Hard Mathematics Real Numbers Class 10 Level 20

\(\frac{55}{2\cdot 5^2\cdot 11^2}\) का दशमलव प्रसार कैसा होगा?

What type of decimal expansion will \(\frac{55}{2\cdot 5^2\cdot 11^2}\) have?

Explanation opens after your attempt
Correct Answer

B. असांत आवर्तीNon-terminating recurring

Step 1

Concept

\(55=5\cdot 11\).

Step 2

Why this answer is correct

After cancellation, the denominator becomes \(2\cdot 5\cdot 11\). Since (11) remains, the decimal is non-terminating recurring.

Step 3

Exam Tip

After partial cancellation, always check the remaining factors. चरण 1: \(55=5\cdot 11\) है। चरण 2: कटौती के बाद हर \(2\cdot 5\cdot 11\) बचेगा। (11) बचने के कारण दशमलव असांत आवर्ती होगा। चरण 3: आंशिक कटौती के बाद बचे हुए गुणनखंडों को जरूर जाँचें।

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Mathematics Answer, Explanation and Revision Hints

\(\frac{55}{2\cdot 5^2\cdot 11^2}\) का दशमलव प्रसार कैसा होगा? / What type of decimal expansion will \(\frac{55}{2\cdot 5^2\cdot 11^2}\) have?

Correct Answer: B. असांत आवर्ती / Non-terminating recurring. Explanation: चरण 1: \(55=5\cdot 11\) है। चरण 2: कटौती के बाद हर \(2\cdot 5\cdot 11\) बचेगा। (11) बचने के कारण दशमलव असांत आवर्ती होगा। चरण 3: आंशिक कटौती के बाद बचे हुए गुणनखंडों को जरूर जाँचें। / Step 1: \(55=5\cdot 11\). Step 2: After cancellation, the denominator becomes \(2\cdot 5\cdot 11\). Since (11) remains, the decimal is non-terminating recurring. Step 3: After partial cancellation, always check the remaining factors.

Which concept should I revise for this Mathematics MCQ?

\(55=5\cdot 11\).

What exam hint can help solve this Mathematics question?

After partial cancellation, always check the remaining factors. चरण 1: \(55=5\cdot 11\) है। चरण 2: कटौती के बाद हर \(2\cdot 5\cdot 11\) बचेगा। (11) बचने के कारण दशमलव असांत आवर्ती होगा। चरण 3: आंशिक कटौती के बाद बचे हुए गुणनखंडों को जरूर जाँचें।

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