Are the following statements true or false?Give reason for your answer.Every rational number is a whole number.

Given: 

Every rational number is a whole number.

To find: 

We need to check whether the given statement is true or false.

Solution: 

Whole Numbers:

Whole numbers are 0, 1, 2, 3,......, and so on.

Rational Numbers:

A number that can be expressed in the form $\frac{p}{q}$ where p and q are integers and q is not equal to zero is a rational number.

Rational numbers like $\frac{5}{2}$, $\frac{-10}{3}$ are not whole numbers.

Therefore, every rational number is not a whole number. 

The given statement is false . 

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Updated on: 10-Oct-2022

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