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Terminating Decimals

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 terminating decimal is irrational. Which of the following examples proves the claim wrong?Class 9Number SystemsDecimal representationEasy 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 representationEasy MathematicsIf the rational number \(\frac{p}{q}\) is in lowest terms, which property of \(q\) guarantees that its decimal expansion terminates?Class 9Number SystemsDecimal representationEasy MathematicsWhich of the following fractions, in its lowest form, will have a non-terminating recurring decimal expansion?Class 9Number SystemsDecimal representationEasy MathematicsRima writes that \(\frac{7}{12}=0.58\) and that it is a terminating decimal. Which correction to her error is correct?Class 9Number SystemsDecimal representationEasy MathematicsA student says that if the denominator of a fraction in lowest form has a prime factor other than 2 and 5, its decimal expansion is non-terminating recurring. Which fraction is an example of this statement?Class 9Number SystemsDecimal representationEasy MathematicsWhich decimal is not non-terminating recurring?Class 9Number SystemsDecimal representationEasy MathematicsWhich of the following rational numbers will have a terminating decimal expansion when written in lowest terms?Class 9Number SystemsDecimal representationEasy MathematicsA student says that a fraction with an even denominator always has a terminating decimal expansion. Which statement correctly corrects this idea?Class 9Number SystemsDecimal representationEasy MathematicsWhich of the following is a non-terminating recurring decimal expansion?Class 9Number SystemsDecimal representationEasy MathematicsA student says, “The decimal expansion of \(\frac{7}{40}\) will be non-terminating because 40 is not a power of 10.” Which option about this statement is correct?Class 9Number SystemsDecimal representationEasy MathematicsWhich of the following rational numbers has a non-terminating recurring decimal expansion?Class 9Number SystemsDecimal representationEasy MathematicsA student says that \(0.125000\ldots\) is irrational because it has infinitely many zeros. Which is the correct correction to the statement?Class 9Number SystemsDecimal representationEasy MathematicsWhich of the following fractions has a terminating decimal expansion?Class 9Number SystemsDecimal representationEasy MathematicsReema says that \(0.125\) is irrational because it has digits after the decimal point. Which statement correctly explains Reema’s error?Class 9Number SystemsDecimal representationEasy MathematicsWhich number does not have a terminating decimal?Class 9Number SystemsDecimal representationExpert MathematicsWhich decimal is terminating?Class 9Number SystemsDecimal representationExpert MathematicsWhich fraction will not have a terminating decimal?Class 9Number SystemsDecimal representationExpert MathematicsWhat type of decimal expansion does (\frac{11}{125}) have?Class 9Number SystemsDecimal representationExpert MathematicsWhich fraction has a terminating decimal?Class 9Number SystemsDecimal representationExpert