The hundredths place is located at 0.0x, x being the hundredths place. To round to the nearest hundredth, we need to look at our thousandths place, which is one decimal place to the right of the hundredths place, or as an example, 0.00x, x being the thousandths place. We need to look at the thousandths place for 5 or higher in order to round up our hundredths place.
We have xx.xx9. 9 is 5 or higher, so we can round up our hundredths place.
Our new number is 52.66.
I hope this helps!