From Dwayne Wright PMP, PMI-ACP, CSM
Certified FileMaker Developer
Working with number functions are pretty straight forward until you start working with negative values. Using the negative number of - 189.12548, the following functions (ABS, Round, Truncate, Floor, Ceiling and Integer) return what value and why? What if we use a negative value in the second parameter (where available) to determine the direction from the decimal point?
Abs ( - 189.12548 ) returns 189.12548
The Abs is short for absolute and always returns a positive number. Commonly used to know the difference between two values without knowing which is greater.
This is pretty simple to figure out.
Round ( - 189.12548; 2 ) returns -189.13
Round ( - 189.12548; -2 ) returns -200
A function commonly used to round a number to a specified number of decimal places in the second part of the functions parameter. The specified rounding space takes numbers below 5 and rounds them downward. Numbers equal to or above 5 are rounded upward.
Again, this one is pretty straight forward. Round ( numberToEvaluate; 2 ) returns -189.13 because we are going two deep to the right of the decimal point and rounding the 5 digit upward. Round ( numberToEvaluate; -2 ) returns -200 because we are going two places to the left of the decimal point and rounding the 8 upward.
Truncate ( - 189.12548; 2 ) returns -189.12
Truncate ( - 189.12548; -2 ) returns -100
Truncate gives you a number that is cut off to a number of decimal places that you specify. This doesn't do any rounding but simply a cutoff point. Truncating with a negative precision will take you to the right of the decimal point.
Again, this one is pretty straight forward. Truncate ( numberToEvaluate; 2 ) returns -189.12 because we are going two deep to the right of the decimal point and stopping. Truncate ( numberToEvaluate; -2 ) returns -100 because we are going two places to the left of the decimal point and stopping.
Floor ( - 189.12548 ) returns -190
The floor function returns a number rounded down to it's next closest integer value.
Now this one could possibly throw you because you may automatically think -189 is the answer. This is because mentally we don’t work with negative numbers that much and we think 189 is lower than 190. However, in a negative number situation, -190 is less than -189. Some others get confused because they think floor means zero and it does not.
Ceiling ( -189.12548 ) returns -189
Ceiling will return a number rounded up to the next integer value.
Learning how Floor reacted to a negative value prepares you for how Ceiling will handle it.
Int ( -189.12548 ) returns -189
This function is used to return a whole number for a given number or field, however it does not perform this by rounding. For instance, the integer value for the number 5.3 would return as 5 and the integer value for the number 5.7 would return as 5.
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