Repeating or Recurring Decimals
deutsch: periodische dezimal zahlen
My Favorite Notation
1/3 = 3/9 = 0.~3
7/12 = 525/900 = 0.58~3
1/7 = 142857/999999 = 0.~142857
3227/555 = 5.8~144
irrationals, infinite or never ending
Any number that cannot be expressed as a ratio of two integers is said to be irrational. Their decimal representation neither terminates nor infinitely repeats but extends forever without regular repetition.
Examples of such irrational numbers are π, e and the square roots of 2 and many other numbers.
rational or fraction
- repeating, recurring or periodic
natural or positive