given that a=(-10),b=7 and c=(-3), verify that addition is communicative and associative. Also show that subtraction is neither communicative nor associative.
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Step-by-step explanation:
Given that
A= -10
B = 7
C = -3
Addition is commutative
A+B =B + A
-10 + 7= 7-10
-3 = -3
Addition in Association
(A+B )+C = A + (B+C)
(-10+7)-3 = -10+(7-3)
-3 -3 =-10+4
-6 = -6
Subtraction in commutative
A - B = B - A
-10-7 = 7 - (-10)
-17 = 7+10
-17 not equal to 17
Subtraction in Association
(A-B)-C = A - (B- C)
(-10-7)- -3 = -10-(7 - -3)
-17+3. = -10-(7+3)
-14 = -10-10
-14 = -20
,not equal
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