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The question asks which conversion factors can be used to convert meters to millimeters, and you are given several options. Let's analyze each one:

1. **\( \frac{1000 \, m}{1 \, km} \)**  
   - This is correct for converting kilometers to meters, but it's not directly related to converting meters to millimeters.

2. **\( \frac{1 \, m}{100 \, cm} \)**  
   - This is the conversion factor from meters to centimeters, not directly to millimeters.

3. **\( \frac{10 \, mm}{1 \, cm} \)**  
   - This converts centimeters to millimeters, which is useful as part of converting meters to millimeters. Not directly for meters to millimeters, but it helps when you go through centimeters.

4. **\( \frac{1 \, cm}{10 \, mm} \)**  
   - This converts millimeters to centimeters. Again, it's not directly meters to millimeters, but helpful in reverse.

5. **\( \frac{100 \, cm}{1 \, m} \)**  
   - This is useful because you convert meters to centimeters, which is a step toward converting to millimeters.

6. **\( \frac{1 \, km}{1000 \, m} \)**  
   - This is the reverse of the first option. It converts kilometers to meters but is not useful for converting meters to millimeters.

### Correct Answer:
The correct conversion factor is:
- **\( \frac{100 \, cm}{1 \, m} \)** because once you convert meters to centimeters, you can then convert centimeters to millimeters by multiplying by 10.

Would you like more detailed steps on how to solve such conversions?

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Here are 5 related questions to think about:
1. How do you convert millimeters to kilometers?
2. What is the relationship between meters and centimeters?
3. How do you convert inches to millimeters?
4. What other common units can be converted to millimeters?
5. What is the best way to remember unit conversions?

**Tip:** Always break down multi-step conversions into simple conversions (e.g., meters to centimeters, then centimeters to millimeters).

Which conversion factors can you use to convert meters to millimeters?

Discover how to convert meters to millimeters using different conversion factors. This problem covers key unit conversions in the metric system, including meters to centimeters and centimeters to millimeters. Suitable for students in Grades 5-7.

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