0 0 0 0 4 Lesson 3.1: Addition This Lesson demonstrates 2 addition problems: 6+5 & 23+9 Press Space-bar to Begin, press q to Exit 0 1 0 1 4 Lesson 3.1: Addition (6+5) We Represent 6 by Adding 5... (pending operation) Press Space-bar to Continue 0 0 0 1 4 Lesson 3.1: Addition (6+5) ...and 1. (This is 6) Press Space-bar to Continue 0 1 0 1 4 Lesson 3.1: Addition (6+5) Adding the 5... (Requires a Carry)... Press Space-bar to Continue 0 0 1 1 4 Lesson 3.1: Addition (6+5) ...So We Carry to the Previous Column... (The ten's Column) Press Space-bar to Continue 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. Press Space-bar to Continue 0 0 1 -1 4 Lesson 3.1: Addition That was a Straight-forward Example... Press Space-bar 0 0 0 -1 4 Lesson 3.1: Addition The following one is a bit more complicated. So, pay attention... Press Space-bar to Begin 0 0 1 2 4 Lesson 3.1: Addition (23+9) 20... (begin to represent 23) Press Space-bar 0 0 0 3 4 Lesson 3.1: Addition (23+9) ...+3, represents 23. Press Space-bar 0 1 0 2 4 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) Press Space-bar 0 0 1 1 4 Lesson 3.1: Addition (23+9) ...carry to ten's column... Press Space-bar 0 1 0 -2 4 Lesson 3.1: Addition (23+9) Reset Upper-deck of Current-column... (Pending the `-1' of +10-1= +9) Press Space-bar 0 0 0 -1 4 Lesson 3.1: Addition (23+9) ... -1 (Current-column) completes +9 Resulting in the answer: 32 Press Space-bar 0 0 0 0 4 Conclusion: (continued) To perform addition, move beads towards the position-beam; to subtract, move beads away from it. Press Space-bar 0 0 0 0 4 Conclusion: (End) To gain proficiency in using the abacus, practice ! Press Space-bar