# Class 9 Maths NCERT Solution for Number System part 1

In this page we have NCERT book Solutions for Class 9th Maths:Number system for EXERCISE 1 . Hope you like them and do not forget to like , social share and comment at the end of the page.

Question 1

Is zero a rational number? Can you write it in the form p/q

, where p and q are integers and q  not equal to 0?

Solution:

Yes. Zero is a rational number as it can be represented as  0/1  or 0/2…

Question 2

Find six rational numbers between 3 and 4.

Solution

The six rational numbers

3.1 , 3.2, 3.3, 3.4, 3.5, 3.6

Question 3

Find five rational numbers between 3/5 and 4/5

Solution:

We need to find five rational numbers

So we multiply the denominator and numerator by (5+1) both the numbers

3/5= 18/30

4/5=24/30

So rational numbers will be in increasing order

19/30

20/30

21/30

22/30

23/30

Question 4

State whether the following statements are true or false. Give 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; since the collection of whole numbers contains all natural numbers.

(ii) False; as integers may be negative but whole numbers are positive. For example: −3 is an integer but not a whole number.

(iii) False; as rational numbers may be fractional but whole numbers may not be