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Irrational 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 \(0.101001000100001\ldots\) is a rational number because its decimal expansion is infinite. What is the error in the student's statement?Class 9Number SystemsReal NumbersLevel 6Easy MathematicsWhich decimal is a rational real number?Class 9Number SystemsDecimal representationLevel 6Easy MathematicsA student considers the number 0.101001000100001... to be rational because its decimal expansion consists of digits. Which is the correct evaluation of this conclusion?Class 9Number SystemsReal NumbersLevel 6Easy MathematicsWhich of the following numbers is irrational and lies between 1 and 2?Class 9Number SystemsIrrational numbersLevel 5Easy MathematicsWhat is the simplified form of \(\sqrt{50}-\sqrt{18}\)?Class 9Number SystemsIrrational numbersLevel 5Easy MathematicsA student considers the number 0.101001000100001… rational because it contains only the digits 0 and 1. What is the correct evaluation of this statement?Class 9Number SystemsReal NumbersLevel 5Easy MathematicsWhich option contains two numbers that are both rational real numbers?Class 9Number SystemsRational numbersLevel 5Easy MathematicsWhich option contains only irrational real numbers?Class 9Number SystemsReal NumbersLevel 5Easy MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because its decimal expansion is infinite. Is the student's statement correct or incorrect?Class 9Number SystemsReal NumbersLevel 5Easy MathematicsA square-shaped park has each side measuring 6 metres. What is the straight-line distance from one corner to the opposite corner?Class 9Number SystemsReal NumbersLevel 5Easy 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 MathematicsWhich of the following is an irrational real number?Class 9Number SystemsIrrational numbersLevel 5Easy MathematicsIf 0.1010010001... has no repeating pattern, what is it?Class 9Number SystemsIrrational numbersLevel 5Easy MathematicsWhich of the following statements correctly describes a property of irrational numbers?Class 9Number SystemsReal NumbersLevel 5Easy MathematicsWhich option contains a pair consisting of one rational and one irrational real number?Class 9Number SystemsIrrational numbersLevel 4Easy MathematicsWhich of \(\frac{3}{2}\) and \(\sqrt{2}\) is greater?Class 9Number SystemsIrrational numbersLevel 4Easy MathematicsIf the decimal number 1.414213... is non-terminating and non-repeating, what type of number is it?Class 9Number SystemsIrrational numbersLevel 4Easy MathematicsA non-terminating and non-repeating decimal is what type of number?Class 9Number SystemsReal NumbersLevel 4Easy MathematicsChoose the correct statement about \(\sqrt{7}\).Class 9Number SystemsIrrational numbersLevel 4Easy MathematicsWhich type of decimal is not a rational number?Class 9Number SystemsDecimal representationLevel 3Easy