NCERT Solutions For Class 9 Math Chapter – 1 Exercise – 1.1
NCERT Solutions For Class 9 Math Chapter -1 Number System helps students in learning basic concepts of probability which is include in the second term’s CBSE syllabus 2021-2022 NCERT Solutions For Class 9 Maths provide answers to all the questions in exercise present at the end of the chapter These solutions are prepared by our mathematics experts who are highy experienced in the field of education.
Experts at Sunstarup have created the NCERT Solutions after extensive search on each topic Students can refer to this study study material to boost their confidence and attempt the second term exam smartly. The concepts are explained with steps, shortcuts to remember formula , tips and tricks to solve the numerical problems wisely and quickly.
Q1. Is zero a rational number ? Can you write in the form p/q where p and q are integer and q ≠ 0 ?
Solution:-
Case of ‘0’
Zero can be written in the form of 0/1 , 0/2 , 0/3 … as well , 0/1 , 0/2 , 0/3..
Since it satisfies the necessary condition , we can conclude that 0 can be written in the p/q form , where q can either be positive or negative number.
Hence , 0 is a rational number.
Q2. Find six rational number between 3 and 4.
Solution:-
There are infinite rational numbers between 3 and 4.
As we have to find 6 rational numbers between 3 and 4 we will multiply both the numbers 3 , and 4 with 6 + 1 = 7 ( or any number greater than 6)
3 x (7/7) = 21/7
And , 4 x (7/7) = 28/7 The number in between 21/7 and 28/7 will be rational and will fall between 3 and 4.
Hence , 22/7 , 23/7 , 24/7 , 25/7 , 26/7 , 27/7 are the 6 rational number between 3 and 4.
Q3. Find five rational numbers between 3/5 and 4/5.
Solution:-
These are infinite numbers between 3/5 and 4/5 .
(3/5) x (6/6) = 18/30
(4/5) x (6/6) = 24/30
The numbers in between 18/30 ad 24/30 will be rational will fall between 3/5 and 4/5.
Hence 19/30 , 20/30 , 21/30 , 22/30 , 23/30 are the 5 rational numbers between 3/5 and 4/5.
Q4. State whether the following statements are true or false. Give reason for your answers.
- Every natural number is a whole number.
Solution:-
True.
- Every integer is a whole number.
Solution:-
False
- Every rational number is a whole number.
Solution:-
False