Final answer:
The scale 1:100,000 means that 1 cm on the map represents 100,000 cm in real life, which can be converted to 0.00001 km.
Step-by-step explanation:
The given scale is 1:100,000 which means 1 unit on the map represents 100,000 units in real life. To convert this scale to a statement scale in cm to km, we need to find the relationship between 1 cm on the map and the corresponding distance in km. Since the scale is 1:100,000, it means that 1 cm on the map represents 100,000 cm in real life. We can convert this to km by dividing both sides of the equation by 100,000 to get 0.00001 km or 1 cm represents 0.00001 km.