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large-denominator MCQ Questions for Class 10

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3 questions tagged with large-denominator.

Question 1/3 Medium Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 19

\(\frac{17}{6250}\) का दशमलव प्रसार कितने स्थानों पर समाप्त होगा?

After how many decimal places will \(\frac{17}{6250}\) terminate?

Explanation opens after your attempt
Correct Answer

B. (5)

Step 1

Concept

\(6250=2\times5^5\).

Step 2

Why this answer is correct

The fraction is in lowest form, and the larger exponent is (5).

Step 3

Exam Tip

Exam tip: For denominators like (6250), identifying the power of (5) quickly gives the answer. चरण 1: \(6250=2\times5^5\) है। चरण 2: भिन्न सबसे सरल रूप में है और बड़ी घात (5) है। चरण 3: परीक्षा सुझाव: (6250) जैसे हर में (5) की घात पहचानने से उत्तर जल्दी मिल जाता है।

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Question 2/3 Medium Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 19

\(\frac{49}{2000}\) का दशमलव प्रसार कितने दशमलव स्थानों पर समाप्त होगा?

After how many decimal places will \(\frac{49}{2000}\) terminate?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

\(2000=2^4\times5^3\).

Step 2

Why this answer is correct

The larger exponent is (4), so the decimal terminates after (4) places.

Step 3

Exam Tip

Exam tip: Imagine converting the denominator to (10000); the number of places becomes clear. चरण 1: \(2000=2^4\times5^3\) है। चरण 2: बड़ी घात (4) है, इसलिए दशमलव (4) स्थानों पर समाप्त होगा। चरण 3: परीक्षा सुझाव: हर को (10000) बनाने की कल्पना करें, स्थानों की संख्या स्पष्ट हो जाएगी।

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Question 3/3 Easy Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 21

\(\frac{27}{1250}\) का दशमलव प्रसार कितने दशमलव स्थानों पर समाप्त होगा?

After how many decimal places will \(\frac{27}{1250}\) terminate?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

\(1250=2\times5^4\).

Step 2

Why this answer is correct

The larger exponent is (4), so the decimal ends after (4) places.

Step 3

Exam Tip

Exam tip: Even for a large denominator, prime powers quickly give the decimal-place count. चरण 1: \(1250=2\times5^4\) है। चरण 2: बड़ी घात (4) है, इसलिए दशमलव (4) स्थानों पर समाप्त होगा। चरण 3: परीक्षा सुझाव: हर बड़ा हो तो भी अभाज्य घातों से स्थान जल्दी मिल जाते हैं।

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