عجائب الرياضيات

:)
1x 8 + 1 = 9

12x 8 + 2 = 98


123x 8 + 3 = 987


1234x 8 + 4 = 9876


12345x 8 + 5 = 98765


123456x 8 + 6 = 987654


1234567x 8 + 7 = 9876543


12345678x 8 + 8 = 98765432


123456789x 8 + 9 = 987654321





1x 9 + 2 = 11


12x 9 + 3 = 111


123x 9 + 4 = 1111


1234x 9 + 5 = 11111


12345x 9 + 6 = 111111


123456x 9 + 7 = 1111111


1234567x 9 + 8 = 11111111


12345678x 9 + 9 = 111111111

123456789x 9 +10= 1111111111






9x 9 + 7 = 88

98x 9 + 6 = 888


987x 9 + 5 = 8888


9876x 9 + 4 = 88888


98765x 9 + 3 = 888888


987654x 9 + 2 = 8888888


9876543x 9 + 1 = 88888888


98765432x 9 + 0 = 888888888







Brilliant, isn't it ?




And look at this symmetry:

1x 1 = 1

11x 11 = 121

111x 111 = 12321

1111x 1111 = 1234321

11111x 11111 = 123454321

111111x 111111 = 12345654321

1111111x 1111111 = 1234567654321

11111111x 11111111 = 123456787654321

111111111x 111111111=12345678987654321

:):)جزاك الله خير