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Irrational Numbers

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat type of number is ( \sqrt{8} )?Class 9Number SystemsIrrational numbersLevel 16Easy MathematicsRiya claims that the sum of any two irrational numbers is always irrational. Which of the following examples proves her claim wrong?Class 9Number SystemsIrrational numbersLevel 16Easy MathematicsWhich number cannot be written in the form ( \frac{p}{q} )?Class 9Number SystemsIrrational numbersLevel 16Easy MathematicsWhich type of decimal expansion identifies an irrational number?Class 9Number SystemsIrrational numbersLevel 16Easy MathematicsA student writes the decimal number \(0.101001000100001\ldots\), in which the number of zeros between successive 1s is 1, 2, 3, 4, …. Which conclusion about this number is correct?Class 9Number SystemsDecimal representationLevel 12Expert MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because its decimal expansion contains only the digits 0 and 1. What is the correct correction to the student's statement?Class 9Number SystemsDecimal representationLevel 12Expert MathematicsThe decimal (6.03003000300003…) can represent which type of number?Class 9Number SystemsDecimal representationLevel 12Hard MathematicsA student calls the number \(0.101001000100001\ldots\) a rational number. Which is the correct evaluation of the student's statement?Class 9Number SystemsDecimal representationLevel 11Expert MathematicsA student claims that 0.1010010001… is a rational number because it uses only the digits 0 and 1. Which evaluation of the claim is correct?Class 9Number SystemsDecimal representationLevel 10Expert MathematicsThe decimal 3.04004000400004... can represent which type of number?Class 9Number SystemsDecimal representationLevel 10Medium MathematicsWhich type of decimal expansion represents an irrational number?Class 9Number SystemsDecimal representationLevel 10Expert MathematicsThe decimal 5.02002000200002... can represent which type of number?Class 9Number SystemsDecimal representationLevel 12Medium MathematicsA student says that \(0.272727\ldots\) is an irrational number because its decimal expansion does not end. Which statement is correct?Class 9Number SystemsDecimal representationLevel 12Hard MathematicsThe decimal (8.03003000300003…) can represent which type of number?Class 9Number SystemsDecimal representationLevel 11Medium MathematicsWhich option is definitely irrational?Class 9Number SystemsDecimal representationLevel 10Hard MathematicsThe decimal 9.04004000400004… can represent which type of number?Class 9Number SystemsDecimal representationLevel 10Hard MathematicsA student says that every non-terminating decimal represents an irrational number. Which of the following numbers proves the student’s statement wrong?Class 9Number SystemsDecimal representationLevel 12Medium MathematicsA student says that \(0.272727...\) is irrational because its digits do not end. Which is the correct analysis of the student's error?Class 9Number SystemsDecimal representationLevel 12Medium MathematicsA student says that \(0.101001000100001\ldots\) is a recurring decimal because 0 and 1 appear repeatedly in it. Which is the correct evaluation of the statement?Class 9Number SystemsDecimal representationLevel 12Medium MathematicsRavi says, “All non-terminating decimal expansions are irrational.” Which of the following examples disproves his statement?Class 9Number SystemsDecimal representationLevel 12Medium