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Rational 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 the decimal 0.333…?Class 9Number SystemsIrrational numbersLevel 17EasyMathematicsRiya says that the sum of two irrational numbers is always irrational. Which of the following examples proves her statement wrong?Class 9Number SystemsIrrational numbersLevel 17EasyMathematicsWhich number is called an irrational number?Class 9Number SystemsIrrational numbersLevel 17EasyMathematicsA student says that \(0.272727\ldots\) is irrational because its decimal expansion does not end. Which correction is correct?Class 9Number SystemsIrrational numbersLevel 16EasyMathematicsRavi says that \(\sqrt{49}\) is irrational because it has a square-root sign. Which statement correctly explains his error?Class 9Number SystemsIrrational numbersLevel 16EasyMathematicsWhich of the following decimal expansions identifies an irrational number?Class 9Number SystemsIrrational numbersLevel 16EasyMathematicsWhat is the correct classification of √0.09?Class 9Number SystemsIrrational numbersLevel 16EasyMathematicsWhich decimal is rational?Class 9Number SystemsDecimal representationLevel 16EasyMathematicsWhich of the following properties is true for every irrational number?Class 9Number SystemsIrrational numbersLevel 16EasyMathematicsA student says that every non-terminating decimal is irrational. Which of the following examples proves the statement wrong?Class 9Number SystemsIrrational numbersLevel 16EasyMathematicsWhich is the correct characteristic of the decimal expansion of an irrational number?Class 9Number SystemsIrrational numbersLevel 16EasyMathematicsRiya 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 16EasyMathematicsWhich of the following rational numbers will have a terminating decimal expansion when written in its simplest form?Class 9Number SystemsDecimal representationLevel 12ExpertMathematicsWhich is the correct bar notation of (0.000919191\ldots)?Class 9Number SystemsDecimal representationLevel 12ExpertMathematicsA 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 12ExpertMathematicsHow is (0.0747474\ldots) written in bar notation?Class 9Number SystemsDecimal representationLevel 12ExpertMathematicsWhat is the ascending order of (5.005), (5.0505), (5.0055), and (5.500)?Class 9Number SystemsDecimal representationLevel 12ExpertMathematicsA student claims that \(0.999\ldots\) is less than \(1\) because all its finite decimal forms, such as \(0.9\) and \(0.99\), are less than \(1\). Which is the correct evaluation of this claim?Class 9Number SystemsDecimal representationLevel 12ExpertMathematicsWhich is the correct bar notation of (0.670808080\ldots)?Class 9Number SystemsDecimal representationLevel 12ExpertMathematicsIf a rational number \(\frac{p}{q}\) is in lowest terms, which condition is necessary and sufficient for its decimal expansion to terminate?Class 9Number SystemsDecimal representationLevel 11Expert