Chapter 1: Number System

EXERCISE 1.1

1. Is zero a rational number ? Can you write it in the form

 pq  , q≠0 , where p and q are integers .

Solution:  Yes , zero is a rational number .

                01  , where 0 and 1 are the integers .

2. Find six rational number between 3 and 4 .

Solution:  We have ,

3=31=3×101×10=3010

And

4=41=4×101×10=4010

    Therefore, the six rational number between 3 and 4 are

3110  , 3210  , 3310  ,3410 ,3510

And

3610

3. Find five rational number between

35

and

45

Solution:  We have ,

35=3×85×8=2440

and

45=4×85×8=3240

   Therefore, the five rational number between 35 and  45  are

2540  , 2640  ,2740  ,2840

and

2940

4. State whether the following statements are true or false . Given reasons for your answers .

       (i) Every natural number is a whole number .

      (ii) Every integer is a whole number .

     (iii) Every rational number is a whole number.

Solution:  (i) True , because natural number and zero is include in whole number .

                  (ii)  False , because negative number is not a whole number .

                 (iii) False , because negative numbers and fraction is not a whole number .