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Q.

State True/False.


The subtraction is commutative on rational numbers.


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a

True

b

False  

answer is B.

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Detailed Solution

Assume a b and c d be two rational numbers where a,b,c and d are integers and b,d≠0 .
The difference between them is given by,  a b − c d = ad−bc bd   c d − a b = bc−ad bd Now, ad−bc≠bc−ad .
So, a b − c d ≠ c d − a b Hence, subtraction is not commutative on rational numbers.
Thus, the given statement is false.
Therefore, option (2) is correct.
 
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