Q

# Write the following in decimal form and say what kind of decimal expansion each has : (ii) 1/11

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

(ii)     $\frac{1}{11}$

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We can rewrite  $\frac{1}{11}$  as

$\Rightarrow \frac{1}{11}= 0.09090909..... = 0.\overline{09}$
Since decimal expansion repeats itself so it is a non-terminating recurring decimal expansion

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