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

\(\frac{39}{520}\) का दशमलव प्रसार कितने दशमलव स्थानों पर समाप्त होगा?

After how many decimal places will the decimal expansion of \(\frac{39}{520}\) terminate?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

\(\frac{39}{520}\) simplifies by (13) to \(\frac{3}{40}\).

Step 2

Why this answer is correct

Since \(40=2^3\times5\), the larger exponent is (3).

Step 3

Exam Tip

Exam tip: Simplifying first gives the correct number of decimal places. चरण 1: \(\frac{39}{520}\) को (13) से सरल करने पर \(\frac{3}{40}\) मिलता है। चरण 2: \(40=2^3\times5\), इसलिए बड़ी घात (3) है। चरण 3: परीक्षा सुझाव: पहले सरल करने से दशमलव स्थानों की सही संख्या मिलती है।

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