Which equation exemplifies the Associative Property of Addition?
(1 point)
Responses
7 + 3 + 1 = 1 + 3 + 7
7 + 3 + 1 = 1 + 3 + 7
7 plus left parenthesis 3 plus 1 right parenthesis equals left parenthesis 3 plus 1 right parenthesis plus 7
Image with alt text: 7 plus left parenthesis 3 plus 1 right parenthesis equals left parenthesis 3 plus 1 right parenthesis plus 7
7 plus left parenthesis 3 plus 1 right parenthesis equals 7 plus left parenthesis 1 plus 3 right parenthesis
Image with alt text: 7 plus left parenthesis 3 plus 1 right parenthesis equals 7 plus left parenthesis 1 plus 3 right parenthesis
7 plus left parenthesis 3 plus 1 right parenthesis equals left parenthesis 7 plus 3 right parenthesis plus 1
The equation that exemplifies the Associative Property of Addition is:
7 + (3 + 1) = (7 + 3) + 1
The equation that exemplifies the Associative Property of Addition is: 7 + (3 + 1) = (7 + 3) + 1.
The equation that exemplifies the Associative Property of Addition is:
7 + (3 + 1) = (7 + 3) + 1
To understand why this equation represents the Associative Property, let's break it down:
1. The Associative Property of Addition states that the grouping of numbers being added does not affect the sum.
2. In this equation, we have three numbers: 7, 3, and 1.
3. The equation demonstrates that no matter how we group these numbers, the sum will remain the same.
4. We can group (3 + 1) first, adding them together to get 4. Then we add 7 to 4, resulting in 11.
5. Alternatively, we can group (7 + 3) first, adding them together to get 10. Then we add 1 to 10, again resulting in 11.
6. Both calculations yield the same sum (11), demonstrating the Associative Property of Addition.
Therefore, the equation 7 + (3 + 1) = (7 + 3) + 1 exemplifies the Associative Property of Addition.