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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।

MathematicsIf, in the simplest form of a rational number \(\frac{p}{q}\), the denominator \(q\) has 3 as one of its prime factors, what will be the nature of its decimal expansion?Class 9Number SystemsDecimal representationLevel 10MediumMathematicsReema says that if the denominator of a fraction has a prime factor other than 2 and 5, then its decimal expansion is terminating. Which example shows Reema’s error?Class 9Number SystemsDecimal representationLevel 10MediumMathematicsA student claims that every non-terminating decimal expansion is irrational. Which example proves the claim wrong?Class 9Number SystemsDecimal representationLevel 10MediumMathematicsWhich of the following fractions has a terminating decimal expansion when written in its lowest form?Class 9Number SystemsDecimal representationLevel 10MediumMathematicsIn simplest form, what type of decimal expansion will 21/125 have?Class 9Number SystemsDecimal representationLevel 10MediumMathematicsWhich number lies between (0.56) and (0.57)?Class 9Number SystemsDecimal representationLevel 10MediumMathematicsIn simplest form, what type of decimal expansion will 13/150 have?Class 9Number SystemsDecimal representationLevel 10MediumMathematicsRiya said, “0.125 is an irrational number because it has a decimal point.” Which is the correct correction of Riya’s statement?Class 9Number SystemsDecimal representationLevel 15EasyMathematicsWhich of the following fractions, in its lowest form, has a terminating decimal expansion?Class 9Number SystemsDecimal representationLevel 15EasyMathematicsA student claims that every terminating decimal is irrational. Which of the following examples proves the claim wrong?Class 9Number SystemsDecimal representationLevel 15EasyMathematicsA student says that the decimal expansion of \(\frac{7}{30}\) will terminate because 30 is an even number. Which is the correct analysis of the error?Class 9Number SystemsDecimal representationLevel 15EasyMathematicsWhat is the repeating part in (5.1333\ldots)?Class 9Number SystemsDecimal representationLevel 15EasyMathematicsWhat is the bar notation of (0.272727\ldots)?Class 9Number SystemsDecimal representationLevel 15EasyMathematicsIf the rational number \(\frac{p}{q}\) is in lowest terms, which property of \(q\) guarantees that its decimal expansion terminates?Class 9Number SystemsDecimal representationLevel 15EasyMathematicsRavi says that a decimal expansion in which digits repeat must be irrational. Which example proves his statement wrong?Class 9Number SystemsDecimal representationLevel 15EasyMathematicsWhich of the following fractions, in its lowest form, will have a non-terminating recurring decimal expansion?Class 9Number SystemsDecimal representationLevel 14EasyMathematicsA student says that if the denominator of a fraction in lowest form has a prime factor other than 2 and 5, its decimal expansion is non-terminating recurring. Which fraction is an example of this statement?Class 9Number SystemsDecimal representationLevel 14EasyMathematicsWhich decimal is not non-terminating recurring?Class 9Number SystemsDecimal representationLevel 14EasyMathematicsReena says, “Every non-terminating decimal is irrational.” Which of the following numbers disproves her statement?Class 9Number SystemsDecimal representationLevel 14EasyMathematicsReena says that every non-terminating decimal is an irrational number. Which of the following examples proves her statement wrong?Class 9Number SystemsDecimal representationLevel 14Easy