Terminating and non-terminating recurring decimals are rational. All numbers in the first option are of these types.
Step 2
Why this answer is correct
The correct answer is A. (0.125), \(0.\overline{7}\), \(2.3434\ldots\). Terminating and non-terminating recurring decimals are rational. All numbers in the first option are of these types.
Step 3
Exam Tip
सांत और असांत आवर्ती दशमलव परिमेय होते हैं। पहले विकल्प में सभी संख्याएं इसी प्रकार की हैं।
C. \(1.7320508\ldots\) बिना निश्चित दोहराव/\(1.7320508\ldots\) without fixed repetition
Step 1
Concept
A non-terminating decimal without fixed repetition can be the form of an irrational number. Terminating and recurring decimals are rational.
Step 2
Why this answer is correct
The correct answer is C. \(1.7320508\ldots\) बिना निश्चित दोहराव / \(1.7320508\ldots\) without fixed repetition. A non-terminating decimal without fixed repetition can be the form of an irrational number. Terminating and recurring decimals are rational.
Step 3
Exam Tip
बिना निश्चित दोहराव वाला असांत दशमलव अपरिमेय संख्या का रूप हो सकता है। सांत और आवर्ती दशमलव परिमेय होते हैं।
\( \frac{1}{11}=0.0909\ldots \), which is slightly less than (0.091). Convert the fraction into decimal for comparison.
Step 2
Why this answer is correct
The correct answer is C. (0.091). \( \frac{1}{11}=0.0909\ldots \), which is slightly less than (0.091). Convert the fraction into decimal for comparison.
Step 3
Exam Tip
\( \frac{1}{11}=0.0909\ldots \), जो (0.091) से थोड़ा छोटा है। भिन्न को दशमलव में बदलकर तुलना करें।
