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The problem asks for finding a compatible dividend for each rounded divisor. Here's how you can approach the task:

1. **1,721 ÷ 6 →**  
   Round the divisor \( 6 \) to \( 6 \) (no change needed), then find a compatible dividend close to 1,721 that divides evenly by 6.
   - Compatible dividend: **1,800**

2. **2,389 ÷ 7 →**  
   Round the divisor \( 7 \) to \( 7 \) (no change needed), then find a compatible dividend close to 2,389 that divides evenly by 7.
   - Compatible dividend: **2,100**

3. **5,865 ÷ 32 →**  
   Round the divisor \( 32 \) to \( 30 \), then find a compatible dividend close to 5,865 that divides evenly by 30.
   - Compatible dividend: **6,000**

4. **4,108 ÷ 59 →**  
   Round the divisor \( 59 \) to \( 60 \), then find a compatible dividend close to 4,108 that divides evenly by 60.
   - Compatible dividend: **4,200**

5. **2,989 ÷ 91 →**  
   Round the divisor \( 91 \) to \( 90 \), then find a compatible dividend close to 2,989 that divides evenly by 90.
   - Compatible dividend: **2,700**

6. **31,888 ÷ 45 →**  
   Round the divisor \( 45 \) to \( 50 \), then find a compatible dividend close to 31,888 that divides evenly by 50.
   - Compatible dividend: **32,000**

7. **81,222 ÷ 186 →**  
   Round the divisor \( 186 \) to \( 200 \), then find a compatible dividend close to 81,222 that divides evenly by 200.
   - Compatible dividend: **80,000**

8. **73,102 ÷ 819 →**  
   Round the divisor \( 819 \) to \( 800 \), then find a compatible dividend close to 73,102 that divides evenly by 800.
   - Compatible dividend: **72,000**

9. **81,222 ÷ 378 →**  
   Round the divisor \( 378 \) to \( 400 \), then find a compatible dividend close to 81,222 that divides evenly by 400.
   - Compatible dividend: **80,000**

10. **354,768 ÷ 689 →**  
    Round the divisor \( 689 \) to \( 700 \), then find a compatible dividend close to 354,768 that divides evenly by 700.
    - Compatible dividend: **350,000**

These compatible dividends are close to the original dividends, and are divisible by the rounded divisor.

Would you like more details on any of these, or do you have any other questions?

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Here are 5 related questions to deepen your understanding:

1. How do you determine which multiple of a rounded divisor is the best compatible dividend?
2. What are the potential errors if the original numbers are not rounded properly?
3. Can you explain the significance of rounding in making division problems simpler?
4. How does estimating help in real-world scenarios involving division?
5. What would be the effect of rounding both the dividend and divisor?

**Tip:** When estimating or rounding in division problems, it's often helpful to pick numbers that make mental calculations easier while staying as close to the original value as possible.

Write a compatible dividend for each rounded divisor. Given pairs include 1,721 ÷ 6, 2,389 ÷ 7, etc.

This problem requires rounding divisors and finding compatible dividends that can be evenly divided by the new rounded divisor. This exercise is suitable for students in Grades 4-6, focusing on division and estimation techniques.

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