The problem provided states:

"Jim drew a scale drawing of a city park. He used the scale 4 millimeters = 8 meters. What scale factor does the drawing use? Simplify your answer and write it as a fraction."

Step-by-step solution:

1. The scale is given as 4 millimeters = 8 meters.

2. To express this as a scale factor, both measurements need to be in the same unit. Let's convert meters to millimeters:

   • 1 meter = 1000 millimeters, so 8 meters = $8 \times 1000 = 8000$ millimeters.

3. Now, we have the scale as 4 millimeters = 8000 millimeters.

4. The scale factor is the ratio of the drawing to the actual size: $\text{Scale factor} = \frac{4 \, \text{mm}}{8000 \, \text{mm}}$

5. Simplifying this fraction: $\frac{4}{8000} = \frac{1}{2000}$

Thus, the scale factor is $\frac{1}{2000}$.

Let me know if you'd like further clarification or details.

Related questions:

1. How would the scale change if the real-world distance were 10 meters instead of 8 meters?
2. What would the drawing size be for a real park section of 100 meters?
3. How can you convert a scale factor to a ratio (e.g., 1:2000)?
4. How would you scale up a smaller section of the park on paper?
5. If 5 millimeters on the drawing represent 10 meters, what would the scale factor be?

Tip: Always ensure units are consistent when calculating scale factors or comparing dimensions in a scale drawing.