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Whole Numbers

Simplify 754 ...

Question

Simplify 754 $×$ 845 + 754 $×$ 155 by using distributivity of multiplication over addition.

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Solution

Distributive law of multiplication over addition: a (b + c) = a $×$ b + a $×$ c
∴ 754 $×$ 845 + 754 $×$ 155 = 754(845 + 155)
= 754 $×$ 1000
= 754000
Hence, 754 $×$ 845 + 754 $×$ 155 = 754000.

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