Mention the property used in the following expression:
$(-2) \times[3 \times(\frac{1}{2})]]=[[(-2) \times 3] \times(\frac{1}{2})$.

Given :

The given expression is $[(-2) \times[3 \times(\frac{1}{2})]]=[[(-2) \times 3] \times(\frac{1}{2})]$.

To do :

We have to mention the property used in the given expression.

Solution :

Associative property :

$a \times (b \times c) = (a \times b) \times c$

$(-2) \times[3 \times(\frac{1}{2})]]= -2 \times \frac{3}{2} = -3$

$[[(-2) \times 3] \times(\frac{1}{2})= -6 \times \frac{1}{2} = -3$

Therefore, the property used in the given expression is associative property.