\(\frac{175}{2^2\cdot 5^3\cdot 7^2}\) का दशमलव प्रसार कैसा होगा?
What type of decimal expansion will \(\frac{175}{2^2\cdot 5^3\cdot 7^2}\) have?
Explanation opens after your attempt
Correct Answer
C. असांत आवर्तीNon-terminating recurring
Concept
Since \(175=5^2\cdot 7\), the reduced denominator is \(2^2\cdot 5\cdot 7\). Since (7) remains, the decimal is non-terminating recurring.
Why this answer is correct
The correct answer is C. असांत आवर्ती / Non-terminating recurring. Since \(175=5^2\cdot 7\), the reduced denominator is \(2^2\cdot 5\cdot 7\). Since (7) remains, the decimal is non-terminating recurring.
Exam Tip
\(175=5^2\cdot 7\) कटने पर हर \(2^2\cdot 5\cdot 7\) बचता है। (7) बचने से दशमलव असांत आवर्ती होगा।
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