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

Given: 

Every integer is a rational number.

To find: 

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

Solution: 

Integers:

Integers are like whole numbers, but they also include negative numbers.

• It includes negative numbers $(-1, -2, -3, -4, ………)$

• It includes positive numbers $(1, 2, 3, 4, 5, ………)$

• It includes Zero

• Decimal number and fractions are not included in integers.

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.

Every integer, say $k$ can be written as $\frac{k}{1}$.

Therefore, every integer is a rational number.

The given statement is true.

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Updated on: 10-Oct-2022

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