To convert 5607 dm² (square decimeters) into m² (square meters) and back into dm²:

1. To convert from dm² to m²:

   • 1 m² = 100 dm².
   • Therefore, to convert from dm² to m², divide the number by 100.

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

   So, 5607 dm² = 56.07 m².

2. To convert from m² to dm²:

   • 1 m² = 100 dm², so multiply the number by 100.

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

Thus, 5607 dm² = 56.07 m², and converting back we get 56.07 m² = 5607 dm².

Would you like further explanation on any of the steps?

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Here are 5 related questions to deepen your understanding:

1. How do you convert square centimeters (cm²) to square meters (m²)?
2. What is the relationship between meters and decimeters in terms of linear measurement?
3. Can you convert other areas, like square kilometers to square meters, and how?
4. Why do we square the conversion factor when going from linear to area measurement?
5. What are practical applications for understanding the conversion between dm² and m²?

Tip: When converting between square units, always remember that the conversion factor applies to the square of the unit.