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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

Between which two integers will (2+\sqrt{3}) lie on the number line?MediumLevel 50 Between which two integers will (5-\sqrt{2}) come on the number line?MediumLevel 50 How will (\frac{13}{4}) be shown as a mixed number on the number line?MediumLevel 50 At which mixed number position will (-\frac{17}{5}) lie on the number line?MediumLevel 50 To reach (\frac{5}{6}) on the number line, into how many equal parts should the segment between (0) and (1) be divided?MediumLevel 50 To get (1+\frac{3}{8}) on the number line, which mark between (1) and (2) is needed?MediumLevel 50 What is the distance between \(A=-\frac{3}{2}\) and \(B=\frac{5}{2}\) on the number line?MediumLevel 50 What is the distance between (-2.75) and (1.25) on the number line?MediumLevel 50 What is the midpoint of (-\frac{7}{3}) and (\frac{2}{3}) on the number line?MediumLevel 50 What is the midpoint of 2.4 and 5.6 on the number line?MediumLevel 50 At which point will the zero of (p(x)=2x+5) lie on the number line?MediumLevel 50 Between which two integers will the zero of (q(x)=3x-7) lie on the number line?MediumLevel 50 In which interval will the zero of (r(x)=4x+6) lie on the number line?MediumLevel 50 If \(s(x)=x^2-16\), which points on the number line represent its zeros?MediumLevel 50 In what form will the zeros of (x^2-7) appear on the number line?MediumLevel 50 Which points will be the zeros of (x^2-2x=0) on the number line?MediumLevel 50 Which point is closest to (\sqrt{6}) on the number line?MediumLevel 50 Which point can be just to the right of (\sqrt{11}) on the number line?MediumLevel 50 Which number is less than (\sqrt{14}) but greater than (3) on the number line?MediumLevel 50 Which point will be to the right of −√5 on the number line?MediumLevel 50