Fill in the blanks to make each of the following a true statement :
$684 \times 97 = 684 \times 100 -_____\times 3$

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Solution

According to the distributive property of multiplication over subtraction: $a \times (b - c) = a \times b - a \times c$ , we have
$684 \times 97 = 684 \times (100 - 3) = 684 \times 100 - 684 \times 3$

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