Classify the following numbers as rational or irrational with justification:
$(i)$ $10.124124.....$
$(ii)$ $1.010010001 \ldots$
Classify the following numbers as rational or irrational with justification:
$(i)$ $10.124124.....$
$(ii)$ $1.010010001 \ldots$
$(i)$ $10.124124 \ldots$ is a decimal expansion which non-terminating recurring.
Hence, it is a rational number.
$(ii)$ $1.010010001 \ldots$ is a decimal expansion which is non-terminating non-recurring.
Hence, it is an irrational number.
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