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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

To represent (5) on the number line, how many units and in which direction should we move from (0)?EasyLevel 51 Which is the correct position for representing (-6) on the number line?EasyLevel 51 Between which two integers will (\frac{2}{5}) lie on the number line?EasyLevel 51 In which interval will (-\frac{3}{4}) lie on the number line?EasyLevel 51 Between which two integers is (1.25) located on the number line?EasyLevel 51 Between which two integers will (-2.5) come on the number line?EasyLevel 51 What does the position of (0) represent on the number line?EasyLevel 51 Which number is closest to (0) on the number line?EasyLevel 51 What is the distance between (7) and (10) on the number line?EasyLevel 51 What is the distance between −5 and −1 on the number line?EasyLevel 51 What is the midpoint of the points representing 2 and 6 on the number line?EasyLevel 51 On the number line, (\sqrt{9}) will be at the same position as which number?EasyLevel 51 On the number line, (-\sqrt{16}) will be at the same position as which number?EasyLevel 51 Between which two integers will (\sqrt{20}) be located on the number line?EasyLevel 51 Between which two integers will (-\sqrt{7}) lie on the number line?EasyLevel 51 Between which two integers will (\frac{7}{2}) come on the number line?EasyLevel 51 Between which two integers will (-\frac{9}{2}) lie on the number line?EasyLevel 51 If the part between (1) and (2) on the number line is divided into (5) equal parts, which point is (1+\frac{2}{5})?EasyLevel 51 Which fraction represents the decimal number \(0.6\) on the number line?EasyLevel 51 Which number will not lie between (2) and (3) on the number line?EasyLevel 51