43.123456789 is a rational or irrational number

1.	43.123456789 is a rational or irrational number
Answer» x = 43.123456789is a rational .x = 43123456789/( 1000000000 )= 43123456789/( 10^9 )= 43123456789/( 2 × 5 )^9= 43123456789/( 2^9 × 5^9 )\xa0Here , q = 2^9 × 5^9 ( 2ⁿ × 5^m form )43.123456789 is a terminating decimal.\xa0 It is rational Rational No. Beacuse it is terminate at last It is rational because decimal expansion is terminating. Therefore, it can be expressed in p/q form where factors of q are of the form 2n.5m where n and m are non-negative integers.

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