Final answer:
The scale ratio for a map in which 1 cm represents 10 km is 1:1,000,000, as 10 km equals 1,000,000 cm when we use the conversions 1 km = 1000 m and 1 m = 100 cm.
Step-by-step explanation:
The question is asking to determine the scale ratio for a map where 1 cm on the map represents 10 km on Earth's surface. To find the scale ratio, we'll use the given conversions:
- 1 km = 1000 m
- 1 m = 100 cm
Firstly, we convert 10 km to meters: 10 km = 10 × 1000 m = 10,000 m. Then, we convert meters to centimeters: 10,000 m = 10,000 × 100 cm = 1,000,000 cm.
Since 1 cm on the map equals 1,000,000 cm on the ground, the scale ratio is 1:1,000,000.