Associative property of division of rational numbers
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if x and y are two rational no. such that y=0 then the result of dividing x and y is the rational no. obtained on multiplying x by the reciprocal of y
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Question :-
Discuss about the associative property of division of rational numbers.
Answer :-
Division is not associative on rational numbers.
That is, if a/b, c/d and e/f are three rational numbers such that c/d ≠ 0 and e/f ≠0 then a/b ÷ ( c/d ÷ e/f) ≠ (a/b ÷ c/d) ÷ e/f . Division of rational number lacks this property.
Know More :-
- Subtraction is not associative on rational numbers just like division.
- Addition and Multiplication is associative on rational numbers.
- Division lack the closure property and it is not commutative on rational numbers.
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