Bot GPT 4-o mini The Associative Property refers to the way numbers are grouped in addition or multiplication without changing the result. This property states that when adding or multiplying, the way in which the numbers are grouped does not affect the final sum or product.
The Associative Property can be illustrated as follows:
- For addition: (a + b) + c = a + (b + c)
- For multiplication: (a * b) * c = a * (b * c)
Now let's evaluate each option:
A. (95)(8*3) - This expression involves multiplication, and although it can be rearranged, it is not a clear application of the Associative Property since you would generally rearrange it differently to use the property.
B. (9*5)+8+3 - This expression includes both multiplication and addition. The Associative Property applies to addition, so you can group the additions, but that’s not the primary operation in the format given.
C. (5*8)+3 - This is a mix of multiplication and addition, but it cannot be simplified through the Associative Property directly.
D. (5+8)*3 - In this case, the Associative Property of multiplication could be applied since we can regroup the addition part 5 + 8 without changing its value—however, the multiplication isn't being used in a clear associative format here.
Upon consideration, none of the options perfectly exemplify an explicit application of the Associative Property. However, if one were to select where regrouping could naturally occur, B could arguably be expressed with the Associative property through the addition grouping (e.g. (9*5) + (8 + 3)), but it's still not a straightforward example of the property itself.
To sum up, while some expressions can be manipulated, none explicitly showcases a clear application of the Associative Property in its standard form regarding grouping alone. Further context or rephrasing might be necessary for clearer examples. However, for addition:
The best option for using the Associative Property would be B if we focused on addition.
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