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.

\[\displaystyle (i)\dfrac{7}{4} (ii)\dfrac{-5 }{ 6}\]\(\)

Answer:

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

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

Question 2:

Represent \(\displaystyle{-2 \over 11},{-5 \over 11},{-9 \over 11}\) numbers on the number line.

Answer:

\(\displaystyle{-2 \over 11},{-5 \over 11},{-9 \over 11}\) 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 \(\displaystyle{14 \over 7}\).

Therefore, five rational numbers smaller than 2 are

\(\displaystyle{13\over 7} , {12\over 7} , {11\over 7} , {10\over 7} ,{ 9\over 7}\)

Question 4:

Find ten rational numbers between \(\displaystyle{-2 \over 5}\) and  \(\displaystyle{1  \over 2}\).

Answer:

\(\displaystyle{-2 \over 5}\) and \(\displaystyle{1 \over 2}\) can be represented as \(\displaystyle{-8 \over 20}\) and \(\displaystyle{10 \over 20}\) respectively.

Therefore, ten rational numbers are

\(\displaystyle{-1\over 20},0 , {1\over 20} , {2\over 20} , {3\over 20} ,{ 4\over 20},{5\over 20} , {6\over 20} , {7\over 20} ,{8\over 20} ,{ 9\over 20}\)

Question 5:

Find five rational numbers between

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

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

(iii)\(\displaystyle{1\over 4}\) and \(\displaystyle{1\over 2}\)

Answer:

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

Therefore, five rational numbers between \(\displaystyle{-2\over 3}\) and \(\displaystyle{4\over 5}\) are

\(\displaystyle{30\over 45} , {31\over 45} , {32\over 45} , {33\over 45} , { 34\over 45} , {35\over 45}\)

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

Therefore, five rational numbers between \(\displaystyle{-3\over 2}\) and \(\displaystyle{5\over 3}\) are

\(\displaystyle{-8\over 6} , {-7\over 6} , {-6\over 6} , {-5\over 6} , {-4\over 6}\)

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

Therefore, five rational numbers are

\(\displaystyle{1\over 4}\) and \(\displaystyle{1\over 2}\) are\(\displaystyle{9\over 32} , {10\over 32} , {11\over 32} , {12\over 32} , {13\over 32}\)

Question 6:

Write five rational numbers greater than −2 .

Answer:

−2 can be represented as \(\dfrac{-14}{7}\).

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

Question 7:

Find ten rational numbers between \(\displaystyle{3\over 5}\) and \(\displaystyle{3\over 4}\).

Answer:

\(\displaystyle{3\over 5}\) and \(\displaystyle{3\over 4}\) can be represented as \(\displaystyle{48\over 80}\) and \(\displaystyle{60\over 80}\) respectively.

Therefore, ten rational numbers between \(\displaystyle{3\over 5}\) and \(\displaystyle{3\over 4}\) are

\(\displaystyle{49\over 80} , { 50\over 80} , { 51\over 80} , { 52\over 80} , { 53\over 80} ,{ 54\over 80} , { 55\over 80} , { 56\over 80} , { 57\over 80} , { 58\over 80}\)