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.
Video Examples: Recurring Decimals
Solved Example on Recurring Decimal
Ques: Which of the following is a repeating decimal?.
Correct Answer: D
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.