Rounding to Ten-Thousands math worksheet with 20 numbers to round, ideal for 4th-grade students.
Worksheet titled "10,000s Rounding to Ten-Thousands" with instructions to round numbers to the nearest ten-thousand, featuring 20 numbered problems with blank spaces for answers.
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Step-by-step solution for: Rounding Numbers to the Nearest 10,000 (U.S. Version) (A)
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Show Answer Key & Explanations
Step-by-step solution for: Rounding Numbers to the Nearest 10,000 (U.S. Version) (A)
Sure! Let’s solve the worksheet “Rounding to Ten-Thousands” step by step.
---
Round each number to the nearest ten-thousand.
---
- The ten-thousands place is the 5th digit from the right (in a 5+ digit number).
- Example: In `12,572`, the ten-thousands place is the ‘1’ (since it’s 10,000s).
- Look at the digit in the thousands place (the digit immediately to the right of the ten-thousands place).
- If that digit is 5 or greater, round up.
- If that digit is 4 or less, round down (keep the ten-thousands digit the same).
---
## ✔ Step-by-step Solutions:
We’ll go row by row.
---
- Ten-thousands digit: 1 (which means 10,000)
- Thousands digit: 2 → less than 5 → round down
- → 10,000
---
- Ten-thousands: 2 → 20,000
- Thousands digit: 4 → less than 5 → round down
- → 20,000
---
- Ten-thousands: 3 → 30,000
- Thousands digit: 7 → ≥5 → round up
- → 40,000
---
- Ten-thousands: 4 → 40,000
- Thousands digit: 8 → ≥5 → round up
- → 50,000
---
- Ten-thousands: 6 → 60,000
- Thousands digit: 9 → ≥5 → round up
- → 70,000
---
- Ten-thousands: 8 → 80,000
- Thousands digit: 2 → <5 → round down
- → 80,000
---
- Ten-thousands: 9 → 90,000
- Thousands digit: 9 → ≥5 → round up → becomes 100,000
- → 100,000
---
- Ten-thousands: 2 (in 124,124 → 124,124) → 120,000
- Thousands digit: 4 → <5 → round down
- → 120,000
---
- Ten-thousands: 7 (in 173,981 → 173,981) → 170,000
- Thousands digit: 3 → <5 → round down
- → 170,000
---
- Ten-thousands: 0 (in 209,489 → 209,489) → 200,000
- Thousands digit: 9 → ≥5 → round up → 210,000
- → 210,000
---
- Ten-thousands: 5 (in 456,148 → 456,148) → 450,000
- Thousands digit: 6 → ≥5 → round up → 460,000
- → 460,000
---
- Ten-thousands: 5 → 550,000
- Thousands digit: 5 → ≥5 → round up → 560,000
- → 560,000
---
- Ten-thousands: 0 (in 701,301 → 701,301) → 700,000
- Thousands digit: 1 → <5 → round down
- → 700,000
---
- Ten-thousands: 3 (in 834,132 → 834,132) → 830,000
- Thousands digit: 4 → <5 → round down
- → 830,000
---
- Ten-thousands: 1 (in 919,348 → 919,348) → 910,000
- Thousands digit: 9 → ≥5 → round up → 920,000
- → 920,000
---
- Ten-thousands: 7 (in 1,371,448 → 1,371,448) → 1,370,000
- Thousands digit: 1 → <5 → round down
- → 1,370,000
---
- Ten-thousands: 8 (in 3,284,994 → 3,284,994) → 3,280,000
- Thousands digit: 4 → <5 → round down
- → 3,280,000
---
- Ten-thousands: 3 (in 6,135,924 → 6,135,924) → 6,130,000
- Thousands digit: 5 → ≥5 → round up → 6,140,000
- → 6,140,000
---
- Ten-thousands: 3 (in 8,437,034 → 8,437,034) → 8,430,000
- Thousands digit: 7 → ≥5 → round up → 8,440,000
- → 8,440,000
---
- Ten-thousands: 8 (in 12,583,134 → 12,583,134) → 12,580,000
- Thousands digit: 3 → <5 → round down
- → 12,580,000
---
## ✔ Final Answers (Filled Worksheet):
```
1. 10,000
2. 20,000
3. 40,000
4. 50,000
5. 70,000
6. 80,000
7. 100,000
8. 120,000
9. 170,000
10. 210,000
11. 460,000
12. 560,000
13. 700,000
14. 830,000
15. 920,000
16. 1,370,000
17. 3,280,000
18. 6,140,000
19. 8,440,000
20. 12,580,000
```
---
## 💡 Tip for Students:
Always underline or circle the ten-thousands digit, then look at the digit to its right (thousands place). That digit tells you whether to round up or down!
Let me know if you’d like a printable version or practice quiz! 😊
---
🎯 Goal:
Round each number to the nearest ten-thousand.
---
🔢 What does “rounding to the nearest ten-thousand” mean?
- The ten-thousands place is the 5th digit from the right (in a 5+ digit number).
- Example: In `12,572`, the ten-thousands place is the ‘1’ (since it’s 10,000s).
- Look at the digit in the thousands place (the digit immediately to the right of the ten-thousands place).
- If that digit is 5 or greater, round up.
- If that digit is 4 or less, round down (keep the ten-thousands digit the same).
---
## ✔ Step-by-step Solutions:
We’ll go row by row.
---
Row 1: `12,572`
- Ten-thousands digit: 1 (which means 10,000)
- Thousands digit: 2 → less than 5 → round down
- → 10,000
---
Row 2: `24,391`
- Ten-thousands: 2 → 20,000
- Thousands digit: 4 → less than 5 → round down
- → 20,000
---
Row 3: `37,445`
- Ten-thousands: 3 → 30,000
- Thousands digit: 7 → ≥5 → round up
- → 40,000
---
Row 4: `48,019`
- Ten-thousands: 4 → 40,000
- Thousands digit: 8 → ≥5 → round up
- → 50,000
---
Row 5: `69,299`
- Ten-thousands: 6 → 60,000
- Thousands digit: 9 → ≥5 → round up
- → 70,000
---
Row 6: `82,754`
- Ten-thousands: 8 → 80,000
- Thousands digit: 2 → <5 → round down
- → 80,000
---
Row 7: `99,258`
- Ten-thousands: 9 → 90,000
- Thousands digit: 9 → ≥5 → round up → becomes 100,000
- → 100,000
---
Row 8: `124,124`
- Ten-thousands: 2 (in 124,124 → 124,124) → 120,000
- Thousands digit: 4 → <5 → round down
- → 120,000
---
Row 9: `173,981`
- Ten-thousands: 7 (in 173,981 → 173,981) → 170,000
- Thousands digit: 3 → <5 → round down
- → 170,000
---
Row 10: `209,489`
- Ten-thousands: 0 (in 209,489 → 209,489) → 200,000
- Thousands digit: 9 → ≥5 → round up → 210,000
- → 210,000
---
Row 11: `456,148`
- Ten-thousands: 5 (in 456,148 → 456,148) → 450,000
- Thousands digit: 6 → ≥5 → round up → 460,000
- → 460,000
---
Row 12: `555,319`
- Ten-thousands: 5 → 550,000
- Thousands digit: 5 → ≥5 → round up → 560,000
- → 560,000
---
Row 13: `701,301`
- Ten-thousands: 0 (in 701,301 → 701,301) → 700,000
- Thousands digit: 1 → <5 → round down
- → 700,000
---
Row 14: `834,132`
- Ten-thousands: 3 (in 834,132 → 834,132) → 830,000
- Thousands digit: 4 → <5 → round down
- → 830,000
---
Row 15: `919,348`
- Ten-thousands: 1 (in 919,348 → 919,348) → 910,000
- Thousands digit: 9 → ≥5 → round up → 920,000
- → 920,000
---
Row 16: `1,371,448`
- Ten-thousands: 7 (in 1,371,448 → 1,371,448) → 1,370,000
- Thousands digit: 1 → <5 → round down
- → 1,370,000
---
Row 17: `3,284,994`
- Ten-thousands: 8 (in 3,284,994 → 3,284,994) → 3,280,000
- Thousands digit: 4 → <5 → round down
- → 3,280,000
---
Row 18: `6,135,924`
- Ten-thousands: 3 (in 6,135,924 → 6,135,924) → 6,130,000
- Thousands digit: 5 → ≥5 → round up → 6,140,000
- → 6,140,000
---
Row 19: `8,437,034`
- Ten-thousands: 3 (in 8,437,034 → 8,437,034) → 8,430,000
- Thousands digit: 7 → ≥5 → round up → 8,440,000
- → 8,440,000
---
Row 20: `12,583,134`
- Ten-thousands: 8 (in 12,583,134 → 12,583,134) → 12,580,000
- Thousands digit: 3 → <5 → round down
- → 12,580,000
---
## ✔ Final Answers (Filled Worksheet):
```
1. 10,000
2. 20,000
3. 40,000
4. 50,000
5. 70,000
6. 80,000
7. 100,000
8. 120,000
9. 170,000
10. 210,000
11. 460,000
12. 560,000
13. 700,000
14. 830,000
15. 920,000
16. 1,370,000
17. 3,280,000
18. 6,140,000
19. 8,440,000
20. 12,580,000
```
---
## 💡 Tip for Students:
Always underline or circle the ten-thousands digit, then look at the digit to its right (thousands place). That digit tells you whether to round up or down!
Let me know if you’d like a printable version or practice quiz! 😊
Parent Tip: Review the logic above to help your child master the concept of rounding to the nearest ten worksheets.
