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Write the following in decimal form and say what kind of decimal expansion each has: (v) 2/ 11

1. Write the following in decimal form and say what kind of decimal expansion each has :

(v)    \frac{2}{11}

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We can rewrite \frac{2}{11} as

\Rightarrow \frac{2}{11} = 0.181818......= 0.\overline{18}
Since decimal expansion repeats itself so it is a non-terminating recurring decimal expansion

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