Write the following in decimal form and state what kind of decimal expansion each has:
$\frac{2}{11}$

(N/A) To write $\frac{2}{11}$ in decimal form,we perform long division by dividing $2$ by $11$.
Dividing $2$ by $11$:
$2 \div 11 = 0.1818...$
As the remainder $2$ repeats,the quotient $0.18$ repeats indefinitely.
Thus,$\frac{2}{11} = 0.1818... = 0.\overline{18}$.
Since the decimal expansion does not terminate and the digits repeat,the decimal expansion of $\frac{2}{11}$ is a non-terminating recurring decimal.