Irrational Numbers Between 0.1 and 0.12

Find Two Irrational Numbers Between 0.1 and 0.12

Solution (Direct Method):

\[ 0.1 < x < 0.12 \]

Choose non-terminating, non-repeating decimals between them:

\[ 0.1010010001…, \quad 0.11010010001… \]

These numbers lie between 0.1 and 0.12 and are non-terminating and non-repeating, hence irrational.


Final Answer:

\[ 0.1010010001…, \quad 0.11010010001… \]

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