Fill in the blanks.
(i) The number ___ is neither positive nor negative rational number.
(ii) There are _ number of rational numbers between two rational numbers.
(iii) A rational number is defined as a number which can be expressed in the form of $\frac{p}{q}$ , where p and q are __ and q is not equal to _

1, limited, Whole numbers, 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0, limited, integers, 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1, unlimited, Whole numbers, 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0, unlimited, integers, 0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is C 0, unlimited, integers, 0
i) $0$ is the neutral point on the number line, it is neither positive nor negative rational number

ii) Between two rational numbers, there are infinite/unlimited rational number.

iii) A rational number is defined as a number of the form $\frac{p}{q}$ where $p$ and $q$ are co-primes and integers and $q$ is not equal to $0$ because anything divided by $0$ is not defined.

Hence, the answer is 0, unlimited, integers, 0.

Suggest Corrections

Similar questions

Question 01

A rational number is defined as a number that can be expressed in the form $\frac{p}{q}$ , where p and q are integers and

(a) q = 0

(b) q = 1

(d) q $\neq$ 0

Question 1
A number which can be expressed as p/q, where p and q are integers and q ≠ 0 is:
(a) natural number.
(b) whole number.
(c) integer.
(d) rational number.

Q. Numbers that can be expressed as a ratio of

p

and

q

where,

p

and

q

are integers and

q \neq 0

are called

A rational number is defined as a number that can be expressed in the form p/q, where p and q are integers and-

In each of the following, fill in the blanks so as to make the statement true:

(i) A number which can be expressed in the form $p q$ , where $p$ and $q$ are integers and $q$ is not equal to zero, is called a .....

(ii) If the integers $p$ and $q$ have no common divisor other than 1 and $q$ is positive, then the rational number $p q$ is said to be in the ....

(iii) Two rational numbers are said to be equal, if they have the same .... form.

(vi) $\frac{a}{b} = \frac{a \div m}{b \div}$

(v) If $p$ and $q$ are positive integers, then $p q$ is a ..... rational number and $p - q$ is a ..... rational number.

(vi) The standard form of −1 is ...

(vii) If $p q$ is a rational number, then $q$ cannot be ....

(viii) Two rational numbers with different numerators are equal, if their numerators are in the same .... as their denominators.

Join BYJU'S Learning Program