Class 9 Mathematics - Number Systems - Irrational numbers Expert Quiz

Level 11 • 3/50 questions • 25 seconds per question.

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(0.6471), \( \frac{11}{17} \), \(0.6470\overline{58}\) में सबसे बड़ी संख्या कौन-सी है?

Among (0.6471), \( \frac{11}{17} \), and \(0.6470\overline{58}\), which is the greatest number?

Explanation opens after your attempt
Correct Answer

B. (0.6471)

Step 1

Concept

\( \frac{11}{17}=0.647058\ldots \), which is less than (0.6471). View all numbers in decimal form for comparison.

Step 2

Why this answer is correct

The correct answer is B. (0.6471). \( \frac{11}{17}=0.647058\ldots \), which is less than (0.6471). View all numbers in decimal form for comparison.

Step 3

Exam Tip

\( \frac{11}{17}=0.647058\ldots \), जो (0.6471) से छोटा है। तुलना में सभी संख्याओं को दशमलव रूप में देखें।

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दशमलव \(4.06006000600006\ldots\) किस संख्या-प्रकार को दर्शा सकता है?

The decimal \(4.06006000600006\ldots\) 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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(0.703125), \( \frac{45}{64} \), \(0.703\overline{1}\) में सही संबंध कौन-सा है?

Which relation is correct among (0.703125), \( \frac{45}{64} \), and \(0.703\overline{1}\)?

Explanation opens after your attempt
Correct Answer

C. \(0.703\overline{1}<0.703125=\frac{45}{64}\)

Step 1

Concept

\( \frac{45}{64}=0.703125 \) and \(0.703\overline{1}=0.703111\ldots\). Therefore, (0.703125) is greater.

Step 2

Why this answer is correct

The correct answer is C. \(0.703\overline{1}<0.703125=\frac{45}{64}\). \( \frac{45}{64}=0.703125 \) and \(0.703\overline{1}=0.703111\ldots\). Therefore, (0.703125) is greater.

Step 3

Exam Tip

\( \frac{45}{64}=0.703125 \) और \(0.703\overline{1}=0.703111\ldots\) है। इसलिए (0.703125) बड़ा है।

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