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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।

MathematicsThe decimal (2.3999\ldots) is equal to which terminating decimal?Class 9Number SystemsDecimal representationLevel 11Hard MathematicsWhich of the following rational numbers will have a terminating decimal expansion when written in its lowest form?Class 9Number SystemsDecimal representationLevel 10Hard MathematicsWhich of the following rational numbers has a terminating decimal expansion even though its given denominator does not appear to be a product of powers of 2 and 5?Class 9Number SystemsDecimal representationLevel 10Hard MathematicsRima says that the decimal expansion of \(\frac{13}{30}\) will terminate because 30 has both 2 and 5 as factors. What is the error in Rima’s statement?Class 9Number SystemsDecimal representationLevel 12Medium MathematicsA student claims that the decimal expansion of every rational number terminates. Which of the following numbers is a counterexample to this claim?Class 9Number SystemsDecimal representationLevel 12Medium MathematicsRiya says that the decimal expansion of \(\frac{13}{40}\) is non-terminating because 40 is not a power of 10. What is Riya's error?Class 9Number SystemsDecimal representationLevel 12Medium MathematicsWhat is obtained when (0.875) is converted into a simplified fraction?Class 9Number SystemsDecimal representationLevel 12Medium MathematicsWhen does a fraction \(\frac{p}{q}\) in lowest terms have a terminating decimal expansion?Class 9Number SystemsDecimal representationLevel 12Medium MathematicsIn simplest form, what type of decimal expansion will 45/150 have?Class 9Number SystemsDecimal representationLevel 11Medium MathematicsA student says, “If the denominator of a fraction has 3 as a factor, its decimal expansion is always non-terminating recurring.” Which fraction disproves this statement?Class 9Number SystemsDecimal representationLevel 11Medium MathematicsWhich condition ensures that the decimal expansion of a rational number is terminating when the fraction is in lowest terms?Class 9Number SystemsDecimal representationLevel 11Medium MathematicsIf, in the simplest form of a rational number \(\frac{p}{q}\), the denominator \(q\) has 3 as one of its prime factors, what will be the nature of its decimal expansion?Class 9Number SystemsDecimal representationLevel 10Medium MathematicsReema says that if the denominator of a fraction has a prime factor other than 2 and 5, then its decimal expansion is terminating. Which example shows Reema’s error?Class 9Number SystemsDecimal representationLevel 10Medium MathematicsWhich of the following fractions has a terminating decimal expansion when written in its lowest form?Class 9Number SystemsDecimal representationLevel 10Medium MathematicsIf (x=0.37) and (y=0.307), which relation is correct?Class 9Number SystemsDecimal representationLevel 10Medium MathematicsWhat is obtained when (0.0125) is converted into a simplified fraction?Class 9Number SystemsDecimal representationLevel 15Easy MathematicsRiya said, “0.125 is an irrational number because it has a decimal point.” Which is the correct correction of Riya’s statement?Class 9Number SystemsDecimal representationLevel 15Easy MathematicsWhich of the following fractions, in its lowest form, has a terminating decimal expansion?Class 9Number SystemsDecimal representationLevel 15Easy MathematicsA student claims that every terminating decimal is irrational. Which of the following examples proves the claim wrong?Class 9Number SystemsDecimal representationLevel 15Easy 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