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Question

Is every quotient of integers a rational number? Explain your reasoning.


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Solution

1. A number that can be represented in the form of pq where p and q are integers and q=0 is said to be rational number.

2. Every integer can be represented in form pq where p and q are integers and q=0. So, every integer is a rational number.

3. Rational numbers are closed under division (as long as the denominator is not zero)

From the above three facts , we can conclude that every quotient of integers is a rational number.


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