How would these lengths be arranged from the shortest to longest 2000dm 2m 2000cm 2km?

To arrange the lengths from shortest to longest, we first convert all measurements to the same unit, such as meters.

• 2000 dm is 200 m
• 2 m is 2 m
• 2000 cm is 20 m
• 2 km is 2000 m

Arranging these in order gives us: 2 m, 2000 dm (200 m), 2000 cm (20 m), and 2 km (2000 m). Thus, the correct order is 2 m, 2000 cm, 2000 dm, and 2 km.