Question

If a= -11/27, b= 4/9. and c= -5/18, then verify that a+(b+c)=(a+b)+c.


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Answer 1

$\small\star\underline\bold\red{Given :-}$

a= -11/27

b= 4/9

c = -5/18

$<font color=blue>$

a+(b+c)=(a+b)+c

$\huge\fcolorbox{red}{white}{Answer}$

-11/27+(4/9-5/18)=(-11/27+4/9)-5/18

-11/27+(8-5/18)= (-11+22/27)-5/18

-11/27+3/18=(1/27)-5/18

-22+9/54=2-15/54

-13/54= -13/54

hence, it is VERIFY

Answer 2

Answer:

THIS PROPERTY IS CALLED ASSOCIATIVE PROPERTY UNDER ADDITION

VERIFICATION :

LHS

= a+(b+c)

= - 11/27 + [ 4/9 - 5/18]

= - 11/27 + 3/18

= (-22+9)/54

= - 13/54

RHS

= (a+b)+c

= ( - 11/27 + 4/9) + (-5/18)

= 1/27 - 5/18

= (2-15)/54

= - 13/54

Hence LHS = RHS

Hence verified

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