A certain meter stick is calibrated in millimeters (the distance between two consecutive marks is ONE mm). A student measured the longest edge of a book and found that it was greater than 364 mm and less than 365 mm, but it was CLOSER to 365 mm than 364 mm. Give TWO possible answers for this measurement. Write your answers with the correct level of precision. (i.e, the correct number of digits to the right of the decimal point.)

To find two possible answers for the measurement, we need to consider the range between 364 mm and 365 mm, but closer to 365 mm. Since the calibration of the meter stick is in millimeters, we can use decimal numbers to represent the measurement more precisely.

To find the first answer, we take the lower limit of the range and add a decimal number closer to 365 mm. Start with 364 mm and add 0.1 mm to be closer to 365 mm. This gives us the measurement of 364.1 mm.

To find the second answer, we can take the lower limit of the range and add a smaller decimal number. Start with 364 mm and add 0.01 mm. This gives us the measurement of 364.01 mm.

Therefore, two possible answers for the measurement, with the correct level of precision, are:
1) 364.1 mm
2) 364.01 mm