Class 8 maths chapter 1 exercise 1.2 solutions

class 8 maths chapter 1 exercise 1.2 solutions involve complete  answers for each question in the exercise 1.2. The solutions provide students a  strategic methods  to prepare for their exam. Class 8 Maths Chapter 8 rational number Exercise 1.2 questions and answers helps students  to perform better in exam and it will  clear doubts definitely. Students will find it extremely easy to understand the questions and learn solving the problems.NCERT Solutions for Class 8 Maths Chapter 1 rational number Exercise 1.2 prepared by our subject matter experts in very delicate, easy and creative way. 

Question 1:

Represent these numbers on the number line.

$${\displaystyle (i){\displaystyle \frac{7}{4}}(ii){\displaystyle \frac{-5}{6}}}$$$$

Answer:

(i)${\displaystyle \frac{7}{4}}$ can be represented on number line as follows:

(i)${\displaystyle \frac{-5}{6}}$ can be represented on number line as follows:

Question 2:

Represent ${\displaystyle \frac{-2}{11},\frac{-5}{11},\frac{-9}{11}}$ numbers on the number line.

Answer:

${\displaystyle \frac{-2}{11},\frac{-5}{11},\frac{-9}{11}}$ can be represented on number line as follows:

Question 3:

Write five rational numbers which are smaller than 2.

Answer:

$2$ can be represented as ${\displaystyle \frac{14}{7}}$.

Therefore, five rational numbers smaller than 2 are

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

Question 4:

Find ten rational numbers between ${\displaystyle \frac{-2}{5}}$ and  ${\displaystyle \frac{1}{2}}$.

Answer:

${\displaystyle \frac{-2}{5}}$ and ${\displaystyle \frac{1}{2}}$ can be represented as ${\displaystyle \frac{-8}{20}}$ and ${\displaystyle \frac{10}{20}}$ respectively.

Therefore, ten rational numbers are

${\displaystyle \frac{-1}{20},0,\frac{1}{20},\frac{2}{20},\frac{3}{20},\frac{4}{20},\frac{5}{20},\frac{6}{20},\frac{7}{20},\frac{8}{20},\frac{9}{20}}$

Question 5:

Find five rational numbers between

(i)${\displaystyle \frac{-2}{3}}$ and ${\displaystyle \frac{4}{5}}$

(ii)${\displaystyle \frac{-3}{2}}$ and ${\displaystyle \frac{5}{3}}$

(iii)${\displaystyle \frac{1}{4}}$ and ${\displaystyle \frac{1}{2}}$

Answer:

(i) ${\displaystyle \frac{-2}{3}}$ and ${\displaystyle \frac{4}{5}}$ can be represented as ${\displaystyle \frac{-30}{45}}$ and ${\displaystyle \frac{36}{45}}$ respectively.

Therefore, five rational numbers between ${\displaystyle \frac{-2}{3}}$ and ${\displaystyle \frac{4}{5}}$ are

${\displaystyle \frac{30}{45},\frac{31}{45},\frac{32}{45},\frac{33}{45},\frac{34}{45},\frac{35}{45}}$

(ii) ${\displaystyle \frac{-3}{2}}$ and ${\displaystyle \frac{5}{3}}$ can be represented as ${\displaystyle \frac{-9}{6}}$ and ${\displaystyle \frac{10}{6}}$ respectively.

Therefore, five rational numbers between ${\displaystyle \frac{-3}{2}}$ and ${\displaystyle \frac{5}{3}}$ are

${\displaystyle \frac{-8}{6},\frac{-7}{6},\frac{-6}{6},\frac{-5}{6},\frac{-4}{6}}$

(iii) ${\displaystyle \frac{1}{4}}$ and ${\displaystyle \frac{1}{2}}$ can be represented as ${\displaystyle \frac{8}{32}}$ and ${\displaystyle \frac{16}{32}}$ respectively.

Therefore, five rational numbers are

${\displaystyle \frac{1}{4}}$ and ${\displaystyle \frac{1}{2}}$ are${\displaystyle \frac{9}{32},\frac{10}{32},\frac{11}{32},\frac{12}{32},\frac{13}{32}}$

Question 6:

Write five rational numbers greater than −2 .

Answer:

−2 can be represented as ${\displaystyle \frac{-14}{7}}$.

Therefore, five rational numbers greater than −2 are $$\frac{-13}{7},\frac{-12}{7},\frac{-11}{7},\frac{-10}{7},\frac{-9}{7}$$

Question 7:

Find ten rational numbers between ${\displaystyle \frac{3}{5}}$ and ${\displaystyle \frac{3}{4}}$.

Answer:

${\displaystyle \frac{3}{5}}$ and ${\displaystyle \frac{3}{4}}$ can be represented as ${\displaystyle \frac{48}{80}}$ and ${\displaystyle \frac{60}{80}}$ respectively.

Therefore, ten rational numbers between ${\displaystyle \frac{3}{5}}$ and ${\displaystyle \frac{3}{4}}$ are

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