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Math Definitions - Letter R


Recurring Decimal

Definition of Recurring Decimal

Definition of Recurring Decimal

A recurring decimal is a decimal number in which a small group of digits after the decimal point are repeated over and over, forever and ever.

For example,

  • \(\dfrac{2}{3} = 0.666666\dots\) is a recurring decimal (the \(6\) repeats forever and ever).
  • \(\dfrac{1}{6}=0.16666\dots\) is a recurring decimal (the \(6\) repeats forever and ever).
  • \(\dfrac{5}{11} = 0.4545454545\dots\) is a recurring decimal (the "\(45\)" repeats forever).

Sometimes we indicate the part of a recurring decimal that repeats by placing dots over the first and last digits of the repeating group of decimal places. Another way to show this is to place a line over the group of repeating digits.

Another name for a recurring decimal is a "repeating decimal".

Description

The aim of this dictionary is to provide definitions to common mathematical terms. Students learn a new math skill every week at school, sometimes just before they start a new skill, if they want to look at what a specific term means, this is where this dictionary will become handy and a go-to guide for a student.



Audience

Year 1 to Year 12 students

Learning Objectives

Learn common math terms starting with letter R

Author: Subject Coach
Added on: 5th Feb 2018

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