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Ex 1.1 NCERT Solutions - Number System Class 9 Notes | EduRev

Class 9 Mathematics by VP Classes

Class 9 : Ex 1.1 NCERT Solutions - Number System Class 9 Notes | EduRev

The document Ex 1.1 NCERT Solutions - Number System Class 9 Notes | EduRev is a part of the Class 9 Course Class 9 Mathematics by VP Classes.

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Q.1. Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0?
Ans. Yes, zero is a rational number. We can write it in the form (p/q).

i.e
Ex 1.1 NCERT Solutions - Number System Class 9 Notes | EduRev

Q.2. Find six rational numbers between 3 and 4.
Ans. We know that there are an infinite number of rational numbers between two rational numbers. We will multiply both the numbers, 3 and 4, with 6+1=7 (or any number greater than 6). Therefore, six rational numbers between 3 and 4 can be:

Ex 1.1 NCERT Solutions - Number System Class 9 Notes | EduRev

∴ The numbers in between 21/7 and 28/7 will be rational and will fall between 3 and 4.

Ex 1.1 NCERT Solutions - Number System Class 9 Notes | EduRev

Q.3. Find five rational numbers between (3/5) and (4/5).
Ans. There are infinite rational numbers between (3/5) and (4/5).
To find out 5 rational numbers between (3/5) and (4/5), we will multiply both the numbers, (3/5) and (4/5), with 5+1=6 (or any number greater than 5)
Example:
Ex 1.1 NCERT Solutions - Number System Class 9 Notes | EduRev

Therefore, the numbers in between 18/30 and 24/30 will be rational and will fall between (3/5) and (4/5).
Hence,
Ex 1.1 NCERT Solutions - Number System Class 9 Notes | EduRev
are the 5 rational numbers between (3/5) and (4/5).

Q.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.
Ans.
(i) True: ( The collection of all natural numbers and 0 is called whole numbers)
(ii) False: ( Integers such as –1, –2 are non-whole numbers)
(iii) False: ( Rational number (1/2) is not a whole number)

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