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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।

MathematicsRavi says, “If the denominator of a fraction has 3 as a factor, its decimal expansion can never terminate.” Which of the following fractions proves Ravi’s statement wrong?Class 9Number SystemsDecimal representationLevel 11Expert MathematicsHow is (0.0969696\ldots) written in bar notation?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 MathematicsIf (x=0.000\overline{81}), what is its ordinary decimal form?Class 9Number SystemsDecimal representationLevel 11Expert MathematicsIf the rational number \(\frac{p}{q}\) is in lowest form and \(q>0\), when does its decimal expansion terminate?Class 9Number SystemsDecimal representationLevel 11Expert MathematicsWhich is the correct bar notation of (0.560909090\ldots)?Class 9Number SystemsDecimal representationLevel 11Expert MathematicsAfter simplifying (198/330), what type of decimal expansion will it have?Class 9Number SystemsDecimal representationLevel 11Medium 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 MathematicsWhich of the following fractions will have a terminating decimal expansion even though its given denominator has 3 as a factor?Class 9Number SystemsDecimal representationLevel 10Expert MathematicsHow is (0.0858585\ldots) written in bar notation?Class 9Number SystemsDecimal representationLevel 10Expert 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 MathematicsIf (x=0.000\overline{63}), what is its ordinary decimal form?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 MathematicsAfter simplifying 126/210, what type of decimal expansion will it have?Class 9Number SystemsDecimal representationLevel 10Medium MathematicsWhich of the following rational numbers will have a non-terminating recurring decimal expansion when written in its simplest form?Class 9Number SystemsDecimal representationLevel 12Hard MathematicsWhich of the following rational numbers gives a non-terminating recurring decimal expansion when written in its lowest form?Class 9Number SystemsDecimal representationLevel 12Hard MathematicsIf \(\frac{p}{q}\) is in lowest terms and \(q\) has a prime factor other than 2 and 5, what will be the nature of its decimal expansion?Class 9Number SystemsDecimal representationLevel 12Hard MathematicsThe decimal (6.24999\ldots) is equal to which terminating decimal?Class 9Number SystemsDecimal representationLevel 12Hard