The largest four-digit number divisible by 38 is 9994.
Here's how we arrive at that conclusion:
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Understanding the Problem: We need to find the largest number with four digits that can be divided by 38 without leaving a remainder.
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Largest Four-Digit Number: The biggest four-digit number is 9999.
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Finding the Divisible Number: We can find the required number in a couple of ways:
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Division and Adjustment:
- Divide the largest four-digit number (9999) by 38. This results in approximately 263.13.
- Take the integer part of that result (263) and multiply it by 38: 263 * 38 = 9994.
- Since 9994 is less than 9999 and divisible by 38, this is our answer.
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Working Backwards:
- Start with 9999 and incrementally subtract 1 and check divisibility by 38. This would take more time but would give the same result.
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Reference Confirmation: The provided reference explicitly states that the biggest four-digit number divisible by 38 is 9994 (16-Sept-2018).
Therefore, the answer is 9994.
