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Which expression would be easier to simplify if you used the associative property to change the grouping?

a. (27 + 4.5) + 1.5
b. (3) + (-)
c. - + [(-) + (-3)]
d. 14 + (20 + 80)

1 Answer

5 votes

Final answer:

The expression d. 14 + (20 + 80) is more easily simplified using the associative property by changing the grouping to (14 + 20) + 80, resulting in a sum of 114, which is more than 100.

Step-by-step explanation:

The question asks which expression would be easier to simplify using the associative property to change the grouping. The associative property states that the way in which numbers are grouped in addition or multiplication does not change their sum or product respectively. For example, in addition, (a + b) + c = a + (b + c).

Among the options provided, the expression that benefits the most from the associative property is d. 14 + (20 + 80). By changing the grouping to (14 + 20) + 80, we can easily simplify the expression since 14 + 20 equals 34, and adding 80 gives us a sum of 114, which is more than 100.

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