1. The problem states that a map is drawn to a scale of 1 cm to 10 km. 2. We need to express this scale in the form 1 : n, where both units are the same. 3. First, convert 10 km to centimeters because the scale uses centimeters on the map. 4. Recall that 1 km = 1000 m and 1 m = 100 cm, so: $$10\text{ km} = 10 \times 1000 \times 100 = 1,000,000\text{ cm}$$ 5. Therefore, the scale 1 cm to 10 km is equivalent to: $$1\text{ cm} : 1,000,000\text{ cm}$$ 6. In the form 1 : n, this is: $$1 : 1,000,000$$ 7. So the scale expressed as 1 : n is 1 : 1,000,000. This means 1 cm on the map represents 1,000,000 cm (or 10 km) in reality.