Which type of number provides very precise information, including digits after the decimal?

The type of number that provides very precise information, including digits after the decimal, is a float. A float, or floating-point number, allows for the representation of real numbers that can have fractional parts. This flexibility is due to its ability to represent numbers in a way that can accommodate the range of decimal precision that is often required in calculations.

While integers can only represent whole numbers without any decimal places, floats can handle decimal values, making them suitable for scenarios where precise measurements or calculations are necessary. Doubles, similar to floats, also provide precision with decimal values but are typically used for even greater precision because they allocate more memory, allowing for a larger range of values and more decimal places. Characters are not numerical types; they represent single characters and do not possess numerical value or precision.

Thus, float is the most appropriate choice when referencing the ability to provide precise numerical information, including the essential digits after the decimal point.