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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 writes the number \(0.101001000100001\ldots\), in which the number of zeros before each successive 1 keeps increasing. Which statement about this number is correct?Class 9Number SystemsIrrational numbersMedium MathematicsAman called the decimal 0.101001000100001... a rational number because it contains only the digits 0 and 1. What is the error in Aman’s conclusion?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. What is the correct evaluation of this statement?Class 9Number SystemsIrrational numbersMedium MathematicsWhich statement correctly describes the decimal expansion of an irrational number?Class 9Number SystemsIrrational numbersMedium MathematicsRiya claims that every non-terminating decimal is irrational. Which of the following examples proves her claim wrong?Class 9Number SystemsIrrational numbersMedium MathematicsA student writes the number \(0.101001000100001\ldots\), in which the number of zeros between successive 1s keeps increasing. Which statement about this number is correct?Class 9Number SystemsIrrational numbersMedium MathematicsA student calls the number \(0.101001000100001\ldots\) rational because its decimal expansion is infinite. Which conclusion is correct?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which is the correct evaluation of this statement?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. What is the correct correction to the student’s error?Class 9Number SystemsIrrational numbersMedium MathematicsReema says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which is the correct evaluation of her statement?Class 9Number SystemsIrrational numbersMedium MathematicsWhich option is an example of an irrational number?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is rational because the digit 1 occurs repeatedly. Which conclusion is correct?Class 9Number SystemsIrrational numbersMedium 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 numbersMedium MathematicsRiya says, “Any number with an infinite decimal expansion must be irrational.” Which example proves Riya’s statement wrong?Class 9Number SystemsIrrational numbersMedium MathematicsRiya claims that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which statement correctly explains Riya’s error?Class 9Number SystemsIrrational numbersMedium MathematicsRavi claims that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. What is the correct evaluation of his claim?Class 9Number SystemsIrrational numbersMedium MathematicsA student calls the number \(0.101001000100001\ldots\) rational because it contains only the digits 0 and 1. What is the correct conclusion?Class 9Number SystemsIrrational numbersMedium MathematicsNikhil claims that every non-terminating decimal expansion is irrational. Which of the following numbers shows the error in his claim?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. What is the correct conclusion?Class 9Number SystemsIrrational numbersMedium MathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. What is the student's error?Class 9Number SystemsIrrational numbersMedium