In standard form, the number `4324009000` is expressed as `k xx 10 ^(n).` The value of (n -k) is

Options

A. `4. 675991 `
B. `2.324009`
C. `-1.675991 `
D. `-2.324009`

Answer

To express the number \( 4324009000 \) in standard form, we follow these steps:

### Step 1: Identify the number
We start with the number:
\[ 4324009000 \]

### Step 2: Move the decimal point
To express this number in standard form \( k \times 10^n \), we need to move the decimal point to the left until we have a number between 1 and 10.

Moving the decimal point 9 places to the left gives us:
\[ 4.324009000 \]

### Step 3: Determine the exponent
Since we moved the decimal point 9 places to the left, we can express the number as:
\[ 4.324009000 \times 10^9 \]

### Step 4: Identify \( k \) and \( n \)
From the standard form \( k \times 10^n \):
- \( k = 4.324009000 \)
- \( n = 9 \)

### Step 5: Calculate \( n - k \)
Now, we need to find the value of \( n - k \):
\[ n - k = 9 - 4.324009000 \]
Calculating this gives:
\[ n - k = 4.675991 \]

### Final Answer
Thus, the value of \( n - k \) is:
\[ \boxed{4.675991} \]

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