Fill in the blanks so that the equality holds. Also state the property used in each case.
`2438+9834 = "__________"+2438`

Options

A. `9836`, addition is commutative for whole numbers
B. `2234`, addition is commutative for whole numbers
C. `9834`, addition is commutative for whole numbers
D. `9834`, addition is associative for whole numbers

Answer

To solve the equation \( 2438 + 9834 = "__________" + 2438 \), we need to fill in the blank with a number that keeps the equality true.

### Step-by-Step Solution:

1. **Identify the given numbers**: We have two numbers, \( 2438 \) and \( 9834 \).

2. **Understand the equation**: The equation states that the sum of \( 2438 \) and \( 9834 \) should equal the sum of some unknown number (let's call it \( x \)) and \( 2438 \). So we can rewrite the equation as:
\[ 2438 + 9834 = x + 2438 \]

3. **Isolate \( x \)**: To find \( x \), we can subtract \( 2438 \) from both sides of the equation:
\[ 9834 = x \]
This means that \( x \) must be equal to \( 9834 \).

4. **Fill in the blank**: Therefore, we can fill in the blank with \( 9834 \):
\[ 2438 + 9834 = 9834 + 2438 \]

5. **State the property used**: The property used here is the **Commutative Property of Addition**, which states that changing the order of the addends does not change the sum. In mathematical terms, \( a + b = b + a \).

### Final Answer:
The filled equation is:
\[ 2438 + 9834 = 9834 + 2438 \]