18
Jun

Mathematical combinations so interesting

Mathematics has always been a brainchild to so many things that have evolved in life, its a under statement that some mathematic calculations lead to amazing combinations in its own.

Well with amazing i do mean that they are amazing combinations used, the Fibonacci series is one of them, but how many such series do exist do we even know about them, here are few series which lead to an amazing amount of curiosity what numbers can do.

I found this through CuriousMath just wondering how many such combinations do exist, your inputs are always welcome, but still have a look at some amazing combinations numbers can perform.

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

and so on

4 x 4 = 16
34 x 34 = 1156
334 x 334 = 111556
3334 x 3334 = 11115556
33334 x 33334 = 1111155556

Do you have your own mathematical combinations that have left you awe struck, you can comment them here its always awesome.

Via: CuriousMath

 

One Response so far | Have Your Say!

  1. vinod
    June 20th, 2006 at 7:26 am #

    hi
    I was trying to find trackback on your site when I didn;t find one I made a post on my site
    Here is my note on the Curious Math

    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

    Here is the link to the post which I made
    http://vinodvv.wordpress.com/2006/06/20/curious-math-magical-numbers/

Leave a Comment

XHTML: You can use these tags: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <strike> <strong>