Recurring Decimal Fraction: Is 0.123 an Example?
What is a Recurring Decimal Fraction?
A recurring decimal fraction is a type of decimal fraction that has a sequence of digits that repeats indefinitely in a predictable pattern. For example, the decimal fraction 0.333... is a recurring decimal fraction because the sequence of digits "3" repeats indefinitely.
Is 0.123 a Recurring Decimal Fraction?
Now, let's examine the statement: "0.123 is an example of a recurring decimal fraction."
The answer is FALSE.
Why is 0.123 not a Recurring Decimal Fraction?
The reason 0.123 is not a recurring decimal fraction is that the sequence of digits "123" does not repeat indefinitely in a predictable pattern. In other words, the digits "123" do not repeat themselves in a continuous cycle.
Example of a Recurring Decimal Fraction
A correct example of a recurring decimal fraction is 0.142857142857... , where the sequence of digits "142857" repeats indefinitely.
Conclusion
In conclusion, 0.123 is not an example of a recurring decimal fraction because the sequence of digits "123" does not repeat indefinitely in a predictable pattern.
