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Give two rational numbers lying between 0.232332333233332 . . . and 0.212112111211112.

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Let, a = 0.212112111211112
And, b = 0.232332333233332...
Clearly, a < b  because in the second decimal place a has digit 1 and b has digit 3 If we consider rational numbers in which the second decimal place has the digit 2, then they will lie between a and b.
Let,
x = 0.22
y = 0.22112211...
Then,
a < x < y < b
Hence, x, and y are required rational numbers.

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