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 number lies between (\sqrt{3}) and (2) on the number line?MediumLevel 51Which of the following statements is correct about representing the irrational number \(\sqrt{2}\) on the number line?MediumLevel 51If (\sqrt{n}) lies between (6) and (7) on the number line, which value of (n) is possible?MediumLevel 51Which fraction represents the same point as (-1.25) on the number line?MediumLevel 51Which point lies exactly midway between (\frac{5}{4}) and (\frac{9}{4}) on the number line?MediumLevel 51A right triangle has two perpendicular sides of lengths 3 units and 4 units. Which value equal to the length of its hypotenuse can be constructed on the number line?MediumLevel 51Between which two integers will (-\sqrt{11}) lie on the number line?MediumLevel 51On the number line, (0.125) is the same point as which fraction?MediumLevel 51What is the distance of \(-\frac{7}{3}\) from (0) on the number line?MediumLevel 51What is the increasing order of (-\sqrt{2}), (-1.5), and (-1.3) on the number line?MediumLevel 51At which number on the number line is (\sqrt{0.49}) located?MediumLevel 51What will be the point symmetric to (1.75) with respect to (0) on the number line?MediumLevel 51What is the value of the midpoint between 0.6 and 1.4 on the number line?MediumLevel 51Which number lies between (\frac{2}{3}) and (\frac{3}{4}) on the number line?MediumLevel 51Which of the following is an irrational number that can be represented on the number line using the square-root construction method?MediumLevel 51On the number line, (\sqrt{32}) is closest to which integer?MediumLevel 51If points A = −2.25 and B = −0.75 lie on the number line, what is the length of segment AB?MediumLevel 51Between which two consecutive integers does \(1-\sqrt{3}\) lie on the number line?MediumLevel 51If \(n\) is a positive integer that is not a perfect square, which statement about \(\sqrt{n}\) is correct?MediumLevel 51If the distance from (2) to (5) is divided into (6) equal parts, what is the length of each part?EasyLevel 51