Let's solve the problem step by step.
We are given a series of abacuses, each with four columns representing
Thousands (Th),
Hundreds (H),
Tens (T), and
Ones (O). We need to determine the number represented by each abacus based on the number of beads in each column.
Each bead in a column contributes its value based on the place:
-
Thousands (Th): Each bead = 1000
-
Hundreds (H): Each bead = 100
-
Tens (T): Each bead = 10
-
Ones (O): Each bead = 1
We will count the beads in each column for every abacus and write the number.
---
Abacus 1:
- Th: 6 red beads → 6 × 1000 = 6000
- H: 5 orange beads → 5 × 100 = 500
- T: 3 blue beads → 3 × 10 = 30
- O: 1 yellow bead → 1 × 1 = 1
→ Total:
6531
Abacus 2:
- Th: 1 red bead → 1000
- H: 1 orange bead → 100
- T: 8 yellow beads → 8 × 10 = 80
- O: 1 blue bead → 1
→ Total:
1181
Abacus 3:
- Th: 7 red beads → 7000
- H: 1 orange bead → 100
- T: 4 blue beads → 40
- O: 0
→ Total:
7140
Abacus 4:
- Th: 1 red bead → 1000
- H: 5 orange beads → 500
- T: 6 yellow beads → 60
- O: 2 blue beads → 2
→ Total:
1562
Abacus 5:
- Th: 4 red beads → 4000
- H: 3 orange beads → 300
- T: 2 yellow beads → 20
- O: 4 blue beads → 4
→ Total:
4324
Abacus 6:
- Th: 2 red beads → 2000
- H: 6 orange beads → 600
- T: 5 yellow beads → 50
- O: 9 blue beads → 9
→ Total:
2659
Abacus 7:
- Th: 1 red bead → 1000
- H: 0
- T: 3 yellow beads → 30
- O: 2 blue beads → 2
→ Total:
1032
Abacus 8:
- Th: 2 red beads → 2000
- H: 3 orange beads → 300
- T: 4 yellow beads → 40
- O: 1 blue bead → 1
→ Total:
2341
Abacus 9:
- Th: 4 red beads → 4000
- H: 2 orange beads → 200
- T: 1 yellow bead → 10
- O: 2 blue beads → 2
→ Total:
4212
Abacus 10:
- Th: 1 red bead → 1000
- H: 7 orange beads → 700
- T: 5 yellow beads → 50
- O: 6 blue beads → 6
→ Total:
1756
Abacus 11:
- Th: 3 red beads → 3000
- H: 1 orange bead → 100
- T: 5 yellow beads → 50
- O: 3 blue beads → 3
→ Total:
3153
Abacus 12:
- Th: 4 red beads → 4000
- H: 0
- T: 0
- O: 9 blue beads → 9
→ Total:
4009
---
Final Answers:
| Abacus | Number |
|--------|--------|
| 1 | 6531 |
| 2 | 1181 |
| 3 | 7140 |
| 4 | 1562 |
| 5 | 4324 |
| 6 | 2659 |
| 7 | 1032 |
| 8 | 2341 |
| 9 | 4212 |
| 10 | 1756 |
| 11 | 3153 |
| 12 | 4009 |
You can now fill these numbers into the corresponding boxes below each abacus.
✔ Answer: The numbers formed by each abacus are:
1. 6531
2. 1181
3. 7140
4. 1562
5. 4324
6. 2659
7. 1032
8. 2341
9. 4212
10. 1756
11. 3153
12. 4009
Parent Tip: Review the logic above to help your child master the concept of abacus worksheet.