The Magical Of Math

never thought of this.....

0 x 9 + 0 = 0

1 x 9 + 1 = 10

12 x 9 + 2 = 110

123 x 9 + 3 = 1110

1234 x 9 + 4 = 11110

12345 x 9 + 5 = 111110

123456 x 9 + 6 = 1111110

1234567 x 9 + 7 = 11111110

12345678 x 9 + 8 = 111111110

123456789 x 9 + 9 = 1111111110


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


Another Magic of Math

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


Then... Check this out ...

1 x 18 + 1 = 19

12 x 18 + 2 = 218

123 x 18 + 3 = 2217

1234 x 18 + 4 = 22216

12345 x 18 + 5 = 222215

123456 x 18 + 6 = 2222214

1234567 x 18 + 7 = 22222213

12345678 x 18 + 8 = 222222212

123456789 x 18 + 9 = 2222222211


Try this one

123456789 + 987654321 = 1111111110

1 x 142857 = 142857 (same number)

2 x 142857 = 285714 (same number, different position )

3 x 142857 = 428571 (same number, different position )

4 x 142857 = 571428 (same number, different position )

5 x 142857 = 714285 (same number, different position )

6 x 142857 = 857142 (same number, different position )

7 x 142857 = 999999 (PERFECT!)


9

1 x 9 = 9

2 x 9 = 18, sum of 1 + 8 = 9

3 x 9 = 27, sum of 2 + 7 = 9

4 x 9 = 36, sum of 3 + 6 = 9


The short way

33 x 9 = 297, --> 3 x 9 = 27 , then place the "9" on the middle of 27 --> 297

44 x 9 = 396

55 x 9 = 495

66 x 9 = 594

77 x 9 = 693

88 x 9 = 792

99 x 9 = 891

To be continued....