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Decimal Expansion

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

MathematicsA student claims that every number with a non-terminating decimal expansion is irrational. Which of the following examples disproves the claim?Class 9Number SystemsIrrational numbersEasy MathematicsMeena says that every non-terminating decimal is irrational. Which example proves her statement wrong?Class 9Number SystemsIrrational numbersEasy MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because its decimal expansion never terminates. Which statement correctly identifies the student's error?Class 9Number SystemsIrrational numbersEasy MathematicsA student claims that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. What is the correct correction?Class 9Number SystemsIrrational numbersEasy MathematicsRiya says that \(0.101001000100001\ldots\) is a rational number because its decimal expansion does not terminate. Which is the correct evaluation of Riya’s statement?Class 9Number SystemsIrrational numbersEasy MathematicsReema says, “A number with an infinite decimal expansion is always irrational.” Which example shows the error in her statement?Class 9Number SystemsIrrational numbersEasy MathematicsWhich of these has a non-terminating and non-repeating decimal expansion?Class 9Number SystemsIrrational numbersEasy MathematicsWhich property does the decimal expansion of an irrational number have?Class 9Number SystemsIrrational numbersEasy MathematicsWhich number is called an irrational number?Class 9Number SystemsIrrational numbersEasy MathematicsWhat will be the decimal expansion of ( \sqrt{3} )?Class 9Number SystemsIrrational numbersEasy MathematicsWhich of the following decimal expansions identifies an irrational number?Class 9Number SystemsIrrational numbersEasy MathematicsWhich of the following properties is true for every irrational number?Class 9Number SystemsIrrational numbersEasy MathematicsWhich number will have a non-terminating non-recurring decimal expansion?Class 9Number SystemsIrrational numbersEasy MathematicsA student says that every non-terminating decimal is irrational. Which of the following examples proves the statement wrong?Class 9Number SystemsIrrational numbersEasy MathematicsWhich is the correct characteristic of the decimal expansion of an irrational number?Class 9Number SystemsIrrational numbersEasy MathematicsWhich number will have a non-terminating non-recurring decimal?Class 9Number SystemsIrrational numbersEasy MathematicsSonam says that the number 0.101001000100001... is rational because it contains only the digits 0 and 1. Which response is correct?Class 9Number SystemsIrrational numbersEasy MathematicsWhich type of decimal expansion identifies an irrational number?Class 9Number SystemsIrrational numbersEasy MathematicsIf (x=0.000\overline{54}), what is its ordinary decimal form?Class 9Number SystemsDecimal representationExpert MathematicsA student claims that 0.1010010001… is a rational number because it uses only the digits 0 and 1. Which evaluation of the claim is correct?Class 9Number SystemsDecimal representationExpert