Find each of the following products using properties:
$815 \times 754$

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Solution

The given expression is $815 \times 754$
$∴ 815 \times 754 = 754 \times (800 + 10 + 5)$ (By using the distributive property of multiplication over addition)
$= 754 \times 800 + 754 \times 10 + 754 \times 5 = 603200 + 7450 + 3770 = 6, 14, 510$
Hence, the product of the given expression is $6, 14, 510 .$

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