Info

Repeating Decimals

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

Numbers

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
  • finite

integer

natural or positive

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s