To multiply the decimals \(9.8710\) and \(3.44\), follow these steps:
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Ignore the decimals and multiply the numbers as if they were whole numbers: \[ 98710 \times 344 \]
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Perform the multiplication: \[ 98710 \times 344 = 33926840 \]
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Count the total number of decimal places in the original numbers:
- \(9.8710\) has 4 decimal places.
- \(3.44\) has 2 decimal places.
- Total: \(4 + 2 = 6\) decimal places.
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Place the decimal point in the product: Place the decimal point 6 places from the right in \(33926840\): \[ 33.926840 \]
Thus, the product of \(9.8710\) and \(3.44\) is \(\boxed{33.926840}\).
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