Which of the following best shows the associative property of addition?
a.4 + 5 = 9
b.(4 + 5) + 2 = 4 + (5 + 2)
c.4 + 5 + 2 = 2 + 5 + 4

Answer:

The answer is C: 4 + 5 + 2 = 2 + 5 + 4

Step-by-step explanation:

This is an example of the associative property of addition because the associative property of addition is described as any equation, that despite in what order your shift your equation to, the answer will stay the same. And as C shows, 4 + 5 + 2 will be rearranged to 2 + 5 + 4 and would still get the same answer, which would be 11.

The associative property of addition is represented by (4 + 5) + 2 = 4 + (5 + 2). The correct option is B.

Rearranging the parenthesis in an expression will not change the outcome since some binary operations in mathematics have associative features.

The associative property is shown by the expression (4 + 5) + 2 = 4 + (5 + 2).

Solving the right-hand side:-

(4 + 5) + 2 = 9 + 2

(4 + 5) + 2 = 11

Solving the left-hand side:-

4 + (5 + 2) = 4 + 7

4 + (5 + 2) = 11

Therefore, the associative property of addition is represented by (4 + 5) + 2 = 4 + (5 + 2). The correct option is B.

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