# Bounds

- Created by: Jasmine.Li0278
- Created on: 08-11-18 23:16

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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

- Upper and lower bounds

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