In standard form, the number 829030000 is expressed as`k xx 10^(n).` The value of (k + n) is

Options

A. `90.903`
B. `16.2903`
C. `15.2903`
D. `91.903`

Answer

To express the number 829030000 in standard form as \( k \times 10^n \), we follow these steps:

### Step 1: Identify the significant figures
The significant figures in the number 829030000 are 82903.

### Step 2: Convert to standard form
To convert to standard form, we need to express the number in the form \( k \times 10^n \) where \( k \) is a number between 1 and 10.

We can write:
\[ 829030000 = 8.2903 \times 10^8 \]
Here, we moved the decimal point 8 places to the left to convert 829030000 into 8.2903.

### Step 3: Identify the values of \( k \) and \( n \)
From the expression \( 8.2903 \times 10^8 \):
- \( k = 8.2903 \)
- \( n = 8 \)

### Step 4: Calculate \( k + n \)
Now, we need to find the value of \( k + n \):
\[ k + n = 8.2903 + 8 = 16.2903 \]

### Final Answer
The value of \( k + n \) is \( 16.2903 \).

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