Question

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

A
240
B
72
C
24
D
108

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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