\(\frac{200}{2^3\cdot 5^3\cdot 7}\) का दशमलव प्रसार कैसा होगा?
What type of decimal expansion will \(\frac{200}{2^3\cdot 5^3\cdot 7}\) have?
Explanation opens after your attempt
Correct Answer
B. असांत आवर्तीNon-terminating recurring
Concept
Since \(200=2^3\cdot 5^2\), the reduced denominator is \(5\cdot 7\). Since (7) remains, the decimal is non-terminating recurring.
Why this answer is correct
The correct answer is B. असांत आवर्ती / Non-terminating recurring. Since \(200=2^3\cdot 5^2\), the reduced denominator is \(5\cdot 7\). Since (7) remains, the decimal is non-terminating recurring.
Exam Tip
\(200=2^3\cdot 5^2\) कटने पर हर \(5\cdot 7\) बचेगा। (7) बचने से दशमलव असांत आवर्ती होगा।
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