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I assume you are talking in terms of rounding, in which case subtract/add half the value to which the number is rounded to get the lower and upper bounds, and then the lower bound is inclusive and the upper bound is exclusive:

  • To the nearest whole number: 999.5 ≤ x < 1000.5
  • To the nearest 2: 999 ≤ x < 1001
  • To the nearest 4: 998 ≤ x < 1002
  • To the nearest 5: 997.5 ≤ x < 1002.5
  • To the nearest 8: 996 ≤ x < 1004
  • To the nearest 10: 995 ≤ x < 1005
  • To the nearest 20: 990 ≤ x < 1010
  • To the nearest 25: 987.5 ≤ x < 1012.5
  • To the nearest 40: 980 ≤ x < 1020
  • To the nearest 50: 975 ≤ x < 1025
  • To the nearest 100: 950 ≤ x < 1050
  • To the nearest 125: 937.5 ≤ x < 1067.5
  • To the nearest 200: 900 ≤ x < 1100
  • To the nearest 250: 875 ≤ x < 1125
  • To the nearest 500: 750 ≤ x < 1250
  • To the nearest 1000: 500 ≤ x < 1500
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โˆ™ 2017-05-31 05:42:51
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โˆ™ 2017-05-26 16:33:07

The answer depends on the degree of accuracy to which the number is given.

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Q: What is the upper and lower bounds for 1000?
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