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

\(\frac{22}{7}\) का दशमलव विस्तार किस प्रकार का है?

What type of decimal expansion does \(\frac{22}{7}\) have?

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Correct Answer

B. असमाप्त आवर्तीNon-terminating recurring

Step 1

Concept

The fraction is in lowest form and the denominator is (7).

Step 2

Why this answer is correct

Since the denominator has a factor other than (2) or (5), the decimal is non-terminating recurring.

Step 3

Exam Tip

\(\frac{22}{7}\) is rational, so its non-terminating decimal must repeat. चरण 1: भिन्न सरल रूप में है और भाजक (7) है। चरण 2: भाजक में (2) या (5) के अलावा गुणनखंड है, इसलिए दशमलव असमाप्त आवर्ती होगा। चरण 3: \(\frac{22}{7}\) परिमेय है, इसलिए उसका असमाप्त दशमलव आवर्ती ही होगा।

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