Verify that (a+b)+c.=a+b+c) by taking:-
(1) a=-2,b=-2/3 c= -3/4
(2) a-12, b-9/11, c= 7/-12
step by step explanation .
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Answer:
HERE YOUR ANSWER
Step-by-step explanation:
Given: a= -12,
b= -9/11,
c= 7/-12
To Prove: (a+b)+c = a+(b+c)
Proof:
Here,
(a+b)+c
{(-12) + (-9/11)} + (- 7/12)
{(-12) - 9/11} - 7/12
(-12 - 9/11) - 7/12
(- 12 * 11 - 9/11) - 7/12
(- 132 -9/11) - 7/12
(- 141/11) - 7/12
- 141/11 - 7/12
- 141 * 12 - 7 * 11/11 * 12
-1692 - 77/132
- 1769/132
Now,
a+(b+c)
(- 12) + {(- 9/11) + (- 7/12)}
(- 12) + (- 9/11 - 7/12)
(- 12) - 9/11 - 7/12)
(- 12) - 9 * 12 - 7 * 11/11 * 12
(- 12) - 108 - 77/132
(- 12) - 185/132
- 12 - 185/132
(- 12) * (132) - 185/132
- 1584 - 185/132
- 1769/132
here,
(a+b)+c = (- 1769/132)
a+(b+c) = (- 1769/132)
So,
(a+b)+c = a+(b+c)
HENCE VERIFIED
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