12.563 rounded to the nearest hundredth is 12.56. Look at the digit to the right of the hundredth, the thousandth. When rounding anything less than five you round down. When rounding anything five or more you round up. The thousandth digit is 3, which is less than 5, so you round down, making the answer 12.560 or 12.56.
It then is 16.11 rounded to the nearest hundredth
16.64
0.09
1.54
12.04
It is 1.54 rounded to the nearest hundredth
It then is 16.11 rounded to the nearest hundredth
It is already to the nearest hundredth as 9.69
16.64
0.09
1.54
12.04
0.61
2.81
66.33
1.24
94.99