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Question

Simplify using distributive property: 
$$24\times 3 + 7\times 24$$


A
240
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B
72
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C
24
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D
108
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Solution

The correct option is A $$240$$
The Distributive Property is easy to remember if you recall that "multiplication distributes over addition". 
Formally, they write this property as $$"a(b + c) = ab + ac".$$

The word "associative" comes from "associate" or "group"; the Associative Property is the rule that refers to grouping.
For multiplication, the rule is $$"a(bc) = (ab)c"$$

$$24\times 3 + 7\times 24$$
$$= (24\times 3) + (24\times 7)$$ ($$\because$$ commutative property)
$$= 24\times (3 + 7)$$ ($$\because$$ distributive property)
$$= 24\times 10$$
$$= 240$$.

Mathematics

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