Frumuseţea matematicii

Ştiaţi ce lucruri frumoase pot fi obţinute cu ajutorul numerelor naturale?

1 x 8 + 1 = 9

1 2 x 8 + 2 = 9 8

1 2 3 x 8 + 3 = 9 8 7

1 2 3 4 x 8 + 4 = 9 8 7 6

1 2 3 4 5 x 8 + 5 = 9 8 7 6 5

1 2 3 4 5 6 x 8 + 6 = 9 8 7 6 5 4

1 2 3 4 5 6 7 x 8 + 7 = 9 8 7 6 5 4 3

1 2 3 4 5 6 7 8 x 8 + 8 = 9 8 7 6 5 4 3 2

1 2 3 4 5 6 7 8 9 x 8 + 9 = 9 8 7 6 5 4 3 2 1

1 x 9 +  2  = 1 1
1 2 x 9 +  3  = 1 1 1

1 2 3 x 9 +  4  = 1 1 1 1

1 2 3 4 x 9 +  5  = 1 1 1 1 1

1 2 3 4 5 x 9 +  6  = 1 1 1 1 1 1

1 2 3 4 5 6 x 9 +  7  = 1 1 1 1 1 1 1

1 2 3 4 5 6 7 x 9 +  8  = 1 1 1 1 1 1 1 1

1 2 3 4 5 6 7 8 x 9 +  9  = 1 1 1 1 1 1 1 1 1

1 2 3 4 5 6 7 8 9 x 9 + 10 = 1 1 1 1 1 1 1 1 1 1

9 x 9 + 7 = 8 8

9 8 x 9 + 6 = 8 8 8

9 8 7 x 9 + 5 = 8 8 8 8

9 8 7 6 x 9 + 4 = 8 8 8 8 8

9 8 7 6 5 x 9 + 3 = 8 8 8 8 8 8

9 8 7 6 5 4 x 9 + 2 = 8 8 8 8 8 8 8

9 8 7 6 5 4 3 x 9 + 1 = 8 8 8 8 8 8 8 8

9 8 7 6 5 4 3 2 x 9 + 0 = 8 8 8 8 8 8 8 8 8

1 x 1 =1

1 1 x 1 1 =121

1 1 1 x 1 1 1 =12321

1 1 1 1 x 1 1 1 1 =1234321

1 1 1 1 1 x 1 1 1 1 1 =123454321

1 1 1 1 1 1 x 1 1 1 1 1 1 =12345654321

1 1 1 1 1 1 1 x 1 1 1 1 1 1 1 =1234567654321

1 1 1 1 1 1 1 1 x 1 1 1 1 1 1 1 1 =123456787654321

1 1 1 1 1 1 1 1 1 x 1 1 1 1 1 1 1 1 1 =12345678987654321