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
In a similar segment, what is the fourth equal point from (2) when each part is (\frac{1}{2})?EasyLevel 51Which is the closest decimal value of \(\sqrt{\frac{1}{2}}\) on the number line?MediumLevel 51Which of these values will not lie between (0) and (1) on the number line?MediumLevel 51What is the distance between (\frac{2}{5}) and (\frac{7}{10}) on the number line?MediumLevel 51If \(\sqrt{a}\) is located exactly at \(4.5\) on the number line, what is the value of \(a\)?MediumLevel 51If point \(P\) is located \(\sqrt{0.04}\) units to the right of \(-0.4\), what is the value of \(P\)?MediumLevel 51Which of these points will lie to the left of (-2) on the number line?MediumLevel 51What is the increasing order of (\sqrt{1}), (\sqrt{2}), and (\sqrt{3}) on the number line?MediumLevel 51What is the midpoint of (-\sqrt{4}) and (\sqrt{16}) on the number line?MediumLevel 51Where will (\frac{13}{4}) be placed between (3) and (4) on the number line?MediumLevel 51Which of these values is closest to (2) on the number line?MediumLevel 51On the number line, which point will be to the right, (-\sqrt{25}) or (-\sqrt{36})?MediumLevel 51What is the distance of (-\sqrt{0.81}) from (0) on the number line?MediumLevel 51Which statement about (\sqrt{24}) on the number line is false?MediumLevel 51What will be the point symmetric to (4.6) with respect to (3) on the number line?MediumLevel 51Between which two integers will (\sqrt{37}-6) lie on the number line?MediumLevel 51Which conclusion is most useful first to place (\sqrt{7}) correctly between (2) and (3) on the number line?HardLevel 49If (A) lies between (1.4) and (1.5) on the number line and (A=\sqrt{2}), which statement is most correct?HardLevel 49On the number line, in which interval will (-\sqrt{5}) lie?HardLevel 49Which number is represented exactly midway between (0) and (1) on the number line?HardLevel 49