To round up implies to make a number simpler but keeping its value close to what it was.
There are two(2) major rules for rounding, which are:
[tex]\begin{gathered} i)If\text{ the number you are rounding is followed by 5,6,7,8 or 9, round the number up} \\ E.g\text{ 38 to the nearest ten is 40} \\ 12.5\text{ to the nearest whole number is 13} \\ ii)\text{If the number you are rounding is followed by }0,1,2,3,or\text{ 4},\text{ round the number down} \\ E\mathrm{}g\text{ 33 to the nearest ten is 30} \\ 40.3\text{ to the nearest whole number is 40} \end{gathered}[/tex]For this case of 412.802, the number that is followed after the decimal point is 8, therefore we would round up the number before it which is 2.
Thus, 412.802 to the nearest whole number is 413.
Hence, the correct option is option D