Question

A number having non-terminating and recurring decimal expansion is _____

• A. An integer
• B. A rational number
• C. An irrational number
• D. A whole number

Answer 1

Answer: (B)

A rational number

A number having non-terminating and recurring decimal expansion is a Rational Number

For example,

$\frac{2}{7}$ is a rational number

$\frac{2}{7}=\mathrm{0.285714285714285714..........}$

or $\frac{2}{7}=0.\overline{285714}$

The number has non-terminating decimal expansion but recurring after every 6 digits after decimal.

So, option $B$ is correct.