In the set of all rational numbers, give 2 examples each illustrating the following properties:

(i) associativity; (ii) commutativity; (iii) distributivity of multiplication over addition.

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Solution

(i) The examples for associative property for rational number are listed below.

For addition:

For multiplication:

(ii) The examples for commutative property for rational number are listed below.

For addition:

For multiplication:

(iii) The examples for distributivity of multiplication over addition for rational numbers are listed below.

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Similar questions

If a property holds for rational numbers, will it also hold for whole numbers? Explain in details.

Which of the following is an example of distributive property of multiplication over addition for rational numbers?

If a property hold for rational numbers, will it also hold for integers? Explain in details.

	Column-I		Column-II
(i)	a + b = b + a	(a)	Distributivity of multiplication
(ii)	(a + b) + c = a + (b + c)	(b)	Commutativity under addition
(iii)	a x (b + c) = a x b + a x c	(c)	Associativity of addition
		(d)	Commutativity under multiplication

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