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

	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

Match the following:

(i) 425 × 136 = 425 × (6 + 30 + 100)

(a) Commutativity under multiplication

(ii) 2 × 49 × 50 = 2 × 50 × 49

(b) Commutativity under addition

(iii) 80 + 2005 + 20 = 80 + 20 + 2005

Check the following rational numbers for distributive property of multiplication over addition

$\frac{1}{4}, \frac{1}{3}$ and $\frac{3}{2}$

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