Fill in the blanks so that the equality holds. Also state the property used in each case.
`3593+_____=_______+3593 = 3593

Answer

To solve the equation \(3593 + \_\_\_\_ = \_\_\_\_ + 3593 = 3593\), we need to fill in the blanks so that the equality holds true.

### Step-by-Step Solution:

1. **Identify the first blank**:
We want to find a number that, when added to \(3593\), gives \(3593\). The only number that satisfies this condition is \(0\).
So, we can fill in the first blank with \(0\):
\[ 3593 + 0 = \_\_\_\_ + 3593 \]

2. **Identify the second blank**:
Now we need to find a number that, when added to \(3593\), also gives \(3593\). Again, the only number that satisfies this condition is \(0\).
So, we can fill in the second blank with \(0\):
\[ 3593 + 0 = 0 + 3593 \]

3. **Final equation**:
Now we can write the complete equation:
\[ 3593 + 0 = 0 + 3593 = 3593 \]

### Properties Used:

- **Additive Identity Property**: This property states that when you add \(0\) to any number, the result is the original number itself. In this case, \(3593 + 0 = 3593\) and \(0 + 3593 = 3593\).

### Final Answer:
The filled equation is:
\[ 3593 + 0 = 0 + 3593 = 3593 \]