Abacus place value worksheet for counting beads and determining numbers.

Let's solve the abacus worksheet step by step.

Each abacus has three columns labeled H (Hundreds), T (Tens), and O (Ones). We need to count the beads in each column and write the number they represent. On an abacus, typically:

- The top bead on each rod is worth 5.
- The bottom beads are worth 1 each.

So for each column:
- If the top bead is down (toward the bottom), it counts as 5.
- Each bottom bead that is pushed up (toward the top) counts as 1.

We’ll go through each abacus one by one.

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Row 1

Abacus 1:
- H: Top bead down → 5; 1 bottom bead up → 1 → Total: 5 + 1 = 6
- T: Top bead up (not counted); 2 bottom beads up → 2 → Total: 2
- O: Top bead down → 5; 3 bottom beads up → 3 → Total: 5 + 3 = 8
→ Number: 628

Abacus 2:
- H: Top bead up; 0 bottom beads → 0
- T: Top bead down → 5; 1 bottom bead up → 1 → 6
- O: Top bead up; 0 bottom beads → 0
→ Number: 60

Abacus 3:
- H: Top bead down → 5; 1 bottom bead → 1 → 6
- T: Top bead up; 0 bottom beads → 0
- O: Top bead down → 5; 2 bottom beads → 2 → 7
→ Number: 607

Abacus 4:
- H: Top bead up; 0 bottom beads → 0
- T: Top bead down → 5; 1 bottom bead → 1 → 6
- O: Top bead down → 5; 2 bottom beads → 2 → 7
→ Number: 67

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Row 2

Abacus 5:
- H: Top bead down → 5; 2 bottom beads → 2 → 7
- T: Top bead up; 0 bottom beads → 0
- O: Top bead down → 5; 2 bottom beads → 2 → 7
→ Number: 707

Abacus 6:
- H: Top bead down → 5; 1 bottom bead → 1 → 6
- T: Top bead up; 1 bottom bead → 1 → 1
- O: Top bead down → 5; 2 bottom beads → 2 → 7
→ Number: 617

Abacus 7:
- H: Top bead up; 0 bottom beads → 0
- T: Top bead down → 5; 0 bottom beads → 5
- O: Top bead up; 0 bottom beads → 0
→ Number: 50

Abacus 8:
- H: Top bead up; 0 bottom beads → 0
- T: Top bead down → 5; 0 bottom beads → 5
- O: Top bead down → 5; 1 bottom bead → 1 → 6
→ Number: 56

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Row 3

Abacus 9:
- H: Top bead down → 5; 1 bottom bead → 1 → 6
- T: Top bead up; 1 bottom bead → 1 → 1
- O: Top bead down → 5; 3 bottom beads → 3 → 8
→ Number: 618

Abacus 10:
- H: Top bead up; 0 bottom beads → 0
- T: Top bead down → 5; 0 bottom beads → 5
- O: Top bead up; 0 bottom beads → 0
→ Number: 50

Abacus 11:
- H: Top bead down → 5; 0 bottom beads → 5
- T: Top bead up; 0 bottom beads → 0
- O: Top bead down → 5; 1 bottom bead → 1 → 6
→ Number: 506

Abacus 12:
- H: Top bead up; 0 bottom beads → 0
- T: Top bead down → 5; 0 bottom beads → 5
- O: Top bead up; 0 bottom beads → 0
→ Number: 50

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✔ Final Answers:

Now, write the numbers under each abacus:

```
Row 1:
628 60 607 67

Row 2:
707 617 50 56

Row 3:
618 50 506 50
```

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🔍 Explanation:

- We identified the value of each bead: top bead = 5, bottom bead = 1.
- Counted how many beads were active (moved toward the center bar).
- Added them per column (H, T, O).
- Combined into a full number.

This helps students understand place value using visual tools like the abacus.

Let me know if you'd like this formatted for printing or as a downloadable answer key!