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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 order is correct from left to right on the number line?MediumLevel 50 If P = 2/3 and Q = 5/6 on the number line, what is the distance from P to Q?MediumLevel 50 What is the distance between \(M=-\frac{4}{5}\) and \(N=\frac{1}{10}\) on the number line?MediumLevel 50 On the number line, point A has the value 1.2 and point B has the value 3.75. What is the distance from A to B?MediumLevel 50 Which point is (\frac{3}{4}) unit to the left of (2) on the number line?MediumLevel 50 Which point is (\frac{5}{2}) units to the right of (-3) on the number line?MediumLevel 50 On the number line, the number \(x\) is located \(2.5\) units to the left of \(1\). What is the value of \(x\)?MediumLevel 50 Between which two integers will (\sqrt{27}) lie on the number line?MediumLevel 50 Between which two integers will (-\sqrt{30}) lie on the number line?MediumLevel 50 Which is the best simplified form for √50 on the number line?MediumLevel 50 Between which two integers will (3\sqrt{2}) lie on the number line?MediumLevel 50 Which statement is correct on the number line?EasyLevel 50 On the number line, which one will be to the right, a=√12 or b=3.5?MediumLevel 50 Between which two integers will (\frac{19}{6}) lie on the number line?MediumLevel 50 Between which two integers will (-\frac{22}{7}) lie on the number line?MediumLevel 50 If the segment from 0 to 1 on the number line is divided into 10 equal parts, which mark from 0 represents 0.7?MediumLevel 50 What is the value of the point exactly midway between 1.8 and 2.6 on the number line?MediumLevel 50 On the number line, \\(x\\) is at a distance of \\(1.5\\) units from \\(4\\), and \\(x<4\\). What is the value of \\(x\\)?MediumLevel 50 On the number line, the number \\(y\\) is \\(3.25\\) units to the right of \\(-2\\). What is the value of \\(y\\)?MediumLevel 50 Which number is not between (-1) and (0) on the number line?MediumLevel 50