Question

The decimal expansion of a real number is 23.123456 if it is expressed as a rational number in the form of p/q , write the prime factors of q​

Answer 1

Step-by-step explanation:

for writing in form of p/q

23.123456 x 1000000/ 1000000

so it becomes

23123456/1000000

q = 1000000

it's prime factor is

q = 2 x2x2x2x2x2x5x5x5x5x5x5

q = 2^6 x 5^6

Answer 2

Answer:

Step-by-step explanation: We know that the rational number having denominator 3,7,9,11,13,17,23,27... and multiple of these number, will have a non-terminating decimal expansion.

Here the decimal expansion is 327.7081, which is terminating.

Then, the prime factors of q, when this number is expressed in the form  p\q

  will be 2 or 5 or both.

Therefore, option A is correct.