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Polynomials
Is zero a rational number? Can you write it in the form 
where p and q are integers and q ≠ 0?
Yes! zero is a rational number. We can write zero in the form 
where p and q are integers and q ≠ 0 as follows: 
Note. Denominator q can also be taken as negative integer.
Find six rational numbers between 3 and 4.
There can be infinitely many rational numbers between 3 and 4.
Thus, six ratonal numbers between 3 and 4 are 
.
Alter 
Thus, six rational numbers between 3 and 4 can be taken as 
Note. This is known as the method of finding rational numbers in one step.
Find five rational numbers between 
Therefore, five rational numbers between 
can be taken as 
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.
(i) True, since the collection of whole numbers contains all natural numbers.
(ii) False, for example, - 2 is an integer but not a whole number.
(iii) False, for example, 
is a rational number but not a whole number.
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Mock Test Series
Mock Test Series