Number 9 table and patterns

Is memorizing 9 table tough for you? If yes, then after reading this article you would be able to easily write the table.

Just have a look at the 9 table below
9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
9 x 5 = 45
9 x 6 = 54
9 x 7 = 63
9 x 8 = 72
9 x 9 = 81
9 x 10= 90

Now, carefully look at the product/results. Did you notice anything? Firstly,the Tens place of the result is increasing order of 0 to 8 and the Units place of the result is nothing but decreasing order of 9 to 0. Secondly, the products are digital reverse of each other. Look at the table below.

9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
9 x 5 = 45
9 x 6 = 54 (reverse of 45)
9 x 7 = 63 (reverse of 36)
9 x 8 = 72 (reverse of 27)
9 x 9 = 81 (reverse of 18)
9 x 10= 90 (reverse of 09)

Last but not the least, sum the digits of the result is always 9. Look at the below table for reference.
9 x 1 = 9 | 0 + 9 = 9
9 x 2 = 18 | 1 + 8 = 9
9 x 3 = 27 | 2 + 7 = 9
9 x 4 = 36 | 3 + 6 = 9
9 x 5 = 45 | 4 + 5 = 9
9 x 6 = 54 | 5 + 4 = 9
9 x 7 = 63 | 6 + 3 = 9
9 x 8 = 72 | 7 + 2 = 9
9 x 9 = 81 | 8 + 1 = 9

Now that you know how to write the 9 table, check out some cool patterns that can be generated with number 9.

9 x 0 + 1 = 1
9 x 1 + 2 = 11
9 x 12 + 3 = 111
9 x 123 + 4 = 1111
9 x 1234 + 5 = 11111
9 x 12345 + 6 = 111111
9 x 123456 + 7 = 1111111
9 x 1234567 + 8 = 11111111

9 x 9 + 7 = 88
9 x 98 + 6 = 888
9 x 987 + 5 = 8888
9 x 9876 + 4 = 88888
9 x 98765 + 3 = 888888
9 x 987654 + 2 = 8888888
9 x 9876543 + 1 = 88888888

1/9 = 0.111111111111
1/99 = 0.010101010101
1/999 = 0.001001001001
1/9999 = 0.000100010001
1/99999 = 0.000010000100001
so on.