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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

To place (\frac{11}{5}) on the number line, between which two integers will it lie?MediumLevel 49 Which statement about the position of (\sqrt{7}) on the number line is correct?MediumLevel 49 Which point is closer to 3 on the number line, 3.04 or 3.4?EasyLevel 49 On the number line, which point will be to the right, (-0.8) or (-0.3)?MediumLevel 49 If (\sqrt{n}) lies between (4) and (5) on the number line, which value of (n) is possible?MediumLevel 49 What is the value of the midpoint between 1.2 and 1.3 on the number line?MediumLevel 49 On the number line, which point will be to the right: 3/2 or 1.6?EasyLevel 49 Which is the correct decimal form of \(-\frac{9}{5}\) for representing it on the number line?MediumLevel 49 Which integer is closest to (\sqrt{18}) on the number line?MediumLevel 49 If point Q is 1.5 units to the left of 2 on the number line, what is the value of Q?EasyLevel 49 Between which two consecutive integers does \(1+\sqrt{2}\) lie on the number line?MediumLevel 49 Which of the following pairs represents the same point on the number line?MediumLevel 49 What is the distance between (-\sqrt{9}) and (\sqrt{9}) on the number line?MediumLevel 49 What is the correct increasing order of 0.09, 0.9, and 0.19 on the number line?MediumLevel 49 If \(\sqrt{a}\) lies between 5 and 6 on the number line, what is the range of \(a\)?MediumLevel 49 Between which two consecutive integers does \(2-\sqrt{2}\) lie approximately on the number line?MediumLevel 49 Which option correctly describes the position of (\frac{-13}{6}) on the number line?MediumLevel 49 If A=1.4 and B=2.1 on the number line, what is the length of AB?EasyLevel 49 Starting from 0 on the number line, if we move 2.25 units to the right and then 0.5 unit to the left, what is the final point?MediumLevel 49 Which is the most accurate estimate of (\sqrt{3}) on the number line?MediumLevel 49