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 evaluate the given expression. First, let's rewrite the subtractions as addition. Remember that subtracting a number is the same as adding its opposite.
-1 34 - ( - 8 13) -( - 4 14)=-1 34 + 8 13 + 4 14
Next, we can use the Commutative Property of Addition to change the order of the last two terms, -8 13 and 4 14.
-1 34+8 13+4 14 = -1 34+4 14+8 13
After this operation, we can add the first two fractions because they have the same denominator. Let's do this!
Finally, we can add the remaining fractions. We will start by rewriting the mixed number as fraction. Then we will rewrite both fractions so that they have a common denominator.
