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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।

MathematicsRiya claims that every non-terminating decimal is irrational. Which of the following examples proves her claim wrong?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsRiya says, “The sum of two irrational numbers is always irrational.” Which of the following examples proves her statement wrong?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsA student says that \(4+\sqrt{3}\) is rational because 4 is rational. What is the error in the student's conclusion?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhat is the irrational part in \((6-\sqrt{10})\)?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsWhich of the following statements about irrational numbers is always true?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsA student says that \(0.101001000100001\ldots\) is rational because the digit 1 occurs repeatedly. Which conclusion is correct?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsRavi said, “If the decimal expansion of a number is non-terminating, then it must be irrational.” What is the flaw in Ravi’s statement?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsA student says that the product of a non-zero rational number and an irrational number is always irrational. Which is the best reason why the statement is correct?Class 9Number SystemsIrrational numbersLevel 14Medium MathematicsRiya says, “Any number with an infinite decimal expansion must be irrational.” Which example proves Riya’s statement wrong?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsWhat is the sum of \((7+\sqrt{13})\) and \((7-\sqrt{13})\)?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsNikhil claims that every non-terminating decimal expansion is irrational. Which of the following numbers shows the error in his claim?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsA student says, “Every non-terminating decimal is irrational.” Which of the following examples proves the statement wrong?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsWhich option has a rational value?Class 9Number SystemsRational numbersLevel 13Medium MathematicsWhich option represents an irrational number?Class 9Number SystemsIrrational numbersLevel 13Medium MathematicsRiya claims that the sum of two irrational numbers is always irrational. Which example proves her claim wrong?Class 9Number SystemsIrrational numbersLevel 18Easy MathematicsReema says that \(0.333...\) is irrational because its decimal expansion is infinite. Which statement correctly explains Reema’s error?Class 9Number SystemsIrrational numbersLevel 18Easy MathematicsWhich of the following correctly describes the decimal expansion of an irrational number?Class 9Number SystemsIrrational numbersLevel 18Easy MathematicsWhat is √(16/25) equal to?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 18Easy MathematicsWhich statement is correct about (22/7)?Class 9Number SystemsRational numbersLevel 18Easy MathematicsWhich of these is an irrational number between 1 and 3?Class 9Number SystemsIrrational numbersLevel 18Easy