1. Understand the conversion factor between kilometers and decimeters:
1 \, \text{km} = 10,000 \, \text{dm}
2. Multiply the given distance in kilometers by the conversion factor:
70.7 \, \text{km} \times 10,000 \, \text{dm/km}
3. Perform the multiplication:
70.7 \, \text{km} \times 10,000 = 707,000 \, \text{dm}
Thus, the answer is
707,000 \, \text{dm}