evaluate the following using the properties of addition of rational numbers (a) -2/3 + 1/2 + -7/9 + 7/8
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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
−3
=−
5
3
and
−15
−2
=
15
2
∴
5
−3
+
−15
−2
=−
5
3
+
15
2
=−
5×3
3×3
+
15×1
2×1
=−
15
9
+
15
2
=
15
−9+2
=−
15
7
And,
−15
−2
+
5
−3
=
15
2
−
5
3
=
15×1
2×1
−
5×3
3×3
=
15
2
−
15
9
=
15
2−9
=−
15
7
∴
5
−3
+
−15
−2
=
−15
−2
+
5
−3
Hence verified.
Step-by-step explanation:
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