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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।

MathematicsWhich of the following numbers has a non-terminating, non-repeating decimal expansion and is therefore irrational?Class 9Number SystemsReal NumbersLevel 3Medium MathematicsWhich of the following statements about decimal expansions is correct?Class 9Number SystemsReal NumbersLevel 3Medium 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 NumbersLevel 3Medium 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 NumbersLevel 2Medium 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 NumbersLevel 2Medium MathematicsWhat type of decimal is 29/200?Class 9Number SystemsDecimal representationLevel 2Medium MathematicsWhat is the correct statement about the decimal form of 8/13?Class 9Number SystemsDecimal representationLevel 3Medium MathematicsWhat type of real number is the decimal \(3.454545\ldots\)?Class 9Number SystemsRational numbersLevel 2Medium MathematicsWhat type of number is \(\sqrt{5}\times\sqrt{20}\)?Class 9Number SystemsReal NumbersLevel 1Medium MathematicsWhat type of decimal expansion does \(\frac{17}{125}\) have?Class 9Number SystemsDecimal representationLevel 1Medium MathematicsWhich statement is correct about the decimal expansion of \(\frac{3}{28}\)?Class 9Number SystemsDecimal representationLevel 1Medium MathematicsA square has a side of \(\sqrt{2}\) cm. Which statement about its diagonal and perimeter is correct?Class 9Number SystemsReal NumbersLevel 1Medium MathematicsWhat type of real number is the decimal \(1.232323\ldots\)?Class 9Number SystemsRational numbersLevel 1Medium MathematicsWhich option is incorrect?Class 9Number SystemsReal NumbersLevel 1Medium MathematicsA student claims that the product of any two irrational numbers is always irrational. Which pair of numbers disproves this claim?Class 9Number SystemsReal NumbersLevel 1Medium 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 NumbersLevel 1Medium MathematicsA student claims that the sum of two irrational numbers is always irrational. Which of the following examples disproves this statement?Class 9Number SystemsReal NumbersLevel 1Medium MathematicsA student claims that the sum of two irrational numbers is always irrational. Which of the following examples disproves this claim?Class 9Number SystemsReal NumbersLevel 1Medium MathematicsWhich of the following statements correctly describes the decimal expansion of irrational numbers?Class 9Number SystemsReal NumbersLevel 1Medium 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 NumbersLevel 1Medium