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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।

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 representationExpert MathematicsHow is (0.0747474\ldots) written in bar notation?Class 9Number SystemsDecimal representationExpert MathematicsThe decimal (23.74999\ldots) is equal to which terminating decimal?Class 9Number SystemsDecimal representationExpert MathematicsIf (x=0.000\overline{54}), what is its ordinary decimal form?Class 9Number SystemsDecimal representationExpert 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 representationExpert MathematicsThe decimal (19.874999\ldots) is equal to which terminating decimal?Class 9Number SystemsDecimal representationExpert 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 representationExpert MathematicsWhich is the correct bar notation of (0.670808080\ldots)?Class 9Number SystemsDecimal representationExpert MathematicsHow is (0.0969696\ldots) written in bar notation?Class 9Number SystemsDecimal representationExpert MathematicsThe decimal (17.374999\ldots) is equal to which terminating decimal?Class 9Number SystemsDecimal representationExpert MathematicsWhich of the following rational numbers will have a non-terminating recurring decimal expansion when written in simplest form?Class 9Number SystemsDecimal representationExpert MathematicsA student calls the number \(0.101001000100001\ldots\) a rational number. Which is the correct evaluation of the student's statement?Class 9Number SystemsDecimal representationExpert MathematicsThe decimal (13.24999\ldots) is equal to which terminating decimal?Class 9Number SystemsDecimal representationExpert MathematicsWhich is the correct bar notation of (0.560909090\ldots)?Class 9Number SystemsDecimal representationExpert 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 representationExpert MathematicsWhich statement about 0.124̅9, 0.125, and 1/8 is correct?Class 9Number SystemsDecimal representationMedium MathematicsHow is (0.0858585\ldots) written in bar notation?Class 9Number SystemsDecimal representationExpert MathematicsThe decimal (11.624999\ldots) is equal to which terminating decimal?Class 9Number SystemsDecimal representationExpert MathematicsWhich type of decimal expansion represents an irrational number?Class 9Number SystemsDecimal representationExpert MathematicsThe decimal (8.03999\ldots) is equal to which terminating decimal?Class 9Number SystemsDecimal representationExpert