Verify that a÷(b+c)≠(a÷b)+(a÷c) for a=12, b= -4, c=2.
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Answer:
GIVEN:
a=12 b= -4 c= 2
TO PROOF :
a/(b+c) isn't equal to (a/b)+(a/c).
L.H.S.
= a÷(b+c)
= 12÷(-4 +2)
= 12÷ -2
= -6
R.H.S.
(a÷b)+(a÷c)
= (12÷ -4) +(12 ÷ 2)
= -6 + 6 = 0
Since L.H.S. isn't equal to R.H.S.
SO , IT'S PROVED THAT DIVISION OF INTEGER DOES NOT FOLLOW ASSOCIATIVE PROPERTY.
#HOPE IT WILL HELP YOU.
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