Round 7-digit numbers to the nearest 10,000 - Number and Place ... - Free Printable
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Step-by-step solution for: Round 7-digit numbers to the nearest 10,000 - Number and Place ...
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Show Answer Key & Explanations
Step-by-step solution for: Round 7-digit numbers to the nearest 10,000 - Number and Place ...
Let's solve the problem step by step.
Round each 7-digit number to the nearest 10,000.
To round a number to the nearest 10,000, we look at the thousands digit (the 4th digit from the right). If this digit is:
- 5 or more, we round up.
- Less than 5, we round down.
We keep the first three digits of the number and change the last four digits to zeros, adjusting based on rounding.
---
Let’s go through each number:
---
1. 2,914,114
- Thousands digit: 4 (from 914,114 → the '4' in 14,114)
- Since 4 < 5 → round down
→ 2,910,000
2. 3,152,363
- Thousands digit: 2 (from 152,363 → '2' in 52,363)
- 2 < 5 → round down
→ 3,150,000
3. 2,191,126
- Thousands digit: 1 (from 191,126 → '1' in 91,126)
- 1 < 5 → round down
→ 2,190,000
4. 2,399,591
- Thousands digit: 9 (from 399,591 → '9' in 99,591)
- 9 ≥ 5 → round up
→ 2,400,000
5. 3,835,606
- Thousands digit: 5 (from 835,606 → '5' in 35,606)
- 5 ≥ 5 → round up
→ 3,840,000
6. 3,341,853
- Thousands digit: 1 (from 341,853 → '1' in 41,853)
- 1 < 5 → round down
→ 3,340,000
7. 8,889,140
- Thousands digit: 9 (from 889,140 → '9' in 89,140)
- 9 ≥ 5 → round up
→ 8,890,000
8. 6,217,158
- Thousands digit: 7 (from 217,158 → '7' in 17,158)
- 7 ≥ 5 → round up
→ 6,220,000
9. 8,425,378
- Thousands digit: 5 (from 425,378 → '5' in 25,378)
- 5 ≥ 5 → round up
→ 8,430,000
10. 3,210,275
- Thousands digit: 0 (from 210,275 → '0' in 10,275)
- 0 < 5 → round down
→ 3,210,000
11. 6,677,564
- Thousands digit: 7 (from 677,564 → '7' in 77,564)
- 7 ≥ 5 → round up
→ 6,680,000
12. 6,815,462
- Thousands digit: 5 (from 815,462 → '5' in 15,462)
- 5 ≥ 5 → round up
→ 6,820,000
13. 7,338,836
- Thousands digit: 8 (from 338,836 → '8' in 38,836)
- 8 ≥ 5 → round up
→ 7,340,000
14. 3,678,936
- Thousands digit: 8 (from 678,936 → '8' in 78,936)
- 8 ≥ 5 → round up
→ 3,680,000
15. 2,724,325
- Thousands digit: 4 (from 724,325 → '4' in 24,325)
- 4 < 5 → round down
→ 2,720,000
16. 7,932,984
- Thousands digit: 2 (from 932,984 → '2' in 32,984)
- 2 < 5 → round down
→ 7,930,000
17. 8,946,792
- Thousands digit: 6 (from 946,792 → '6' in 46,792)
- 6 ≥ 5 → round up
→ 8,950,000
18. 4,850,951
- Thousands digit: 0 (from 850,951 → '0' in 50,951)
- 0 < 5 → round down
→ 4,850,000
19. 7,961,449
- Thousands digit: 1 (from 961,449 → '1' in 61,449)
- 1 < 5 → round down
→ 7,960,000
20. 5,032,856
- Thousands digit: 2 (from 032,856 → '2' in 32,856)
- 2 < 5 → round down
→ 5,030,000
---
1. 2,910,000
2. 3,150,000
3. 2,190,000
4. 2,400,000
5. 3,840,000
6. 3,340,000
7. 8,890,000
8. 6,220,000
9. 8,430,000
10. 3,210,000
11. 6,680,000
12. 6,820,000
13. 7,340,000
14. 3,680,000
15. 2,720,000
16. 7,930,000
17. 8,950,000
18. 4,850,000
19. 7,960,000
20. 5,030,000
---
✔ All numbers have been rounded to the nearest 10,000 correctly.
Task:
Round each 7-digit number to the nearest 10,000.
To round a number to the nearest 10,000, we look at the thousands digit (the 4th digit from the right). If this digit is:
- 5 or more, we round up.
- Less than 5, we round down.
We keep the first three digits of the number and change the last four digits to zeros, adjusting based on rounding.
---
Let’s go through each number:
---
1. 2,914,114
- Thousands digit: 4 (from 914,114 → the '4' in 14,114)
- Since 4 < 5 → round down
→ 2,910,000
2. 3,152,363
- Thousands digit: 2 (from 152,363 → '2' in 52,363)
- 2 < 5 → round down
→ 3,150,000
3. 2,191,126
- Thousands digit: 1 (from 191,126 → '1' in 91,126)
- 1 < 5 → round down
→ 2,190,000
4. 2,399,591
- Thousands digit: 9 (from 399,591 → '9' in 99,591)
- 9 ≥ 5 → round up
→ 2,400,000
5. 3,835,606
- Thousands digit: 5 (from 835,606 → '5' in 35,606)
- 5 ≥ 5 → round up
→ 3,840,000
6. 3,341,853
- Thousands digit: 1 (from 341,853 → '1' in 41,853)
- 1 < 5 → round down
→ 3,340,000
7. 8,889,140
- Thousands digit: 9 (from 889,140 → '9' in 89,140)
- 9 ≥ 5 → round up
→ 8,890,000
8. 6,217,158
- Thousands digit: 7 (from 217,158 → '7' in 17,158)
- 7 ≥ 5 → round up
→ 6,220,000
9. 8,425,378
- Thousands digit: 5 (from 425,378 → '5' in 25,378)
- 5 ≥ 5 → round up
→ 8,430,000
10. 3,210,275
- Thousands digit: 0 (from 210,275 → '0' in 10,275)
- 0 < 5 → round down
→ 3,210,000
11. 6,677,564
- Thousands digit: 7 (from 677,564 → '7' in 77,564)
- 7 ≥ 5 → round up
→ 6,680,000
12. 6,815,462
- Thousands digit: 5 (from 815,462 → '5' in 15,462)
- 5 ≥ 5 → round up
→ 6,820,000
13. 7,338,836
- Thousands digit: 8 (from 338,836 → '8' in 38,836)
- 8 ≥ 5 → round up
→ 7,340,000
14. 3,678,936
- Thousands digit: 8 (from 678,936 → '8' in 78,936)
- 8 ≥ 5 → round up
→ 3,680,000
15. 2,724,325
- Thousands digit: 4 (from 724,325 → '4' in 24,325)
- 4 < 5 → round down
→ 2,720,000
16. 7,932,984
- Thousands digit: 2 (from 932,984 → '2' in 32,984)
- 2 < 5 → round down
→ 7,930,000
17. 8,946,792
- Thousands digit: 6 (from 946,792 → '6' in 46,792)
- 6 ≥ 5 → round up
→ 8,950,000
18. 4,850,951
- Thousands digit: 0 (from 850,951 → '0' in 50,951)
- 0 < 5 → round down
→ 4,850,000
19. 7,961,449
- Thousands digit: 1 (from 961,449 → '1' in 61,449)
- 1 < 5 → round down
→ 7,960,000
20. 5,032,856
- Thousands digit: 2 (from 032,856 → '2' in 32,856)
- 2 < 5 → round down
→ 5,030,000
---
✔ Final Answers:
1. 2,910,000
2. 3,150,000
3. 2,190,000
4. 2,400,000
5. 3,840,000
6. 3,340,000
7. 8,890,000
8. 6,220,000
9. 8,430,000
10. 3,210,000
11. 6,680,000
12. 6,820,000
13. 7,340,000
14. 3,680,000
15. 2,720,000
16. 7,930,000
17. 8,950,000
18. 4,850,000
19. 7,960,000
20. 5,030,000
---
✔ All numbers have been rounded to the nearest 10,000 correctly.
Parent Tip: Review the logic above to help your child master the concept of rounding place values worksheet.
