The greatest number that rounds to 6000 when rounded to the nearest thousand is 6000 itself. Any number from 5500 to 6499 will round to 6000, but the highest number in that range is 6499. Therefore, 6499 is the greatest number that rounds to 6000.
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749 is the greatest number that rounds down to 700.
100.49999999999999999999999999...
350
6500 (rounded down to 6000).
99