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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

On the number line, (0.999\ldots) is equal to which number?EasyLevel 50 Between which numbers will (\sqrt{7}) be placed on the number line?EasyLevel 50 Between which two integers will (-\sqrt{8}) lie on the number line?EasyLevel 50 On the number line, which of 2.01 and 2.10 lies farther to the right?EasyLevel 50 Which number lies between (\frac{2}{5}) and (\frac{3}{5}) on the number line?EasyLevel 50 Which point on the number line is represented by \(\frac{-6}{2}\)?EasyLevel 50 On the number line, 8/4 is equal to which integer?EasyLevel 50 Which region represents (x\le 2) on the number line?EasyLevel 50 Which region represents (x>-1) on the number line?EasyLevel 50 Which number lies exactly midway between 1 and 4 on the number line?EasyLevel 50 Between which two integers will (\sqrt{13}) lie on the number line?EasyLevel 50 Between which two integers will (-\frac{9}{4}) lie on the number line?EasyLevel 50 Which number is exactly midway between −2 and 3 on the number line?EasyLevel 50 Where will (\frac{3}{4}) be shown on the number line?EasyLevel 49 Between which two integers does −2.5 lie on the number line?EasyLevel 49 On the number line, sqrt(9) is the same as which point?EasyLevel 49 Between which two consecutive integers will (\sqrt{5}) lie on the number line?EasyLevel 49 If point (A) is (1.2) units to the right of (0) on the number line, which number does (A) represent?EasyLevel 49 On the number line (-\frac{1}{2}) will be at the same position as which value?EasyLevel 49 If the part between (1) and (2) on the number line is divided into (4) equal parts, where will (1.75) lie?EasyLevel 49