In standard form, the number 7324009000 is expressed as `k xx 10^(n)`. The value of (n-k) is

Options

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

Answer

To express the number 7324009000 in standard form and find the value of (n - k), we can follow these steps:

### Step 1: Write the number in standard form
The standard form of a number is expressed as \( k \times 10^n \), where \( k \) is a number between 1 and 10, and \( n \) is an integer.

To convert 7324009000 into standard form, we first identify where to place the decimal point. We need to move the decimal point to the left until we have only one non-zero digit to the left of the decimal.

**Calculation:**
- The number is 7324009000.
- Move the decimal point 9 places to the left to get 7.324009000.

Thus, we can express 7324009000 as:
\[ 7.324009000 \times 10^9 \]

### Step 2: Identify the values of k and n
From the standard form \( k \times 10^n \):
- \( k = 7.324009000 \)
- \( n = 9 \)

### Step 3: Calculate (n - k)
Now we need to find the value of \( n - k \):
\[ n - k = 9 - 7.324009000 \]

**Calculation:**
\[ n - k = 9 - 7.324009000 = 1.675991 \]

### Final Answer
The value of \( n - k \) is \( 1.675991 \).

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