Concept:The associative property of addition deals with grouping of addends without changing the result.
Explanation:In the given equation,
(6+x)+5=6+(x+5), only the grouping of the numbers and variable is changed.
On the left side,
6 and
x are grouped first:
(6+x)+5.
On the right side,
x and
5 are grouped first:
6+(x+5).
The order of the terms remains exactly the same:
6,
x, and
5.
Since only the parentheses shift position, this is a property of grouping, not order.
Changing the order of addends would look like
a+b=b+a, which is the commutative property.
Here, no terms are rearranged; therefore, the commutative property does not apply.
The associative property states that
(a+b)+c=a+(b+c) for any values of
a,
b, and
c.
Taking
a=6,
b=x, and
c=5 confirms that the given equation matches the associative property exactly.
Answer:B. Associative property.