Question

is the difference of two rational number a rational number? Justify your answer with an example

Answer 1

yes.
eg. 4/2-4/4=2/2, which is 1.
1 can also be written as 1/1, which is a rational number.hope u got it! pls mark as brainliest

Answer 2

Claim :- The difference between 2 rational number is always a rational number.

Proof :- You have a/ b - c/ d with a, b , c, d being integers and b, d not equal to 0 .

Then a/ b - c/ d ----> ad/ bd - bc/ bd --->
( ad- bc) / bd

Since ad , bc and bd are integers since integers are closed under the operation of the multiplication and ad- bc is an integer , since integers are closed under the operation of the subtraction , then( ad- bc ) / bd is a rational number since it is in the form of 1 integer divuded by another and the denominator is not equal to 0 , since b and d are not equal to 0
Thus a/ b - c/ d us a rational number

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