Final answer:
To find the value of an irrational number to the nearest hundredth, we look at the decimal places after the hundredth place. The correct answer is 153.83.
Step-by-step explanation:
To find the value of an irrational number to the nearest hundredth, we look at the decimal places after the hundredth place. In this case, the options are a) 153.33, b) 153.67, c) 153.83, and d) 154.00. To determine the value to the nearest hundredth, we look at the digit in the thousandth place. If it is 5 or greater, we round up, and if it is less than 5, we round down. In this case, the digit in the thousandth place is 8 in option c), so we round up to the nearest hundredth. Therefore, the answer is 153.83.