To find the greatest possible error for the measurement of 3.5 cm, it's important to consider how the measurement might be represented.
Given that 3.5 cm is measured to one decimal place, the greatest possible error is generally half of the smallest unit of measurement. Since the smallest unit here is 0.1 cm (the place value of the last digit), the error can be calculated as follows:
Greatest possible error = 0.1 cm / 2 = 0.05 cm
Therefore, the greatest possible error for the measurement of 3.5 cm is 0.05 cm.
The correct answer is:
C. 0.05 cm