Write the following in decimal form and say what kind of decimal expansion it has:
$\frac{3}{13}$

0.230769, N o n - t e r m i n a t i n g

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0.230769

R e p e a t i n g

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0.230769, N o n - r e p e a t i n g

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Solution

The correct options are
C $0.230769, N o n - t e r m i n a t i n g$
D $0.230769$ , $R e p e a t i n g$
$\frac{3}{13} = 0.230769230769......$
$= 0. ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 230769 (N o n t e r m i n a t i n g o r r e p e a t i n g)$

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