Question
Find the following products, using distributive laws: $ 2437 \times 999$
✓
Answer
Distributive property of multiplication over addition states that $a(b + c) = ab + ac$
Distributive property of multiplication over subtraction states that $a(b - c) = ab - ac$
$2437 \times 999$
$= 2437 \times (1000 - 1)$
$= 2437 \times 1000 - 2437 \times 1$
$= 2437000 - 2437$
$= 2434563$
Distributive property of multiplication over subtraction states that $a(b - c) = ab - ac$
$2437 \times 999$
$= 2437 \times (1000 - 1)$
$= 2437 \times 1000 - 2437 \times 1$
$= 2437000 - 2437$
$= 2434563$
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