We remember that when we round a decimal, we look the number to the right to the one we want to round (in this case, as we want to round to the nearest hundredth, we look at the thousandth position).
0. If the number ,is greater or equal than 5, we round up, (this is, we add 1 number to the position).
,
1. If the number, is less than 5, we round down, (we leave the same number)
In our exercise, we look at the thousandth position, which is 6. And as it is bigger than 5, we add 1 to the 9 (which is the hundredth position):
We obtain 10, but then as we can't put 10 on a digit, we add 1 to the tenth, and we obtain:
Thus, 4,412.096 rounded to the nearest hundredth is 4,412.1.