Question

Which of the following options demonstrate the associative property for integers?

• A. $\left(a\right)+\left(b\right)+\left(c\right)=a+b+c$
• B. $(a+b)+c=a+b+c$
• C. $(a+b)+c=a+(b+c)$
• D. $(a+b+c)+d=a+(b+c+d)$

Answer 1

Answer: (C), (D)

$(a+b+c)+d=a+(b+c+d)$

Associative property is represented by

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

It means that the result of the addition is always the same irrespective of which two or more than two numbers you add first.

$(a+b+c)+d=a+(b+c+d)$

For e.g. If $(a=3;b=-1;c=5)$

$(a+b)+c=(3+(-1\left)\right)+5=(3-1)+5=2+5=7$

$a+(b+c)=3+(-1+5)=3+4=7$

We got the same answer in both the cases.