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Irrational Numbers

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

MathematicsRavi says, “All non-terminating decimal expansions are irrational.” Which of the following examples disproves his statement?Class 9Number SystemsDecimal representationLevel 12MediumMathematicsA student says that \(0.101001000100001\ldots\) is a rational number because it contains only the digits 0 and 1. Which evaluation of this statement is correct?Class 9Number SystemsDecimal representationLevel 11MediumMathematicsWhat is the recurring part of (2.909090\ldots)?Class 9Number SystemsDecimal representationLevel 11MediumMathematicsA student says that \(0.272727\ldots\) is irrational because its decimal expansion does not terminate. Which is the correct correction to this statement?Class 9Number SystemsDecimal representationLevel 11MediumMathematicsA student says that every non-terminating decimal expansion is irrational. Which example disproves the statement?Class 9Number SystemsDecimal representationLevel 11MediumMathematicsA student says that \(0.101001000100001\ldots\) is rational because it contains only the digits 0 and 1. Which statement correctly explains the student's error?Class 9Number SystemsDecimal representationLevel 10MediumMathematicsA student claims that every non-terminating decimal expansion is irrational. Which example proves the claim wrong?Class 9Number SystemsDecimal representationLevel 10MediumMathematicsRiya 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 15EasyMathematicsA student claims that every terminating decimal is irrational. Which of the following examples proves the claim wrong?Class 9Number SystemsDecimal representationLevel 15EasyMathematicsReena says, “Every non-terminating decimal is irrational.” Which of the following numbers disproves her statement?Class 9Number SystemsDecimal representationLevel 14EasyMathematicsReena says that every non-terminating decimal is an irrational number. Which of the following examples proves her statement wrong?Class 9Number SystemsDecimal representationLevel 14EasyMathematicsIn the decimal number 0.101001000100001..., the number of zeros after each 1 keeps increasing. What type of number is it?Class 9Number SystemsDecimal representationLevel 14EasyMathematicsWhich decimal is non-terminating non-recurring?Class 9Number SystemsDecimal representationLevel 13EasyMathematicsNear which nearest integer should (\sqrt{80}) be placed on the number line, and on which side?Class 9Number SystemsNumber lineLevel 9ExpertMathematicsBetween which two consecutive integers will (\sqrt{52}) lie on the number line?Class 9Number SystemsNumber lineLevel 9ExpertMathematicsWhich statement is always true about the interval between two distinct real numbers on the real number line?Class 9Number SystemsNumber lineLevel 9ExpertMathematicsA student claims that every number lying between 1.4 and 1.5 on the number line is rational. Which of the following points proves the claim wrong?Class 9Number SystemsNumber lineLevel 9ExpertMathematicsOn the number line, \(P=\sqrt{2}\) and \(Q=\sqrt{3}\). A student says that no rational number can lie between \(P\) and \(Q\) because both endpoints are irrational. What is the correct evaluation of this statement?Class 9Number SystemsNumber lineLevel 9ExpertMathematicsOn the number line, point \(P\) is \(\sqrt{13}\) units to the right of \(-1\). In which interval will \(P\) lie?Class 9Number SystemsNumber lineLevel 9ExpertMathematicsOn a number line, point A represents \(-\sqrt{7}\) and point B represents \(-2.6\). A student says that since \(\sqrt{7}>2.6\), A must lie to the right of B. Which correction is correct?Class 9Number SystemsNumber lineLevel 9Expert

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