Which equation exemplifies the Associative Property of Addition?
(1 point)
Responses
8 plus 2 equals 2 plus 8
Image with alt text: 8 plus 2 equals 2 plus 8
4 plus left parenthesis 2 plus 1 right parenthesis equals left parenthesis 4 plus 2 right parenthesis plus 1
Image with alt text: 4 plus left parenthesis 2 plus 1 right parenthesis equals left parenthesis 4 plus 2 right parenthesis plus 1
4 plus 5 equals 1 plus 8
Image with alt text: 4 plus 5 equals 1 plus 8
9 left parenthesis 5 times 6 right parenthesis equals left parenthesis 9 times 5 right parenthesis 6
Image with alt text: 9 left parenthesis 5 times 6 right parenthesis equals left parenthesis 9 times 5 right parenthesis 6
The equation that exemplifies the Associative Property of Addition is:
4 plus (2 plus 1) equals (4 plus 2) plus 1.
The equation that exemplifies the Associative Property of Addition is:
4 plus (2 plus 1) equals (4 plus 2) plus 1
To understand why this equation represents the Associative Property of Addition, let's break it down:
The Associative Property of Addition states that the grouping of numbers being added does not affect the sum.
In this equation, we have three numbers being added: 4, 2, and 1. By using parentheses to group the numbers differently, we can see that the sum remains the same:
First, let's evaluate the left side of the equation: 4 plus (2 plus 1)
The inner parentheses indicate that we should first add 2 and 1, which gives us 3. So the left side becomes: 4 plus 3
Now, let's evaluate the right side of the equation: (4 plus 2) plus 1
The inner parentheses indicate that we should first add 4 and 2, which gives us 6. So the right side becomes: 6 plus 1
No matter how we group the numbers, the result is always the same:
4 plus (2 plus 1) = 4 plus 3 = 7
and
(4 plus 2) plus 1 = 6 plus 1 = 7
Therefore, the equation 4 plus (2 plus 1) equals (4 plus 2) plus 1 exemplifies the Associative Property of Addition.