Question
Find the following products, using distributive laws: $3576 \times 9$
✓
Answer
Distributive property of multiplication over addition states that $a(b + c) = ab + ac$
Distributive property of multiplication over subtraction states that $a(b - c) = ab - ac$
$3476 \times 9$
$= 3576 \times (10 - 1)$
$= 3576 \times 10 - 3576 \times 1$
$= 35760 - 3576$
$= 32184$
Distributive property of multiplication over subtraction states that $a(b - c) = ab - ac$
$3476 \times 9$
$= 3576 \times (10 - 1)$
$= 3576 \times 10 - 3576 \times 1$
$= 35760 - 3576$
$= 32184$
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