Final answer:
Gabrielle will be running a race of 5 kilometers, which equals 50,000 decimeters when converted. One kilometer equals 10,000 decimeters, therefore, the 5-kilometer distance is multiplied by 10,000 resulting in 50,000 decimeters.
Step-by-step explanation:
Gabrielle is a cross-country runner who will be running a distance of 5 kilometers in her next race. To convert kilometers to decimeters, we must know the relationship between the two units. There are 1,000 meters in a kilometer, and there are 10 decimeters in a meter. Therefore, to convert kilometers to decimeters, we need to multiply the number of kilometers by 10,000 since 1 kilometer equals 10,000 decimeters (1,000 meters/km × 10 dm/m).
For Gabrielle's race:
- 5 kilometers is the distance Gabrielle will run.
- Multiply 5 km by 10,000 to convert to decimeters.
- 5 km x 10,000 = 50,000 decimeters.
Hence, Gabrielle will run 50,000 decimeters in her 5-kilometer race.