Loading 3D abacusโฆ
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Learn ยท 6 Step-by-Step Skills
Pick a skill
Follow along one skill at a time. Move beads to the middle bar to count.
Yellow bead = 1Red top bead = 5
Follow along one skill at a time. Move beads to the middle bar to count.
In mental arithmetic, your two hands act as a 2-digit abacus (0 to 99). The fingers match the beads exactly:
| Hand Part | Right Hand (Ones) | Left Hand (Tens) | Abacus Bead |
|---|---|---|---|
| Thumb | 5 | 50 | Top Red Bead (Worth 5) |
| 4 Fingers | 1 each (1, 2, 3, 4) | 10 each (10, 20, 30, 40) | 4 Bottom Yellow Beads (Worth 1 each) |
| Closed Fist | 0 | 0 | Empty Rod (No beads at the middle bar) |
| Move | Formula | Use it when |
|---|---|---|
| +1 | +1 = +5 โ4 | Not enough yellow beads: pull down the 5 bead, then take away the buddy number |
| +2 | +2 = +5 โ3 | Not enough yellow beads: pull down the 5 bead, then take away the buddy number |
| +3 | +3 = +5 โ2 | Not enough yellow beads: pull down the 5 bead, then take away the buddy number |
| +4 | +4 = +5 โ1 | Not enough yellow beads: pull down the 5 bead, then take away the buddy number |
| โ1 | โ1 = โ5 +4 | Not enough beads to take away: push up the 5 bead, then add the buddy number |
| โ2 | โ2 = โ5 +3 | Not enough beads to take away: push up the 5 bead, then add the buddy number |
| โ3 | โ3 = โ5 +2 | Not enough beads to take away: push up the 5 bead, then add the buddy number |
| โ4 | โ4 = โ5 +1 | Not enough beads to take away: push up the 5 bead, then add the buddy number |
| Move | Formula | Use it when |
|---|---|---|
| +1 | +1 = +10 โ9 | The rod is full: add 1 to the rod on the left, then take away the buddy number |
| +2 | +2 = +10 โ8 | The rod is full: add 1 to the rod on the left, then take away the buddy number |
| +3 | +3 = +10 โ7 | The rod is full: add 1 to the rod on the left, then take away the buddy number |
| +4 | +4 = +10 โ6 | The rod is full: add 1 to the rod on the left, then take away the buddy number |
| +5 | +5 = +10 โ5 | The rod is full: add 1 to the rod on the left, then take away the buddy number |
| +6 | +6 = +10 โ4 | The rod is full: add 1 to the rod on the left, then take away the buddy number |
| +7 | +7 = +10 โ3 | The rod is full: add 1 to the rod on the left, then take away the buddy number |
| +8 | +8 = +10 โ2 | The rod is full: add 1 to the rod on the left, then take away the buddy number |
| +9 | +9 = +10 โ1 | The rod is full: add 1 to the rod on the left, then take away the buddy number |
| โ1 | โ1 = โ10 +9 | Not enough beads: take 1 from the left rod, then add the buddy number |
| โ2 | โ2 = โ10 +8 | Not enough beads: take 1 from the left rod, then add the buddy number |
| โ3 | โ3 = โ10 +7 | Not enough beads: take 1 from the left rod, then add the buddy number |
| โ4 | โ4 = โ10 +6 | Not enough beads: take 1 from the left rod, then add the buddy number |
| โ5 | โ5 = โ10 +5 | Not enough beads: take 1 from the left rod, then add the buddy number |
| โ6 | โ6 = โ10 +4 | Not enough beads: take 1 from the left rod, then add the buddy number |
| โ7 | โ7 = โ10 +3 | Not enough beads: take 1 from the left rod, then add the buddy number |
| โ8 | โ8 = โ10 +2 | Not enough beads: take 1 from the left rod, then add the buddy number |
| โ9 | โ9 = โ10 +1 | Not enough beads: take 1 from the left rod, then add the buddy number |
| Move | Formula | Use it when |
|---|---|---|
| +6 | +6 = +10 โ5 +1 | Add 10 on the left rod first, then use the 5 bead on this rod |
| +7 | +7 = +10 โ5 +2 | Add 10 on the left rod first, then use the 5 bead on this rod |
| +8 | +8 = +10 โ5 +3 | Add 10 on the left rod first, then use the 5 bead on this rod |
| +9 | +9 = +10 โ5 +4 | Add 10 on the left rod first, then use the 5 bead on this rod |
| โ6 | โ6 = โ10 +5 โ1 | Take 10 from the left rod, then use the 5 bead to finish |
| โ7 | โ7 = โ10 +5 โ2 | Take 10 from the left rod, then use the 5 bead to finish |
| โ8 | โ8 = โ10 +5 โ3 | Take 10 from the left rod, then use the 5 bead to finish |
| โ9 | โ9 = โ10 +5 โ4 | Take 10 from the left rod, then use the 5 bead to finish |