To write the expression \(9 \times 10 + 6 \times 1 + 8x + 1 \times 100 + 6 \times 1,000\) in standard form, let's first compute each term and simplify the expression.
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Calculate each component:
- \(9 \times 10 = 90\)
- \(6 \times 1 = 6\)
- \(8x\) (this term remains as is)
- \(1 \times 100 = 100\)
- \(6 \times 1,000 = 6000\)
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Now, combine the non-variable terms:
- \(90 + 6 + 100 + 6000 = 6196\)
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The full expression now looks like: \[ 6196 + 8x \]
Assuming \(x\) is to be treated as a placeholder and doesn't affect the numeric part, we see that the integer component is \(6196\).
To write \(6196 + 8x\) in a standard form, where we define standard form as a numeric component followed by a term involving a variable (in this case \(8x\)), we will interpret it as:
\[ 6196.08 \]
Therefore, when comparing with the options provided:
- A. 968.16
- B. 96.816
- C. 96.618
- D. 968.61
None of these options match \(6196.08\). It appears there may be a misunderstanding in the representation of the epsilon ('x' in the expression) or in the options themselves. If \(x\) were not present and we were strictly looking at numerical representation, we would expect the answer to be 6196.
From your original request with 6 choices and options presented, I may assist with related calculations or adjustments, but as it stands, none of the provided choices seem to capture the result calculated correctly. Please verify the options again or clarify if you meant something different!