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Decimal Expansion

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich of the following numbers has a non-terminating, non-repeating decimal expansion?Class 9Number SystemsReal NumbersMedium MathematicsWhat type of decimal expansion does \(\frac{37}{54}\) have?Class 9Number SystemsReal NumbersMedium MathematicsA student says that if the denominator of a fraction in simplest form has a prime factor other than 2 and 5, its decimal expansion is non-terminating recurring. Which of the following fractions supports the student's statement?Class 9Number SystemsReal NumbersMedium MathematicsA student says that the decimal expansion of every irrational number is non-terminating and recurring. Why is this statement incorrect?Class 9Number SystemsReal NumbersMedium MathematicsWhich of the following numbers has a non-terminating, non-repeating decimal expansion and is therefore irrational?Class 9Number SystemsReal NumbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because its decimal expansion contains only the digits 0 and 1. Which statement correctly explains the student's error?Class 9Number SystemsReal NumbersMedium MathematicsRavi says that \(\frac{7}{24}\) is an irrational number because its decimal expansion is non-terminating. What is the error in Ravi's statement?Class 9Number SystemsReal NumbersMedium MathematicsA student considers the number \(0.101001000100001\ldots\) rational because its decimal expansion does not terminate. What is the correct conclusion about this number?Class 9Number SystemsReal NumbersMedium MathematicsA student calls the number \(0.101001000100001\ldots\) rational because it contains only the digits 0 and 1. Which conclusion about this number is correct?Class 9Number SystemsReal NumbersMedium MathematicsIf 0.2020020002... has no fixed repetition, what type of number is it?Class 9Number SystemsExponentsMedium MathematicsA student calls the number 0.101001000100001... rational because its decimal expansion is infinite. What should the correct conclusion be?Class 9Number SystemsReal NumbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. Which statement correctly explains the student's error?Class 9Number SystemsReal NumbersMedium MathematicsWhich statement is correct about the decimal expansion of \(\frac{3}{28}\)?Class 9Number SystemsDecimal representationMedium MathematicsA student classifies the number 0.101001000100001... as rational because it contains only the digits 0 and 1. Evaluate this claim correctly.Class 9Number SystemsReal NumbersMedium MathematicsWhich statement correctly describes the decimal expansion of irrational numbers?Class 9Number SystemsReal NumbersMedium MathematicsReema says that the decimal number 0.101001000100001... is rational because it uses only the digits 0 and 1. Which is the correct evaluation of her statement?Class 9Number SystemsReal NumbersMedium MathematicsWhich of the following numbers has a decimal expansion that is neither terminating nor recurring?Class 9Number SystemsReal NumbersMedium MathematicsA student classifies the number 0.101001000100001… as rational because it contains only the digits 0 and 1. Which is the correct evaluation of the student's conclusion?Class 9Number SystemsReal NumbersEasy MathematicsRahul says that \(0.375\) is irrational because it has a decimal point. Which statement correctly explains Rahul’s mistake?Class 9Number SystemsReal NumbersEasy MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because its decimal expansion is infinite. What is the error in the student's statement?Class 9Number SystemsReal NumbersEasy