Fill in the blanks and state the property used.
`(65+15)+56="______"+(15+56)`

Options

A. `65`
Property used : Associative property
B. `65`
Property used : commutative property
C. `65`
Property used : distributive property
D. `69`
Property used : associative property

Answer

To solve the problem `(65 + 15) + 56 = "______" + (15 + 56)` and state the property used, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Expression**: We start with the expression `(65 + 15) + 56`. We need to find a value that can replace the blank in the equation.

2. **Apply the Associative Property of Addition**: The associative property states that when adding three or more numbers, the way in which the numbers are grouped does not change their sum. This means we can regroup the numbers in the expression.

3. **Rearranging the Expression**: According to the associative property, we can rearrange the expression as follows:
\[ (65 + 15) + 56 = 65 + (15 + 56) \]
Here, we have grouped `15` and `56` together.

4. **Fill in the Blank**: From the rearranged expression, we see that the left side `(65 + 15) + 56` corresponds to `65 + (15 + 56)`. Therefore, the blank can be filled with `65`.

5. **Final Statement**: Thus, we can write the complete equation as:
\[ (65 + 15) + 56 = 65 + (15 + 56) \]
The property used here is the **Associative Property of Addition**.

### Final Answer:
The filled blank is **65** and the property used is the **Associative Property of Addition**.