A rational number in its decimal expansion is 327.7081. What can you say about the prime factors of q, when this number is expressed in the form p/q ?

Solution: (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 2×5 i.e., the prime factors of q...

(i)  17/8                Factorize the denominator we get                         8 =2 x 2 x 2 = 23       So denominator is in form of 2n so 17/8 is terminating . (ii) 15/1600          Factorize the denominator we get                         1600 =2 x 2 x 2 x2...

The product of a non zero rational and an irrational number is always irrational 

We have 33/(2^2x 5) = 33x5/(2^2x 5^2) = 165/100 = 1.65 Now if a number is of type, n/(2^a  x 5^b) where n is not a multiple of 2 or 5, then...

Correct answer (D) four decimal places

Correct answer is (B) 11/160

Correct answer is (D) 2m x 5n

As 1.7351 is a terminating decimal number, so q must be of the form 2m 5m where m ,n are natural numbers.