1. The problem is to round the number 73.8988 to the nearest hundredth. 2. The hundredth place is the second digit to the right of the decimal point. In 73.8988, the hundredth place digit is 9. 3. To round to the nearest hundredth, look at the digit in the thousandth place (the third digit to the right of the decimal point), which is 8. 4. Since the thousandth place digit (8) is greater than or equal to 5, we round the hundredth place digit (9) up by 1. 5. Rounding 9 up by 1 results in 10, so we add 1 to the tenths place digit (8) and set the hundredth place digit to 0. 6. The tenths place digit (8) plus 1 becomes 9. 7. Therefore, 73.8988 rounded to the nearest hundredth is 73.90.