\(\frac{243}{2^5\cdot 3^5\cdot 5^4}\) का दशमलव प्रसार कितने स्थानों पर समाप्त होगा?
After how many decimal places will \(\frac{243}{2^5\cdot 3^5\cdot 5^4}\) terminate?
Explanation opens after your attempt
Correct Answer
B. (5)
Concept
Since \(243=3^5\), the reduced denominator is \(2^5\cdot 5^4\). The larger exponent is (5), so the decimal terminates after (5) places.
Why this answer is correct
The correct answer is B. (5). Since \(243=3^5\), the reduced denominator is \(2^5\cdot 5^4\). The larger exponent is (5), so the decimal terminates after (5) places.
Exam Tip
\(243=3^5\) कटने पर हर \(2^5\cdot 5^4\) बचेगा। बड़ी घात (5) है इसलिए दशमलव (5) स्थानों पर समाप्त होगा।
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