10 - -12- - -12- - -30- - - nbsp-240462240-462

The correct option is C 240a× b + a× c = a× (b + c) (Distributive property of multiplication over addition) ⇒ 10 × (–12) + (–12) × (–30) = ( 12)× (10 + ( 30)) ...

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Standard VII

Mathematics

Properties of Multiplication under Integers

10 × (–12) + ...

Question

10 × (–12) + (–12) × (–30) = ?

240

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462

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-462

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Solution

The correct option is A 240
$a \times b + a \times c = a \times (b + c)$
(Distributive property of multiplication over addition)

$\Rightarrow$ 10 × (–12) + (–12) × (–30)
= $(- 12) \times (10 + (- 30))$
= $(- 12) \times (10 - 30)$
= $(- 12) \times (- 20)$
= 240

(When two negative integers are multiplied, the product is always positive)

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10 × (–12) + (–12) × (–30) = ?

The correct option is A 240a×b+a×c=a×(b+c) (Distributive property of multiplication over addition) ⇒ 10 × (–12) + (–12) × (–30) = (−12)×(10+(−30)) = (−12)×(10−30) = (−12)×(−20) = 240 (When two negative integers are multiplied, the product is always positive)