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।
C. \(0.20200200020000\ldots\) बिना निश्चित दोहराव/\(0.20200200020000\ldots\) without fixed repetition
Step 1
Concept
A non-terminating decimal without fixed repetition is irrational. Terminating and recurring decimals are rational.
Step 2
Why this answer is correct
The correct answer is C. \(0.20200200020000\ldots\) बिना निश्चित दोहराव / \(0.20200200020000\ldots\) without fixed repetition. A non-terminating decimal without fixed repetition is irrational. Terminating and recurring decimals are rational.
Step 3
Exam Tip
बिना निश्चित दोहराव वाला असांत दशमलव अपरिमेय होता है। सांत और आवर्ती दशमलव परिमेय होते हैं।
\( \frac{1}{15}=0.0666\ldots=0.06\overline{6} \), which is greater than (0.0625). Convert the fraction into decimal for comparison.
Step 2
Why this answer is correct
The correct answer is A. \(0.0625<\frac{1}{15}=0.06\overline{6}\). \( \frac{1}{15}=0.0666\ldots=0.06\overline{6} \), which is greater than (0.0625). Convert the fraction into decimal for comparison.
Step 3
Exam Tip
\( \frac{1}{15}=0.0666\ldots=0.06\overline{6} \), जो (0.0625) से बड़ा है। तुलना के लिए भिन्न को दशमलव में बदलें।