Q71. - Algebra 2

Question

Determine whether each statement is true or false. If false, give a counter example.

 

Every rational number is an integer. 

Step-by-Step Solution

Answer

The statement is False.

Step 1- Apply the concept of integer.

An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.

Step 2- Step description.

A rational number is a number that is of the form $\frac{p}{q}$ where $p$ and $q$ are integer and $q$ is not equal to 0, therefore every rational number is an integer.

Step 3- Step description.

Every integer is a rational number but the converse is not true. For example, $\frac{3}{5}$ is a rational number, but it does not represent an integer.

 

Therefore, the statement is false.