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Recurring Decimals

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

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 MathematicsIn simplest form, what type of decimal expansion will 17/120 have?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 MathematicsWhat is the recurring part of (4.505505505\ldots)?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 MathematicsHow can the decimal (0.2\overline{7}) be written?Class 9Number SystemsDecimal representationLevel 10Medium MathematicsA student claims that every non-terminating decimal expansion is irrational. Which example proves the claim wrong?Class 9Number SystemsDecimal representationLevel 10Medium MathematicsWhich is the correct bar notation of (0.0808\ldots)?Class 9Number SystemsDecimal representationLevel 10Medium MathematicsA student says that \(0.4999\ldots\) is less than \(0.5\) because the sequence of 9s never ends. Which conclusion is correct?Class 9Number SystemsDecimal representationLevel 10Medium MathematicsWhat is the recurring part in (0.456456456\ldots)?Class 9Number SystemsDecimal representationLevel 15Easy MathematicsWhat is the recurring part of (0.034034034\ldots)?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 MathematicsWhat is the repeating part in (5.1333\ldots)?Class 9Number SystemsDecimal representationLevel 15Easy MathematicsWhat is the bar notation of (0.272727\ldots)?Class 9Number SystemsDecimal representationLevel 15Easy MathematicsRavi says that a decimal expansion in which digits repeat must be irrational. Which example proves his statement wrong?Class 9Number SystemsDecimal representationLevel 15Easy MathematicsWhich of the following fractions, in its lowest form, will have a non-terminating recurring decimal expansion?Class 9Number SystemsDecimal representationLevel 14Easy 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 representationLevel 14Easy 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 representationLevel 14Easy MathematicsWhich decimal is not non-terminating recurring?Class 9Number SystemsDecimal representationLevel 14Easy MathematicsWhat is the bar notation of (0.0909\ldots)?Class 9Number SystemsDecimal representationLevel 14Easy