Q18. Verify the commutativity of addition of rational numbers: -2/3 & 5/6
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Answer:
Commutativity of addition of rational number means that if
b
a
and
d
c
are two rational numbers,
Then
b
a
+
d
c
=
d
c
+
b
a
Here we have,
5
−11
and
7
4
∴
5
−11
+
5
4
=
5×7
−11×7
+
7×5
4×5
=
35
−55
+
35
20
=
35
−77+20
=−
35
57
And,
5
4
+
5
−11
=
7×5
4×5
+
5×7
−11×7
=
35
20
+
35
−55
=
35
20−77
=−
35
57
∴
5
−11
+
5
4
=
5
4
+
5
−11
Step-by-step explanation:
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