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Question
Find the following products, using distributive laws:
2437 × 999
Solution
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 × 999
= 2437 × (1000 − 1)
= 2437 × 1000 − 2437 × 1
= 2437000 − 2437
= 2434563
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