decide whether they are ration you say about the prime facto (1) 43.123456789 Summary his chapter, you have studied the real answer send me
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43.123456789 is terminating or rational43.123456789=100000000043123456789=10943123456789=(2×5)943123456789=29×5943123456789This is in the form of qp, and the prime factors of q are in terms of 2 and 5.ii) 0.120120012000120000.... is non-terminating and non-repeating, it is irrational. Hence cannot be expressed in the form of qpiii) 43.123456789 is non-terminating but repeating. So, it would be rational.Let x=43.123456789 …(1) 1000000000x=43123456789,123456789 …(2)(2)−(1)⇒999999999x=43123456746⇒x=99999999943123456746=34×371×3336671