If `502034 = 500000 + n + 30 + 4`, then the value of `n` is ______ .

Options

A. 2
B. 20
C. 200
D. 2000

Answer

To find the value of \( n \) in the equation \( 502034 = 500000 + n + 30 + 4 \), we can follow these steps:

### Step 1: Combine the constants on the right side of the equation.
We start with the equation:
\[ 502034 = 500000 + n + 30 + 4 \]
First, we can add \( 30 \) and \( 4 \):
\[ 30 + 4 = 34 \]
So, we can rewrite the equation as:
\[ 502034 = 500000 + n + 34 \]

### Step 2: Isolate \( n \).
Next, we want to isolate \( n \) on one side of the equation. We can do this by subtracting \( 500000 \) and \( 34 \) from both sides:
\[ 502034 - 500000 - 34 = n \]

### Step 3: Perform the subtraction.
Now, we calculate the left side:
\[ 502034 - 500000 = 2034 \]
Then, we subtract \( 34 \):
\[ 2034 - 34 = 2000 \]
So, we have:
\[ n = 2000 \]

### Final Answer:
The value of \( n \) is \( 2000 \).

---