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In standard form, 374748115 is expressed...

In standard form, 374748115 is expressed as `k xx 10^(n)`. Then, the value of (n - k) is

A

`-4.25251885`

B

`3.70727512`

C

`-3.70727512`

D

`4.25251885`

Text Solution

AI Generated Solution

The correct Answer is:
To express the number 374748115 in standard form as \( k \times 10^n \), we will follow these steps: ### Step 1: Identify the value of \( k \) To convert the number into standard form, we need to place the decimal point after the first non-zero digit. For the number 374748115, we move the decimal point to get: \[ k = 3.74748115 \] ### Step 2: Determine the value of \( n \) Next, we count how many places we moved the decimal point to the left to convert the number into standard form. Starting from 374748115, we move the decimal point 8 places to the left: \[ n = 8 \] ### Step 3: Calculate \( n - k \) Now we need to find the value of \( n - k \): \[ n - k = 8 - 3.74748115 \] ### Step 4: Perform the subtraction Calculating \( 8 - 3.74748115 \): \[ n - k = 8 - 3.74748115 = 4.25251885 \] ### Final Answer Thus, the value of \( n - k \) is: \[ \boxed{4.25251885} \] ---
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