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Statement Evaluation

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

MathematicsRiya makes two statements about irrational numbers: Statement I: The sum of two irrational numbers is always irrational. Statement II: The product of a non-zero rational number and an irrational number is always irrational. Which option is correct?Class 9Number SystemsIrrational numbersEasy MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because its decimal expansion contains only the digits 0 and 1. What is the correct correction to the student's statement?Class 9Number SystemsDecimal representationExpert MathematicsRavi says, “All non-terminating decimal expansions are irrational.” Which of the following examples disproves his statement?Class 9Number SystemsDecimal representationMedium MathematicsA student says that every non-terminating decimal expansion is irrational. Which example disproves the statement?Class 9Number SystemsDecimal representationMedium MathematicsA student claims that the sum of two irrational numbers is always irrational. Which of the following examples disproves this statement?Class 9Number SystemsReal NumbersMedium MathematicsA student says that every integer is a rational number. Why is this statement correct?Class 9Number SystemsReal NumbersEasy