To simplify the expression \(800 + 70 + 1 + 0.5 + 0.07 + 0.004\), we can add the numbers step by step:
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Add \(800\) and \(70\): \[ 800 + 70 = 870 \]
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Add \(1\): \[ 870 + 1 = 871 \]
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Add \(0.5\): \[ 871 + 0.5 = 871.5 \]
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Add \(0.07\): \[ 871.5 + 0.07 = 871.57 \]
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Finally, add \(0.004\): \[ 871.57 + 0.004 = 871.574 \]
So, the final result is \(871.574\).
Among the options provided, the equivalent expression is:
B. 871.574