What is a Repeating Decimal?

What is a Repeating Decimal?

Note:

A repeating decimal is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending. Did you know that all repeating decimals can be rewritten as fractions? To make these kinds of decimals easier to write, there's a special notation you can use! Learn about repeating decimals in this tutorial.

Keywords:

  • decimal
  • repeat
  • repeating
  • infinite
  • bar notation
  • bar
  • digit
  • definition
  • repeats

Background Tutorials

  • Rational Number Definitions

      • What's a Rational Number?What's a Rational Number?

      What's a Rational Number?

      There are lots of different kind of numbers that you should know about, and that includes rational numbers. Check out the tutorial!

  • Real Number Definitions

      • What's an Irrational Number?What's an Irrational Number?

      What's an Irrational Number?

      Is an irrational number just a way to describe a number that's lost its mind? Not really. :) An irrational number is simply a number that cannot be written as a fraction. Check out the definition, learn an important property of these special numbers, and take a look at some examples of irrational numbers.

Further Exploration

  • Comparing Rational Numbers

      • How Do You Put Fractions and Decimals in Order?How Do You Put Fractions and Decimals in Order?

      How Do You Put Fractions and Decimals in Order?

      Ordering numbers from least to greatest? Are the numbers in different forms? To make comparing easier, convert all the numbers to decimals. Then, plot those decimals on a number line and compare them! This tutorial shows you how!