Q.

Division of rational numbers is associative

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a

True

b

False

answer is B.

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Detailed Solution

As per the associative property: 

If A, B and C are rational numbers then the rule for the associative property of addition is: A+(B+C)=(A+B)+C and the rule for the associative property of multiplication is: A×(B×C)=(A×B)×C

The associative property does not apply to subtraction and division.

For example: A÷(B÷C)(A÷B)÷C

Let us consider three whole numbers A= 10, B=20 and C=5.

Now, 

10÷20÷5=10÷4=2.5

and 10÷20÷5=0.5÷5=0.1

Hence, the associative property does not apply to subtraction and division. So, the given statement is false.

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Division of rational numbers is associative