Step 1: Understanding the Relationship Between Decimetres and Centimetres.
One decimetre (dm) is equal to 10 centimetres (cm). This is because the metric system is based on powers of 10. Therefore, for every 1 decimetre, there are 10 centimetres.
Step 2: Verifying the Options.
- Option (1): 10 cm is the correct conversion, as 1 decimetre equals 10 centimetres.
- Option (2): 20 cm is incorrect, as this is twice the correct amount.
- Option (3): 40 cm is incorrect.
- Option (4): 30 cm is incorrect.
Conclusion:
Therefore, the correct answer is (1) 10 cm.