Question
Find the following products, using distributive laws: $847 \times 99$
✓
Answer
Distributive property of multiplication over addition states that $a(b + c) = ab + ac$
Distributive property of multiplication over subtraction states that $a(b - c) = ab - ac$
$847 \times 99$
$= 847 \times (100 - 1)$
$= 847 \times 100 - 847 \times 1$
$= 84700 - 847$
$= 83853$
Distributive property of multiplication over subtraction states that $a(b - c) = ab - ac$
$847 \times 99$
$= 847 \times (100 - 1)$
$= 847 \times 100 - 847 \times 1$
$= 84700 - 847$
$= 83853$
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