Final answer:
To round 63333.3333 to the nearest cent, which means two decimal places, you observe the third decimal place. Since it is a '3', there's no need to round up the second decimal place, so the rounded number is 63333.33.
Step-by-step explanation:
When rounding 63333.3333 to the nearest cent, we are essentially asked to round it to two decimal places. Rounding off is a basic mathematical operation where you approximate a number to make it simpler and more convenient to work with, often in financial calculations where the precision cannot exceed two decimal points or the hundredth place. In this case, you look at the third decimal place to decide whether to round up or down. The general rule is that if the digit in the third decimal place is 5 or greater, you round up the second decimal place by one.
For 63333.3333, the third decimal place is '3', which is less than 5. Therefore, there is no need to round up the second decimal place, and the number stays the same at that point. Following this rule, the number 63333.3333 rounded to the nearest cent is 63333.33.