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 of the following values is greater than \(\frac{9}{4}\) and less than \(\sqrt{6}\)?ExpertLevel 49If (u=-\sqrt{2}-1) on the number line, in which interval does (u) lie?ExpertLevel 49What is the simplified correct value of ( \sqrt{48}-\sqrt{27} ) on the number line?ExpertLevel 49Between which two consecutive integers is \(\sqrt{52}\) located on the number line?HardLevel 51If x = -√29 on the number line, in which interval will x lie?MediumLevel 51Which decimal point on the number line corresponds to \(\frac{23}{8}\)?HardLevel 51If (P) is ( \sqrt{14} ) units to the right of (-3) on the number line, what is the coordinate of (P)?HardLevel 51On the number line, which coordinate does the point representing \(\sqrt{3.24}\) have?HardLevel 51Which is the correct description of ( -\frac{19}{6} ) on the number line?HardLevel 51If \(a=\sqrt{6}\), \(b=\frac{5}{2}\), and \(c=2.48\), what is the increasing order of these numbers on the number line?HardLevel 51Which is the best estimate of \(\sqrt{65}\) to one decimal place on the number line?HardLevel 51Which value lies between ( \sqrt{21} ) and ( \sqrt{22} ) on the number line?HardLevel 51Between which two consecutive integers does \(\sqrt{40}-2\) lie on the number line?HardLevel 51On the number line, point A has coordinate −4.6 and point B has coordinate 2.9. What is the length of AB?HardLevel 51How should ( \frac{11}{12} ) be correctly understood between (0) and (1) on the number line?HardLevel 51If ( |x-4|=\frac{7}{2} ), what are the possible values of (x) on the number line?HardLevel 51What is the simplified form of ( \sqrt{2}+\sqrt{8} ) on the number line?HardLevel 51Which decimal is equal to -7/8 on the number line?EasyLevel 51If (M) is the midpoint of (-\frac{5}{3}) and ( \frac{7}{3} ) on the number line, what is (M)?HardLevel 51Which is farther right on the number line between ( \sqrt{5} ) and ( \frac{9}{4} )?HardLevel 51