\(\frac{147}{2\cdot 3\cdot 5^4\cdot 7^2}\) का दशमलव प्रसार कैसा होगा?
What type of decimal expansion will \(\frac{147}{2\cdot 3\cdot 5^4\cdot 7^2}\) have?
Explanation opens after your attempt
Correct Answer
A. सांत और (4) स्थानों पर समाप्तTerminating after (4) places
Concept
Since \(147=3\cdot 7^2\), the reduced denominator is \(2\cdot 5^4\). The larger exponent is (4), so the decimal terminates after (4) places.
Why this answer is correct
The correct answer is A. सांत और (4) स्थानों पर समाप्त / Terminating after (4) places. Since \(147=3\cdot 7^2\), the reduced denominator is \(2\cdot 5^4\). The larger exponent is (4), so the decimal terminates after (4) places.
Exam Tip
\(147=3\cdot 7^2\) कटने पर हर \(2\cdot 5^4\) बचेगा। बड़ी घात (4) है इसलिए दशमलव (4) स्थानों पर समाप्त होगा।
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