verify the associative law of addition for the following 1) 1 , 5/-11, 7/22
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Answers
Step-by-step explanation:
Given numbers are -10/11 , 5/6 and 4/3
To Verify the associative property for addition and multiplication of the rational numbers.
Associative Property for addition of the rational numbers is as follows
( a + b ) + c = a + ( b + c )
Associative Property for multiplication of the rational numbers is as follows
( a × b ) × c = a × ( b × c )
let a = -10/11 , b = 5/6 and c = 4/3
So, First Associative property of addition:
LHS = ( a + b ) + c = ( -10/11 + 5/6 ) + 4/3
=(\frac{-60+55}{66})+\frac{4}{3}=(
66
−60+55
)+
3
4
=\frac{-5}{66}+\frac{4}{3}=
66
−5
+
3
4
=\frac{-5+88}{66}=\frac{83}{66}=
66
−5+88
=
66
83
RHS = a + ( b + c ) = -10/11 + ( 5/6 + 4/3 )
=\frac{-10}{11}+(\frac{5+8}{6})=
11
−10
+(
6
5+8
)
=\frac{-10}{11}+\frac{13}{6}=
11
−10
+
6
13
=\frac{-60+143}{66}=\frac{83}{66}=
66
−60+143
=
66
83
LHS = RHS
Hence Verified
Answer:
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