| 1 x 8 + 1 = 9 |
| 12 x 8 + 2 = 98 |
| 123 x 8 + 3 = 987 |
| 1234 x 8 + 4 = 9876 |
| 12345 x 8 + 5 = 98765 |
| 123456 x 8 + 6 = 987654 |
| 1234567 x 8 + 7 = 9876543 |
| 12345678 x 8 + 8 = 98765432 |
| 123456789 x 8 + 9 = 987654321 |
| 1 x 9 + 2 = 11 |
| 12 x 9 + 3 = 111 |
| 123 x 9 + 4 = 1111 |
| 1234 x 9 + 5 = 11111 |
| 12345 x 9 + 6 = 111111 |
| 123456 x 9 + 7 = 1111111 |
| 1234567 x 9 + 8 = 11111111 |
| 12345678 x 9 + 9 = 111111111 |
| 123456789 x 9 +10= 1111111111 |
| 9 x 9 + 7 = 88 |
| 98 x 9 + 6 = 888 |
| 987 x 9 + 5 = 8888 |
| 9876 x 9 + 4 = 88888 |
| 98765 x 9 + 3 = 888888 |
| 987654 x 9 + 2 = 8888888 |
| 9876543 x 9 + 1 = 88888888 |
| 98765432 x 9 + 0 = 888888888 |
| Brilliant, isn't it? |
| And finally, take a look at this symmetry: |
| 1 x 1 = 1 |
| 11 x 11 = 121 |
| 111 x 111 = 12321 |
| 1111 x 1111 = 1234321 |
| 11111 x 11111 = 123454321 |
| 111111 x 111111 = 12345654321 |
| 1111111 x 1111111 = 1234567654321 |
| 11111111 x 11111111 = 123456787654321 |
| 111111111 x 111111111=12345678987654321 |
"Four things support the world: the learning of the wise, the justice of the great, the prayers of the good, and the valor of the brave."