Decimal Place Value: Locating the Digit 8 in the Hundredths Position

To solve this problem, let's determine the hundredths digit for each given decimal number:

• 800.1: The number 800.1 is written as $800.1$, with only one digit after the decimal point, namely "1". Thus, it does not have a hundredths digit.
• 0.82: The number 0.82 is written as $0.82$. The digit in the hundredths place is "2".
• 0.281: The number 0.281 is written as $0.281$. The digit in the hundredths place is "8".
• 0.218: The number 0.218 is written as $0.218$. The digit in the hundredths place is "1".

After examining each number, we find that the number 0.281 has "8" in the hundredths place.

Therefore, the solution to the problem is 0.281.