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0 0 0 0 4
Lesson 3.1: Addition
This Lesson demonstrates 2 addition problems:
6+5 & 23+9
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0 1 0 1 4
Lesson 3.1: Addition (6+5)
We Represent 6 by Adding 5...
(pending operation)
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0 0 0 1 4
Lesson 3.1: Addition (6+5)
...and 1.
(This is 6)
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0 1 0 1 4
Lesson 3.1: Addition (6+5)
Adding the 5...
(Requires a Carry)...
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0 0 1 1 4
Lesson 3.1: Addition (6+5)
...So We Carry to the Previous Column...
(The ten's Column)
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0 1 0 -2 4
Lesson 3.1: Addition (6+5)
...We Reset The Upper-deck and Obtain The Answer.
10 in the Previous Column + 1 in the Current= 11.
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0 0 1 -1 4
Lesson 3.1: Addition
That was a Straight-forward Example...

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Lesson 3.1: Addition
The following one is a bit more complicated.
So, pay attention...
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Lesson 3.1: Addition (23+9)
20... (begin to represent 23)

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Lesson 3.1: Addition (23+9)
...+3, represents 23.

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Lesson 3.1: Addition (23+9)
Represent 9 as +10 -1.    So, 2 Beads on upper-deck= 10...
(pending carry to the ten's column)
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0 0 1 1 4
Lesson 3.1: Addition (23+9)
...carry to ten's column...

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0 1 0 -2 4
Lesson 3.1: Addition (23+9)
Reset Upper-deck of Current-column...
(Pending the `-1' of +10-1= +9)
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0 0 0 -1 4
Lesson 3.1: Addition (23+9)
... -1 (Current-column) completes +9
Resulting in the answer: 32
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Conclusion: (continued)
To perform addition, move beads towards the
position-beam; to subtract, move beads away from it.
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Conclusion: (End)
To gain proficiency in using the abacus, practice !

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