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

सरल भिन्न के हर \(5^3\) होने पर दशमलव प्रसार कितने स्थानों तक समाप्त होगा?

If the denominator of a fraction in lowest form is \(5^3\), after how many decimal places will the decimal expansion terminate?

Explanation opens after your attempt
Correct Answer

C. (3)

Step 1

Concept

\(5^3=125\).

Step 2

Why this answer is correct

To make (125) into (1000), multiply by (8), so there are (3) decimal places.

Step 3

Exam Tip

Exam tip: A \(5^n\) denominator usually gives (n) decimal places. चरण 1: \(5^3=125\) है। चरण 2: (125) को (1000) बनाने के लिए (8) से गुणा करते हैं, इसलिए (3) दशमलव स्थान होंगे। चरण 3: परीक्षा सुझाव: \(5^n\) वाले हर में प्रायः (n) स्थान मिलते हैं।

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