Question

Given that a= (-10), b = 7 and ca (-3), verify
that addition is commutative and associate. Also
show that subtraction is neither commutative
nor associate,​

Answer 1

Answer:

a+b+c=b+a+c

-10+7+(-3) =7-10-3

-3-3=-3-3

-6=-6

Answer 2

Addition;
Is commutative,
a+b=b+a
-10+7=7-10
-3=-3.
Hence proved

Is associative,
a+(b+c)=(a+b)+c
-10+(7+3/10)=(-10+7)+3/10
-10+(73/10)=-3+3/10
-100+73/10=-30+3/10
-27/10=-27/10
Hence proved

In subtraction,
Is not associative,
a-b not=b-a
-10-7 not=7-(-10)
-17 not=17
Hence proved

Is not commutative
a-(b-c) not=(a-b)-c
-10-(7-3/10) not=(-10-7)-3/10
-10-67/10 not=-17-3/10
-100-67/10 not= -170-3/10
-167/10 not= -173/10
Hence proved