Advertisements
Advertisements
प्रश्न
Write the condition to be satisfied by q so that a rational number \[\frac{p}{q}\] has a non-terminating decimal expansion.
संख्यात्मक
Advertisements
उत्तर
We need to find the condition to be satisfied by q so that a rational number `p/q` has a non-terminating decimal expression.
For the terminating decimal expression, we should not have a multiple of 10 in the denominator.
Hence, the prime factorization of q must not be of the form `2^mxx5^n`, where m and n are non-negative integers.
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
