Bounds

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  • Bounds
    • Upper and lower bounds
      • When a measurement is rounded to a given unit, the actual measurement can be anything up to half a unit bigger or smaller
      • When a measurement is truncated to a given unit, the actual measurement can be a whole unit smaller or bigger
    • Maximum and minimum values for calculations
      • When a calculation is done using rounded values there will be a discrepancy between the calculated value and the actual value
      • The lower bound (lowest number the rounded number could be) will be bigger then or equal to
      • The upper bound (highest number the rounded number could be) will be less than
      • In a calculation where more then one value has been rounded you need to think what bounds to use to get the highest or lowest values that the calculation could equal
        • Subtracting: Lowest value would be to have the LB of the first number and the UB of the second number
        • Division: To get the lowest value use the lower bound of the first number and the UB of the second number
        • Addition: To get the lowest value use both LB, to get highest value use both UB
        • Multiplication: To get the lowest value use both LB, to get the highest value use both UB

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