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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।

MathematicsWhat is the place value of (6) in (18.07006)?Class 9Number SystemsDecimal representationLevel 12Hard MathematicsWhat is the place value of (4) in (7.005400)?Class 9Number SystemsDecimal representationLevel 10Hard MathematicsWhat is the place value of (4) in (7.5408)?Class 9Number SystemsDecimal representationLevel 10Medium MathematicsA student says that the decimal expansion of \(\frac{7}{30}\) will terminate because 30 is an even number. Which is the correct analysis of the error?Class 9Number SystemsDecimal representationLevel 15Easy MathematicsWhich of the following numbers lies between 1 and 2 on the number line and has a non-terminating, non-repeating decimal expansion?Class 9Number SystemsNumber lineLevel 9Medium MathematicsWhich fraction has a non-terminating recurring decimal?Class 9Number SystemsDecimal representationLevel 3Expert MathematicsWhich of the following decimal expansions represents an irrational number?Class 9Number SystemsReal NumbersLevel 2Expert MathematicsWhich number has a non-terminating non-recurring decimal?Class 9Number SystemsIrrational numbersLevel 2Expert MathematicsWhat type of decimal expansion does (\frac{11}{125}) have?Class 9Number SystemsDecimal representationLevel 2Expert MathematicsWhich decimal expansion is non-terminating recurring?Class 9Number SystemsDecimal representationLevel 2Expert MathematicsWhich decimal is recurring?Class 9Number SystemsDecimal representationLevel 1Expert MathematicsWhich decimal expansion represents an irrational number?Class 9Number SystemsIrrational numbersLevel 1Expert MathematicsIf a rational number has an infinite decimal expansion then it will be?Class 9Number SystemsDecimal representationLevel 3Hard MathematicsRiya writes the number \(0.101001000100001\ldots\), in which the number of zeros between successive 1s keeps increasing. She says that since the number contains only 0 and 1, it is rational. What is the correct evaluation of Riya’s statement?Class 9Number SystemsReal NumbersLevel 3Hard MathematicsA student claims that every non-terminating decimal is irrational. Which of the following numbers proves the student's claim wrong?Class 9Number SystemsReal NumbersLevel 3Hard MathematicsA student says, “Every number with a non-terminating decimal expansion is irrational.” Which of the following examples disproves the student's statement?Class 9Number SystemsReal NumbersLevel 3Hard MathematicsA student claims that the number \(0.101001000100001\ldots\) is rational because its decimal expansion contains only 0 and 1. What is the correct evaluation of this claim?Class 9Number SystemsReal NumbersLevel 3Hard MathematicsIf (x=0.454545\ldots) then (x) isClass 9Number SystemsDecimal representationLevel 3Hard MathematicsWhich decimal expansion represents a rational number?Class 9Number SystemsDecimal representationLevel 3Hard MathematicsA student says that if the decimal expansion of a number is non-terminating, then the number must be irrational. Which example disproves this statement?Class 9Number SystemsReal NumbersLevel 3Hard