Which of the following represents forty-five point one one?

The value forty-five point one one is expressed numerically as 45.11. This representation indicates that there are 45 whole units and 11 hundredths.

When analyzing the representation of numbers, it is important to recognize the value of each digit in its respective place. In 45.11, the digit '4' is in the tens place, the digit '5' is in the units place, the first '1' after the decimal point represents one-tenth (or 0.10), and the second '1' represents one hundredth (or 0.01). This correctly adds up to 45.11.

In contrast, the other options do not represent this value correctly. For instance, 45.01 indicates only 1 hundredth instead of 11, and 46.11 represents an entirely different value that exceeds forty-five. Lastly, 45.10 conveys only 10 hundredths instead of 11. Thus, the representation of forty-five point one one can only be accurately depicted as 45.11.