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Non Repeating Decimals

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

MathematicsIn the number \(0.101001000100001\ldots\), the number of zeros between two successive 1s increases by one each time. A student says that it is rational because it contains only the digits 0 and 1. Which is the correct evaluation of the student's argument?Class 9Number SystemsIrrational numbersLevel 15ExpertMathematicsA student calls the number 0.101001000100001… rational because it contains only the digits 0 and 1. Why is the student’s conclusion incorrect?Class 9Number SystemsIrrational numbersLevel 15ExpertMathematicsNidhi says that the number \(0.101001000100001\ldots\) is rational because its decimal expansion contains only 0 and 1. Which statement correctly explains Nidhi's error?Class 9Number SystemsIrrational numbersLevel 14ExpertMathematicsReema writes the number \(0.101001000100001\ldots\), in which the number of zeros between successive 1s keeps increasing. Which conclusion about this number is correct?Class 9Number SystemsIrrational numbersLevel 13ExpertMathematicsWhich of the following numbers, based on its decimal expansion, is irrational?Class 9Number SystemsIrrational numbersLevel 13ExpertMathematicsA student claims that the number 0.101001000100001... is rational because it contains only the digits 0 and 1. What is the correct evaluation of this claim?Class 9Number SystemsIrrational numbersLevel 14HardMathematicsA student says that the decimal number \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which statement correctly identifies the student's error?Class 9Number SystemsIrrational numbersLevel 15MediumMathematicsWhich of the following numbers has a decimal expansion that indicates it is an irrational number?Class 9Number SystemsIrrational numbersLevel 15MediumMathematicsA student claims that the number 0.101001000100001... is rational because it contains only the digits 0 and 1. Which statement correctly corrects the student's claim?Class 9Number SystemsIrrational numbersLevel 15MediumMathematicsA student says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which conclusion about this statement is correct?Class 9Number SystemsIrrational numbersLevel 15MediumMathematicsRiya says that the number \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1, and the number of zeros between successive 1s keeps increasing by one. What is the correct evaluation of Riya's statement?Class 9Number SystemsIrrational numbersLevel 15MediumMathematicsA 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 numbersLevel 15MediumMathematicsAman 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 numbersLevel 15MediumMathematicsA 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 numbersLevel 14MediumMathematicsA 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 numbersLevel 14MediumMathematicsA student calls the number \(0.101001000100001\ldots\) rational because its decimal expansion is infinite. Which conclusion is correct?Class 9Number SystemsIrrational numbersLevel 14MediumMathematicsA 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 numbersLevel 14MediumMathematicsA student says that \(0.101001000100001\ldots\) is rational because the digit 1 occurs repeatedly. Which conclusion is correct?Class 9Number SystemsIrrational numbersLevel 14MediumMathematicsA 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 the student's statement?Class 9Number SystemsIrrational numbersLevel 13MediumMathematicsReema says that the number \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. What is the correct evaluation of Reema’s statement?Class 9Number SystemsIrrational numbersLevel 13Medium