Mathematics
Number line
संख्या रेखा
The Number Line topic in Class 9 Mathematics, within Number Systems, helps students visualise numbers as points on a continuous line. They learn to locate and compare integers, rational numbers, irrational numbers and real numbers, understand their order and relative position, and interpret distance using intervals. The topic also supports the geometric representation of irrational numbers such as √2, making the connection between numerical expressions and their positions on the real number line clear.
Practice questions
Which statement is always true about the interval between two distinct real numbers on the real number line?On the number line, point (A) has coordinate (-\frac{7}{3}) and point (B) has coordinate (\frac{5}{6}). What is the distance between (A) and (B)?Between which two consecutive integers will (\sqrt{52}) lie on the number line?If (P=-1.25) and (Q=2.75) on the number line, which point is the midpoint of (PQ)?On the number line, between which two consecutive integers will (-\sqrt{10}) lie?If (x) is a point on the number line whose distance from (3) is (5) units, what are all possible values of (x)?How can (0.101001000100001\ldots) be shown on the number line?How should (\frac{11}{4}) be correctly interpreted on the number line?Which number lies to the right of (-\frac{5}{2}) and to the left of (-2.4) on the number line?If (a) is (0.9) unit to the left of (1.6) on the number line, what is (a)?On the number line, (A=-\frac{3}{4}), (B=-0.7), (C=-\frac{4}{5}), and (D=-0.76). Which point will be farthest left?On the number line, (x) satisfies (-1<x<0) and (x^2=\frac{1}{9}). What is (x)?Why is a right triangle with perpendicular sides (1) unit and (1) unit used to construct (\sqrt{2}) on the number line?Which number lies exactly midway between (\frac{2}{7}) and (\frac{3}{7}) on the number line?If (M) and (N) are at (-6.2) and (-1.8) respectively on the number line, what is the length of (MN)?Which is the best nearest integer for (\sqrt{18}) on the number line?Which statement is correct on the number line?If point (T) is equidistant from (-3) and (4) on the number line, what is the coordinate of (T)?Which number between (0) and (1) on the number line is irrational?On the number line, which is the greatest among (-0.03), (-0.3), (0.003), and (-0.003)?