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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 +
+
+
-
+
+
+
=
+
-
= +
-
= -
= –
= -
=