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Nine times nine

In China the multiplication tables are called the "nine times nine is eighty one" and are learned like a song with 37 lines of 5 words each.

 


Explanation

Multiplications by 1 do not occur here.

1 × 2 =  2      
2 × 2 =  4
2 × 3 =  6
2 × 4 =  8
2 × 5 = 10
2 × 6 = 12
2 × 7 = 14
2 × 8 = 16
2 × 9 = 18
3 × 3 =  9
3 × 4 = 12
3 × 5 = 15
3 × 6 = 18
3 × 7 = 21
3 × 8 = 24
3 × 9 = 27
4 × 4 = 16
4 × 5 = 20
4 × 6 = 24
4 × 7 = 28
4 × 8 = 32
4 × 9 = 36
5 × 5 = 25
5 × 6 = 30
5 × 7 = 35
5 × 8 = 40
5 × 9 = 45
6 × 6 = 36
6 × 7 = 42
6 × 8 = 48
6 × 9 = 54
7 × 7 = 49
7 × 8 = 56
7 × 9 = 63
8 × 8 = 64
8 × 9 = 72
9 × 9 = 81

In the table of Pythagoras you find them all.

1 2 3 4 5 6 7 8 9
2 4 6 8 10 12 14 16 18
3 6 9 12 15 18 21 24 27
4 8 12 16 20 24 28 32 36
5 10 15 20 25 30 35 40 45
6 12 18 24 30 36 42 48 54
7 14 21 28 35 42 49 56 63
8 16 24 32 40 48 56 64 72
9 18 27 36 45 54 63 72 81

 


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