Question

State whether rational number 2/11 is terminating or non terminating recurring

Answer 1

Non terminating reccuring decimal

Answer 2

Answer:

Step-by-step explanation:

Without actual division one can check a given rational number is terminating decimal expansion if its denominator can be written in form of $2^n5^m$

Here, given rational number is $\frac{2}{11}$.

Denominator is 11 so, it cannot be written in form $2^n5^m$.

Thus, $\frac{2}{11}$ has a non-terminating repeating decimal expansion.

Also , below attachment justifies this,

$\frac{2}{11}=0.18181818..$