repeating decimals
Digits that loop
Repeating decimals are decimal numbers in which one or more digits repeat infinitely after the decimal point.
The fraction 1/3 becomes 0.333... with the 3 continuing forever; 1/7 produces 0.142857142857... with the six-digit sequence cycling endlessly.
Any fraction with a denominator not composed solely of 2s and 5s produces a repeating decimal.
The repeating portion is often marked with a bar over the digits or ellipsis: 0.16̄ or 0.16...
Part divided by whole
- rationalGoverned by logic
- periodicOccurring at intervals
- reciprocalShared between two parties
- denominatorFraction's bottom number
numerator · quotient · division · long division · remainder · digits · place value · notation
Repeating sequence of events
- sequenceOrdered succession of elements
- recurrenceReturn of something previous
- periodPunctuation ending sentences
- loopCurve closing on itself
iteration · rhythm · periodicity · block · string · recurring · cyclical · predictable
Without termination or boundary
- unboundedHaving no limits
- limitlessWithout any boundaries
- perpetualLasting without interruption
- unendingLacking any terminus
continuum · everlasting · interminable · uninterrupted · ongoing · sustained · constant
fraction
Part divided by whole
- rationalGoverned by logic
- periodicOccurring at intervals
- reciprocalShared between two parties
denominator · numerator · quotient · division · long division · remainder · digits · place value · notation · vinculum
cycle
Repeating sequence of events
- sequenceOrdered succession of elements
- recurrenceReturn of something previous
- periodPunctuation ending sentences
loop · iteration · rhythm · periodicity · block · string · recurring · cyclical · predictable · regular
endless
Without termination or boundary
unending · continuum · everlasting · interminable · uninterrupted · ongoing · sustained · constant
- numbersone, two, four, three, 0
- Real Numbersintegers, fractions, rational numbers, irrational numbers, rationals
- number typesprime numbers, natural numbers, whole numbers, integers, rational numbers
repeating decimalsirrational numbers
Non-terminating, non-repeating decimals
repeat, repeating, repeated, repeater, repeaters, repeatable, repetition, repetitions, repetitive