Questions: How many square decimeters are in 510 m²?

Solution Steps

To convert square meters to square decimeters, we need to know the conversion factor between meters and decimeters. Since 1 meter is equal to 10 decimeters, we square this conversion factor to convert square meters to square decimeters.

1. Understand that 1 meter = 10 decimeters.
2. Therefore, 1 square meter = (10 decimeters)² = 100 square decimeters.
3. Multiply the given area in square meters by 100 to get the area in square decimeters.

To convert from square meters to square decimeters, we use the conversion factor: $$1 \, \text{m}^2 = 100 \, \text{dm}^2$$

Given the area in square meters: $$\text{Area} = 510 \, \text{m}^2$$ We can convert this to square decimeters using the conversion factor: $$\text{Area in dm}^2 = 510 \, \text{m}^2 \times 100 \, \text{dm}^2/\text{m}^2 = 51000 \, \text{dm}^2$$

Final Answer