Question

associative property of division of rational number​

Answer 1

Division is not associative for rational numbers

Let us see if 1/2÷[-1/3÷2/5]=[1/2÷(-1/2)]÷2/5

We have, LHS = 1/2÷(-1/3÷2/5)=1/2÷(-1/3×5/2)

= 1/2÷(-5/6)=....

RHS = [1/2÷(-1/3)]÷2/5

= (1/2×-3/1)÷2/5=-3/2÷2/5...

Check for yourself. you will find that division is not associative for rational numbers

Answer 2

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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Hope my answer helps you :)

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