Expert Mathematics Real Numbers Class 10 Level 21

\(\frac{1}{2^7\cdot 5^3\cdot 41}\) के दशमलव में आवर्ती भाग से पहले कितने अनावर्ती अंक होंगे?

In the decimal expansion of \(\frac{1}{2^7\cdot 5^3\cdot 41}\), how many non-repeating digits appear before the recurring part?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

The factor (41) makes the decimal recurring, and the larger exponent of (2) and (5) is (7), giving the non-repeating start. In mixed denominators, the larger exponent gives the delay.

Step 2

Why this answer is correct

The correct answer is C. (7). The factor (41) makes the decimal recurring, and the larger exponent of (2) and (5) is (7), giving the non-repeating start. In mixed denominators, the larger exponent gives the delay.

Step 3

Exam Tip

(41) के कारण दशमलव आवर्ती होगा और (2), (5) की बड़ी घात (7) अनावर्ती आरंभ देगी। मिश्रित हर में बड़ी घात से देरी मिलती है।

FAQs

Mathematics Answer, Explanation and Revision Hints

\(\frac{1}{2^7\cdot 5^3\cdot 41}\) के दशमलव में आवर्ती भाग से पहले कितने अनावर्ती अंक होंगे? / In the decimal expansion of \(\frac{1}{2^7\cdot 5^3\cdot 41}\), how many non-repeating digits appear before the recurring part?

Correct Answer: C. (7). Explanation: (41) के कारण दशमलव आवर्ती होगा और (2), (5) की बड़ी घात (7) अनावर्ती आरंभ देगी। मिश्रित हर में बड़ी घात से देरी मिलती है। / The factor (41) makes the decimal recurring, and the larger exponent of (2) and (5) is (7), giving the non-repeating start. In mixed denominators, the larger exponent gives the delay.

Which concept should I revise for this Mathematics MCQ?

The factor (41) makes the decimal recurring, and the larger exponent of (2) and (5) is (7), giving the non-repeating start. In mixed denominators, the larger exponent gives the delay.

What exam hint can help solve this Mathematics question?

(41) के कारण दशमलव आवर्ती होगा और (2), (5) की बड़ी घात (7) अनावर्ती आरंभ देगी। मिश्रित हर में बड़ी घात से देरी मिलती है।

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