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divisor-of-power-of-10 MCQ Questions for Class 10

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1 questions tagged with divisor-of-power-of-10.

Question 1/1 Hard Mathematics Real Numbers Decimal expansion of rational numbers Class 10 Level 21

यदि (q) \(10^5\) का भाजक है और \(\frac{p}{q}\) सरलतम रूप में है, तो दशमलव प्रसार के बारे में कौन-सा निष्कर्ष निश्चित है?

If (q) is a divisor of \(10^5\) and \(\frac{p}{q}\) is in lowest form, which conclusion about the decimal expansion is certain?

Explanation opens after your attempt
Correct Answer

A. दशमलव सांत होगाThe decimal will terminate

Step 1

Concept

\(10^5=2^5\cdot 5^5\).

Step 2

Why this answer is correct

Any divisor of it contains only powers of (2) and (5). Therefore \(\frac{p}{q}\) has a terminating decimal.

Step 3

Exam Tip

Being a divisor gives at most (5) places, not necessarily exactly (5). चरण 1: \(10^5=2^5\cdot 5^5\) है। चरण 2: इसका कोई भी भाजक केवल (2) और (5) की घातों से बनेगा। इसलिए \(\frac{p}{q}\) का दशमलव सांत होगा। चरण 3: भाजक होने से अधिकतम (5) स्थान तय हो सकते हैं, ठीक (5) नहीं।

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