Final answer:
The number 9.777... is a rational and real number, but not a whole number, integer, or irrational number. It is different from 9.848 per cent, which is a percentage and not a decimal. To be higher than 9.848 percent, 9.777... is compared as a decimal which inherently makes it greater.
Step-by-step explanation:
The number 9.777... implies that the digit 7 repeats indefinitely. This makes the number a rational number, because it can be written as a fraction of two integers. Specifically, 9.777... can be represented as the fraction 9777/1000, if we consider the decimal to terminate, or a more complex fraction involving a series if we consider the 7s to continue infinitely.
It is also an integer and a real number but it is not a whole number because whole numbers are non-negative integers without any fractional or decimal parts. It is also not an irrational number because irrational numbers cannot be expressed as simple fraction.
Regarding the comparison with 9.848 per cent, we must understand that these are two different values. 9.777... as a decimal is not expressed as a percentage and thus is different from 9.848 percent. To make 9.777... higher than 9.848 per cent, you would convert 9.848 percent to a decimal, giving you 0.09848, and then ensure that 9.777... is compared as a decimal (which it is), thereby making it greater.