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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 coordinate of the midpoint between 8-49 and (2) on the number line?EasyLevel 49 Which point is reached by moving 5 units to the right from 0 on the number line?EasyLevel 49 Which point is reached by moving 6 units to the left from 0 on the number line?EasyLevel 49 Which point is reached by moving 3 units to the right from 2 on the number line?EasyLevel 49 Which point is reached by moving 5 units to the left from 2 on the number line?EasyLevel 49 Which number is reached by moving 7 units to the right from −2 on the number line?EasyLevel 49 Which point is reached by moving (4) units to the left from (-3) on the number line?EasyLevel 49 Between which two integers does (\frac{5}{2}) lie on the number line?EasyLevel 49 Between which points will −5/2 lie on the number line?EasyLevel 49 To represent (0.4) on the number line, into how many equal parts is it useful to divide (0) to (1)?EasyLevel 49 Which point lies to the right between (0.6) and (0.8) on the number line?EasyLevel 49 Which simplest fraction is equal to the number represented by 3.5 on the number line?EasyLevel 49 Which right triangle hypotenuse is useful to construct (\sqrt{2}) on the number line?EasyLevel 49 Which legs are useful to construct (\sqrt{5}) on the number line?EasyLevel 49 Between which two integers does (\sqrt{8}) lie on the number line?EasyLevel 49 Between which two integers does √13 lie on the number line?EasyLevel 49 Which number lies between 1.4 and 1.5 on the number line?EasyLevel 49 Which points are 3 units away from 2 on the number line?EasyLevel 49 Which points are 4 units away from −2 on the number line?EasyLevel 49 If a > b on the number line, which statement is correct?EasyLevel 49