Fill in the blanks and state the property used:
`36+"______"=36`

Options

A. `0`; additive identity
B. `1`; multiplicative identity
C. `0`; multiplicative identity
D. `1`; additive identity

Answer

To solve the question, we need to fill in the blank in the equation \( 36 + "______" = 36 \).

### Step-by-Step Solution:

1. **Identify the equation**: We have \( 36 + "______" = 36 \).

2. **Determine what can be added to 36 to keep it the same**: We need to find a number that, when added to 36, will still equal 36.

3. **Consider the number 0**: The only number that can be added to any number without changing its value is 0.

4. **Fill in the blank**: Therefore, we can fill in the blank with 0. The equation now reads \( 36 + 0 = 36 \).

5. **State the property used**: The property used here is called the **Additive Identity Property**, which states that adding 0 to any number does not change the value of that number.

### Final Answer:
The filled blank is **0** and the property used is the **Additive Identity Property**.

---