यदि \( \frac{p}{q} \) सरल रूप में है और \(q=2^7\), तो दशमलव प्रसार में अधिकतम कितने दशमलव स्थान होंगे?
If \( \frac{p}{q} \) is in simplest form and \(q=2^7\), what is the maximum number of decimal places in the terminating expansion?
Explanation opens after your attempt
C. (7)
Concept
To make \(2^7\) into \(10^7\), we multiply by \(5^7\). So there can be at most (7) decimal places.
Why this answer is correct
The correct answer is C. (7). To make \(2^7\) into \(10^7\), we multiply by \(5^7\). So there can be at most (7) decimal places.
Exam Tip
\(2^7\) को \(10^7\) बनाने के लिए \(5^7\) से गुणा करना पड़ेगा। इसलिए अधिकतम (7) दशमलव स्थान हो सकते हैं।
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