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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

What is the opposite point of −3 on the number line?EasyLevel 50 Which statement about (2.4) and (-2.4) on the number line is correct?EasyLevel 50 To show (\frac{1}{3}) on the number line, which mark between (0) and (1) should be taken?EasyLevel 50 While showing (\frac{7}{5}) on the number line, after which integer will it appear?EasyLevel 50 In which interval will (-\frac{1}{4}) lie on the number line?EasyLevel 50 On the number line, (3\frac{1}{2}) is equal to which decimal?EasyLevel 50 How will 4.0 and 4 be positioned on the number line?EasyLevel 50 Among (0.25), (0.5), and (0.75), which is leftmost on the number line?EasyLevel 50 Among (-1.2), (-1.8), and (-1.5), which is rightmost on the number line?EasyLevel 50 What type of numbers can all points between (1) and (2) represent on the number line?EasyLevel 50 Which statement correctly describes the positions of \(\sqrt{16}\) and 4 on the number line?EasyLevel 50 On the number line, (2+\frac{1}{4}) is equal to which number?EasyLevel 50 On the number line, (-2+\frac{1}{2}) has the same position as which number?EasyLevel 50 What is the midpoint between the points represented by \(x=2\) and \(x=-2\) on the number line?EasyLevel 50 How many units must one move on the number line to go from 5 to 8?EasyLevel 50 How many units must one move on the number line to go from -6 to -2?EasyLevel 50 Which point is reached by moving 2.5 units to the left of 0 on the number line?EasyLevel 50 Which point is reached by moving 3 units to the right from -1 on the number line?EasyLevel 50 When 1.5 is compared with 3/2 on the number line, what do we get?EasyLevel 50 On the number line, (0.333\ldots) is considered equal to which fraction?EasyLevel 50