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Recurring Decimals

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

MathematicsWhich statement about 0.374̅9, 0.375, and 3/8 is correct?Class 9Number SystemsDecimal representationLevel 12Hard 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 MathematicsHow is (0.0747474\ldots) written in bar notation?Class 9Number SystemsDecimal representationLevel 12Expert MathematicsThe decimal (23.74999\ldots) is equal to which terminating decimal?Class 9Number SystemsDecimal representationLevel 12Expert MathematicsIf (x=0.000\overline{54}), what is its ordinary decimal form?Class 9Number SystemsDecimal representationLevel 12Expert MathematicsA student says that the decimal expansion of \(\frac{77}{480}\) will terminate because 480 is an even number. What is the student's error?Class 9Number SystemsDecimal representationLevel 12Expert MathematicsThe decimal (19.874999\ldots) is equal to which terminating decimal?Class 9Number SystemsDecimal representationLevel 12Expert MathematicsA 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 12Expert MathematicsWhich is the correct bar notation of (0.670808080\ldots)?Class 9Number SystemsDecimal representationLevel 12Expert MathematicsHow is (0.0969696\ldots) written in bar notation?Class 9Number SystemsDecimal representationLevel 11Expert MathematicsThe decimal (17.374999\ldots) is equal to which terminating decimal?Class 9Number SystemsDecimal representationLevel 11Expert MathematicsWhich of the following rational numbers will have a non-terminating recurring decimal expansion when written in simplest form?Class 9Number SystemsDecimal representationLevel 11Expert 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 MathematicsThe decimal (13.24999\ldots) is equal to which terminating decimal?Class 9Number SystemsDecimal representationLevel 11Expert MathematicsWhich is the correct bar notation of (0.560909090\ldots)?Class 9Number SystemsDecimal representationLevel 11Expert MathematicsFor a rational number \(\frac{p}{q}\), where \(p\) and \(q\) are coprime, when will its decimal expansion be non-terminating recurring?Class 9Number SystemsDecimal representationLevel 10Expert MathematicsWhich statement about 0.124̅9, 0.125, and 1/8 is correct?Class 9Number SystemsDecimal representationLevel 10Medium MathematicsHow is (0.0858585\ldots) written in bar notation?Class 9Number SystemsDecimal representationLevel 10Expert MathematicsThe decimal (11.624999\ldots) is equal to which terminating decimal?Class 9Number SystemsDecimal representationLevel 10Expert MathematicsWhich type of decimal expansion represents an irrational number?Class 9Number SystemsDecimal representationLevel 10Expert