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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

Which number is located between (1) and (2) on the number line?EasyLevel 51 Where will the zero of (p(x)=x+3) be represented on the number line?EasyLevel 51 Which point on the number line represents the zero of the polynomial \(q(x)=x-8\)?EasyLevel 51 If the zero of a polynomial is (-5), in which direction will it lie on the number line?EasyLevel 51 Which point on the number line represents the zero of the polynomial \(p(x)=2x-6\)?EasyLevel 51 Where will the zero of r(x) = 3x + 12 lie on the number line?EasyLevel 51 On the number line, what type of real number does \(x=0\) represent?EasyLevel 51 Among (-1), (0), and (1), which point is farthest from (0) on the number line?EasyLevel 51 What is the opposite point of (4) on the number line?EasyLevel 51 What is the opposite point of (-7) on the number line?EasyLevel 51 Where will (\frac{5}{4}) be placed as a mixed number on the number line?EasyLevel 51 What is the decimal form of \(2+\frac{3}{10}\) on the number line?EasyLevel 51 Which number will lie to the right of (-2) on the number line?EasyLevel 51 Which number will lie to the left of (3) on the number line?EasyLevel 51 On the number line, which point is closer to 1: 1/10 or 9/10?EasyLevel 51 Between which two integers will (-0.2) lie on the number line?EasyLevel 51 Between which two consecutive integers will the decimal number 0.05 lie on the number line?EasyLevel 51 If point A has coordinate −3 and point B has coordinate 1 on the number line, what is the distance between A and B?EasyLevel 51 On the number line, point C has coordinate \(2.5\) and point D has coordinate \(4\). What is the distance between C and D?EasyLevel 51 What is the zero of (p(x)=x) on the number line?EasyLevel 51