688
You visited us
688
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VIII
Mathematics
Commutative Property of Rational Numbers
Check the com...
Question
Check the commutative property of addition for
−
8
13
,
23
27
Open in App
Solution
We know that
the commutative property of Addition states that changing the order of addends does not change the sum. i.e., if
a
and
b
are two real numbers, then
a
+
b
=
b
+
a
.
Let
a
=
−
8
13
and
b
=
23
27
.
Let us first find
a
+
b
as follows:
a
+
b
=
−
8
13
+
23
27
=
−
8
×
27
13
×
27
+
23
×
13
27
×
13
=
−
216
351
+
299
351
=
83
351
.
.
.
.
.
.
.
.
(
1
)
Now, we find
b
+
a
as follows:
b
+
a
=
23
27
+
(
−
8
13
)
=
23
×
13
27
×
13
−
8
×
27
13
×
27
=
299
351
−
216
351
=
83
351
.
.
.
.
.
.
.
(
2
)
Since equation
(
1
)
is equal to equation
(
2
)
,
∴
a
+
b
=
b
+
a
i.e.
−
8
13
+
23
27
=
23
27
+
−
8
13
Hence, the given numbers
−
8
13
and
23
27
satisfies the commutative property of addition
.
Suggest Corrections
0
Similar questions
Q.
Check the commutative property of addition for
102
201
,
3
4
Q.
Check the commutative property of addition for the following pairs: