# S.chand books class 8 maths solution chapter 1 Rational Numbers exercise 1 D

## Exercise 1 D

#### Question 1

Find a rational number between a and b, if

(i)

Sol :

(ii)

Sol :

(iii)

Sol :

(iv)

Sol :

#### Question 2

Find the two rational numbers between -2 and 2 .

Sol :

Two rational numbers are 0 , 1

#### Question 3

Find the three rational numbers between

Sol :

Let q1 , q2 and q3 are three required rational numbers

q1=

=

=

=

q2=

=

=

=

q3=

=

=

=

#### Question 4

Find four rational numbers between -1 and .

Sol :

Let q1 , q2 , q3 and q4 are four required rational numbers

q1=

=

=

=

q2=

L.C.M of 4  and 2 is 4

=

=

=

q3=

L.C.M of 8  and 2 is 8

=

=

=

q4=

L.C.M of 16 and 2 is 16

=

=

=

#### Question 5

Find six rational numbers between -1 and 0

Sol :

Let q1 , q2 , q3 , q4 , q5 and q6 are six required rational numbers

q1=

=

q2=

=

=

q3=

=

=

q4=

=

=

q5=

=

=

q6=

=

=

#### Question 6

Insert 10 rational numbers between .

Sol :

Taking equivalent rationals for

So , 10 rational numbers are ,

#### Question 7

Insert 100 rational numbers between .

Sol :

Taking equivalent rationals and

So , ten rational numbers are

#### Question 8

Find (i) Six (ii) Sixty

(iii) Six hundred rational numbers between

Sol :

(i)

six rational numbers are

(ii)

Taking equivalent rationals and

Sixty rational numbers are

(iii)

Taking equivalent rationals and

Six hundred rational numbers are

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