Questions and Solutions for NCERT Class 8th Mathematics Chapter 1 -Exercise 1.2

Questions and Solutions for NCERT Class 8 Mathematics Chapter 1 Exercise 1.2, Stepwise Solutions for NCERT Class 8th Mathematics, Solutions for NCERT Class 8th Mathematics Chapter 1,  Class 8th Mathematics Chapter 1: Rational Numbers, Class 8th Maths solutions, ncert class 8th class solutions, cbse 8th class solutions, 8th class maths solutions, 8th class maths solutions pdf, 8th maths solution, ncert solutions, download ncert maths solutions

NCERT Class 8th Mathematics Chapter 1 – Rational Numbers Solutions Exercise 1.2 Solutions
                                                                       Exercise 1.2

Q1. Represent these numbers on the number line .

(i)

$\frac{7}{4}$

(ii)

$\frac{–5}{6}$

Sol:

(i)

$\frac{7}{4}$

can be represented on the number line as follows:

(ii)

$\frac{–5}{6}$

can be represented on the number line as follows:

Q2. Represent

$\frac{–2}{11},\frac{–5}{11},\frac{–9}{11}$

on the number line.

Sol:

$\frac{–2}{11},\frac{–5}{11},\frac{–9}{11}$

can be represented on the number line as follows:

Q3. Write five rational numbers which are smaller than 2.

Sol: 2 can be represented as

$\frac{14}{7}$

Therefore, five rational numbers smaller than 2 are

$\frac{13}{7},\frac{12}{7},\frac{11}{7},\frac{10}{7},\frac{9}{7}$

Q4. Find ten rational numbers between

$\frac{–2}{5}and\frac{1}{2}$

Sol:

$\frac{–2}{5}and\frac{1}{2}$

can be represented as

$\frac{–8}{20}and\frac{10}{20}$

respectively.

Therefore, ten rational numbers between are

$\frac{–7}{20},\frac{–6}{20},\frac{–5}{20},\frac{–4}{20},\frac{–3}{20},\frac{–2}{20},\frac{–1}{20},0,\frac{1}{20},\frac{2}{20}$

Q5.Find five rational numbers between

(i)

$\frac{2}{3}and\frac{4}{5}$

(ii)

$\frac{–3}{2}and\frac{5}{3}$

(iii)

$\frac{1}{4}and\frac{1}{2}$

Sol: (i)

$\frac{2}{3}and\frac{4}{5}$

can be represented as

$\frac{30}{45}and\frac{36}{45}$

respectively.

Therefore, five rational numbers between are

$\frac{31}{45},\frac{32}{45},\frac{33}{45},\frac{34}{45}.\frac{35}{45}$

(ii)

$\frac{–3}{2}and\frac{5}{3}$

can be represented as

$\frac{–9}{6}and\frac{10}{6}$

respectively.

Therefore, five rational numbers between are

$\frac{–8}{6},\frac{–7}{6},\frac{–6}{6},\frac{–5}{6},\frac{–4}{6}$

(iii)

$\frac{1}{4}and\frac{1}{2}$

can be represented as

$\frac{8}{32}and\frac{16}{32}$

respectively

Therefore, five rational numbers between are

$\frac{9}{32},\frac{10}{32},\frac{11}{32},\frac{12}{32},\frac{13}{32}$

Q6. Write five rational numbers which are greater than -2.

Sol: – 2 can be represented as

$\frac{–14}{7}$

Therefore, five rational numbers greater than -2 are

$\frac{–13}{7},\frac{–12}{7},\frac{–11}{7},\frac{–10}{7},\frac{–9}{7}$

Q7. Find ten rational numbers between

$\frac{3}{5}and\frac{3}{4}$

.

Sol:

$\frac{3}{5}and\frac{3}{4}$

can be represented as

$\frac{48}{80}and\frac{60}{80}$

respectively

Therefore, ten rational numbers between are

$\frac{49}{80},\frac{50}{80},\frac{51}{80},\frac{52}{80},\frac{53}{80}\frac{54}{80},\frac{55}{80},\frac{56}{80},\frac{57}{80},\frac{58}{80}$

NCERT Class 8th Mathematics Chapter 2 – Linear Equations in One Variable Solutions Exercise 2.1 Solutions