Changing the order of addends does not change the sum.
a+b=b+a
Associative Property of Addition
Changing the grouping of addends does not change the sum.
(a+b)+c=a+(b+c)
We want to find the given expression using mental math.
8 12+[4 110+(-8 12)]
We can use the Commutative Property of Addition to change the order of the terms in the parentheses. Then, using the Associative Property of Addition, we can group 8 12 and -8 12 because they are additive inverses of each other. The sum of a number and its additive inverse is always 0. This means that our sum simplifies to 4 110.
[8 12+(-8 12)]_0+4 110
Thanks to the Commutative and Associative Properties of Addition we were able to evaluate the given expression. Let's check our solution and see the solution process step by step!
