Question

Determine the following product by suitable re-arrangement :

$582\times 5\times 60$.

Answer 1

As per the associative property of multiplication of the whole numbers, if $a,b$ and $c$ are any three whole numbers, then :

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

We observe that $5\times 60=300$.

So, we multiply $5$ and $60$ together as shown below :

$582\times 5\times 60=582\times (5\times 60)$

$$\begin{gathered} =582\times 300 \\ =174600 \end{gathered}$$

Hence, the required product is $174600$.