Question

.A rational number p/q with q not of the form 2^m 5^n, has a ..........and
................... decimal expansion​

Answer 1

Answer:

Read Theorem 1.5 of the lesson

' Real Numbers' in your NCERT textbook.

Thereafter, it's quite simple.

Since, a rational number 'x', expressed as p/q, where the prime factorisation of q is of the form 2^n5^m, is having a terminating decimal expansion.

Therefore, if the prime factorisation of q is not of the form 2^n5^n, then X has a 'non- terminating, recurring decimal expansion.

..............