Question

Which of these expressions will not follow the distributive property?.

• A. $240÷(10+5)$
• B. $13\times (9-5)$
• C. $(3+7)\times 18$

Answer 1

The correct option is A $240÷(10+5)$

Let's check for applicability of distributive law one by one:

$\underset{–}{13\times (9-5):}$
$13\times (9-5)=13\times 4=52$

Applying distributive property:
$13\times (9-5)=13\times 9-13\times 5$
$=117-65=52$

As we can see, $13\times (9-5)=13\times 9-13\times 5$
therefore, it will follow distributive property.

$\underset{–}{(3+7)\times 18:}$
$(3+7)\times 18=10\times 18=180$

Now, by applying distributive property:
$(3+7)\times 18=3\times 18+7\times 18$
$=54+126=180$

As we can see, $(3+7)\times 18=3\times 18+7\times 18$
It will also follow, distributive property.

$\underset{–}{240÷(10+5):}$
$240÷(10+5)=240÷15=\frac{240}{15}=16$, as depicted in figure below,

Now, applying distributive property,
$240÷(10+5)=240÷10+240÷5$
$240÷10$ is shown figure below,

$240÷5$ is shown in figure below,

$\therefore 240÷10+240÷5=24+48=72$

As, $240÷(10+5)=16$ and $240÷10+240÷5=72$

$240÷(10+5)\ne 240÷10+240÷5$
It does not follow distributive property.