Definitions for repeating decimalre·peat·ing dec·i·mal

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1. circulating decimal, recurring decimal, repeating decimalnoun

a decimal with a sequence of digits that repeats itself indefinitely

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1. repeating decimalnoun

A decimal representation of a real number that, at some point, becomes periodic (and repeats the same sequence of digits indefinitely)

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1. Repeating decimal

In arithmetic, repeating decimal is a way of representing a rational number. Thus, a decimal representation of a number is called a repeating decimal if at some point it becomes periodic, that is, if there is some finite sequence of digits that is repeated indefinitely. For example, the decimal representation of 1/3 = 0.3333333… or 0.3 becomes periodic just after the decimal point, repeating the single-digit sequence "3" infinitely. A somewhat more complicated example is 3227/555 = 5.8144144144…, where the decimal representation becomes periodic at the second digit after the decimal point, repeating the sequence of digits "144" indefinitely. Rational numbers are numbers that can be expressed in the form a/b where a and b are integers and b is non-zero. This form is known as a common fraction. On the one hand, the decimal representation of a rational number is ultimately periodic, as explained below. On the other hand every real number which has an eventually periodic decimal expansion is a rational number. In other words the numbers with eventually repeating decimal expansions are exactly the rational numbers.³²

Numerology

1. Chaldean Numerology

The numerical value of repeating decimal in Chaldean Numerology is: 1

2. Pythagorean Numerology

The numerical value of repeating decimal in Pythagorean Numerology is: 7

Translations for repeating decimal

From our Multilingual Translation Dictionary

• decimal periódico

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