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 statement about the position of ( \sqrt{2}+\sqrt{3} ) on the number line is correct?HardLevel 50On the number line, ( -\frac{5}{6} ) is closer to which value?HardLevel 50If M is the midpoint of -1.5 and 4.5 on the number line, what is the value of M?EasyLevel 50Which number lies between ( \sqrt{8} ) and (3) on the number line?HardLevel 50Which integer lies between ( \sqrt{20} ) and ( \sqrt{27} ) on the number line?HardLevel 50If ( \sqrt{n} ) lies between (8) and (9) on the number line, which value of (n) is possible?HardLevel 50Which value lies between ( \frac{3}{7} ) and ( \frac{4}{7} ) on the number line?HardLevel 50If (p=-\sqrt{11}) and (q=-3) on the number line, which statement is correct?HardLevel 50Which point on the number line is at a distance of \(\frac{7}{3}\) from \(-2\) and lies to the right of \(-2\)?HardLevel 50Among (1.999), (2), (2.001), and (1.99), which is closest to (2) on the number line?HardLevel 50In the geometric construction of ( \sqrt{2} ) on the number line, which length is taken as the hypotenuse?HardLevel 50Which option correctly classifies (0.4040040004\ldots) on the number line?HardLevel 50Which statement is correct when comparing ( \sqrt{3} ) and ( \frac{7}{4} ) on the number line?HardLevel 50If \(a=\sqrt{50}\) on the number line, then \(a-7\) is closest to which of the following values?HardLevel 50Which value lies between ( -\sqrt{2} ) and ( -1.3 ) on the number line?HardLevel 50If (A=-\frac{9}{2}) and (B=-\frac{1}{2}) on the number line, what is the midpoint of (AB)?HardLevel 50Which statement about the positions of ( \frac{22}{7} ) and ( \pi ) on the number line is correct?HardLevel 50Which option states the position of ( \sqrt{15} ) on the number line most correctly?HardLevel 50On the number line, the point \(x\) is \(\sqrt{13}\) units to the right of \(-4\). In which interval does \(x\) lie?HardLevel 50If the point \(r\) on the number line represents \(0.125\), what is the simplest fractional form of \(r\)?HardLevel 50