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Subjects

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 justifies (0<\sqrt{0.49}<1) on the number line?MediumLevel 49If (\sqrt{n}) lies between (5) and (6) on the number line, which value of (n) is possible?HardLevel 49On the number line, (3+√2) lies between which two integers?MediumLevel 49Which option gives the correct interval of (-1+\sqrt{5}) on the number line?HardLevel 49On the number line, √16/2 is equal to which point?EasyLevel 49If (A) is (\sqrt{18}) on the number line, to which number is (A) closest?HardLevel 49Which option gives the increasing order of ( \frac{2}{3} ), ( \frac{3}{5} ), and ( \frac{5}{6} ) on the number line?HardLevel 49On the number line, in which interval will (\sqrt{2}+\sqrt{3}) lie?HardLevel 49If \(P=\frac{3}{2}\) and \(Q=\frac{11}{2}\) on the number line, what is the length (PQ)?HardLevel 49Which option lies between (\sqrt{11}) and (\sqrt{15}) on the number line?HardLevel 49On the number line, (x) satisfies (|x-2|=3). What are the values of (x)?HardLevel 49Which option gives the correct simple interval for (-\sqrt{12}) on the number line?HardLevel 49Which statement is correct about (0.1010010001\ldots) on the number line?HardLevel 49Which number on the number line corresponds to \(\sqrt{9.61}\)?HardLevel 49If \(x=\frac{17}{10}\) and \(y=\sqrt{3}\), which of these points lies to the left on the number line?HardLevel 49On the number line, in which direction and at what distance from (0) is (\frac{-7}{4}) placed?HardLevel 49Which number can be represented as (\sqrt{25}-\sqrt{4}) on the number line?HardLevel 49What is the midpoint of (\sqrt{2}) and (\sqrt{8}) on the number line?HardLevel 49If x lies between 2.6 and 2.7, which test is correct for x = √7?MediumLevel 49Which option gives the left-to-right order of (-\frac{2}{3}), (-\frac{3}{4}), and (-\frac{5}{6})?HardLevel 49