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Question Easy Mathematics Real Numbers 7: Decimal expansion of rational numbers Class 10 Level 20

परिमेय संख्या \(-\frac{9}{28}\) का दशमलव विस्तार कैसा होगा?

What type of decimal expansion will the rational number \(-\frac{9}{28}\) have?

Explanation opens after your attempt
Correct Answer

B. असमाप्त आवर्तीNon-terminating recurring

Step 1

Concept

The negative sign does not change the type of decimal expansion.

Step 2

Why this answer is correct

\(28=2^2\times7\), so the factor (7) makes the decimal non-terminating recurring.

Step 3

Exam Tip

Check the denominator in lowest form, not the sign. चरण 1: ऋण चिह्न दशमलव के प्रकार को नहीं बदलता। चरण 2: \(28=2^2\times7\), इसलिए भाजक में (7) होने से दशमलव असमाप्त आवर्ती होगा। चरण 3: चिन्ह नहीं, सरल रूप का भाजक देखें।

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

परिमेय संख्या \(-\frac{17}{200}\) का दशमलव विस्तार कैसा होगा?

What type of decimal expansion will the rational number \(-\frac{17}{200}\) have?

Explanation opens after your attempt
Correct Answer

A. समाप्तTerminating

Step 1

Concept

The negative sign in \(-\frac{17}{200}\) only makes the value negative.

Step 2

Why this answer is correct

Since \(200=2^3\times5^2\), the denominator has only (2) and (5), so the decimal terminates.

Step 3

Exam Tip

To decide the decimal type, check the denominator in lowest form, not the negative sign. चरण 1: \(-\frac{17}{200}\) में ऋण चिह्न केवल मान को ऋणात्मक बनाता है। चरण 2: \(200=2^3\times5^2\) है, इसलिए भाजक में केवल (2) और (5) हैं और दशमलव समाप्त होगा। चरण 3: प्रकार तय करते समय ऋण चिह्न को नहीं, सरल रूप के भाजक को देखें।

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