https://file.aiquickdraw.com/mathbot/file/1726392185667rqpl3c7u.jpg

Let's go through the conversions step by step:

1. **2.18 dm² to cm²:**
   \[
   1 \text{ dm²} = 100 \text{ cm²}
   \]
   \[
   2.18 \text{ dm²} = 2.18 \times 100 = 218 \text{ cm²}
   \]

2. **500 mm² to cm²:**
   \[
   1 \text{ cm²} = 100 \text{ mm²}
   \]
   \[
   500 \text{ mm²} = \frac{500}{100} = 5 \text{ cm²}
   \]

3. **400 cm² to dm²:**
   \[
   1 \text{ dm²} = 100 \text{ cm²}
   \]
   \[
   400 \text{ cm²} = \frac{400}{100} = 4 \text{ dm²}
   \]

4. **5.15 hm² to hectares (ha):**
   \[
   1 \text{ hm²} = 1 \text{ hectare (ha)}
   \]
   \[
   5.15 \text{ hm²} = 5.15 \text{ ha}
   \]

5. **7.4 dm² to m²:**
   \[
   1 \text{ m²} = 100 \text{ dm²}
   \]
   \[
   7.4 \text{ dm²} = \frac{7.4}{100} = 0.074 \text{ m²}
   \]

6. **350,000 m² to km²:**
   \[
   1 \text{ km²} = 1,000,000 \text{ m²}
   \]
   \[
   350,000 \text{ m²} = \frac{350,000}{1,000,000} = 0.35 \text{ km²}
   \]

7. **1,400 m² to cm²:**
   \[
   1 \text{ m²} = 10,000 \text{ cm²}
   \]
   \[
   1,400 \text{ m²} = 1,400 \times 10,000 = 14,000,000 \text{ cm²}
   \]

8. **0.004 hm² to hectares (ha):**
   \[
   1 \text{ hm²} = 1 \text{ hectare}
   \]
   \[
   0.004 \text{ hm²} = 0.004 \text{ ha}
   \]

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Do you have any questions or need more details on the conversions? 

Here are five related questions to expand on these ideas:

1. How do you convert from square meters (m²) to square millimeters (mm²)?
2. What is the formula for converting square kilometers (km²) to square meters (m²)?
3. How do you convert between hectares (ha) and square kilometers (km²)?
4. What is the difference between converting between area units and length units?
5. How would you convert from square decimeters (dm²) to square kilometers (km²)?

**Tip:** Always remember to square the conversion factor when converting between area units (e.g., \(1 \text{ m} = 100 \text{ cm}\), so \(1 \text{ m²} = 10,000 \text{ cm²}\)).

2.18 dm² to cm², 500 mm² to cm², 400 cm² to dm², 5.15 hm² to hectares, 7.4 dm² to m², 350,000 m² to km², 1,400 m² to cm², 0.004 hm² to hectares

This page explains how to convert between different area units, including dm² to cm², mm² to cm², cm² to dm², hm² to hectares, dm² to m², m² to km², and m² to cm², with step-by-step solutions. Suitable for students in Grades 7-9.

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