What is the upper and lower bounds for 1000?

Answer 1

The upper bound for 1000 is infinity (∞), as there is no limit to how large a number can be. The lower bound for 1000 is 0, as it is the smallest non-negative integer. In mathematical terms, the upper bound is said to be unbounded, while the lower bound is finite.

Answer 2

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

Answer 3

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