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 option shows two points at equal distance from (0) on the number line?MediumLevel 49On the number line, (0.333\ldots) is equal to which fraction?MediumLevel 49On the number line, (\sqrt{20}) is closest to which integer?MediumLevel 49If the number line segment between (0) and (2) is divided into (8) equal parts, what is the length of each part?MediumLevel 49What is the distance from -1.2 to 0.3 on the number line?MediumLevel 49Which statement is true: on the number line, which is to the right, (\sqrt{2}) or (\sqrt{3})?MediumLevel 49On the number line, which point is closer to (1), (\frac{9}{10}) or (0.95)?MediumLevel 49If \(a=-4\), which point on the number line is represented by \(\sqrt{a^2}\)?MediumLevel 49What is the increasing order of (-\frac{3}{5}), (-0.7), and (-0.2) on the number line?MediumLevel 49A student said that (\sqrt{12}) will be near (12) on the number line. What is the correct correction?MediumLevel 49Which of the numbers 1.05, 1.5, and 1.005 will be located farthest to the left on the number line?MediumLevel 49Which relation between \(\sqrt{8}\) and \(3\) on the number line is correct?MediumLevel 49If M is the midpoint of −2 and 4 on the number line, what is the value of M?EasyLevel 49There are infinitely many real numbers between (0) and (1) on the number line. Which is the best example?MediumLevel 49If the distance from (0.2) to (0.8) on the number line is divided into (3) equal parts, how long is each part?MediumLevel 49On the number line, which point will be to the right, (\frac{5}{6}) or (\frac{7}{8})?MediumLevel 49If (A=-0.5), (B=0), and (C=0.75) on the number line, which pair has the greatest distance?MediumLevel 49Which number will lie exactly midway between (\frac{2}{5}) and (\frac{4}{5}) on the number line?MediumLevel 49Between which two integers will (\sqrt{10}) be correctly represented on the number line?MediumLevel 50Between which two integers will (-\sqrt{18}) lie on the number line?MediumLevel 50