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Number Systems

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

MathematicsWhat is the simplified form of √2 + √8 + √18?Class 9Number SystemsIrrational numbersMedium MathematicsIf 0.01001000100001... is non-terminating and non-repeating, what type of number is it?Class 9Number SystemsIrrational numbersMedium MathematicsWhat will be the decimal expansion of the simplified form of 105/126?Class 9Number SystemsDecimal representationMedium MathematicsWhich of the following numbers has a non-terminating recurring decimal expansion?Class 9Number SystemsReal NumbersHard MathematicsIf the decimal expansion of a real number is non-terminating and non-recurring, what type of number is it?Class 9Number SystemsReal NumbersHard MathematicsWhich of the following numbers is irrational because its decimal expansion is non-terminating and non-repeating?Class 9Number SystemsReal NumbersHard MathematicsA student says that if the given denominator of a fraction has a prime factor other than 2 and 5, then its decimal expansion must be non-terminating. Which of the following fractions shows the error in this statement?Class 9Number SystemsReal NumbersHard MathematicsIf \(x\) is an irrational number, which of the following statements is always true?Class 9Number SystemsReal NumbersHard MathematicsWhat is the value of \(\left(\sqrt{5}+\sqrt{3}\right)^2-\left(\sqrt{5}-\sqrt{3}\right)^2\)?Class 9Number SystemsReal NumbersHard MathematicsWhat is the value of (3 + √2)/(3 − √2) + (3 − √2)/(3 + √2)?Class 9Number SystemsReal NumbersHard MathematicsWhich of the following numbers is definitely irrational?Class 9Number SystemsReal NumbersHard MathematicsA student says that the decimal expansion of \(\frac{77}{480}\) will terminate because the prime factors of 480 include 2 and 5. Which is the correct evaluation of the student's statement?Class 9Number SystemsReal NumbersHard MathematicsWhat is the value of \(\sqrt{(-12)^2}\)?Class 9Number SystemsReal NumbersMedium MathematicsWhat is the value of \(\left|\sqrt{36}-\sqrt{121}\right|\)?Class 9Number SystemsReal NumbersMedium MathematicsA student says, “A number with an infinite decimal expansion is always irrational.” Which of the following examples proves that the student's statement is incorrect?Class 9Number SystemsReal NumbersMedium MathematicsRiya says that the sum of any two irrational numbers is always irrational. Which of the following examples disproves her statement?Class 9Number SystemsReal NumbersMedium MathematicsA student says that the decimal expansion of \(\frac{13}{375}\) will terminate because its denominator has 5 as a factor. What is the correct correction to the student's statement?Class 9Number SystemsReal NumbersMedium MathematicsWhich of the following numbers has a non-terminating, non-repeating decimal expansion?Class 9Number SystemsReal NumbersMedium MathematicsWhat type of decimal expansion does \(\frac{37}{54}\) have?Class 9Number SystemsReal NumbersMedium MathematicsWhat type of decimal is 41/500?Class 9Number SystemsDecimal representationMedium