Insert a rational number and an irrational number between the following:

$0$ and $0.1$

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$0.04$ is a terminating decimal and also it is lies between $0$ and $0.1 .$ Hence, $0.04$ is a rational number which lies between $0$ and $0.1 .$ Again $0.003000300003 \ldots$ is a non-terminating and non-recurring decimal which lies between $0$ and $0.1 .$ Hence, $0.003000300003 \ldots$ is an irrational number between $0$ and $0.1 .$

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