Please be very careful doing math with bash and awk... I don't see how that's more true for awk than it is for any other programming language. Awk uses double

Please be very careful doing math with bash and awk... I don't see how that's more true for awk than it is for any other programming language. Awk uses double precision floating point for all numeric values, which isn't a horrible choice for a catch-all numeric type.