1. (i) 43.123456789 Since this number has a terminating decimal expansion, it is a rational number of the form and q is of the form 2^m x 5^n i.e., the prime factors of q will be either 2 or 5 or both. (ii) 0.120120012000120000..... The decimal expansion is neither terminating nor recurring. Therefore,Read more

    (i) 43.123456789
    Since this number has a terminating decimal expansion, it is a rational number of the form and q is of the form 2^m x 5^n
    i.e., the prime factors of q will be either 2 or 5 or both.
    (ii) 0.120120012000120000…..
    The decimal expansion is neither terminating nor recurring. Therefore, the given number is an irrational number.

    Explanation 👇

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