Solve for the estimated quotient.

299 ÷ 64 = ?

5,683 ÷ 82 = ?

3,429 ÷ 598 = ?

73,954 ÷ 790 = ?

65,934 ÷ 78 = ?

83,598 ÷ 92 = ?

31,574 ÷ 375 =?

354 ÷ 48 =?

13,527 ÷ 41 =?

27,498 ÷ 68 =?



To solve for the estimated quotient of each division, we'll round the numbers to make the division easier, then divide.

1. **299 ÷ 64**  
   - Round 299 to 300.
   - Round 64 to 60.
   - Estimated quotient: \( 300 \div 60 = 5 \)

2. **5,683 ÷ 82**  
   - Round 5,683 to 5,700.
   - Round 82 to 80.
   - Estimated quotient: \( 5,700 \div 80 \approx 71.25 \) (round to 71)

3. **3,429 ÷ 598**  
   - Round 3,429 to 3,400.
   - Round 598 to 600.
   - Estimated quotient: \( 3,400 \div 600 \approx 5.67 \) (round to 6)

4. **73,954 ÷ 790**  
   - Round 73,954 to 74,000.
   - Round 790 to 800.
   - Estimated quotient: \( 74,000 \div 800 \approx 92.5 \) (round to 93)

5. **65,934 ÷ 78**  
   - Round 65,934 to 66,000.
   - Round 78 to 80.
   - Estimated quotient: \( 66,000 \div 80 = 825 \)

6. **83,598 ÷ 92**  
   - Round 83,598 to 84,000.
   - Round 92 to 90.
   - Estimated quotient: \( 84,000 \div 90 \approx 933.33 \) (round to 933)

7. **31,574 ÷ 375**  
   - Round 31,574 to 31,500.
   - Round 375 to 400.
   - Estimated quotient: \( 31,500 \div 400 \approx 78.75 \) (round to 79)

8. **354 ÷ 48**  
   - Round 354 to 350.
   - Round 48 to 50.
   - Estimated quotient: \( 350 \div 50 = 7 \)

9. **13,527 ÷ 41**  
   - Round 13,527 to 13,500.
   - Round 41 to 40.
   - Estimated quotient: \( 13,500 \div 40 = 337.5 \) (round to 338)

10. **27,498 ÷ 68**  
    - Round 27,498 to 27,500.
    - Round 68 to 70.
    - Estimated quotient: \( 27,500 \div 70 \approx 392.86 \) (round to 393)

The estimated quotients are:

1. 5  
2. 71  
3. 6  
4. 93  
5. 825  
6. 933  
7. 79  
8. 7  
9. 338  
10. 393

Would you like details on any specific calculation or have any questions?

Here are 5 related questions to expand your knowledge:

1. How do rounding choices affect the accuracy of an estimated quotient?
2. What are some other methods to estimate quotients besides rounding?
3. Can you solve for the exact quotients for these divisions?
4. How does the divisor's size affect the ease of estimating quotients?
5. What strategies would you use if asked to estimate a quotient quickly without a calculator?

**Tip:** When estimating quotients, rounding both the dividend and divisor to nearby numbers that are easy to divide helps simplify calculations and achieve a close approximation.

Explore how to estimate quotients for various division problems using rounding techniques. Practice calculating estimated quotients for numbers like 299 divided by 64, 5,683 divided by 82, and more. Suitable for students in Grades 5-6.

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