Mathematics
Representing real numbers on the number line
संख्या रेखा पर वास्तविक संख्याओं का निरूपण
In this Class 10 Mathematics topic, students learn how real numbers—including rational numbers, irrational numbers and square roots—are located and represented accurately on the number line. They explore scale, order, distance and interval placement, and connect numerical values with geometric positions. This understanding supports the Polynomials chapter by helping students interpret and visualise real zeroes as points on the number line.
Practice questions
Which point lies between (-2) and (-1) on the number line?MediumLevel 50At which points on the number line will the solutions of the equation \(x^2-25=0\) be located?MediumLevel 50What are the zeros of (p(x)=(2x-1)(x+4)) on the number line?MediumLevel 50What is the correct increasing order of (0), (\frac{1}{2}), (\sqrt{2}), and (2) on the number line?MediumLevel 50On the number line, which point is to the right, (x=-\sqrt{2}) or (y=-\frac{3}{2})?MediumLevel 50Which statement is correct about representing an irrational number on the number line?MediumLevel 51Between which two consecutive integers does \(\sqrt{26}\) lie on the number line?MediumLevel 51If the line segment from (0) to (3) is divided into (12) equal parts, what value will the seventh point after (0) show?MediumLevel 51What is the distance between (-\sqrt{16}) and (2.5) on the number line?MediumLevel 51On the number line, which point will be to the right, (-\sqrt{6}) or (-2.4)?MediumLevel 51What is the value of the midpoint between (-1.6) and (2.8) on the number line?MediumLevel 51Which fraction represents the same point as 2.125 on the number line?EasyLevel 51On the number line, (\sqrt{45}) will be closest to which integer?MediumLevel 51On the number line, what will be the coordinate of the final point after moving 2.75 units to the left from 1.25?MediumLevel 51What is the correct left to right order of (\frac{4}{3}), (\sqrt{2}), and (1.5) on the number line?MediumLevel 51Between which two integers will (\sqrt{50}) be located on the number line?MediumLevel 51Between which two consecutive integers does \\(2+\\sqrt{5}\\) lie on the number line?MediumLevel 51If the distance from (-1) to (1) is divided into (8) equal parts, what is the length of each part?MediumLevel 51If each step to the right from (-1) is (0.25), which point will be reached at the third step?MediumLevel 51Which number lies between √3 and 2 on the number line?MediumLevel 51