\(\frac{125}{2^8\cdot 5^6\cdot 11}\) का दशमलव प्रसार कैसा होगा?
What type of decimal expansion will \(\frac{125}{2^8\cdot 5^6\cdot 11}\) have?
Explanation opens after your attempt
Correct Answer
B. असांत आवर्तीNon-terminating recurring
Concept
Even after \(125=5^3\) cancels, (11) remains in the denominator. If a reduced denominator has a prime other than (2) and (5), the decimal is non-terminating recurring.
Why this answer is correct
The correct answer is B. असांत आवर्ती / Non-terminating recurring. Even after \(125=5^3\) cancels, (11) remains in the denominator. If a reduced denominator has a prime other than (2) and (5), the decimal is non-terminating recurring.
Exam Tip
\(125=5^3\) कटने पर भी हर में (11) बचता है। सरलतम हर में (2) और (5) के अलावा कोई अभाज्य रहे तो दशमलव असांत आवर्ती होता है।
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