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State whether the following statement is true or false? Give reasons for your answer.
Every rational number is an integer.___
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## QuestionMathsClass 9

State whether the following statement is true or false? Give reasons for your answer.
Every rational number is an integer.___

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## Solution

A number that can be represented in the form $$\frac pq$$, where $$p,q$$ are integers and $$q\ne 0$$ is called a rational number.
All the integers can be represented in the form of $$\frac p1$$ where $$p$$ is an integer and $$q=1$$.
So, all the integers are rational numbers.
But all the rational numbers are not integers.
For example: $$\frac12$$ is a rational number but it is not an integer.
Hence, the given statement is false.