To multiply the decimals \(9.8719\) and \(3.44\), you can follow these steps:
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Ignore the decimal points and multiply the numbers as if they were whole numbers: \[ 98719 \times 344 \]
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Perform the multiplication: \[ 98719 \times 344 = 33991856 \]
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Count the total number of decimal places in the original numbers. \(9.8719\) has 4 decimal places and \(3.44\) has 2 decimal places. In total, there are: \[ 4 + 2 = 6 \text{ decimal places} \]
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Place the decimal point in the product by moving it 6 places from the right: \[ 33991856 \rightarrow 33.991856 \]
Thus, the result of multiplying \(9.8719\) and \(3.44\) is: \[ \boxed{33.991856} \]
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