recurring decimal

A recurring decimal is a decimal fraction which has an infinite number of digits.

An example is \dfrac13, as \dfrac13 = 0.33333…

We can see that the number 3 goes on and on. This is shown by placing a dot over the repeating digit, like this:

    \text0. {\dot3}

Another example is \dfrac17, as \dfrac17 = 0.142857142…

In this example, a block of numbers, namely 142857, repeats forever. When this happens, a dot is placed over the first repeating digit and the last repeating digit in the block, like this:

    \text0. {\dot1}\text{4285}{\dot7}

The opposite of recurring decimal is terminating decimal.