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
If \(\sqrt{x}=6.8\), which point does \(x\) represent on the number line?ExpertLevel 50Which of the following values is greater than \(\frac{17}{5}\) and less than \(\sqrt{12}\)?ExpertLevel 50If (u=-\sqrt{18}-2) on the number line, in which interval does (u) lie?ExpertLevel 50What is the simplified correct value of ( \sqrt{192}-\sqrt{75} ) on the number line?ExpertLevel 50Between which two consecutive integers does ( \sqrt{126}-\sqrt{80} ) lie on the number line?ExpertLevel 51If ( |x-1.5|=4.25 ) on the number line, what are the possible values of (x)?ExpertLevel 51What is the correct increasing order of ( \frac{41}{10} ), ( \sqrt{17} ), and (4.13) on the number line?ExpertLevel 51If (P=-\sqrt{93}) and (Q=-9.62), which point is farther right on the number line?ExpertLevel 51Which number does \(\sqrt{7.84}\) represent on the number line?ExpertLevel 51If \(A=-\frac{17}{5}\) and \(B=\frac{9}{10}\) on the number line, what is the length of (AB)?ExpertLevel 51Which value lies between ( \sqrt{48} ) and ( \sqrt{49} ) on the number line?ExpertLevel 51In which interval is (6-\sqrt{39}) correctly located on the number line?ExpertLevel 51Which point on the number line represents \(-\sqrt{2.56}\)?ExpertLevel 51If \(x=\frac{\sqrt{169}}{6}\), what value of \(x\) is represented on the number line?ExpertLevel 51Which statement is correct for ( \sqrt{21} ) and (4.59) on the number line?ExpertLevel 51If point (C) is ( \sqrt{23} ) units to the left of (-4), what is the coordinate of (C)?ExpertLevel 51Which point is exactly midway between ( \frac{7}{15} ) and ( \frac{11}{15} ) on the number line?ExpertLevel 51Which value lies between -√12 and -17/5 on the number line?MediumLevel 51If (a=\sqrt{108}-\sqrt{48}), what is the simplified form of (a) on the number line?ExpertLevel 51What type of number is (0.7272272227\ldots) on the number line?ExpertLevel 51