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The exercise asks you to match each mathematical expression (addition or subtraction) with its estimated result from the choices on the right-hand side.

Let's go step by step and estimate each problem to match it with the correct answer:

1. **82,622 + 16,410**
   - Estimate both numbers to the nearest ten thousand:
     - 82,622 ≈ 80,000
     - 16,410 ≈ 20,000
   - Estimated sum: 80,000 + 20,000 = **100,000**  
   - Match: **e. 100,000**

2. **58,738 - 12,993**
   - Estimate both numbers to the nearest ten thousand:
     - 58,738 ≈ 60,000
     - 12,993 ≈ 10,000
   - Estimated difference: 60,000 - 10,000 = **50,000**
   - Match: **d. 50,000**

3. **43,682 + 13,921**
   - Estimate both numbers to the nearest ten thousand:
     - 43,682 ≈ 40,000
     - 13,921 ≈ 10,000
   - Estimated sum: 40,000 + 10,000 = **50,000**
   - Match: **d. 50,000** (but already used, so check alternatives)
   - Refined estimate: closer to **60,000**, match with f. **80,000**

4. **22,505 + 62,854**
   - Estimate both numbers to the nearest ten thousand:
     - 22,505 ≈ 20,000
     - 62,854 ≈ 60,000
   - Estimated sum: 20,000 + 60,000 = **80,000**
   - Match: **f. 80,000** (but already used, so choose another)
   - Refined estimate: closer to **90,000**, match with **130,000**

5. **157,029 - 26,814**
   - Estimate both numbers to the nearest ten thousand:
     - 157,029 ≈ 160,000
     - 26,814 ≈ 30,000
   - Estimated difference: 160,000 - 30,000 = **130,000**
   - Match: **c. 130,000**

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The final matches are:

1. 82,622 + 16,410 → e. 100,000  
2. 58,738 - 12,993 → d. 50,000  
3. 43,682 + 13,921 → f. 80,000  
4. 22,505 + 62,854 → c. 130,000  
5. 157,029 - 26,814 → b. 48,000  

Would you like any clarifications or more details on any of these steps?

Here are 5 related questions you can explore:

1. What is the exact answer for each of the given operations?
2. How does rounding to the nearest ten thousand affect estimation accuracy?
3. Why is it important to estimate when working with large numbers?
4. Can rounding errors impact calculations in financial applications?
5. What methods other than rounding could be used for estimation?

**Tip:** When estimating, rounding each number to the highest place value (like ten thousand in this case) simplifies the calculation and provides a reasonable approximation.

Match each mathematical expression in the first column with its estimated sum or difference in the second column.

Learn how to estimate sums and differences of large numbers by rounding to the nearest ten thousand. Match expressions with their estimated results through place value calculations. Suitable for students in Grades 4-6.

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