Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:

(i)

(ii)

(iii)

(iv)

(i) Reaaranging and grouping the numbers in pairs in such a way that each group contains a pair of rational numbers with equal denominator

We have,

+ + +

- + - = +

= +

=

=

(ii) Reaaranging and grouping the numbers in pairs in such a way that each group contains a pair of rational numbers with equal denominator

We have,

+ + +

- + - = +

= +

= +

=

(iii) Reaaranging and grouping the numbers in pairs in such a way that each group contains a pair of rational numbers with equal denominator

We have,

+ + + +

+ + - - = + -

= + +

= + -

=

=

(iv) Reaaranging and grouping the numbers in pairs in such a way that each group contains a pair of rational numbers with equal denominator

We have,

+ 0 + + +

- + + + = + -

= + -

= -

= –

= -

=

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