கணித வித்தைகள்

Curious Math – Magical Numbers

சில கணித விளையாட்டுக்களை நாம் இங்கு காணலாம் .

111,111,111 x 111,111,111 = 12,345,678,987,654,321

3 x 37 = 111 and 1 + 1 + 1 = 3

6 x 37 = 222 and 2 + 2 + 2 = 6

9 x 37 = 333 and 3 + 3 + 3 = 9

12 x 37 = 444 and 4 + 4 + 4 = 12

15 x 37 = 555 and 5 + 5 + 5 = 15

18 x 37 = 666 and 6 + 6 + 6 = 18

21 x 37 = 777 and 7 + 7 + 7 = 21

24 x 37 = 888 and 8 + 8 + 8 = 24

27 x 37 = 999 and 9 + 9 + 9 = 27


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


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

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


7 x 7 = 49

67 x 67 = 4489

667 x 667 = 444889

6667 x 6667 = 44448889

66667 x 66667 = 4444488889

666667 x 666667 = 444444888889

6666667 x 6666667 = 44444448888889

etc.


4 x 4 = 16

34 x 34 = 1156

334 x 334 = 111556

3334 x 3334 = 11115556

33334 x 33334 = 1111155556

etc.

1 X 9 = 09   = 0 + 9 = 9
2 X 9 = 18   = 1 + 8 = 9
3 X 9 = 27   = 2 + 7 = 9
4 X 9 = 36   = 3 + 6 = 9
5 X 9 = 45   = 4 + 5 = 9
6 X 9 = 54   = 5 + 4 = 9
7 X 9 = 63   = 6 + 3 = 9
8 X 9 = 72   = 7 + 2 = 9
10 X 9 = 90 = 9 + 0 = 9

 and the the magical number is 9 

சும்மா தமாசுக்கு  அதுக்காக இப்படியா கணக்கு பண்றது...