Check whether $\frac{6}{200}$ has terminating or non terminating repeating decimal expansion.

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Solution

$\frac{6}{200} =$ $200) 600 (0.03$
$- 600$
_
$000$
_
$\Rightarrow \frac{6}{200} = 0.03 =$ Terminating.

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Check whether 6200 has terminating or non terminating repeating decimal expansion.

6200= 200)600(0.03 −600 ___________ 000 ___________⇒6200=0.03= Terminating.

Check whether $\frac{6}{200}$ has terminating or non terminating repeating decimal expansion.

$\frac{6}{200} =$ $200) 600 (0.03$
$- 600$
_
$000$
_
$\Rightarrow \frac{6}{200} = 0.03 =$ Terminating.