Skip to main content
circulating decimal

circulating decimal

7.9
A decimal number with a group of digits that repeats forever
  • noun
  • /ˈsɜrkjəˌleɪtɪŋ ˈdɛsɪməl/
  • Specialized
translation icon : decimal periódico
  • The fraction one third is written as a circulating decimal: 0.333...

Examples

  • When you divide 2 by 7, you get a circulating decimal which continues indefinitely: 0.285714285714...

  • When converted to a decimal, 2/7 produces a circulating decimal sequence.

  • He explained that a circulating decimal has a set of digits that never ends.

  • The fraction one third is expressed as a circulating decimal.

  • Can you give an example of a circulating decimal?

  • The fraction one third represents a circulating decimal because it can be written as 0.333...

  • A circulating decimal like 0.666... shows that the digit 6 repeats endlessly.

Synonyms

recurring decimal
vscirculating decimal
  • UK
6.5

A number with digits after the point that repeat forever

is the same concept but named as a decimal fraction
repeating decimal
vscirculating decimal
  • Specialized
4.2

A decimal number with a group of digits that goes on forever after the decimal point

is the same idea but emphasizes a repeating sequence rather than a vague point

Surface Forms

Morphology

circulating + decimal

A learner who knows 'circulating' as moving in a cycle and 'decimal' as a number with a decimal point could plausibly infer that some pattern in the decimal repeats or cycles. However, the phrase is a technical mathematical term meaning a specific repeating sequence of digits; the everyday sense of 'circulating' does not fully specify this meaning and many languages use 'repeating/recurring' rather than 'circulating', so the relation is only partially predictable.

Etymology

Circulating decimal paints a picture of a small group of digits that keep going round and round after the decimal point; the word circulating suggests movement and decimal is the part after the point. That's why it means 'a decimal where a sequence of digits repeats forever'.