12.4 cm
They’re the ‘real value’ of a rounded number. Upper and Lower Bounds are concerned with accuracy. Any measurement must be given to a degree of accuracy, e.g. 'to 1 d.p.', or ' 2 s.f.', etc. Once you know the degree to which a measurement has been rounded, you can then find the Upper and Lower Bounds of that measurement. Phrases such as the 'least Upper Bound' and the 'greatest Lower Bound' can be a bit confusing, so remember them like this: the Upper Bound is the biggest possible value the measurement could have been before it was rounded down; while the Lower Bound is the smallest possible value the measurement could have been before it was rounded up.
300
In mathematical terms, an upper bound of a set of numbers is a value that is greater than or equal to every number in that set. For example, if a set consists of numbers less than or equal to 5, then 5 is an upper bound. An upper bound may or may not be a member of the set itself, and a least upper bound, or supremum, is the smallest of all possible upper bounds for the set.
In mathematical terms, an upper bound of a set of numbers is a value that is greater than or equal to every number in that set. For example, if a set of numbers has an upper bound ( M ), then for every element ( x ) in the set, it holds that ( x \leq M ). Upper bounds can be finite or infinite, and a set may have multiple upper bounds, but the least upper bound, or supremum, is the smallest of these bounds.
The upper bound of a number is the smallest whole number that is greater than or equal to the given number. In this case, the upper bound of 6800 is 6800 itself. The lower bound of a number is the largest whole number that is less than or equal to the given number. Therefore, the lower bound of 6800 is also 6800.
The lower bound is 0.5 less and the upper bound is 0.5 more.
They’re the ‘real value’ of a rounded number. Upper and Lower Bounds are concerned with accuracy. Any measurement must be given to a degree of accuracy, e.g. 'to 1 d.p.', or ' 2 s.f.', etc. Once you know the degree to which a measurement has been rounded, you can then find the Upper and Lower Bounds of that measurement. Phrases such as the 'least Upper Bound' and the 'greatest Lower Bound' can be a bit confusing, so remember them like this: the Upper Bound is the biggest possible value the measurement could have been before it was rounded down; while the Lower Bound is the smallest possible value the measurement could have been before it was rounded up.
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 < 1000.5To the nearest 2: 999 ≤ x < 1001To the nearest 4: 998 ≤ x < 1002To the nearest 5: 997.5 ≤ x < 1002.5To the nearest 8: 996 ≤ x < 1004To the nearest 10: 995 ≤ x < 1005To the nearest 20: 990 ≤ x < 1010To the nearest 25: 987.5 ≤ x < 1012.5To the nearest 40: 980 ≤ x < 1020To the nearest 50: 975 ≤ x < 1025To the nearest 100: 950 ≤ x < 1050To the nearest 125: 937.5 ≤ x < 1067.5To the nearest 200: 900 ≤ x < 1100To the nearest 250: 875 ≤ x < 1125To the nearest 500: 750 ≤ x < 1250To the nearest 1000: 500 ≤ x < 1500
It is 57.5 mm.
Oh, dude, when you're talking about the upper and lower bounds of 9 to the nearest integer, you're basically asking for the numbers closest to 9, right? So, the upper bound would be 10 because it's the next whole number above 9, and the lower bound would be 9 because, well, it's 9. Like, it's not rocket science, man.
6.42 m and 5.97 m( both to the nearest cm)
300
Lower bound is 17.6 and upper bound is 17.8
The lower bound of 50000 to one significant figure is 40000, and the upper bound is 60000. This is because rounding 50000 to one significant figure gives us 50000, with the range extending to the nearest values that would still round to that figure.
A function whose upper bound would have attained its upper limit at a bound. For example, f(x) = x - a whose domain is a < x < b The upper bound is upper bound is b - a but, because x < b, the bound is never actually attained.
The answer is B.
An upper bound estimate is a estimate that is greater than the actual solution.