:
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Final Answer: Therefore, the result of \( 32 \div 6,938 \) is approximately \( 0.0046 \) (when rounded to four decimal places).
So you can finalize the answer as follows:
Final Answer
The result of \( 32 \div 6,938 \) is approximately 0.0046.
If you are looking for a representation using area models or place-value blocks, traditionally, that would illustrate how many times one set of blocks (representing 6,938) fits into another set (representing 32), which in this case shows that it doesn’t fit at all without going beyond 0.
Let me know if you need further assistance!
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