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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 is the correct bar notation of (0.250606060\ldots)?Class 9Number SystemsDecimal representationHard MathematicsWhich statement about 0.6, 0.59̅, and 3/5 is correct?Class 9Number SystemsDecimal representationMedium MathematicsReema says that \(0.999\ldots\) is less than 1 because \(0.9, 0.99, 0.999\), and so on, are all less than 1. Which statement best explains the error in her reasoning?Class 9Number SystemsDecimal representationHard MathematicsWhich is the correct bar notation of (0.120303030\ldots)?Class 9Number SystemsDecimal representationHard 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 representationMedium 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 representationMedium MathematicsAfter simplifying 28/98, what type of decimal expansion will it have?Class 9Number SystemsDecimal representationMedium MathematicsRima says that the decimal expansion of \(\frac{13}{30}\) will terminate because 30 has both 2 and 5 as factors. What is the error in Rima’s statement?Class 9Number SystemsDecimal representationMedium 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 representationMedium MathematicsIn which option are all numbers rational?Class 9Number SystemsDecimal representationMedium MathematicsA student claims that the decimal expansion of every rational number terminates. Which of the following numbers is a counterexample to this claim?Class 9Number SystemsDecimal representationMedium MathematicsWhich of the following rational numbers, written in simplest form, will have a non-terminating recurring decimal expansion?Class 9Number SystemsDecimal representationMedium MathematicsWhat is the recurring part of 5.1020202...?Class 9Number SystemsDecimal representationMedium MathematicsWhich is the correct bar notation of (0.006006006\ldots)?Class 9Number SystemsDecimal representationMedium MathematicsHow is (0.312312312\ldots) written in bar notation?Class 9Number SystemsDecimal representationMedium MathematicsWhat is the recurring part of (2.909090\ldots)?Class 9Number SystemsDecimal representationMedium MathematicsA student says that \(0.272727\ldots\) is irrational because its decimal expansion does not terminate. Which is the correct correction to this statement?Class 9Number SystemsDecimal representationMedium MathematicsWhich statement about (0.0909\ldots) and (0.09) is correct?Class 9Number SystemsDecimal representationMedium MathematicsWhich is the correct bar notation of (0.036036036\ldots)?Class 9Number SystemsDecimal representationMedium MathematicsA student says, “If the denominator of a fraction has 3 as a factor, its decimal expansion is always non-terminating recurring.” Which fraction disproves this statement?Class 9Number SystemsDecimal representationMedium