New scientific calculator

[CreatedEvolution]

a tenth would look like this in base 336.

.33201 201 repeating. however i believe only tenths and fifths repeat.

my first attempt at the second digit decimals.

.01 = 1/112896

.167168 = 1/56280

28140 / 336 = 83.75
.75 x 336 = 252
[U].[/U][S]0[/S][U]83[/U][S]252 [/S] = 1/28140
[U].zero[/U][S]eightythree[/S][U]twofiftytwo[/U]

7035/336 = 20.9375
.9375 x 336 = 315
[U].0[/U][S]20 [/S][U]315[/U] = 1/7035
.zerotwentythreefifteen


.875 x 336 = 294

..375 x 336 = 126

.1875 x 336 = 63

 

[CreatedEvolution]

I like to argue with myself. I could argue ten has misled us because many fractions cannot be expressed but we have ten fingers. It is our evolution that is preventing us from evolving and finding a better more beautiful and suitable base that ten or something ending in a zero or five. I would argue that ten has enticed us but we must separate from our old ways because decimals would be much more exact even expressed in two or three base 336 decimals.

On the other hand base ten is pretty simple and imaginary zeroes can be beneficial.

my bottom line argument is that base ten cannot express 1/3, 1/6, 1/7, 1/9, 1/11, 1/12, 1/13, or 1/14

while base 336 only struggles in tenths.

My theory is if we had 12 fingers we would have never used the base 10 system. Therefore we should switch to a better base system.

 

[CreatedEvolution]

A funny thing about my initial guess 360 that can do every thing but 1/7 and that might be way better it does tenths fifths halfs thirds fourths my initial guess may have been right after all.

 

[ImmortalMelvz]

Are you in, anyway, interested in writing a book about that? Could you please easify the mathematical process so that it can be understood easily. Thank you!

 

[ImmortalMelvz]

Please write a book & state your simplification equations of the decimal system, you're a genius!