Let's solve the problem step by step.
Task:
Estimate the difference by
rounding each whole number to the nearest hundred, then subtract.
---
We'll go through each problem:
---
1. 678 - 541
- Round 678 → nearest hundred:
700
- Round 541 → nearest hundred:
500
- Now subtract: 700 - 500 =
200
✔ Answer:
700 - 500 = 200
---
2. 698 - 365
- Round 698 →
700
- Round 365 →
400
- Subtract: 700 - 400 =
300
✔ Answer:
700 - 400 = 300
---
3. 784 - 598
- Round 784 →
800
- Round 598 →
600
- Subtract: 800 - 600 =
200
✔ Answer:
800 - 600 = 200
---
4. 452 - 256
- Round 452 →
500
- Round 256 →
300
- Subtract: 500 - 300 =
200
✔ Answer:
500 - 300 = 200
---
5. 875 - 754
- Round 875 →
900
- Round 754 →
800
- Subtract: 900 - 800 =
100
✔ Answer:
900 - 800 = 100
---
6. 658 - 325
- Round 658 →
700
- Round 325 →
300
- Subtract: 700 - 300 =
400
✔ Answer:
700 - 300 = 400
---
7. 452 - 273
- Round 452 →
500
- Round 273 →
300
- Subtract: 500 - 300 =
200
✔ Answer:
500 - 300 = 200
---
8. 565 - 532
- Round 565 →
600
- Round 532 →
500
- Subtract: 600 - 500 =
100
✔ Answer:
600 - 500 = 100
---
9. 698 - 333
- Round 698 →
700
- Round 333 →
300
- Subtract: 700 - 300 =
400
✔ Answer:
700 - 300 = 400
---
10. 547 - 323
- Round 547 →
500
- Round 323 →
300
- Subtract: 500 - 300 =
200
✔ Answer:
500 - 300 = 200
---
✔ Final Answers (filled in):
| Problem | Rounded | Estimated Difference |
|--------|--------|----------------------|
| 1. 678 - 541 | 700 - 500 =
200 |
| 2. 698 - 365 | 700 - 400 =
300 |
| 3. 784 - 598 | 800 - 600 =
200 |
| 4. 452 - 256 | 500 - 300 =
200 |
| 5. 875 - 754 | 900 - 800 =
100 |
| 6. 658 - 325 | 700 - 300 =
400 |
| 7. 452 - 273 | 500 - 300 =
200 |
| 8. 565 - 532 | 600 - 500 =
100 |
| 9. 698 - 333 | 700 - 300 =
400 |
|10. 547 - 323 | 500 - 300 =
200 |
---
🔍 Explanation of Rounding Rule:
To round to the nearest hundred:
- Look at the
tens digit.
- If it's
less than 50, round down.
- If it's
50 or more, round up.
For example:
- 678 → tens digit is 7 (70), so round up to
700
- 541 → tens digit is 4 (40), so round down to
500
This method gives a quick estimate of the difference, which is useful for mental math and checking answers.
Let me know if you'd like the actual exact differences too!
Parent Tip: Review the logic above to help your child master the concept of estimating differences worksheet 3rd grade.