Let's simplify the given expression step by step.
The expression is:
\[ (12 \times 10^2) - (17 \times 10^2) + (8 \times 10^5) \]
- Simplify the first part:
\[ (12 \times 10^2) - (17 \times 10^2) = (12 - 17) \times 10^2 = -5 \times 10^2 \]
- Now, let's add this to \(8 \times 10^5\):
\[ -5 \times 10^2 + 8 \times 10^5 \]
To combine these two terms, we can express \(-5 \times 10^2\) in terms of \(10^5\).
\[ -5 \times 10^2 = -5 \times 10^2 \times \frac{1000}{1000} = -5 \times 10^5 \times 10^{-3} = -0.005 \times 10^5 \]
Now we can combine:
\[ -5 \times 10^5 \times 10^{-3} + 8 \times 10^5 = (8 - 0.005) \times 10^5 = 7.995 \times 10^5 \]
However, let's check if we can represent this in scientific notation or if any of the available choices is equivalent.
Converting \(7.995 \times 10^5\) doesn't seem to match any of the given options directly. Let's simplify and break down \(7.995 \times 10^5\) again:
The choices given are:
A) \(6.25 \times 10^{-4}\)
B) \(6.25 \times 10^{-1}\)
C) \(6.25 \times 10^5\)
D) \(6.25 \times 10^4\)
None of these choices directly equal \(7.995 \times 10^5\).
Let's analyze the \(6.25\) multiplier.
The closest relationship we can develop is with \(C\).
Dividing \(7.995\) by \(6.25\):
- Check \(7.995 / 6.25 \approx 1.278\), not a simple whole number.
Out of the four choices, C appears to present the appropriate term format with respect to a possible scientific representation of a number in the relationship around that magnitude.
Normally, if referring to the options, C '6.25 × 10^5’ would be the best plausible answer in the context, while keeping a note that \(7.995\) can also represent different formatting variations.