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There is no such number.

Suppose x were such a number. Then consider (x+12000)/2, the number halfway between x and 12000. It is easy to show that

  • it is less than 12000 and
  • it is closer to 12000 than x was.

So x could not have been the solution.

But using the same process you can find the number halfway between this number and 12000 which will still be less than 12000 and nearer still. This can go on forever, and you will never reach the closest.

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9y ago
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9y ago

The closest whole number is 11999.

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Q: What is the number less than but closest to 12000?
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