3.27̅ Is a Rational Number

Video Explanation

Watch the video below for a clear explanation:

Solution

Question: 3.27̅ is:

(a) an integer    (b) a rational number    (c) a natural number    (d) an irrational number

Key Concept

A non-terminating repeating (recurring) decimal always represents a rational number.

Explanation

The given number 3.27̅ means 3.272727…, where the digits 27 repeat continuously.

Since the decimal expansion is non-terminating but repeating, the number can be expressed in the form p/q, where p and q are integers and q ≠ 0.

Final Answer

✔ 3.27̅ is a rational number.

✔ Correct option: (b) a rational number

Conclusion

Thus, any repeating decimal such as 3.27̅ represents a rational number.