• Verify the associative property of addition for the given set of numbers
(b) 9. 5. 3
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Solution
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To prove
5
−2
+(
15
4
+
10
−7
)=(
5
−2
+
15
4
)+
10
−7
Taking LCM
2 15,10
3 15,5
5 5,5
1,1
LHS=
5
−2
+(
15
4
+
10
−7
)
TAking LCM LHS=
5
−2
+(
15×2
4×2
+
10×3
−7×3
)
5
−2
+(
30
8−21
)
RHS=
5
−2
=
5×6
−2×6
−
30
13
=
5×6
−2×6
(∵LCMof5and30=30)
RHS =(
5×3
−2×3
+
15×1
4×1
)+
10
−7
Taking LCM
3 5,15
5 5,5
1,1
Hence, the associative property for the addition of rational numbers is verified.
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