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. $\left(abc\right)+d=a+\left(bcd\right)$

Answer 1

The correct option is C $(a+b)+c=a+(b+c)$

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 is added first.

For example:-

$\text{If}a=3,b=-1,c=5$

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

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

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