Some intresting mathematical facts...

freinds waise to maths zyadatar student ko kuch khaas pasand nahi hota lekin asal me ye bahut interesting subject hai.

aur aaj main apke liye kuch aise hi mathematical facts lekar aaya hun jo bahut hi intresting hain.



Numeric Palindrome with 1's




                                  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










Sequential Inputs of numbers with 8


              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










Sequential 1's with 9


                  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










Sequential 8's with 9


               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










Without 8


12345679 x 9 = 111111111


12345679 x 18 = 222222222


12345679 x 27 = 333333333


12345679 x 36 = 444444444


12345679 x 45 = 555555555


12345679 x 54 = 666666666


12345679 x 63 = 777777777


12345679 x 72 = 888888888


12345679 x 81 = 999999999










Sequential Inputs of 9


                                9 x 9 = 81


                            99 x 99 = 9801


                        999 x 999 = 998001


                    9999 x 9999 = 99980001


                99999 x 99999 = 9999800001


            999999 x 999999 = 999998000001


        9999999 x 9999999 = 99999980000001


    99999999 x 99999999 = 9999999800000001


999999999 x 999999999 = 999999998000000001










Sequential Inputs of 6


                                6 x 7 = 42


                            66 x 67 = 4422


                        666 x 667 = 444222


                    6666 x 6667 = 44442222


                66666 x 66667 = 4444422222


            666666 x 666667 = 444444222222


        6666666 x 6666667 = 44444442222222


    66666666 x 66666667 = 4444444422222222


666666666 x 666666667 = 444444444222222222



Take care freinds

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