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

MathematicsA student says, “\(\sqrt{3}=1.732\), so \(\sqrt{3}\) is rational.” What is the main error in the student's reasoning?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 21Easy MathematicsA student claims that \(\sqrt{3}=\frac{26}{15}\). Which of the following checks immediately proves that this claim is false?Class 9Number SystemsProof of irrationality of square root 2 and square root 3Level 20Easy MathematicsA student claims that \(5-\sqrt{7}\) is rational because 5 is rational and \(\sqrt{7}\) is a number. What is the error in the student's reasoning?Class 9Number SystemsIrrational numbersLevel 15Expert MathematicsA student says that \(\sqrt{12}-\sqrt{3}\) is the difference of two square roots, so it is a rational number. Which is the correct correction of the student's error?Class 9Number SystemsIrrational numbersLevel 15Hard MathematicsRiya says that \(\sqrt{45}+\sqrt{5}=\sqrt{50}\). Which is the correct evaluation of her statement?Class 9Number SystemsIrrational numbersLevel 13Hard MathematicsA student says that the decimal expansion of \(\frac{77}{480}\) will terminate because 480 is an even number. What is the student's error?Class 9Number SystemsDecimal representationLevel 12Expert MathematicsReema says that \(0.999\ldots\) is less than 1 because \(0.9, 0.99, 0.999\), and so on, are all less than 1. Which statement best explains the error in her reasoning?Class 9Number SystemsDecimal representationLevel 10Hard MathematicsRima writes that \(\frac{7}{12}=0.58\) and that it is a terminating decimal. Which correction to her error is correct?Class 9Number SystemsDecimal representationLevel 14Easy MathematicsTo mark \(\sqrt{10}\) on a number line, Riya drew a right-angled triangle with sides 3 units and 2 units and used its hypotenuse as the radius. What is the error in her work?Class 9Number SystemsNumber lineLevel 8Expert MathematicsOn a number line, Reema placed \(\sqrt{7}\) to the right of 2.7 because she claimed that \(2.7^2<7\). Which is the correct analysis of her reasoning?Class 9Number SystemsNumber lineLevel 7Expert MathematicsA student marks \(-3\) by moving three equal units to the right of 0 on a number line. How should the error be corrected?Class 9Number SystemsNumber lineLevel 10Easy MathematicsA student says that if the given denominator of a fraction has a prime factor other than 2 and 5, then its decimal expansion must be non-terminating. Which of the following fractions shows the error in this statement?Class 9Number SystemsReal NumbersLevel 1Hard MathematicsA student says, “\(\sqrt{18}\) is a rational number because 18 is an integer.” Which is the correct evaluation of this statement?Class 9Number SystemsReal NumbersLevel 1Medium MathematicsA student claims that \(\sqrt{2}+\sqrt{8}=\sqrt{10}\) because the numbers inside square roots can be added when adding square roots. Which is the correct evaluation of this claim?Class 9Number SystemsReal NumbersLevel 1Medium MathematicsA student says that \(0.272727\ldots\) is an irrational number because its decimal expansion does not terminate. Which evaluation of the statement is correct?Class 9Number SystemsReal NumbersLevel 5Easy