PSEB Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.1
PSEB Solutions for Class 9 Maths Chapter 1 Number Systems Ex 1.1
PSEB 9th Class Maths Solutions Chapter 1 Number Systems Ex 1.1
Question 1.
Is zero a rational number? Can you write it in the form p/q, where p and q are integers and q ≠ 0?
Answer:
Yes. Zero is a rational number. Zero is a whole number as well as an Integer. As we know, all integers are rational numbers, zero is also a rational number.
Question 2.
Find six rational numbers between 3 and 4.
Answer:
Since six rational numbers are to be found. between rationals 3 and 4, we express both of them with denominator 7(6 + 1).
Question 4.
State whether the following statements are true or false. Give reasons for your answers :
(i) Every natural number is a whole number.
Answer:
The given statement is true as the collection of whole numbers contain all the natural numbers.
(ii) Every integer is a whole number.
Answer:
The given statement is false as any negative integer like – 2, – 3, – 5, etc. Is not a whole number. The collection of whole numbers contains 0 and all natural numbers, but not the opposites of the natural numbers.
(iii) Every rational number is a whole number.
Answer:
The given statement is false as any rational number lying between two consecutive whole numbers is not a whole number.
e.g., 5/2 is a rational number lying between whole numbers 2 and 3, but it is not a whole number.
Skill Testing Exercise
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