Let's solve the abacus problem step by step.
Understanding the Abacus:
Each abacus has
four columns representing place values:
-
Th = Thousands
-
H = Hundreds
-
T = Tens
-
O = Ones
On an abacus:
-
Upper beads (usually 1 per rod) are worth
5 each.
-
Lower beads (usually 4 per rod) are worth
1 each.
To find the value of a column:
- Count how many
upper beads are moved down toward the bar (each counts as 5).
- Count how many
lower beads are moved up toward the bar (each counts as 1).
- Add them together.
We’ll go through each abacus one by one.
---
Abacus 1 (Top-left)
-
Thousands (Th): 0 upper, 1 lower → 1
-
Hundreds (H): 1 upper (5), 2 lower (2) → 5 + 2 = 7
-
Tens (T): 0 upper, 3 lower → 3
-
Ones (O): 1 upper (5), 1 lower (1) → 5 + 1 = 6
→
Number: 1,736
---
Abacus 2 (Top-middle)
-
Th: 0 upper, 0 lower → 0
-
H: 1 upper (5), 0 lower → 5
-
T: 0 upper, 2 lower → 2
-
O: 1 upper (5), 0 lower → 5
→
Number: 525
---
Abacus 3 (Top-right)
-
Th: 0 upper, 0 lower → 0
-
H: 1 upper (5), 1 lower → 5 + 1 = 6
-
T: 0 upper, 2 lower → 2
-
O: 1 upper (5), 3 lower → 5 + 3 = 8
→
Number: 628
---
Abacus 4 (Middle-left)
-
Th: 1 upper (5), 0 lower → 5
-
H: 0 upper, 4 lower → 4
-
T: 1 upper (5), 0 lower → 5
-
O: 0 upper, 2 lower → 2
→
Number: 5,452
---
Abacus 5 (Middle-center)
-
Th: 0 upper, 0 lower → 0
-
H: 1 upper (5), 0 lower → 5
-
T: 0 upper, 3 lower → 3
-
O: 1 upper (5), 1 lower → 5 + 1 = 6
→
Number: 536
---
Abacus 6 (Middle-right)
-
Th: 0 upper, 0 lower → 0
-
H: 0 upper, 2 lower → 2
-
T: 1 upper (5), 0 lower → 5
-
O: 0 upper, 1 lower → 1
→
Number: 251
---
Abacus 7 (Bottom-left)
-
Th: 0 upper, 0 lower → 0
-
H: 1 upper (5), 0 lower → 5
-
T: 0 upper, 3 lower → 3
-
O: 0 upper, 1 lower → 1
→
Number: 531
---
Abacus 8 (Bottom-middle)
-
Th: 0 upper, 0 lower → 0
-
H: 0 upper, 3 lower → 3
-
T: 1 upper (5), 1 lower → 5 + 1 = 6
-
O: 1 upper (5), 0 lower → 5
→
Number: 365
---
Abacus 9 (Bottom-right)
-
Th: 0 upper, 0 lower → 0
-
H: 1 upper (5), 1 lower → 5 + 1 = 6
-
T: 0 upper, 2 lower → 2
-
O: 1 upper (5), 0 lower → 5
→
Number: 625
---
Final Answers (Fill in the blanks):
1.
1,736
2.
525
3.
628
4.
5,452
5.
536
6.
251
7.
531
8.
365
9.
625
---
✔ Answer Key:
```
1. 1,736
2. 525
3. 628
4. 5,452
5. 536
6. 251
7. 531
8. 365
9. 625
```
These are the numbers represented by each abacus. Each number corresponds to the total value of the beads in the respective place values (thousands, hundreds, tens, ones).
Parent Tip: Review the logic above to help your child master the concept of place value worksheet on abacus.