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
If \(\sqrt{10}\) is represented on the number line, between which two consecutive integers does it lie?HardLevel 49On the number line, between which two consecutive integers will (\frac{-11}{5}) lie?HardLevel 49Which option has distance (3.5) from (0) on the number line?HardLevel 49If (P) is (\frac{7}{3}) units to the right of (-1) on the number line, what is the value of (P)?HardLevel 49Which legs of a right triangle can be useful to construct (\sqrt{3}) on the number line?HardLevel 49Which decimal number has the same position as (\frac{13}{8}) on the number line?HardLevel 49If \\(x=\\sqrt{12}\\), which is the correct simplified form of \(x\) before representing it on the number line?HardLevel 49Which number is irrational and lies between (0) and (1) on the number line?HardLevel 49Which option lists the numbers in correct left-to-right order on the number line?HardLevel 49If (A=-2.75) and (B=-2.7) on the number line, which point is to the left?HardLevel 49If a point is at distance (\sqrt{13}) from (0), which points can it be on the number line?HardLevel 49Which option gives the correct interval for (\sqrt{20}) on the number line?HardLevel 49Which rational number represents the point corresponding to \(0.333\ldots\) on the number line?HardLevel 49Which option correctly indicates the irrational number located near (1.732)?HardLevel 49If (M) is the midpoint of (\frac{5}{6}) and (\frac{7}{6}) on the number line, what is (M)?HardLevel 49On the number line, in which of the following open intervals does \\(2-\\sqrt{3}\\) lie?HardLevel 49If the coordinate of point \(x\) on the number line is \(1.25\), which of the following fractions represents \(x\)?HardLevel 49Which number is closest to (\sqrt{6}) on the number line?HardLevel 49If (\frac{p}{q}) is represented on the number line by (q) equal parts, then for (\frac{9}{7}), which point after (1) is chosen?HardLevel 49Which point lies midway between (-\frac{5}{2}) and (-\frac{1}{2}) on the number line?HardLevel 49