Question

Which shows the best use of the associative and commutative properties to

make simplifying - 17+6 - +1 easier?
A. [ { +(-)] + [6+1+(-17)]
B. [1+ y +(-17)] + [(-) + 6)
C. [+6+ (-17)] + [1 +(-]
D. (1 + (-17)] + [6+(-) +1]

Answer 1

C. [+6+ (-17)] + [1 +(-]. The best use of the associative and commutative properties to simplify -17 + 6 - 1 is option C. [+6 + (-17)] + [1 + (-)].

Step-by-step explanation:

The best use of the associative and commutative properties to simplify -17 + 6 - 1 is option C. [+6 + (-17)] + [1 + (-)].

The associative property allows us to group the numbers in any order while the commutative property states that the order of addition does not matter. By rearranging the addition and groupings, we can make the simplification easier.

Step-by-step:

1. Rearrange the numbers using the commutative property: [6 + (-17)] + [1 + (-)].

2. Apply the associative property to group the numbers as follows: [+6 + (-17)] + [1 + (-)].

3. Finally, simplify each grouping to get the answer.