Question

Simplify using distributive property:

$24\times 3+7\times 24$

• A. $240$
• B. $72$
• C. $24$
• D. $108$

Answer 1

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 $"a\left(bc\right)=\left(ab\right)c"$

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