Question 53

State whether the given statement is True or False.

In a rational number, denominator always has to be a non-zero integer.

Open in App

Solution

True
The basic definition of the rational number is that it should be in the form of $\frac{p}{q}$ , where $q \neq 0.$
Becasue any number divided by zero is not defined.

Suggest Corrections

Similar questions

Question 60

State whether the given statement is True or False.

8 can be written as a rational number with any integer as denominator.

Question 55

State whether the given statement is True or False.

Sum of two rational numbers is always a rational number.

Question 51

State whether the given statement is True or False.

If $\frac{p}{q}$ is a rational number and m is a non-zero integer then $\frac{p}{q} = \frac{p \times m}{q \times m}$

Question 49

State whether the given statement is True or False.

Every integer is a rational number but every rational number need not be an integer.

Question 54

State whether the given statement is True or False.

If $\frac{p}{q}$ is a rational number and m is a non-zero integer, then $\frac{p \times m}{q \times m}$ is a rational number not equivalent to $\frac{p}{q}$ .

Join BYJU'S Learning Program

Explore more

Rational Numbers

Standard IX Mathematics

Join BYJU'S Learning Program

Question 53 State whether the given statement is True or False. In a rational number, denominator always has to be a non-zero integer.

True The basic definition of the rational number is that it should be in the form of pq, where q≠0. Becasue any number divided by zero is not defined.

Question 53

State whether the given statement is True or False.

In a rational number, denominator always has to be a non-zero integer.

True
The basic definition of the rational number is that it should be in the form of $\frac{p}{q}$ , where $q \neq 0.$
Becasue any number divided by zero is not defined.