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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।

MathematicsIf the unit interval is divided into \(n\) equal parts for any positive integer \(n\), which number cannot be reached from 0 by moving a whole number of such parts?Class 9Number SystemsNumber lineLevel 8Expert MathematicsA student places \(\sqrt{7}\) between 2 and 3 on the number line and says that it is closer to 3 because 7 is closer to 9 than to 4. What is the correct evaluation of the student's conclusion?Class 9Number SystemsNumber lineLevel 8Expert MathematicsWhich statement is correct about locating the positive number \(\sqrt{5}\) on the number line?Class 9Number SystemsNumber lineLevel 8Expert MathematicsAt the point 3 on the positive number line, a perpendicular of length 2 units is drawn. The hypotenuse of the resulting right triangle is transferred from the origin in the same direction to mark point P on the number line. Which statement about P is correct?Class 9Number SystemsNumber lineLevel 8Expert MathematicsWhich statement is always true about the numbers lying between any two distinct real numbers on the number line?Class 9Number SystemsNumber lineLevel 8Expert MathematicsWhich of the following statements is correct about the positions of rational and irrational numbers on the number line?Class 9Number SystemsNumber lineLevel 8Expert MathematicsTo mark \(\sqrt{10}\) on a number line, Riya drew a right-angled triangle with sides 3 units and 2 units and used its hypotenuse as the radius. What is the error in her work?Class 9Number SystemsNumber lineLevel 8Expert MathematicsA student writes these conditions for a point P on the number line: \(P^2=2\) and \(1<P<2\). The student claims that P must be rational because it lies between 1 and 2. Which statement correctly identifies the error?Class 9Number SystemsNumber lineLevel 8Expert MathematicsWhich statement is correct about the distribution of irrational numbers between rational numbers on the number line?Class 9Number SystemsNumber lineLevel 8Expert MathematicsOn a number line, a point is at a distance of \(\sqrt{2}\) units from the origin in the positive direction. What is the coordinate of the point?Class 9Number SystemsNumber lineLevel 8Expert MathematicsWhich statement is correct about the interval between any two distinct real numbers on the number line?Class 9Number SystemsNumber lineLevel 8Expert MathematicsWhich of the following statements about the real number line is correct?Class 9Number SystemsNumber lineLevel 7Expert MathematicsWhich is the correct position of \(\sqrt{2}\) on the number line?Class 9Number SystemsNumber lineLevel 7Expert MathematicsWhich statement is correct about the numbers lying between any two distinct real numbers on the number line?Class 9Number SystemsNumber lineLevel 7Expert MathematicsWhich of the following points on the number line has an irrational coordinate?Class 9Number SystemsNumber lineLevel 7Expert MathematicsOn a number line, point P is marked at \(-\sqrt{3}\) and point Q at \(\sqrt{3}\). Ravi says that the distance PQ is \(\sqrt{3}\). Which option correctly explains Ravi's error?Class 9Number SystemsNumber lineLevel 7Expert MathematicsOn a number line, Reema placed \(\sqrt{7}\) to the right of 2.7 because she claimed that \(2.7^2<7\). Which is the correct analysis of her reasoning?Class 9Number SystemsNumber lineLevel 7Expert MathematicsIf P and Q represent two distinct real numbers on the number line, which statement is always true?Class 9Number SystemsNumber lineLevel 7Expert MathematicsA point \(P\) represents a positive number \(x\) such that \(x^2=7\). Between which two consecutive decimal marks will \(P\) lie on the number line?Class 9Number SystemsNumber lineLevel 7Expert MathematicsWhich statement correctly describes the position and type of \(\sqrt{7}\) on the number line?Class 9Number SystemsNumber lineLevel 7Expert