Beauty of Math

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Excerpt from the the column GOTCHA of Jarius Bondoc @ The Philippine Star:

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

 

another:

1 x 9 + 2 = 11

123 x 9 + 3 = 111

1234 x  9 + 4 = 1111

12345 x  9 + 5 = 11111

123456 x  9 + 6 = 111111

1234567 x  9 +  7 = 1111111

12345678 x  9 + 8 = 11111111

123456789 x  9 +  9 = 111111111

123456789 x  9 +  10 = 1111111111

next:

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

and finally:

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

just sharing it.heheheh…



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