यदि \(\frac{p}{q}\) सरलतम रूप में है और \(q=2^m5^n\cdot 11^r\) जहाँ (r>0) है तो दशमलव प्रसार कैसा होगा?

If \(\frac{p}{q}\) is in lowest form and \(q=2^m5^n\cdot 11^r\), where (r>0), what type of decimal expansion will it have?

Explanation opens after your attempt
Correct Answer

B. असांत आवर्तीNon-terminating recurring

Step 1

Concept

A positive power of (11) remains in the reduced denominator. Therefore the rational number has a non-terminating recurring decimal.

Step 2

Why this answer is correct

The correct answer is B. असांत आवर्ती / Non-terminating recurring. A positive power of (11) remains in the reduced denominator. Therefore the rational number has a non-terminating recurring decimal.

Step 3

Exam Tip

सरलतम हर में (11) की धनात्मक घात बची है। इसलिए परिमेय संख्या का दशमलव असांत आवर्ती होगा।

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यदि \(\frac{p}{q}\) सरलतम रूप में है और \(q=2^m5^n\cdot 11^r\) जहाँ (r>0) है तो दशमलव प्रसार कैसा होगा? / If \(\frac{p}{q}\) is in lowest form and \(q=2^m5^n\cdot 11^r\), where (r>0), what type of decimal expansion will it have?

Correct Answer: B. असांत आवर्ती / Non-terminating recurring. Explanation: सरलतम हर में (11) की धनात्मक घात बची है। इसलिए परिमेय संख्या का दशमलव असांत आवर्ती होगा। / A positive power of (11) remains in the reduced denominator. Therefore the rational number has a non-terminating recurring decimal.

Which concept should I revise for this Mathematics MCQ?

A positive power of (11) remains in the reduced denominator. Therefore the rational number has a non-terminating recurring decimal.

What exam hint can help solve this Mathematics question?

सरलतम हर में (11) की धनात्मक घात बची है। इसलिए परिमेय संख्या का दशमलव असांत आवर्ती होगा।