To convert between square decimeters (dm²) and square meters (m²):

1. 1 square meter (m²) = 100 square decimeters (dm²).
2. 1 square decimeter (dm²) = 0.01 square meters (m²).

Converting 5607 dm² to m²:

Since 1 m² = 100 dm², we divide by 100 to convert from square decimeters to square meters.

$5607 \, \text{dm}^2 \div 100 = 56.07 \, \text{m}^2$

So, 5607 dm² = 56.07 m².

Converting 5607 m² to dm²:

Since 1 m² = 100 dm², we multiply by 100 to convert from square meters to square decimeters.

$5607 \, \text{m}^2 \times 100 = 560700 \, \text{dm}^2$

So, 5607 m² = 560700 dm².

Final Answer:

• 5607 dm² = 56.07 m²
• 5607 m² = 560700 dm²

Would you like more detailed examples, or do you have any questions about the process? Here are some related questions to explore:

1. How do you convert other units of area (like cm² or km²) to m² or dm²?
2. Why is it important to understand the conversion between square meters and square decimeters?
3. What are some real-world examples where these conversions are useful?
4. How would you convert between square millimeters (mm²) and square centimeters (cm²)?
5. What’s the difference between linear measurements (meters) and area measurements (m², dm²)?

Tip: When working with area conversions, always remember that the conversion factor is squared (because you're dealing with square units).