यदि \(\frac{p}{q}\) सरलतम रूप में है और \(q=2^m5^n\cdot 13^r\) जहाँ (r>0) है तो दशमलव प्रसार कैसा होगा?
If \(\frac{p}{q}\) is in lowest form and \(q=2^m5^n\cdot 13^r\), where (r>0), what type of decimal expansion will it have?
Explanation opens after your attempt
B. असांत आवर्तीNon-terminating recurring
Concept
A positive power of (13) remains in the reduced denominator. Therefore the rational number has a non-terminating recurring decimal.
Why this answer is correct
The correct answer is B. असांत आवर्ती / Non-terminating recurring. A positive power of (13) remains in the reduced denominator. Therefore the rational number has a non-terminating recurring decimal.
Exam Tip
सरलतम हर में (13) की धनात्मक घात बची है। इसलिए परिमेय संख्या का दशमलव असांत आवर्ती होगा।
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