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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।

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 representationLevel 12MediumMathematicsA 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 representationLevel 12MediumMathematicsRima 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 representationLevel 12MediumMathematicsIf (x=0.409) and (y=0.49), which relation is correct?Class 9Number SystemsDecimal representationLevel 12MediumMathematicsA 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 representationLevel 12MediumMathematicsWhich of the following rational numbers, written in simplest form, will have a non-terminating recurring decimal expansion?Class 9Number SystemsDecimal representationLevel 12MediumMathematicsWhich is the correct bar notation of (0.006006006\ldots)?Class 9Number SystemsDecimal representationLevel 12MediumMathematicsRavi says, “All non-terminating decimal expansions are irrational.” Which of the following examples disproves his statement?Class 9Number SystemsDecimal representationLevel 12MediumMathematicsRiya says that the decimal expansion of \(\frac{13}{40}\) is non-terminating because 40 is not a power of 10. What is Riya's error?Class 9Number SystemsDecimal representationLevel 12MediumMathematicsWhen does a fraction \(\frac{p}{q}\) in lowest terms have a terminating decimal expansion?Class 9Number SystemsDecimal representationLevel 12MediumMathematicsWhat is the decimal form of 17/200?Class 9Number SystemsDecimal representationLevel 12MediumMathematicsHow is (0.312312312\ldots) written in bar notation?Class 9Number SystemsDecimal representationLevel 11MediumMathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. Which evaluation of this statement is correct?Class 9Number SystemsDecimal representationLevel 11MediumMathematicsA 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 representationLevel 11MediumMathematicsWhich statement about (0.0909\ldots) and (0.09) is correct?Class 9Number SystemsDecimal representationLevel 11MediumMathematicsWhich is the correct bar notation of (0.036036036\ldots)?Class 9Number SystemsDecimal representationLevel 11MediumMathematicsA 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 representationLevel 11MediumMathematicsA student says that every non-terminating decimal expansion is irrational. Which example disproves the statement?Class 9Number SystemsDecimal representationLevel 11MediumMathematicsWhich condition ensures that the decimal expansion of a rational number is terminating when the fraction is in lowest terms?Class 9Number SystemsDecimal representationLevel 11MediumMathematicsIn simplest form, what type of decimal expansion will 17/120 have?Class 9Number SystemsDecimal representationLevel 11Medium