Final answer:
After simplifying 10/20 to 1/2, it's clear that 1/2 is much greater than 1/1000, making rounding unnecessary for comparison.
Step-by-step explanation:
The student is asking which fraction is greater, 1/1000 or 10/20. To determine this using rounding to the nearest half as hinted, we first need to simplify the fractions when necessary.
The fraction 10/20 can be simplified to 1/2 because 10 is half of 20. Now, we compare 1/1000 to 1/2. Clearly, 1/2 is greater than 1/1000.
If we were to visualize this using pie slices, 1/2 of a pie is a much larger portion than 1/1000 of the same pie. A direct comparison without rounding isn't necessary in this case since the answer is evident through simplification.