Which of the following correctly demonstrates the Associative Property of Addition? (1 point)
Responses
(a+b)+c=a+(b+c)
(
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
(
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=(b+a)+c
(
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)
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
(a+b)+c=a+(b+c)
This equation correctly demonstrates the Associative Property of Addition.
The correct expression that demonstrates the Associative Property of Addition is: (a + b) + c = a + (b + c).
To understand why this is the correct answer, let's break it down:
The Associative Property of Addition states that changing the grouping of the numbers being added does not change the sum. In other words, you can regroup the terms in any way you want without affecting the final result.
In this case, we have three numbers: a, b, and c. The expression (a + b) + c represents adding a to b first, and then adding the result to c. On the other hand, the expression a + (b + c) represents adding b to c first, and then adding the result to a.
According to the Associative Property of Addition, both of these expressions should yield the same result. This property allows us to rearrange the parentheses without altering the outcome.
Therefore, the correct expression that demonstrates the Associative Property of Addition is (a + b) + c = a + (b + c).