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 \(x=\sqrt{a}\) and \(12.6<x<12.7\) on the number line, which value of \(a\) is possible?ExpertLevel 51Which is the most suitable estimate of ( \sqrt{18}-\sqrt{17} ) on the number line?ExpertLevel 51Which value lies between (-5) and ( -\sqrt{23} ) on the number line?ExpertLevel 51If P is at \(\sqrt{256}-\sqrt{121}\) on the number line, what is the coordinate of P?EasyLevel 51On the number line, ( \frac{1}{\sqrt{36}} ) equals which point?ExpertLevel 51If c(A=-8.375c), c(B=-csqrt{70}c), and c(C=-cfrac{67}{8}c), which two points represent the same value?ExpertLevel 51On the number line, ( \sqrt{156} ) is closest to which integer?ExpertLevel 51If ( -\sqrt{122}<x<-11 ) on the number line, which value is possible?ExpertLevel 51What is the simplified form of ( \sqrt{29}+\sqrt{29}+\sqrt{29}+\sqrt{29} ) on the number line?ExpertLevel 51If √x = 7.9, which point on the number line represents x?ExpertLevel 51If (u=-\sqrt{27}-3) on the number line, in which interval does (u) lie?ExpertLevel 51What is the simplified correct value of ( \sqrt{300}-\sqrt{147} ) on the number line?ExpertLevel 51If (x) is exactly midway between ( \sqrt{2} ) and ( \sqrt{8} ) on the number line, what is the value of (x)?ExpertLevel 51