Class 9 Mathematics - Number Systems - Irrational numbers Expert Quiz

Level 10 • 3/50 questions • 25 seconds per question.

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(0.7648), \( \frac{13}{17} \), \(0.7647\overline{05}\) में सबसे बड़ी संख्या कौन-सी है?

Among (0.7648), \( \frac{13}{17} \), and \(0.7647\overline{05}\), which is the greatest number?

Explanation opens after your attempt
Correct Answer

B. (0.7648)

Step 1

Concept

\( \frac{13}{17}=0.764705\ldots \), which is less than (0.7648). View all numbers in decimal form for comparison.

Step 2

Why this answer is correct

The correct answer is B. (0.7648). \( \frac{13}{17}=0.764705\ldots \), which is less than (0.7648). View all numbers in decimal form for comparison.

Step 3

Exam Tip

\( \frac{13}{17}=0.764705\ldots \), जो (0.7648) से छोटा है। तुलना में सभी संख्याओं को दशमलव रूप में देखें।

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दशमलव \(3.04004000400004\ldots\) किस संख्या-प्रकार को दर्शा सकता है?

The decimal \(3.04004000400004\ldots\) can represent which type of number?

Explanation opens after your attempt
Correct Answer

C. अपरिमेयIrrational

Step 1

Concept

It is non-terminating and has no fixed repetition. Such a decimal can be the form of an irrational number.

Step 2

Why this answer is correct

The correct answer is C. अपरिमेय / Irrational. It is non-terminating and has no fixed repetition. Such a decimal can be the form of an irrational number.

Step 3

Exam Tip

यह असांत है और इसमें निश्चित दोहराव नहीं है। ऐसा दशमलव अपरिमेय संख्या का रूप हो सकता है।

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(0.421875), \( \frac{27}{64} \), \(0.421\overline{8}\) में सही संबंध कौन-सा है?

Which relation is correct among (0.421875), \( \frac{27}{64} \), and \(0.421\overline{8}\)?

Explanation opens after your attempt
Correct Answer

C. \(0.421\overline{8}<0.421875=\frac{27}{64}\)

Step 1

Concept

\( \frac{27}{64}=0.421875 \) and \(0.421\overline{8}=0.421888\ldots\). Therefore, the recurring number is greater.

Step 2

Why this answer is correct

The correct answer is C. \(0.421\overline{8}<0.421875=\frac{27}{64}\). \( \frac{27}{64}=0.421875 \) and \(0.421\overline{8}=0.421888\ldots\). Therefore, the recurring number is greater.

Step 3

Exam Tip

\( \frac{27}{64}=0.421875 \) और \(0.421\overline{8}=0.421888\ldots\) है। इसलिए आवर्ती संख्या बड़ी है।

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FAQs

Class 9 Mathematics Quiz FAQs

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