Step 1: Understanding Metric Conversions.
1 kilometre (km) is equal to 1000 metres (m), and 1 metre equals 10 decimetres. So, to convert kilometres to decimetres, we multiply by 1000 and then multiply by 10 (since 1 metre equals 10 decimetres). Therefore, 1 kilometre equals 10,000 decimetres.
Step 2: Verifying the Options.
- Option (1): 5000 decimetres is incorrect.
- Option (2): 1 kilometre equals 10,000 decimetres, making this the correct answer.
- Option (3): 15000 decimetres is incorrect.
- Option (4): 2000 decimetres is incorrect.
Conclusion:
Therefore, the correct answer is (2) 10000.