sentences:  This standard defines the format for 32-bit numbers called "single precision", as well as 64-bit numbers called "double precision" and longer numbers called "extended precision" (used for intermediate results).Floating-point representations can support a much wider range of values than fixed-point, with the ability to represent very small numbers and very large numbers.The exponentiation inherent in floating-point computation assures a much larger dynamic range – the largest and smallest numbers that can be represented – which is especially important when processing data sets where some of the data may have extremely large range of numerical values or where the range may be unpredictable.