Question

2. Verify that a + (b + c) = (a + b)+c for each of the following:
(a) a= 10,b=-2, c = 3
(b) a=-5, b = 5, c= 11
(c) a=-100,b=-200,c=-300​

Answer 1

Answer:

a) 15=15

b) 21=21

c)600=600

Answer 2

Answer:

a) a=10,b=2,c=3

LHS RHS

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

=10+(2+3). =(10+2)+3

=10+5. =12+3

=15 =15

LHS=RHS

b) a=5,b=5,c=11

LHS RHS

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

= 5+(5+11) =(5+5)+11

= 5+16 =10+11

=21 =21

LHS=RHS

c) a=-100,b=-200,c=-300

LHS RHS

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

=. -100(-200+(-300) = (-100+(-200)+(-300)

=. -100+500 = 300+(-300)

=. 400 =0

LHS/RHS

This is the right answer.