\(\frac{320}{2^7\cdot 5^3\cdot 11}\) का दशमलव प्रसार कैसा होगा?
What type of decimal expansion will \(\frac{320}{2^7\cdot 5^3\cdot 11}\) have?
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Correct Answer
B. असांत आवर्तीNon-terminating recurring
Concept
Since \(320=2^6\cdot 5\), the reduced denominator is \(2\cdot 5^2\cdot 11\). Since (11) remains, the decimal is non-terminating recurring.
Why this answer is correct
The correct answer is B. असांत आवर्ती / Non-terminating recurring. Since \(320=2^6\cdot 5\), the reduced denominator is \(2\cdot 5^2\cdot 11\). Since (11) remains, the decimal is non-terminating recurring.
Exam Tip
\(320=2^6\cdot 5\) कटने पर हर \(2\cdot 5^2\cdot 11\) बचेगा। (11) बचने से दशमलव असांत आवर्ती होगा।
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