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 option correctly gives the position of (4-\sqrt{18}) on the number line?HardLevel 51On the number line, ( \sqrt{\frac{81}{196}} ) is equal to which point?HardLevel 51If the coordinate of a point on the number line is \\(x=\\sqrt{108}\\), what is the simplest form of \(x\)?HardLevel 51How can the number \(-0.3125\), represented on the number line, be written in its simplest fractional form?HardLevel 51Which value is greater than ( \sqrt{11} ) and less than ( \frac{10}{3} )?HardLevel 51If (A=2.4), (B=-1.8), and (C=5.1), what is the difference between lengths (AB) and (AC)?HardLevel 51Which value lies between ( \sqrt{2.25} ) and ( \sqrt{2.56} ) on the number line?HardLevel 51What is the correct increasing order of ( \sqrt{19} ), ( \frac{13}{3} ), and (4.34) on the number line?HardLevel 51If \(\sqrt{x}=4.7\), which value does \(x\) represent on the number line?HardLevel 51Which value is less than ( -\sqrt{13} ) and greater than (-3.7)?HardLevel 51What is the simplified form of ( \sqrt{12}+\sqrt{27} ) on the number line?HardLevel 51If \(u=-2-\sqrt{7}\) is represented on the number line, in which interval does \(u\) lie?HardLevel 51Between which two consecutive integers is ( \sqrt{6}+\frac{1}{3} ) located on the number line?HardLevel 51Between which two consecutive integers does ( \sqrt{91}-\sqrt{55} ) lie on the number line?ExpertLevel 50If ( |x+2.5|=3.75 ) on the number line, what are the possible values of (x)?ExpertLevel 50What is the correct increasing order of ( \frac{29}{8} ), ( \sqrt{13} ), and (3.61) on the number line?ExpertLevel 50If (P=-\sqrt{74}) and (Q=-8.55), which point is farther right on the number line?ExpertLevel 50At which point on the number line should (sqrt{5.76}) be marked?ExpertLevel 50If \(A=-\frac{11}{4}\) and \(B=\frac{7}{6}\) on the number line, what is the length of (AB)?ExpertLevel 50Which value lies between ( \sqrt{33} ) and ( \sqrt{34} ) on the number line?ExpertLevel 50