# Thread: Non-algebraic pattern, division by 9. - Decimology

1. ## Non-algebraic pattern, division by 9. - Decimology

A new non-agebraic pattern I found for the field of Decimology. (Click me for decimology information)

Take a number and divide it by 9.

Example:
23 consists of the digits 2 and 3, take the first digit, "2". This is the first digit to the answer of 23÷9, now take the second digit and add it to the previous digit(s), "5" is the second digit to your answer, now take the third digit's value "0" and add it to all previous digits, "2 and 3", "5" is the third digit to your answer, and so on.
∴ 23÷9 = 2.555

123.21÷9
1=1
1+2=3
1+2+3=6
1+2+3+2=8
1+2+3+2+1=9
1+2+3+2+1+0=9
1+2+3+2+1+0+0=9...
The answers to the equations above (which were made by using the digits of the number, "123.21" being divided by 9.) in order are: 13.68999‾
...
123.21÷9=13.68999‾

This works for all numbers, however large or complex.

(Will post psi notation rule for this pattern soon)

Originally Posted by tonio
Hmmm.... $\displaystyle \frac{86}{9}=9.555....$ doesn't seem to abide by your rule, but even if it did: can you prove it?

Tonio
86/9 = 9.55555
You did it wrong, sorry, it's partly my fault because I didn't explain it that well.

86 consists of 8, 6, 0, 0, 0, 0, 0... (because 86 = 86.000000000...)

8 (the answer is currently 8)
8+6 = 14 (carry the one)..... (the answer is currently (9.4)
8+6+0 = 14 (carry the one again)..... (the answer is currently 9.54)
8+6+0+0 = 14... (=9.554)
8+6+0+0+0 = 14.... (=9.5554)
as you can see you will eventually get 9.55555555

2. Originally Posted by orange gold
A new non-agebraic pattern I found for the field of Decimology. (Click me for decimology information)

Take a number and divide it by 9.

Example:
23 consists of the digits 2 and 3, take the first digit, "2". This is the first digit to the answer of 23÷9, now take the second digit and add it to the previous digit(s), "5" is the second digit to your answer, now take the third digit's value "0" and add it to all previous digits, "2 and 3", "5" is the third digit to your answer, and so on.
∴ 23÷9 = 2.555‾

123.21÷9
1=1
1+2=3
1+2+3=6
1+2+3+2=8
1+2+3+2+1=9
1+2+3+2+1+0=9
1+2+3+2+1+0+0=9...
The answers to the equations above (which were made by using the digits of the number, "123.21" being divided by 9.) in order are: 13.68999‾
...
123.21÷9=13.68999‾

This works for all numbers, however large or complex.

(Will post psi notation rule for this pattern soon)

Hmmm.... $\displaystyle \frac{86}{9}=9.555....$ doesn't seem to abide by your rule, but even if it did: can you prove it?

Tonio

3. Originally Posted by tonio
Hmmm.... $\displaystyle \frac{86}{9}=9.555....$ doesn't seem to abide by your rule, but even if it did: can you prove it?

Tonio
86/9 = 9.55555
You did it wrong, sorry, it's partly my fault because I didn't explain it that well.

86 consists of 8, 6, 0, 0, 0, 0, 0... (because 86 = 86.000000000...)

8 (the answer is currently 8)
8+6 = 14 (carry the one)..... (the answer is currently (9.4)
8+6+0 = 14 (carry the one again)..... (the answer is currently 9.54)
8+6+0+0 = 14... (=9.554)
8+6+0+0+0 = 14.... (=9.5554)
as you can see you will eventually get 9.55555555