Listen NCERT Audio Books to boost your productivity and retention power by 2X.
Verify associativity of addition of rational numbers i.e., when:
(i)
(ii)
(iii)
(iv)
(i) In order to verify this property, let us consider the following expressions:
Verification: + [
+ (-
)] =
+ [
-
]
= +
=
=
And,
( +
) + (
) = (
+
) -
= -
=
=
Therefore,
The associative property of additional of rational numbers has been verified
(ii) In order to verify this property, let us consider the following expressions:
Verification: + [
+ (-
)] =
+ [
-
]
= +
=
=
And,
( +
) + (
) = (
+
) -
= -
=
=
Therefore,
The associative property of additional of rational numbers has been verified
(iii) In order to verify this property, let us consider the following expressions:
Verification: + [
+ (-
)] =
+ [
-
]
= -
=
=
And,
(- +
) + (
) = (
-
) -
= -
=
=
Therefore,
The associative property of additional of rational numbers has been verified
(iv) In order to verify this property, let us consider the following expressions:
Verification: -2 + [ + (-
)] = -2 + [
-
]
= -2 -
=
=
And,
(-2 +) + (
) = (
+
) -
= -
=
=
Therefore,
The associative property of additional of rational numbers has been verified