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Properties of Multiplication of Integers

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Question

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(−37) × (−7) + (−37) × (−3) = ?

(a) 370
(b) −370
(c) 148
(d) −148

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Solution

(a) 370
We have:

(−37) × (−7) + (−37) × (−3)
= (−37) × {(−7) + (−3)} [Associative property]
= (−37) × (−10)
= 370

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