Which of the following correctly demonstrates the Associative Property of Addition? (1 point)
Responses
(a+b)+c=(b+a)+c
open paren A plus b close paren plus c is equal to open paren b plus A close paren plus c
(a+b)+c=(a+c)+b
open paren A plus b close paren plus c is equal to open paren A plus c close paren plus b
(a+b)+c=a+(b+c)
open paren A plus b close paren plus c is equal to A plus open paren b plus c close paren
(a+b)+c=a+(c+b)
open paren A plus b close paren plus c is equal to A plus open paren c plus b close paren
The correct demonstration of the Associative Property of Addition is:
(a+b)+c = a+(b+c)
(openparen A plus b closeparen plus c) is equal to A plus openparen b plus c closeparen.
The correct demonstration of the Associative Property of Addition is:
(a + b) + c = a + (b + c)
This equation states that when adding three numbers, the order in which we group them does not affect the sum. In other words, we can change the grouping of the numbers and still get the same result.
To understand why this is true, let's break down the explanation step by step.
1. Start with the expression (a + b) + c. This means we are adding 'a' and 'b' first, and then adding the result to 'c'.
2. Next, we can evaluate the expression by adding 'a' and 'b' together, which gives us 'a + b'. Now we have 'a + b + c'.
3. Finally, we add 'c' to the result of 'a + b', giving us the final sum of a + (b + c).
Therefore, the correct option demonstrating the Associative Property of Addition is:
(a + b) + c = a + (b + c)