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
After simplifying sqrt{50}, which value is it closest to on the number line?HardLevel 49If (P) is (\sqrt{9}) units left of (4) on the number line, what is the value of (P)?HardLevel 49Which statement correctly compares (\pi) and (\sqrt{10}) on the number line?HardLevel 49Which legs of a right triangle are most suitable to construct (\sqrt{17}) on the number line?HardLevel 49On the number line, in which interval will (\sqrt{5}-\sqrt{2}) lie?HardLevel 49Between which two consecutive integers should \(\sqrt{18}\) be represented on the number line?HardLevel 50If (2.357) is to be shown between (2.35) and (2.36) on the number line, to which value is it closer?HardLevel 50Between which two consecutive integers is ( -\sqrt{7} ) located on the number line?HardLevel 50At which decimal point will ( \frac{17}{5} ) be marked on the number line?HardLevel 50If (P) is ( \sqrt{6} ) units to the right of (1) on the number line, what is the coordinate of (P)?HardLevel 50Which option correctly describes ( \frac{-13}{4} ) on the number line?HardLevel 50If (a=\sqrt{2}), (b=\sqrt{3}), and (c=\sqrt{5}), what is the correct left-to-right order on the number line?HardLevel 50Which is the best estimate for showing ( \sqrt{45} ) on the number line?HardLevel 50Among ( -1.08 ), ( -1.8 ), ( -1.18 ), and ( -1.01 ), which will be farthest left on the number line?HardLevel 50Between which two consecutive integers does \(\sqrt{12}-1\) lie on the number line?HardLevel 50Which point lies exactly midway between (0) and (1)?HardLevel 50If points A and B are located at \(-2.4\) and \(3.6\), respectively, on the number line, what is the length of segment AB?HardLevel 50How should ( \frac{7}{8} ) be correctly understood between (0) and (1) on the number line?HardLevel 50Which integer is closest to ( \sqrt{99} ) on the number line?HardLevel 50If (x) on the number line satisfies ( |x-2|=3 ), what are the possible values of (x)?HardLevel 50