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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.
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