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

\(\frac{143}{550}\) के दशमलव प्रसार के लिए सही निर्णय चुनिए।

Choose the correct decision for the decimal expansion of \(\frac{143}{550}\).

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Correct Answer

B. यह असमाप्त आवर्ती होगाIt will be non-terminating recurring

Step 1

Concept

\(\frac{143}{550}\) simplifies by (11) to \(\frac{13}{50}\).

Step 2

Why this answer is correct

Since \(50=2\times5^2\), the decimal terminates.

Step 3

Exam Tip

Exam tip: This calculation shows that the correct decision is terminating decimal. चरण 1: \(\frac{143}{550}\) को (11) से सरल करने पर \(\frac{13}{50}\) नहीं बल्कि \(\frac{13}{50}\) मिलता है। चरण 2: \(50=2\times5^2\), इसलिए दशमलव समाप्त होगा। चरण 3: परीक्षा सुझाव: इस गणना से पता चलता है कि सही निर्णय समाप्त दशमलव है।

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