Let's break down the expression step by step:
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Calculate each term:
- \( 8 \times 1000 = 8000 \)
- \( 4 \times 100 = 400 \)
- \( 7 \times 10 = 70 \)
- \( 1 \times 1 = 1 \)
- \( 7 \times 10 = 70 \) (this appears again)
- \( 1 \times 1 = 1 \) (this appears again)
- \( 7 \times \frac{1}{10} = 0.7 \)
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Add up all the values: \[ 8000 + 400 + 70 + 1 + 70 + 1 + 0.7 \]
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Combine the numbers step by step:
- \( 8000 + 400 = 8400 \)
- \( 8400 + 70 = 8470 \)
- \( 8470 + 1 = 8471 \)
- \( 8471 + 70 = 8541 \)
- \( 8541 + 1 = 8542 \)
- \( 8542 + 0.7 = 8542.7 \)
The final result is:
\[ \boxed{8542.7} \]