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 value is ( \frac{5}{6} ) unit to the right of ( -\frac{3}{4} ) on the number line?HardLevel 50If (a< b) and (a,b) on the number line are (a=-\sqrt{10}), (b=-\sqrt{m}), which value of (m) can be correct?HardLevel 50What is the correct increasing order of ( \frac{5}{3} ), ( \sqrt{3} ), and (1.7) on the number line?HardLevel 50If point (P) has coordinate ( -\sqrt{48} ) on the number line, between which two consecutive integers does (P) lie?HardLevel 50Which option correctly gives the position of (2-\sqrt{5}) on the number line?HardLevel 50On the number line, ( \sqrt{\frac{25}{16}} ) is equal to which point?HardLevel 50Which value is greater than ( \sqrt{6} ) and less than ( \sqrt{7} )?HardLevel 50If A = 1.2, B = −3.8, and C = 4.2 on the number line, how much greater is distance AB than distance AC?MediumLevel 50Which value lies between ( \sqrt{1.44} ) and ( \sqrt{1.69} ) on the number line?HardLevel 50What is the correct increasing order of ( \sqrt{10} ), ( \pi ), and ( \frac{19}{6} ) on the number line?HardLevel 50Between which two consecutive integers is ( \sqrt{5}+\frac{1}{2} ) located on the number line?HardLevel 50If (A=\sqrt{14}) and (B=4) on the number line, which value lies between (A) and (B)?HardLevel 50On the number line, which point is farther left between ( -\frac{11}{3} ) and ( -\sqrt{13} )?HardLevel 50Between which two consecutive integers does ( \sqrt{31}-\sqrt{12} ) lie on the number line?ExpertLevel 49If (x) on the number line satisfies ( |x+3|=2.5 ), what are the possible values of (x)?ExpertLevel 49What is the correct increasing order of 13/4, √11, and 3.28 on the number line?MediumLevel 49If (P=-\sqrt{20}) and (Q=-4.4), which point is farther right on the number line?ExpertLevel 49On the number line, at the point with which coordinate will (\sqrt{2.89}) be marked?ExpertLevel 49If \(A=-\frac{7}{3}\) and \(B=\frac{5}{6}\) on the number line, what is the length of (AB)?ExpertLevel 49Which value lies between \(\sqrt{18}\) and \(\sqrt{19}\) on the number line?ExpertLevel 49