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Recurring Decimal Notation

Maths: KS3, topic 1.3.6

Recurring Decimal Notation

Decimals that repeat infinitely can be written in their own form.

One recurring digit

One recurring digit

  • For recurring decimals, the decimals that are repeated forever are represented with a dot above them.
  • Example: 0.9˙0.\dot{9}
  • This means that the decimal is 0.99999…0.99999\ldots, where it keeps going forever.
Two recurring digits

Two recurring digits

  • When there are dots over two numbers in a row, this means that they both repeat infinitely.
Recurring digits with gaps

Recurring digits with gaps

  • When there is a gap between two dots, the numbers inside the gap also get repeated infinitely.
Non-recurring digits

Non-recurring digits

  • If there is a number without a dot before the dot, that number does not get repeated.

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