** Definition of Recurring Decimal**

- Recurring Decimals are decimals in which a digit or a sequence of digits keeps repeating. For example: 0.666666666…

**More about Recurring Decimal**

- Recurring decimal is also known as repeating decimal.
- The repeating decimal can be represented by putting a bar over the digit or the sequence of digits that repeat. For instance, 0.166666666 can also be written as .

**Examples of Recurring Decimal**

- Here are a few examples of recurring or repeating decimals.

0.3333333 or

0.166666666 or

0.86666666666 or

**Solved Example on Recurring Decimal**

Which of the following is a repeating decimal?

Choices:

A.

B.

C.

D.

Correct Answer: D

Solution:

Step 1:When a digit or sequence of digits keeps repeating in a decimal, it is called a repeating decimal.

Step 2:For , when 8 is divided by 5, the quotient is 1.6.

Step 3:For , when 1 is divided by 4, the quotient is 0.25.

Step 4:For , when 5 is divided by 10, the quotient is 0.5.

Step 5:For , when 1 is divided by 11, the quotient is 0.090909... and the digits 09 are repeating.

Step 6:Therefore, is a repeating decimal.

**Related Terms for Recurring Decimal**

- Decimal
- Digit
- Nonrepeating Decimal
- Recurring Decimal
- Repeating Decimal
- Sequence